Department of Pharmacology, University of Melbourne, Parkville,
Victoria, Australia (A.C.); and 7TM Pharmacology Systems Research,
Glaxo Smith-Kline Research and Development, Research Triangle Park,
North Carolina (T.K.)
G protein-coupled receptors (GPCRs) represent the
largest family of cell-surface receptors. These receptors are natural
allosteric proteins because agonist-mediated signaling by GPCRs
requires a conformational change in the receptor protein transmitted
between two topographically distinct binding sites, one for the agonist and another for the G protein. It is now becoming increasingly recognized, however, that the agonist-bound GPCR can also form ternary
complexes with other ligands or "accessory" proteins and display
altered binding and/or signaling properties in relation to the binary
agonist-receptor complex. Allosteric sites on GPCRs represent novel
drug targets because allosteric modulators possess a number of
theoretical advantages over classic orthosteric ligands, such as a
ceiling level to the allosteric effect and a potential for greater GPCR
subtype-selectivity. Because of the noncompetitive nature of allosteric
phenomena, the detection and quantification of such effects often
relies on a combination of equilibrium binding, nonequilibrium kinetic,
and functional signaling assays. This review discusses the development
and properties of allosteric receptor models for GPCRs and the
detection and quantification of allosteric effects. Moreover, we
provide an overview of the current knowledge regarding the location of
possible allosteric sites on GPCRs and candidate endogenous allosteric
modulators. Finally, we discuss the potential for allosteric effects
arising from the formation of GPCR oligomers or GPCRs complexed with
accessory cellular proteins. It is proposed that the study of
allosteric phenomena will become of progressively greater import to the
drug discovery process due to the advent of newer and more sensitive GPCR screening technologies.
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I. Introduction |
A general property of all receptors is the ability to interact
with their endogenous ligands (hormones and neurotransmitters) to alter
cellular responsiveness without changing the chemical nature of the
ligand. This is in contrast to enzymes, where oftentimes a substrate is
made to bind in an energetically unfavorable mode that leads to its
eventual modification. G protein-coupled receptors (GPCRs) constitute the largest
superfamily of receptors and, not surprisingly, mediate the majority of
transmembrane signal transduction in living cells. These receptors
respond to a wide range of relatively small and structurally diverse
chemicals such as biogenic amines, peptides, hormones, and even light
with global changes in receptor conformation that then lead to larger
scale protein-protein interactions.
Traditionally, the unifying feature of GPCRs has been their interaction
with G protein(s) to transduce stimuli imparted to the receptor from
the extracellular environment to the intracellular response machinery
of the cell. Implicit in this mechanism, therefore, is the fact that
the intracellular contact points on the GPCR recognized by the G
protein are necessarily distinct from the extracellular domains used by
endogenous ligands. The lateral translocation of GPCRs in the cell
membrane to interact with their cognate G protein(s) is the best known
example of GPCR-protein interaction, but it is by no means the only
such example, because additional protein coupling partners are now
being rapidly identified for the GPCR superfamily (vide infra). The
entire surface of a GPCR can be considered a potential binding site for
biologically active molecules, both proteins and small molecules such
as drugs. It is a major premise of this review that a tripartite system composed of a ligand, a GPRC, and an additional GPCR coupling partner
represents a general motif for ligand action at GPCRs extending beyond
the G protein example. In other words, the requisite interaction
between topographically distinct binding sites on a GPCR to effect
change in cellular function identifies these receptors as natural
allosteric proteins.
Drugs have traditionally been discovered through the screening of
numerous chemical structures on a biological system. The greater the
number of structures tested, the greater is the probability of
detecting a biologically active ligand. Throughout this process, it is
clear that the type of receptor screen employed to detect biologically
active molecules will greatly define the types of molecules detected.
Thus, if the tracer molecule in the screen is a radioligand, then the
ligands most readly detected by that screen will be those that obstruct
the access of the radioligand to its specific binding site. Notably,
the current emphasis away from radioligand binding and toward high
throughput functional screening is beginning to reveal ligands that can
change biological function without exerting apparent effects on
radioligand binding. It is possible that such ligands are not
interacting with the classic, agonist-binding domain of the receptor
but rather with other topographically distinct domains.
This raises an interesting philosophical point in drug discovery,
namely the current paucity of allosteric ligands in the known
population of biologically active molecules. On one hand it could be
assumed that this paucity reflects their relative unimportance and
rarity in chemical space. However, another point of view would suggest
that this paucity reflects the bias imposed on the drug screening
process through the use of radioligand binding. As outlined above, the
need for high throughput screening has, in the past, required
radioligand binding assays to achieve the required volume of sampling
of chemical space for drug discovery. However, the improved technology
of functional screening in the new millennium will certainly test the
potential effects of this bias because the throughput available for
functional testing in reporter, yeast, and melanophore systems now
equals and in many cases surpasses that of radioligand binding. In
turn, this increased screening capability should cause an increase in
the texture of biologically active molecules detected. Whereas, before
1995, the primary chemical targets were agonists, partial agonists, and
antagonists, the availability of functional screens should allow the
detection of new classes of drugs. For example, allosteric enhancers
potentiate the effects of agonists either through enhancement of
agonist affinity, stabilization of agonist/receptor and G protein interaction or other unspecified enhancement of efficacy (vide infra).
Similarly, allosteric modulators could block agonist stimulation of the
receptor without necessarily interfering with agonist binding to the
receptor. Allosteric agonists could activate receptors without being
subject to appreciable blockade by classic antagonists. This review
will discuss examples of these types of ligands and the different
manifestations of allosterism at GPCRs.
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II. Allosteric Receptor Models of G Protein-Coupled Receptors |
A. Historical Perspective
Most of the theoretical framework associated with the study of
ligand-receptor interactions was developed in the first half of the
twentieth century, when very little was known about the actual identity
of receptors themselves. By borrowing from studies in the field of
enzyme kinetics, pharmacologists and physiologists adopted the law of
mass action as a minimal mechanistic descriptor of the interaction
between a ligand and its receptor. Often, the simplest form of the mass
action model
a reversible, saturable, one-to-one interaction between
ligand and receptor
was deemed compatible with experimental
observations. Even today, where much has been accomplished in terms of
identifying the proteinaceous nature and molecular properties of the
major receptor families, the starting point for the qualitative or
quantitative analysis of drug-receptor data remains the concept of the
drug interacting at a "primary" binding site recognized by agonists
and competitive antagonists.
The classical view of ligand-receptor interactions mentioned above has
served pharmacologists faithfully in studies of receptor mechanisms,
classification, and drug discovery, yet as early as the 1930s one of
the pioneers of analytical pharmacology, A. J. Clark (1937)
,
postulated the existence of a "complex receptor with which one drug
can unite without displacing the other drug". In an extensive
treatise on drug-receptor theory, Ariëns et al. (1956)
formalized
and extended Clark's speculation by developing a mathematical model
for a noncompetitive interaction between "a substance A and a
receptor system R, the latter being partly inactivated or sensitized as
a result of the interaction of a substance B with another receptor
system". In Ariëns' model, both "receptor systems" were
considered to be interdependent, "possibly representing two distinct
active loci on the one protein molecule". In a similar vein, Van den
Brink (1969)
coined the term "metaffinoid antagonism" to define
potential drug-receptor interactions where a change in the binding site
of the antagonist led to a change in the binding site of the agonist,
resulting in a subsequent reduction in agonist affinity for its
receptor. Hence, the concept of cross-interactions between the agonist
binding site and other potentially distinct binding domains on
receptors was a relatively early, albeit mainly theoretical, component
of classic receptor theory, alongside the better-known and by far better-studied concept of competitive drug-receptor interactions (Gaddum, 1936
; Arunlakshana and Schild, 1959
; Kenakin, 1997c
).
Much of the early drug-receptor theory was developed to describe the
behavior of receptors that would later be identified as GPCRs.
Unfortunately, detailed mechanistic studies on these receptors were
initially hampered by the fact that the requisite dissociation of the
ligand-receptor binding process from the subsequent signal transduction
events that characterize GPCR activity meant that there were no
sufficiently detailed tools with which to dissect drug actions at these
receptors at the molecular level. This meant that for some time,
drug-GPCR theory remained largely operational. In contrast, early
studies of enzymes and voltage- and ligand-gated ion channels did not
suffer from the same drawbacks as their GPCR counterparts and, thus,
the two most important mechanistic insights that led directly to the
current models of allosterism at GPCRs were derived from the enzyme and
ion channel arena.
1. Cooperativity in Binding.
The first important development
in allosteric theory came from experimental evidence indicating that
more than one molecule of ligand was able to bind to certain enzymes or
ion channels to effect a change in the properties of the protein, a
phenomenon termed "cooperativity". In fact, the well known Hill
equation commonly used nowadays to empirically fit
concentration-response data was originally derived to describe
cooperative binding (Hill, 1910
). Figure
1 illustrates two classic examples of
cooperative binding proteins, the enzyme hemoglobin and the
GABAA ion channel-receptor complex. Simple
mass-action kinetics predict that the binding of a single molecule of
ligand to a single binding site on a protein would yield a hyperbolic
isotherm (when plotted on a linear scale) with a slope coefficient
equal to unity. However, the binding of oxygen to hemoglobin (Fig. 1A)
or GABA to the GABAA receptor (Fig. 1B) are
characterized by distinctly sigmoid curves when plotted on a linear
scale, reflecting the multiple equivalents of ligand binding to the
same protein complex. Studies such as these conducted on a variety of
ion channel-linked receptors, thus, led to the conclusion that certain
receptors can possess more than one binding site for ligands. This
concept invoked another phenomenon that was also originally described
in the field of enzymology, that is, the idea of allosteric (or
allotopic) binding sites.

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Fig. 1.
Cooperative binding in enzymes and ion
channel-linked receptors. A, the binding of oxygen to hemoglobin dimers
(curve D, Hill slope = 1) and tetramers (curve T, Hill slope = 3.3). Concentrations of hemoglobin range from 40 nM (D) to 100 µM
(T). Data taken from Ackers et al. (1992) . B, conductance change at the
crustacean neuromuscular junction produced by -aminobutyric acid
(GABA). Redrawn from Colquhoun (1973) based on data of Takeuchi and
Takeuchi (1969) .
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The term "allosteric" (from the Greek meaning "other site") was
first used by Monod and Jacob (1961)
and subsequently defined by Monod
et al. (1963)
in a paper describing the ability of enzymes to have
their biological activity modified, in either a positive or negative
fashion, by the binding of ligands to sites that were topographically
distinct from the substrate-binding site. Monod et al. (1963)
defined
these accessory binding sites as allosteric sites, in contrast to the
substrate-binding (active) site, which was defined as the isosteric
site. In their original paper, Monod et al. (1963)
outlined three
general classes of interactions between two ligands on the one enzyme
molecule. Class I interactions represented classic competition, where
the substrate and inhibitor competed for overlapping regions on the
receptor. Class II interactions were deemed to encompass situations
where an inhibitor could form an attachment with a region of the enzyme
not recognized by the substrate while some of the inhibitor molecule
could interact with the substrate-binding site in a competitive manner.
An example of this type of "direct interaction" nowadays is the
effect of the "captive agonist" salmeterol at the
2-adrenoceptor, where the long alkyl side
chain of the molecule forms a persistent attachment with the receptor
that allows its salbutamol-like active moiety to interact with the
classic agonist binding domain to yield a persistent response (see
Coleman et al., 1996
). The final type of interaction (class III) was
termed "indirect" or "allosteric". These interactions arise
when the binding of a ligand to the allosteric site induces a
conformational change in the protein and modulates the binding of the
substrate to the isosteric site, and vice versa. The biological
activity of the enzyme was subsequently assumed to arise from the
modified properties of the substrate-binding site, and not through a
direct effect of the allosteric modulator itself. Monod et al. (1963)
referred to this conformational change in the enzyme as an
allosteric transition, although that term has since come to
encompass a slightly different concept (see below).
With regards to receptor proteins, the primary binding site recognized
by the endogenous agonist or hormone is conceptually equivalent to an
enzyme's isosteric site, and has been referred to as the orthosteric
site (Proska and Tucek, 1994
; Christopoulos, 2002
). Any binding site on
a receptor protein that is able to modulate the binding properties of
the orthosteric site by mediating a conformational change in the
receptor may be classed as an allosteric site. Hence, many of the
cooperative interactions that had been reported for ion channel-linked
receptors in the literature in the past, such as the binding of two
acetylcholine molecules to a single nicotinic acetylcholine receptor
(Galzi et al., 1991
) or the binding of two GABA molecules to a
GABAA receptor (Sigel and Buhr, 1997
), are also
allosteric interactions because the binding of one equivalent of ligand
actually alters the affinity of the subsequent binding of the next
equivalent(s) of ligand.
2. Allosteric Transitions: Multistate Models of Receptor
Action.
Before discussing allosteric mechanisms in greater
detail, it is necessary to address some of the issues that have arisen in the past regarding the terminology applied to allosteric proteins (Table 1). The term "allosteric" has
been used by a number of authors in different ways, and this has led to
some confusion in the literature as to what it actually means (e.g.,
see Colquhoun, 1998
). Nowadays, it seems that a distinction is
necessary between the terms "allosteric interaction" and
"allosteric transition". For the purposes of this review, an
allosteric interaction is defined as an interaction that occurs between
two (or more) topographically distinct binding sites on the same
receptor complex. The essential features of a simple allosteric
interaction are as follows: (a) The binding sites are not overlapping,
that is, there is no mutual exclusivity in binding. (b) The binding of
one ligand to its site affects the binding of the second ligand at the
other site and vice versa. Allosteric interactions are, thus,
reciprocal in nature. (c) The effect of an allosteric modulator can be
either negative or positive with respect to the binding and/or function
of an orthosteric ligand.
Although Monod et al. (1963)
initially defined the conformational
change in protein structure associated with an allosteric interaction
as an allosteric transition, they subsequently presented a more
formalized model of allosteric proteins that gave rise to the second
major development in allosteric theory, namely, an emphasis away from
interactions occurring between sites to interactions occurring between
conformational states (Monod et al., 1965
). Allosteric proteins were
then described by these authors as follows: (a) They are oligomeric in
nature (i.e., composed of more than one subunit). (b) Each subunit
possesses one (equivalent) binding site for ligand, thus, giving rise
to cooperative interactions. (c) They can exist as an equilibrium
mixture of two or more states in the absence of ligand, with the
transition between states now being defined as the allosteric
transition. (d) The transition between conformational states involves a
conservation of molecular symmetry such that all subunits "flip"
from one state to another in a concerted fashion. (e) Ligands that
prefer binding to one state over another will "select" the
preferred state and, thus, increase the proportion of proteins in that
state. As a consequence, observed (macroscopic) ligand affinity will
alter depending on the type and amount of conformational state that predominates.
It can be seen that this last definition of allosteric proteins is
quite explicit. Its description of interactions between multiple
subunits makes it immediately applicable to oligomeric proteins that
display cooperative binding, e.g., ion channel-linked receptors. It
should be noted that models dealing with receptor isomerization between
different conformational states were published as early as the 1950s to
describe the postulated mechanism of action of the nicotinic
acetylcholine receptor (del Castillo and Katz, 1957
; Katz and Thesleff,
1957
), although the actual term allosteric was not coined until the
subsequent work of Monod and colleagues (1963)
. An important property
of receptor models that incorporate allosteric transitions between
conformational states is the prediction of receptor activity in the
absence of ligand as a consequence of the isomerization process, i.e.,
constitutive receptor activity (Karlin, 1967
; Colquhoun, 1973
; Thron,
1973
; Leff, 1995
). These models are now more commonly referred to as "two-state" or "multi-state" models and represent the simplest mechanism approximating certain known aspects of protein behavior. In
essence, the two-state model of receptor action is a mechanism of
conformational selection, whereby a ligand selectively binds to a
pre-existing receptor conformation, thereby creating a bias toward that
conformation. In terms of free energy, this mechanism is generally
preferable to one of conformational induction, where the ligand
actually creates the conformation through the binding process (Burgen,
1981
; Kenakin, 1995a
). It should be noted, however, that conformational
selection and conformational induction most likely represent two
extremes of a common mechanism used by proteins in changing the type
and abundance of conformational state in the presence of ligand.
On the surface, the concept of receptor allosterism within the context
of multiple conformational equilibria may seem somewhat removed from
the concept of an interaction occurring between distinct binding sites
on the one protein. For instance, multistate models allow allosterism
to arise simply as a consequence of the transition between one
orthosteric conformation to another, without necessarily postulating
the existence of a second binding site in each conformational state. In
contrast, the simple model of allosteric interaction between two sites
does not explicitly consider the existence of multiple conformations of
the protein on which the sites are situated. As will be discussed
below, these two ideas are not mutually exclusive; rather they address
different aspects of a protein's ability to undergo conformational
changes. To avoid engendering further confusion, the remainder of this
review will use the term "receptor isomerization" when describing
the transition of receptors between multiple conformational states and
"allosteric interaction" when describing a reciprocal interaction
between multiple binding sites on the same protein.
3. Allosteric Interactions: Ternary Complex Models.
Ion
channels and ion channel-linked receptors are known to exist as
oligomers; that is, they are composed of multiple protein subunits, and
with an increased complexity in macromolecular structure comes an
increased probability of multiple ligand binding sites. Allosteric
interactions at ion channel-linked receptors, therefore, have been well
documented and studied for almost half a century now. In contrast,
GPCRs have, until recently, been considered traditionally to exist as
monomers, and relatively fewer allosteric interactions occurring at
GPCRs have been identified relative to ion channel-linked receptors.
Nevertheless, it is now apparent that orthosteric ligand binding at
GPCRs can be subject to allosteric modulation by other ligands or other proteins.
The best known example of an allosteric modulator of ligand binding to
GPCRs is the G protein itself, and, as with the original formulation of
allosteric theory in relation to enzymes and ion channels, the
development of the current allosteric models for GPCRs was also based
on two major ideas. The first idea was the development of two-state
theory for ion channels and ion channel-linked receptors, as described
above (del Castillo and Katz, 1957
; Katz and Thesleff, 1957
; Karlin,
1967
; Colquhoun, 1973
; Thron, 1973
; Leff, 1995
). These models described
how selective affinity of ligands for specific receptor states (in the
case of either open or shut ion channels) could bias the system toward
the favored state. The second major idea in the GPCR field was that
receptors could translocate within membranes and associate with other
membrane-bound proteins (Cuatrecasas, 1974
). Thus, any mechanism
ascribed to a GPCR would need to explicitly invoke the presence of at
least two binding sites on the same receptor protein, one for the
orthosteric ligand and one for the G protein. This tripartite coupling
mechanism represents the simplest scheme for an allosteric interaction
occurring between distinct sites (as opposed to states) on a single
receptor protein.
In general, the interaction between agonist binding and G protein
coupling is positively cooperative in nature (Ehlert, 1985
). This is
logical, given the mechanisms that are thought to underlie signaling
via GPCRs (Gilman, 1987
; Bourne, 1997
; Hamm, 1998
). Agonist binding to
the orthosteric site results in an alteration of receptor conformation
that displays a higher affinity toward the G protein, thus favoring
coupling. However, the binding of GTP to its site on the G protein
results in a change of G protein structure that is transmitted to the
receptor's conformation as a negatively cooperative effect on agonist
binding, thus promoting the uncoupling of the activated G protein from
the receptor and allowing signaling to proceed. These negatively
cooperative effects of GTP on agonist binding underlie the so-called
"GTP shift" that has often been used as a biochemical measure of
agonist efficacy (Kenakin, 1997c
; Christopoulos and El-Fakahany, 1999
).
Figure 2 summarizes the evolution of GPCR
models from simple operational schemes to the contemporary ternary
complex mechanisms. The original TCM, as described by De Lean et al.
(1980)
allowed a ligand-bound activated receptor to form a G protein
complex resulting in activation. This is a simple example of a receptor isomerization mechanism, where the binding of ligand A promotes a
conformation of receptor that either signals in its own right (e.g.,
ion-channels; Fig. 2A, left) or couples to and activates a G protein
(Fig. 2A, right). The next level of progression toward present GPCR
models also involved the incorporation of different receptor
conformations into the GPCR scheme. This latter development owed much
to the introduction of recombinant receptor systems into receptor
pharmacology, because it allowed for the ability to control the
stoichiometry between receptors and G proteins. With this capability
came the discovery of constitutive GPCR activity due to the spontaneous
coupling of receptors in active conformations to G proteins in the
absence of ligands. For this to occur, the minimal receptor model for
such a system is shown in Fig. 2B (left). In the figure, L is the
isomerization constant defining the equilibrium between active (R*) and
inactive (R) receptor states, Ka is
the equilibrium association constant of the ligand-receptor complex and
is referred to as a "cooperativity factor", i.e., it is a ratio
of the affinity of the ligand for the active versus the inactive state
of the receptor. Alternatively, it may be viewed as a measure of the
ability of ligand-bound receptor to enrich the R* state. The use of
cooperativity factors in closed equilibrium reaction schemes such as
those shown in Fig. 2 serves to reduce the number of parameters
required to describe a model while satisfying the principle of
microscopic reversibility (Wyman and Allen, 1951
; Weber, 1975
; Wyman,
1975
; Ehlert, 1985
; Weiss et al., 1996a
). This idea, also referred to
as the concept of "free energy coupling" (Weber, 1972
, 1975
),
states that the energy required to reach one species from another must
be the same at equilibrium, irrespective of what path is chosen, hence,
the use of the cooperativity factor
.

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Fig. 2.
The evolution of allosteric receptor models for
GPCRs. The earliest models were based on the assumption that the law of
mass action dictates the binding of ligand A to the receptor, R,
according to the equilibrium association constant,
Ka, and then subsequently resulted in a
response. This operational approach was then impacted upon by a
progression of mechanistic insights. A, the agonist bound receptor can
isomerize to produce a different state that can signal on its own
(left) or translocate within the membrane to interact with a G protein
(right). B, the receptor, R, can spontaneously isomerize to an active
state, R*, (left) or couple to a G protein, G, or allosteric ligand, B,
(right) in the absence or presence of orthosteric ligand. Thermodynamic
considerations dictate that the isomerization constant, L, and the
equilibrium association constants, Ka,
Kb, and Kg, are
modified to an extent governed by the cooperativity factors, , ,
or , when the same interactions take place on an occupied receptor.
C, the ETC model of Samama et al. (1993) combines the two-state model
with the ternary complex model but only allows for the active receptor
state to interact with G protein. D, the CTC model (left) of Weiss et
al. (1996a , 1996b , 1996c ) allows the inactive R state to interact with
G protein and the active state. This model is formally identical with
the allosteric two-state model (right) of Hall (2000) , which describes
the interaction of an allosteric modulator and orthosteric ligand on a
receptor that can adopt active and inactive conformations.
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When developing the original TCM, De Lean et al. (1980)
also considered
the possibility of a closed (cyclic) system operating in equilibrium,
that is, they speculated about the existence of precoupled RG complexes
in the absence of bound ligand (Fig. 2B, right). However, direct
evidence for this phenomenon was lacking at the time and had to be
inferred from the analysis of complex radioligand binding isotherms.
Nevertheless, the proposal of a requisite ternary complex mechanism to
account for the known behavior of GPCRs paved the way for further
explorations into the properties of such a model (Wregget and De Lean,
1984
; Ehlert, 1985
). Importantly, the symmetry of the model allowed it
to be equally applicable to situations where more than one type of drug
molecule could occupy the receptor at the same time (Stockton et al.,
1983
; Ehlert, 1988
). Observations made initially on studies of the
actions of a series of hexamethonium derivatives and the neuromuscular
blocking agent gallamine on muscarinic acetylcholine receptors had
already suggested that such a mechanism may be operative (Lüllman
et al., 1969
; Clark and Mitchelson, 1976
; Stockton et al., 1983
). Thus,
the simultaneous binding of an orthosteric ligand, A, and an allosteric
ligand, B, to the receptor would be governed by the respective
equilibrium association constants, Ka
and Kb, just like the binding of an
orthosteric ligand and G protein would be governed by the constants
Ka and
Kg (Fig. 2B, right). As before with
the closed two-state model, the thermodynamic requirement of
reversibility also adds cooperativity factors to the affinities between
receptor, orthosteric ligand, and allosteric ligand (
) or G protein
(
) in the full ternary complex model. Interestingly, this principle
is common in most applications of allosteric theory and stems from the
idea that, as described by Sir Francis Bacon in 1620 "it is certain
that all bodies whatsoever have perception"; in terms of the ternary
complex model for receptors, if a receptor species is bound to some
other species in the system, then it cannot be considered identical
with its unbound counterpart. For example, if the receptor is bound to
ligand, its affinity for G protein is
Kg not
Kg. If it is bound to another ligand,
B, then its affinity for agonist is
Ka and not
Ka. This form of the TCM was the first
explicit model of allosteric interactions occurring between
topographically distinct binding sites applied to a GPCR, and it is
still a useful, minimal model with which to assess and quantify
experimental data (vide infra). It should be noted, however, that the
TCM as an allosteric model of receptor-G protein interactions,
on one hand, and receptor-modulator interactions, on the other, can
lead to different predictions with respect to the binding curve of the
orthosteric ligand. This is because G protein accessibility to
receptors within the plane of the membrane can often be limiting,
leading to shallow and/or biphasic orthosteric ligand binding curves
due to G protein depletion (see Ehlert, 1985
). In contrast, allosteric
modulator drugs, like orthosteric ligands, are invariably present in
vast excess relative to the concentration of receptor, and ligand
depletion is, thus, much less likely to occur; the simple TCM
does not predict biphasic or shallow binding curves in the absence of
ligand depletion (vide infra).
The subsequent conclusive demonstration of constitutive GPCR activity
by Costa and Herz (1989)
indicated that receptors could couple to and
activate G proteins in the absence of ligand. This necessitated the
modification of the original TCM described by De Lean et al. (1980)
,
which did not have the capability of spontaneous formation of the R*G
species, into the extended ternary complex model (ETC model; Samama et
al., 1993
), as is shown in Fig. 2C. From this scheme, it can be seen
that the amount of active-state receptor available for subsequent
coupling to G protein is given by the isomerization constant L. Therefore, increasing the relative stoichiometry of receptors versus G
protein leads to an elevated abundance of R*G, the species responsible
for agonist independent response (constitutive receptor activity). For
example, for a system containing 1000 receptors and a value for L of
0.001, there will be one single R* species. However, if the receptor
number were to be increased by a factor of 1000, then the number of
receptors in the signaling R*G form would be 1000. By increasing the
number of receptors present in the system, the number of spontaneously active receptors can be increased until a threshold is attained where
the resulting response from the spontaneously formed R*G species can be
observed. The ETC model was, thus, the first GPCR model to explicitly
incorporate allosteric transitions between receptor states (e.g.,
governed by L and
) and allosteric interactions between multiple
binding sites (e.g., governed by
and
).
Although the ETC model went beyond the original ternary complex model
to accommodate experimental findings, it is thermodynamically incomplete. Again, this is directly related to the principle of free
energy coupling described above, and has culminated in the development
of the more thermodynamically complete, albeit more complex, cubic
ternary complex (CTC) model by Weiss et al. (1996a
-c
; Fig. 2D, left).
Although the CTC model is formally more correct than the ETC model,
this correctness comes at a price of carrying too many parameters to
allow for useful estimation based on experimental observations. In
turn, this can make the model less predictive. Therefore, in practical
terms, it is worth considering whether the more complex CTC model is
worth applying to experimental data instead of the ETC model. The
critical issue is the need for the ARG complex, the nonsignaling
ternary complex between ligand, receptor, and G protein.
There are two approaches that can be used to try to determine which
model, ETC or CTC, has greater utility in the receptor pharmacology of
GPCR systems. One is the biochemical evaluation of the evidence for the
existence of the inactive ARG complex. To date, there is a paucity of
such evidence but it is not clear whether this is because of the
apparent rarity of this species in biological systems or because of the
lack of tools for detecting this species. There are isolated cases
where experimental data are consistent with the existence of a
nonsignaling ternary complex species. One example involves the inverse
agonist ICI-174,864 (N,N-diallyl-Tyr-Aib-Aib-Phe-Leu-OH)
acting at the Gi/o-coupled
-opioid receptor
expressed in HEK 293 cells (Chiu et al., 1996
). Whereas the opioid
agonist DPDPE mediated an inhibition of forskolin-stimulated cAMP
accumulation, ICI-174,864 caused a further stimulation of the cAMP
response above the basal forskolin response, consistent with the
inverse agonist properties previously ascribed to ICI-174,864 (Costa
and Herz, 1989
). However, pretreatment of the cells with pertussis
toxin, which uncouples Gi/o-proteins from their
receptors, resulted in an abolition of both the agonistic effects of
DPDPE and the inverse agonist effects of ICI-174,864. Although the
former finding is consistent with the expectation that agonists require active receptor-G protein complexes, the latter finding with
ICI-174,864 is inconsistent with the notion that inverse agonists
prefer uncoupled receptor-G protein complexes to promote a reduction in
constitutive receptor activity. One explanation for the pertussis toxin
sensitivity of the ICI-174,864 effect is the possibility that this
particular inverse agonist attenuates constitutive receptor activity
not by uncoupling receptor-G protein complexes, but rather by promoting a stable ARG complex that is unable to signal.
Another example of a possible nonsignaling ARG ternary
complex involves the cannabinoid CB1 receptor,
where the inverse agonist N-(piperidino-1-yl)-5-(4-chlorophenyl)-1-(2,4-dichlorophenyl)-4-methyl-pyrazole-3-carboxamide decreased constitutive receptor activity (as measured by activation of
mitogen-activated protein kinase) according to standard inverse agonist
kinetics for the receptor but also, unexpectedly, blocked the pertussis
toxin-sensitive activation of the same kinase by insulin (Fig.
3A) and insulin-like growth factor 1 receptors (Bouaboula et al., 1997
). The crossover inhibition was
dependent on the presence of the CB1 receptor and
did not occur with the non-GPCR, fibroblast growth-factor receptor.
Crossover inhibition was also observed when Mas-7 (a mastoparan analog)
was used to directly activate Gi/o proteins and
suggests that G protein "trapping" was operative through the
interaction between SR141716A and CB1 receptors
to make Gi/o protein inaccessible to other
receptor pathways. This suggests the existence of the nonsignaling ARG
species in this receptor system.

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Fig. 3.
Biochemical evidence for a nonsignaling [ARG]
ternary complex. A, interaction of the inverse agonist, SR141716A, with
the cannabinoid CB1 receptor abolishes
Gi/o-dependent mitogen-activated protein kinase signaling
mediated by the insulin receptor tyrosine kinase, possibly by
sequestering G protein in an inactive ternary complex of
inverse-agonist, CB1 receptor, and G protein. Data taken
from Bouaboula et al. (1997) . B, dissociation kinetics of opioids in
CHO cell membranes expressing the human µ-opioid receptor. Unlike the
antagonist [3H]diprenorphine, the antagonist
[3H]NalBzOH and the agonist [3H]DAMGO each
displayed biphasic dissociation kinetics, indicative of two affinity
states of the receptor. The biphasic binding was sensitive to guanine
nucleotides, suggesting that both [3H]DAMGO and
[3H]NalBzOH were coupling to G proteins, but only the
former agent was able to initiate a response. Data taken from Brown and
Pasternak (1998) .
|
|
Similarly, in CHO cells stably transfected with µ-opioid receptors,
there is biochemical evidence of a nonsignaling ligand/receptor/G protein complex. In this system the potent µ-opioid receptor
antagonist naloxone benzoylhydrazone (NalBzOH) blocks agonist-mediated
cyclic AMP responses. However, a 3-fold enhancement of affinity was
observed for NalBzOH in equilibrium binding studies in the presence of the stable GTP analog Gpp(NH)p. This indicated a low level of negative
efficacy for this ligand at this receptor and also that NalBzOH has a
preferential affinity for the inactive state of the receptor. In
apparent contrast to this, [3H]NalBzOH
demonstrated biphasic kinetics indicative of two affinity states (Fig.
3B), consistent with an association of at least one state with G
protein (Brown and Pasternak, 1998
). An association with G protein
(with no concomitant signaling) was indicated by the elimination of the
high affinity state by Gpp(NH)p. The lack of a similar effect by the
µ-opioid antagonist diprenorphine and the production of this same
effect with pertussis toxin treatment indicated that the high-affinity
component was a ligand-specific receptor complex associated with
Gi/o protein.
Most recently, a study by Chen et al. (2000a)
provided strong evidence
for the potential of a mammalian GPCR to inhibit signaling in a
dominant-negative manner by sequestering G protein
-subunits in a
nonsignaling ternary complex. Specifically, a point mutation in Phe303
in the sixth transmembrane domain of the
1b-adrenoceptor resulted in a receptor that
displayed enhanced agonist binding affinity relative to the wild type,
but a loss in agonist-mediated signaling through the phosphoinositide
(PI) pathway. Furthermore, the mutant receptor, but not the wild type,
could be coimmunoprecipitated with G
q in the
absence of agonist, indicating a tight coupling of mutant receptor to G
protein, and overexpression of G
q-subunits resulted in a rescue of the dominant negative activity of the mutant
with respect to PI signaling. Taken together, these findings are
compatible with the ability of the mutant
1b-receptor to selectively sequester
G
q-subunits in a conformation that promotes high agonist binding affinity but not signaling.
A second potential method of determining which model best fits a given
experimental system is to examine the predictions of the models and
compare those with experimental findings. For example, both the ETC and
CTC models predict that increasing the amount of G protein available to
the receptor will increase the amount of R*G species and, subsequently,
the amount of constitutive activity. The relationship between G protein
and constitutive activity predicted by the ETC model is given by (Chen
et al., 2000b
)
|
(1)
|
As can be seen from the above equation, at theoretically infinite
concentrations of G protein, the constitutive activity will reach the
system maximal response. A different relationship is predicted by the
CTC model. As described by Weiss et al. (1996a
,b
,c
), the relationship
between constitutive activity and receptor number, expressed as a
fraction of the maximal system response, is given by
|
(2)
|
If receptor concentration is not limiting (i.e., as [R]
), then the constitutive activity will reach an asymptotic value of
|
(3)
|
For a high-efficacy agonist, 
1 and the expression
reduces to
|
(4)
|
Due to the possibility of producing a nonsignaling RG species, the
CTC model predicts that the constitutive activity produced by addition
of G protein need not reach the system maximum.
It can be seen that the two models predict the same qualitative but
differing quantitative responses. Unfortunately, although submaximal
levels of constitutive activity have been observed with receptor
transfection experiments in Xenopus laevis melanophores (Chen et al., 2000b
), it is not possible to determine whether the G
protein levels in these cells were limiting and, thus, prevented the
production of system maximal response. Also, because cellular responses
are amplified functions of [R*G], it is not possible to determine
whether a full constitutive maximal response relates to a submaximal or
fully maximal conversion of receptor species to R*G.
It is presently unclear which of these models better predicts and
describes experimental findings with GPCRs. On the practical side, the
ETC model has fewer parameters, is simpler to use, and is, therefore,
parsimonious. The CTC model is heuristic and more encompassing but has
a greater number of nonestimatable parameters. It could be that
different systems are better suited for different models, i.e., there
may be GPCR systems where the ARG is so unimportant as to be
negligible, thereby, making the ETC model preferable, and other systems
where the ARG species plays a role, thus, necessitating use of the CTC model.
Another application of the CTC model exploits the symmetry in the model
with respect to the reciprocity of interaction between orthosteric and
allosteric sites. If it is assumed that the ligand occupying the
secondary site on the receptor is not a G protein, but rather an
allosteric modulator drug, then the model can be recast to yield a
mathematical description of drug-drug allosteric modulation between two
binding sites on a receptor that exists in both active and inactive
states (see Fig. 2D, right). The properties of this "allosteric
two-state model" were recently explored by Hall (2000)
, who compared
it to the CTC model for agonist-G protein interaction. Although the
equations derived from the model are formally identical with those of
the G protein-based CTC model, there are important differences between
the two models with respect to the effects of the cooperativity factors
on receptor activation (Hall, 2000
). This is because the allosteric
two-state model (Fig. 2D, right) quantifies response as the production
of activated receptor species (R*, AR*, BR*, and AR*B), as would be the
case for ion channel-linked receptors. In contrast, the CTC model
quantifies response as the production of activated receptor-G protein
species (i.e., R*G, AR*G). Thus, the
parameter in the allosteric
two-state model only modifies orthosteric ligand affinity; the
equivalent parameter in the CTC model,
, modifies the ability of
agonist to interact with G and, thus, affects response production and efficacy. As with the CTC model versus the ETC model, the applicability of the two-state allosteric model will depend on the observations to
which it is applied and the systems in which it is tested. The
allosteric two-state model would be most suitable, for instance, at ion
channel-linked receptors, where the production of stimulus is
equivalent to production of response. One interesting prediction of the
model is the property of coagonism, whereby an allosteric modulator can
modify orthosteric ligand intrinsic efficacy without itself possessing
any efficacy; this is embodied in the parameter,
, in Fig. 2D.
Coagonism is commonly observed for ligands acting at the NMDA receptor,
for example (Corsi et al., 1996
).
B. Behavior of the Ternary Complex Model
Allosteric interactions at GPCRs can be manifested in a variety of
ways. A useful means of obtaining a picture of the possible repertoire
of behaviors displayed by allosteric ligands is to simulate them using
one of the allosteric ternary complex models introduced above and to
compare the predications of the model with experimental observations.
When choosing the most appropriate model for such an exercise, a
trade-off needs to be made between number of model parameters and
parsimony in model predictive capabilities. For this reason, the simple
allosteric TCM (e.g., Fig. 2B) remains the most parsimonious and most
commonly used model for both prediction and quantification of
allosteric interactions at GPCRs (Ehlert, 1988
; Lazareno and Birdsall,
1995
; Christopoulos, 2000a
,b
, 2002
). At best, the model can be used to
derive actual estimates of cooperativity factors and ligand affinities
under the appropriate experimental conditions. At worst, it can provide
semiquantitative or operational parameters that can still be useful in
system characterization and/or subsequent experimental design. Thus,
some discussion about the operational behavior of the simple allosteric
TCM is warranted.
As outlined previously, the simple allosteric TCM at GPCRs involves the
concomitant binding of two ligands, A and B, to the one receptor, R, to
form a ternary complex, ARB. For illustrative purposes, Scheme
1 will be adopted.
Ligand A binds to the orthosteric site, whereas ligand B, the
allosteric modulator, binds to the allosteric site. The constants Ka and
Kb denote the equilibrium association
constants for the binding of A and B, respectively, to their binding
sites on the unoccupied receptor. In this regard, each of these
bimolecular reactions is no different from the standard mass-action
schemes applied to orthosteric binding. However, allosteric
interactions are not only characterized by unconditional ligand
affinity constants, but also by the cooperativity factor denoted here
by the symbol
. Values of
> 1 denote positive
cooperativity, whereas
< 1 denotes negative cooperativity.
Values of
approaching zero would be indistinguishable from
competitive antagonism. In contrast, an
value equal to 1 denotes an
allosteric interaction that results in unaltered ligand affinity at
equilibrium. Allosteric interactions can still be discerned under
nonequilibrium conditions, and this is discussed later (vide infra).
In addition to the well characterized allosteric effects between
agonists and G proteins occurring at GPCRs, a growing number of studies
are identifying additional allosteric sites located on specific GPCRs.
The best studied examples involve the muscarinic acetylcholine
receptors, with allosteric interactions having been conclusively
demonstrated at all five subtypes of these receptors (Henis et al.,
1989
; Lee and El-Fakahany, 1991
; Tucek and Proska, 1995
; see Birdsall
et al., 1996
; Ellis, 1997
; Christopoulos et al., 1998
; Holzgrabe and
Mohr, 1998
). However, allosteric interactions between various ligands
have also been demonstrated at other GPCRs, as shown in Table
2. Although this may seem to be a rather
diverse list of receptors, allosteric interactions at GPCRs share a
number of common features that allow them to be detected and possibly used in a therapeutic sense.
From the simple scheme described above, fractional receptor occupancy
by the orthosteric ligand A (
A) is equal to
([AR] + [ARB]/[R]) and is expressed as
|
(5)
|
where KA and
KB denote the equilibrium dissociation
constants of A and B, respectively, at the free receptor. In the
absence of allosteric modulator, the receptor occupancy of the
orthosteric site is determined by the orthosteric ligand's equilibrium
dissociation constant, KA. However,
when an allosteric ligand is present, the occupancy of the orthosteric
site will now be determined by the following composite parameter,
KApp
|
(6)
|
If the interaction between A and B is positively cooperative
(
> 1), then KApp < KA and the binding curve of ligand A
at the modulator-occupied receptor will be shifted to the left relative to the binding curve of A at the free receptor. In contrast, negative cooperativity between A and B (
< 1) will be manifested as a rightward displacement of the binding curve for A (i.e.,
KApp > KA). Figure
4 illustrates these relationships for the
binding of an orthosteric ligand in the presence of increasing
concentrations of an allosteric modulator with an
value of either
0.1 (negative cooperativity) or 10 (positive cooperativity). This
figure also illustrates an important aspect of allosteric interactions,
namely that these types of interactions approach a limit, the extent of
which is governed by the magnitude of
. The closer the value of
is to 1, the more readily the limit is approached with increasing concentrations of B.

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Fig. 4.
Effect of a negative allosteric modulator (A),
positive allosteric modulator (B), or a competitive antagonist (C) on
orthosteric ligand-receptor occupancy ( A) based on the
simple ternary complex model for allosteric interactions (eq. 5). For
all the simulations, pKA = 6 and
pKB = 9. The modulator, B, modifies
orthosteric ligand affinity to a limit determined by the cooperativity
factor ( ) that characterizes the interaction between allosteric and
orthosteric sites. In these examples, ligand affinity is either
maximally diminished (A) or enhanced (B) by a factor of 10. In
contrast, simple competitive interactions (C) are characterized by
mutually exclusive binding of the two ligands for the same site and,
thus, allow for a theoretically limitless dextral shift of orthosteric
ligand occupancy.
|
|
C. The Molecular Nature of Allosterism at G Protein-Coupled
Receptors
The ability of orthosteric ligands, once bound, to modify the
signaling properties of receptors has been defined as a measure of
orthosteric ligand efficacy (Kenakin, 1996a
, 2002
). The very nature of
efficacy is intertwined with the ability of the orthosteric ligand to
produce a conformation of the receptor that either promotes signaling
(as is seen with agonists) or attenuates constitutive receptor
signaling (as is observed with inverse agonists). Because the binding
of an allosteric modulator to a distinct accessory site on the receptor
causes its own alteration of receptor conformation, it is conceivable
that the resulting conformation may influence orthosteric ligand
efficacy, in addition to the effects on orthosteric ligand affinity
described in the preceding section. Thus, although assays of receptor
signaling are necessarily influenced by post-binding stimulus-response
events, they nevertheless afford the opportunity to detect specific
receptor conformations promoted by allosteric modulators that may not
necessarily be evident in radioligand binding assays.
When considering the conformational space of GPCRs, it is often
parsimonious to confine GPCR activity to two states (an inactive state
that does not activate G proteins and an active state that does).
However, there are no data to suggest that agonists simply enrich a
single population of active receptor state to produce response. It is
well established that proteins exist in numerous conformations or
substates (Frauenfelder et al., 1988
, 1991
; Frauenfelder, 1995
).
Thermal energy causes fluctuation between these states with certain
low-energy states being "favored" (Gerstein et al., 1994
; Haltia
and Freire, 1995
). Although the ETC and CTC models are sometimes
referred to as two-state models, this is a misnomer from the point of
view of ligand activation. The two states R and R* refer to the
unliganded forms of the receptor, and upon binding of ligand, the
factors
and
(and additionally
for the CTC model) confer
complete ligand specificity to the protein species. Under these
circumstances, these models are infinite-state models because ligands
could have unique values for
,
, and
(Watson et al., 2000
).
This introduces the concept of G protein- and ligand-selective receptor
active states.
1. G Protein-Specific Receptor Conformations.
There are
numerous lines of evidence to suggest that different agonists produce
response through the formation of different receptor active states. The
most compelling data are obtained from receptors that are pleiotropic
with respect to the G proteins with which they interact because these
different G proteins provide a means of differentiating signaling
active states. From this standpoint, the pattern of activation of
various stimulus-response pathways can be used to infer the existence
of these states. This phenomenom is termed "stimulus trafficking",
whereby agonists differ in the ability to stimulate separate
stimulus-response pathways through a single receptor (Kenakin, 1995a
,
1995b
, 1997a
).
It is known that different regions of the cytosolic loops of GPCRs
activate different G proteins (Ikezu et al., 1992
; Wade et al., 1999
),
and it would not be expected that different tertiary conformations of
the receptor protein would expose these different regions in an
identical manner. Therefore, if ligands produce different tertiary
conformations, then these may be detected through the relative
capabilities of the resulting species to activate different G proteins.
This should not be confused with differential activation of pathways
through strength of stimulus. If a receptor couples to one pathway with
great efficiency and to another one poorly, a strong agonist with high
efficacy may activate both pathways, whereas a weaker agonist would
activate only the most efficiently coupled pathway; this is not
stimulus trafficking. To conclude true differences in receptor active
state, a reversal of potency for the pathways or differences in the
maximal activation of the pathways by the agonists must be
demonstrated. This has been shown for some receptors. For example, the
human 5-HT2C receptor is coupled to two separate
response pathways in CHO cells, namely phospholipase
A2-mediated arachadonic acid release and
phospholipase C-mediated inositol phosphate accumulation (IP
accumulation). There is a striking reversal in the maximal responses of
agonists in this system that cannot be accommodated by postulating the production of a single receptor active state. Thus, the agonist (±)-1-(2,5-dimethoxy-4-iodophenyl)-2-aminopropane produces a higher maximal stimulation than the 5-HT agonist quipazine for arachadonic acid release (Berg et al., 1998
). Because efficacy is the sole receptor-related determinant of maximal response, these data indicate that (±)-1-(2,5-dimethoxy-4-iodophenyl)-2-aminopropane has a greater efficacy for IP accumulation than quipazine for arachadonic acid release. This relative efficacy for these agonists is reversed for IP
accumulation where quipazine has the greater efficacy. Thus, a
receptor-related parameter, namely efficacy, reverses with the two
agonists for the same receptor. Similarly, there is a reversal of the
relative potency of substance P analogs on neurokinin NK-1 receptors
described where substance P is 2.1 times more potent than the analog
[P3Emet(O2)11]SP
for producing cyclic AMP through NK-1 receptor activation, but is 0.11 times less potent than the analog for producing phosphoinositol hydrolysis through activation of the same receptor (Sagan et al., 1999
). Reversals of efficacy also have been reported for pituitary adenylate cyclase-activating polypeptide receptors (Spengler et al.,
1993
), dopamine receptors (Meller et al., 1992
), and
Drosophila tyramine receptors (Robb et al., 1994
). In
general, these data cannot accommodate a mechanism whereby all of the
agonists involved produce an identical active receptor state.
Specially designed recombinant GPCR systems (termed
"stimulus-biased" assay systems; Watson et al., 2000
) also can be
used to detect stimulus trafficking. These systems consist of surrogate host cells for receptor transfection with identical cellular
backgrounds except for the enrichment of a single G
-subunit. A study
with human calcitonin receptor (type 2), a pleiotropic receptor that can interact with Gs, Gq,
and Gi, (Horne et al., 1994
), showed striking
reversals in relative potencies of peptide calcitonin agonists.
Specifically, after transfection of the receptors into wild-type HEK
293 cells and HEK cells stably transfected with enriched populations of
G
-subunits, differences in relative agonist potencies were observed.
For example, the relative potency of porcine calcitonin and rat amylin
changed by a factor of 18 (from 4.6 to 84) when compared in wild-type
and G
s-enriched cells. This suggests that
porcine calcitonin produces a conformation more conducive to using
Gs than does amylin. In these studies, even the
rank order of potency of the agonists changed in that the potency of
rat calcitonin gene-related peptide (CGRP) was 0.3 times that of rat
amylin in wild-type cells and three times greater than rat amylin in
G
s-enriched host cells (Watson et al., 2000
).
Because the classification of receptors using agonist potency ratios
and rank orders of potency is based on the tenet that the active state
produced by the agonists is the same, deviations from this behavior
suggest that the tenet is not valid in this system.
Another observation not consistent with the idea that agonists simply
enrich the spontaneously formed receptor active state is the phenomenom
of "protean agonism". This behavior has been described in
theoretical terms as the formation, by an agonist, of a receptor active
state that is less efficacious than the spontaneously formed
constitutive one (Kenakin, 1995c
, 1997b
). It was named for the Greek
god Proteus who could change shape at will. The hallmark of protean
agonists is the production of positive agonist response in
nonconstitutively active systems and inverse agonism in constitutively
active ones. Such a pattern of response can be used as presumptive
evidence that the agonist produces a receptor active state that is
different (i.e., of lower efficacy) than the spontaneously formed
active state, i.e., ligand selective agonism. Under these
circumstances, protean agonism can be considered a looking glass into
receptor states.
There are theoretical conditions under which protean agonism could
occur. For example, in the CTC, a ligand could promote the R* form of
the receptor by having
> 1 but then produce a liganded form
of the receptor active state of lower affinity than the unliganded form
(
< 1); the result would be a reversal of the positive to a
negative agonism under conditions of constitutive activity.
Importantly, there are also experimental examples of protean agonism.
The
-adrenoceptor ligand dichloroisoproterenol has been shown to
produce positive partial agonism in Sf9 cells transfected with
2-adrenoceptors. When membranes were prepared from these same cells, the system demonstrated constitutive activity (due to removal of cellular GTP) and dichloroisoproterenol then became
an inverse agonist. The same behavior was observed for the ligands
labetolol and pindolol (Chidiac et al., 1994
, 1996
).
The kinetics of cyclic AMP formation have been used to detect
agonist-selective receptor states. Thus, in the presence of limiting
GTP concentrations, such kinetics indicate a differential rate of
heterotrimer dissociation of G protein subunits with different
-adrenoceptor agonists (Krumins and Barber, 1997
). Similarly, differences in the ability of
-adrenoceptor agonists to hydrolyze inosine versus guanosine triphosphate suggest the formation of ligand-specific receptor active states as well (Seifert et al., 1999
).
Mutation studies also suggest that ligands stabilize different tertiary
conformations of receptors. For example, mutations of dopamine
D2 receptors produce agonist-specific abolition
of G protein activation (Wiens et al., 1998
). Desensitization of receptors by some agonists also suggests differential receptor active
state formation. Whereas it would be expected that the ability of
agonists to induce desensitization would parallel their ability to
produce response (i.e., intrinsic efficacy), studies on µ-opioid
receptors have indicated a disproportionate desensitizing and receptor
phosphorylating property of methadone and L-
-acetyl methadone, thereby, suggesting different receptor conformational changes with these ligands (Yu et al., 1997
). Differential
desensitization also has been demonstrated for methadone and
buprenorphine on µ-opioid receptors (Blake et al., 1997
).
Studies with purified
-adrenoceptor covalently labeled with
cysteines with an environmentally sensitive fluorophore
4[(iodoacetoxy)ethylemethylamino]-7-nitro-2,1,3-benzoxadiazole allowed observation of changes in protein conformation with ligand binding (Gether et al., 1995
). A statistical analysis of these data
indicates serious deviation from a simple two-state model of receptor
activation suggesting that different ligands produce uniquely different
protein conformations (Onaran et al., 2000
).
The major window of detection of allosteric effects
historically has been receptor-mediated physiological response. Thus, ligands have been detected as allosteric modulators or enhancers on the
basis of effects resulting in changes in tracer ligand affinity and/or
tracer ligand-induced response. However, different receptor
conformations are involved in receptor-mediated effects other than
cellular signaling (Kenakin, 2002
). Thus, conformations resulting in
changes in receptor phosphorylation and/or receptor internalization
also can be relevant to the therapeutic effect of allosteric ligands.
For example, studies on receptor internalization suggest
ligand-specific receptor conformations. Thus, the cholecystokinin receptor antagonist D-Tyr-Gly-[(Nle
28,31,D-Trp30)cholecystokinin-26-32]-phenethyl
ester is an antagonist on the receptor producing blockade of responses
to cholecystokinin but produces profound acceleration of receptor
internalization (Roettger et al., 1997
). This indicates the formation
of a unique conformation that does not signal to G proteins but is more
amenable to receptor phosphorylation and subsequent internalization.
Similarly, whereas enkephalins and morphine both stimulate
- and
µ-opioid receptors, enkephalins induce rapid receptor internalization
while morphine does not (Keith et al., 1996
).
2. Ligand-Specific Receptor Conformations.
Although the
preceding discussion of specific receptor conformations focused on the
receptor-G protein interaction, it is evident that the entire surface
of a GPCR may be viewed as a potential binding site, and any ligand
binding to either the orthosteric or allosteric site(s) on a GPCR has
the potential to alter receptor conformation such that the affinity
and/or intrinsic efficacy of a ligand binding to the other site(s) on
the GPCR will also change. This scheme is also compatible with the
potential for multiple ligand-specific receptor conformations to be
engendered depending on the binding site and extent of conformational
change induced in the receptor protein. Thus, ligands that would be
classed as allosteric modulators with respect to their effects on the endogenous orthosteric agonist for the receptor of interest should be
placed in the same realm as other modifiers of receptor properties, such as agonists, inverse agonists, and G proteins. At the molecular level, therefore, the classic TCM of allosteric interactions and its
variants (Fig. 2) are all subsets of a more general, extended, model of
receptor activity. To visualize such a model, one can begin with a
general picture of a receptor protein that contains separate binding
sites for an orthosteric ligand, an allosteric modulator, and a G
protein. Thermodynamic considerations imply that the occupancy of any
one of the binding sites on this receptor can alter its conformation
such that the occupancy of any of the other sites on the protein is
also altered. This cross-reciprocity can be quantified in terms of
separate cooperativity factors for the interaction between orthosteric
and allosteric sites, orthosteric and G protein sites, and allosteric
and G protein sites. Because efficacy at GPCRs is invariably related to
the ability of the receptor to interact with its cognate G protein(s),
then efficacy at the molecular level can be impacted not only by the
interaction between orthosteric ligand and G protein or orthosteric
ligand and allosteric modulator (e.g., Section IIB), but also by the interaction of the allosteric modulator and the G protein. For instance, Fig. 5A shows the effects of
the allosteric modulator alcuronium on PI hydrolysis in CHO cells
transfected with the human M1 muscarinic
acetylcholine receptor (Jakubík et al., 1996
). Even in the
absence of the muscarinic agonist carbachol, alcuronium was able to
elicit a significant stimulatory effect on PI hydrolysis that was
insensitive to antagonism of the orthosteric site by the classical
muscarinic antagonist quinuclidinyl benzilate. The effect of alcuronium
on PI hydrolysis was absent in cells that did not express the
M1 muscarinic receptor. Thus, it can be concluded that alcuronium was promoting receptor-G protein coupling via an action
at the allosteric site on M1 receptors. In a
similar manner, the allosteric modulator gallamine was also found to
activate the M1, M2, and
M4 muscarinic receptors in the absence of any other ligand (Jakubík et al., 1996
), although it inhibits the binding of the endogenous muscarinic agonist acetylcholine at the same
receptors (Lazareno and Birdsall, 1995
). This latter finding is a
striking example of ligand-specific receptor conformations, whereby
gallamine (and alcuronium) can promote conformations that are
positively cooperative for G protein coupling but negatively cooperative for agonist binding.

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Fig. 5.
G protein-dependent effects of allosteric
modulators. A, effects of the orthosteric agonist, carbachol ( ), and
allosteric modulator, alcuronium ( ), on phosphoinositol production
in CHO cells transfected with the human M1 muscarinic
acetylcholine receptor. Data taken from Jakubík et al. (1996) .
B, effect of the allosteric modulator, PD 81,723, on the binding of the
orthosteric agonist [3H]CHA to adenosine A1
receptor-G protein complexes in CHO cells. Data taken from
Kollias-Baker et al. (1997) .
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Allosteric ligand-mediated receptor-G protein interactions
are not restricted to the muscarinic acetylcholine receptors. Figure 5B
shows the effect of the allosteric modulator PD 81,723 on the saturation binding properties of the agonist
[3H]N6-cyclohexyladenosine
([3H]CHA) at the adenosine
A1 receptor. In the absence of modulator, the
radiolabeled agonist could only recognize approximately one-ninth of
the total receptor population, as defined by the binding of the
radiolabeled antagonist,
8-[dipropyl-2,3-3H(N)]cyclopentyl-1,3-dipropylxanthine,
[3H]CHA (Kollias-Baker et al., 1997
). This finding
indicated that the agonist [3H]CHA was
selectively labeling only high-affinity receptor-G protein complexes,
rather than the entire receptor pool. Interestingly, the addition of PD
81,723 resulted in a significant enhancement in the total density of
binding sites recognized by [3H]CHA with no
change in the agonist KD value. This
finding is inconsistent with a direct allosteric effect of the
modulator on agonist affinity, but is in accord with a positive
allosteric effect on receptor-G protein coupling. In essence, it seemed
as if PD 81,723 was able to "create" more binding sites by
promoting a greater proportion of high-affinity receptor-G protein
states for the radiolabeled agonist (Fig. 5B). This finding is in
agreement with previous studies using PD 81,723, which showed that this particular modulator could enhance agonist binding to adenosine A1 receptors (Cohen et al., 1994
), decrease
antagonist binding at these receptors (Bruns and Fergus, 1990
), and
activate the receptors in its own right (Bruns and Fergus, 1990
).
It is evident, therefore, that allosteric modulators of GPCRs may
directly affect receptor function in the absence of orthosteric ligand
and can, thus, be subdivided into the following categories (Lutz and
Kenakin, 1999
). (a) Allosteric enhancers: These ligands exert their
effects by enhancing the affinity of the orthosteric ligand for its
site on the receptor. (b) Allosteric agonists: These ligands exert
their effects by promoting G protein coupling independent of any
effects on orthosteric agonist binding. (c) Allosteric antagonists:
These ligands can exert their effects by one or a combination of
mechanisms; they can decrease the affinity of the receptor for its
orthosteric agonist and/or decrease the affinity of the receptor for
its G protein(s).
To be thermodynamically complete, any model of allosteric
interactions between multiple ligands on the same GPCR must, thus, take
into account the ability of the receptor to isomerize between multiple
conformational states and to bind to G protein. At equilibrium, each
conformational state is characterized by its own set of cooperativity factors. Even for the "simplest" case of two receptor conformations (R for inactive and R* for active) the resulting thermodynamic picture
(Christopoulos et al., 1998
) can become quite complicated; the model is
shown in Fig. 6. Nevertheless, this
quaternary complex model (QCM) of receptor allosterism reflects the
fact that allosteric modulators of GPCRs possess a rich repertoire of
behaviors that can extend beyond simple changes on orthosteric ligand
binding affinities. In addition to the possible ternary complexes
comprising the receptor, G protein, and either orthosteric or
allosteric ligand, the model also allows for the quaternary complexes
of orthosteric ligand, allosteric ligand, G protein, and receptor in
both active (AR*BG) an inactive states (ARBG). Table
3 defines the constants and cooperativity
factors that describe the model, whereas Table
4 lists the equations describing
occupancy, potency, and response parameters of an orthosteric ligand
based on the model. Table 5 shows the
equations for KApp, response and
EC50 from the QCM under the special conditions of
[B] = 0 or [G] = 0, where it can be seen that the model then
becomes formally identical with the CTC model of Weiss et al. (1996a)
or the allosteric two-state model of Hall (2000)
, respectively. Thus,
both latter models are subsets of the quaternary complex model of
allosterism at GPCRs.

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Fig. 6.
The quaternary complex model of allosteric
interactions at GPCRs; a thermodynamically complete, extended model
taking into account the concomitant binding of orthosteric ligand, A,
allosteric ligand, B, and G protein, G, on a receptor that can exist in
two conformational states (R and R). The model parameters are defined
in Table 3.
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TABLE 4
Occupancy and response relationships according to the quaternary
complex model of allosteric interaction at GPCRs
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TABLE 5
Meaning of observed affinity (KApp),
(fractional) response, and EC50 in the quaternary complex
model under different limiting conditions
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Although a detailed examination of the properties of the QCM are beyond
the scope of this review, one important aspect of the model is the
ability to incorporate allosteric modulator effects on receptor-G
protein coupling. For example, simulations based on the model (not
shown) reveal that an increase in the cooperativity factor
, which
governs G protein binding to the receptor occupied by allosteric
ligand, can result in an enhancement of maximal orthosteric ligand
binding capacity (defined as total G protein-coupled receptors bound to
[A]) with no effect on apparent orthosteric ligand affinity. This is
exactly what has been observed experimentally with the effects of PD
81,723 on adenosine A1 receptors (e.g., Fig. 5B)
and cannot be accommodated within the other allosteric receptor models
described above.
 |
III. Detecting Allosteric Interactions |
Allosteric interactions can be quite complex and there are a
number of pharmacological approaches that are best used in tandem to
successfully detect and quantify such interactions at GPCRs. Allosteric
phenomena can be detected using radioligand binding assays and
functional tissue or cellular assays. Because many allosteric effects
are often subtle and characterized by different degrees of
cooperativity, screening assays will need to be optimized for detecting
these particular effects, and this may entail using different
conditions than would normally be used for screening orthosteric ligands.
A. Assays of Radioligand Binding
1. Equilibrium Binding Assays.
Radioligand binding assays
often provide the most direct means for visualizing allosteric
behavior. For example, Fig. 7A shows the
effects of the negative allosteric modulator, oleamide, on the
saturation binding properties of [3H] 5-HT at
the 5-HT7 receptor expressed in HeLa cells,
whereas Fig. 7B shows the effect of the modulator gallamine on the
saturation binding of
[3H]N-methylscopolamine at the
M2 muscarinic receptor expressed in CHO cells.
Although in each instance the modulator is able to shift the
radioligand binding curves to the right, the allosteric nature of the
interaction is revealed as progressively higher concentrations of
antagonist fail to cause significant dextral displacements of the
radioligand saturation curve. These observations are in direct contrast
to what would be expected for a simple competitive interaction, where,
theoretically, there would be no limit to the dextral displacement of
the radioligand curve attainable in the presence of increasing
antagonist concentrations. A common graphical method for assessing the
relationship between radioligand saturation binding and antagonist
concentration involves the determination of the affinity shift, that
is, the ratio of radioligand affinity in the presence
(KApp) to that obtained in the absence
(KA) of each concentration of
antagonist. A plot of log (affinity shift
1) versus log
[antagonist] should yield a straight line with a slope of 1 for a
competitive interaction, but a curvilinear plot for an allosteric
interaction. Such curves are evident in Fig. 7, C and D, which shows
the affinity shift plots for the interaction between oleamide and
[3H]5-HT or gallamine and
[3H]N-methylscopolamine,
respectively.

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Fig. 7.
Allosteric modulation by oleamide (A and C) of the
binding of [3H]5-HT in HeLa cell membranes transiently
transfected with the 5-HT7 receptor or gallamine (B and D)
of the binding of [3H]NMS in cell membranes stably
transfected with the human M2 muscarinic acetylcholine
receptor. A, radioligand saturation binding curves obtained in presence
of the following concentrations of oleamide: 0 ( ), 0.1 nM ( ), 10 nM ( ), 30 nM ( ), 100 nM ( ), 300 nM ( ), and 1 µM ( ). B,
effect of oleamide on the ratio of [3H]5-HT
KD values ("affinity-shift") determined
in the presence or absence of the modulator. The dashed line shows the
predicted behavior of a competitive antagonist. Data taken from Hedlund
et al. (1999) . C, radioligand saturation binding curves obtained in
presence of the following concentrations of gallamine: 0 ( ), 1 µM
( ), 3 µM ( ), 10 µM ( ), and 100 µM ( ). D,
affinity-shift for the interaction between [3H]NMS and
gallamine. Data taken from Christopoulos (2000b) .
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2. Inhibition Binding Assays.
Radioligand inhibition, or
competition, binding assays are more commonly used for the routine
screening of novel chemical entities than saturation binding assays, so
it is quite likely that the first detection of an allosteric modulator
may occur during this type of experiment. Of course, in the latter
instance, the interaction cannot be called competitive; but for
allosteric modulators with high degrees of negative cooperativity, the
interaction may be mistaken as competitive if low degrees of
radioligand occupancy are investigated. Because of this potential
pitfall in interpreting inhibition binding experiments, it is useful to
explore the meaning of the standard observed parameters in binding
curves in terms of the simple allosteric model outlined above (section
IIB). Thus, an inverse sigmoidal curve is predicted for an allosteric
inhibition of a given amount of bound radioligand much like what is
observed for a competitive antagonist. Considering only specifically
bound radioligand, the signal (
A) from a
radioligand [A], in the presence of a given concentration of
allosteric antagonist [B], is given by eq. 5. Whereas a competitive
ligand will decrease the bound ligand down to nonspecific binding
levels, the maximal inhibition produced by an allosteric antagonist
will depend upon the magnitude of the cooperativity factor,
. The
maximal scale of inhibition of specific radioligand binding is equal to
|
(7)
|
It can be seen from this expression that the maximum degree
of antagonism of any given bound concentration of radioligand A is a
function of
. This is because the inhibition of a radioligand by
either an allosteric ligand or a competitive (i.e., orthosteric) ligand
follows the receptor occupancy of a single concentration of radioligand
as the saturation binding curve to that ligand is shifted to the right
by the nonradioactive ligand. This is shown in Fig.
8A, where the saturation curve to a
radioligand is shifted to the right by a high concentration of
allosteric ligand with
= 0.2. This results in a maximal shift
to the right of 5-fold by the allosteric ligand. If receptor occupancy
is viewed at a fixed radioligand concentration of approximately
1.5 × KA then the inhibition
curve shown in the right panel of Fig. 8A is observed. It can be seen
that the strength of the allosteric blockade (magnitude of
), thus,
determines the amount of maximal inhibition of the binding curve (see
eq. 7.

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Fig. 8.
Inhibition of radioligand binding by allosteric
antagonists. A, Saturation binding curve for a radioligand shifted to
the right by a maximally effective concentration of allosteric
antagonist with = 0.2. The curve to the left of the panel
shows the displacement of a defined concentration of radioligand by a
range of concentrations of allosteric antagonist. Note how the
displacement does not reduce the bound counts to nonspecific binding
levels. B, same as A but for a more powerful allosteric antagonist
( = 0.01). In this case, the displacement counts are reduced to
nonspecific binding levels. C, the increase in the IC50 for
antagonism (as a ratio of the KB) as a
function of the amount of radioligand in the assay (as a ratio of
KA). A linear relationship is predicted for
a competitive ligand. For allosteric ligands, hyperbolic curves are
generated.
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The expected behavior of allosteric antagonists in inhibition
binding assays outlined in the preceding paragraph gives rise to two
important considerations. The first is that a curve where the
radioactivity is not inhibited completely to nonspecific binding levels
may denote an allosteric, as opposed to a competitive, antagonism. Such
an effect may reflect the inability of the antagonist to produce large
enough shifts to the right of the saturation curve to bring the signal
completely to nonspecific binding levels. For example, the small
molecule antagonist of CCR3 chemokine receptors UCB35625 is a full
antagonist of chemokine-induced chemotaxis but produces only a 15%
maxmimal displacement of radioactive chemokine binding (Sabroe et al.,
2000
); this antagonist may be acting through an allosteric mechanism.
The second consideration is that the maximal inhibition of specific
radioligand binding attainable by an allosteric antagonist will depend
on the concentration of radioligand. Thus, it can be seen that if a
radioligand concentration was chosen to be 0.01 × KA, then the antagonist shown in Fig. 8A would have taken the binding to near nonspecific binding levels. Also, if the negative cooperativity is high, for example
is less
than 0.1, then the dependence of the maximal displacement window on
becomes moot because the shift produced by the allosteric antagonist
would bring the binding down to nonspecific binding levels as well (see
Fig. 8B). Hence, whereas a maximal displacement above nonspecific
binding levels can denote allosteric antagonism, a complete
displacement to nonspecific binding levels does not necessarily
implicate competitive antagonism and preclude allosteric blockade.
Another potential method to detect allosteric, as opposed to
competitive, antagonism in radioligand binding studies is to examine
the relationship between the amount of radioligand present in the assay
(denoted [A*]) and the amount of antagonist required to reduce the
specific binding produced by that radioligand to 50% of
B0. For competitive antagonists, this can be
calculated from the Gaddum (1936)
equation for competitive antagonism.
Thus, the receptor occupancy for a radioligand A* in the presence of a
competitive antagonist [B] is given by
|
(8)
|
where KA and
KB are the equilibrium dissociation
constants of the radioligand and competitive antagonist, respectively.
From this equation, the concentration of antagonist required to reduce a defined level of specific radioligand binding to 50%
B0 can be calculated as
|
(9)
|
According to this relationship, therefore, the concentration of
antagonist (expressed as a multiple of the
KB) is linearly related to the
concentration of radioligand present in the assay. This relationship,
as defined for enzymes, is commonly referred to as the Cheng-Prusoff
(1973)
relationship. A corresponding relationship for allosteric
ligands can be also be derived
|
(10)
|
where IC50 denotes the concentration of
allosteric antagonist producing 50% inhibition of specific radioligand
binding. It can be seen from this equation that if the concentration of
radioligand is low (i.e., if [A]
KA), then the
IC50 will be approximately equal to the
KB (see also Ehlert, 1988
). It can
also be seen that this is not a linear relationship but rather a
hyperbolic one. Thus, one way to potentially differentiate competitive
and allosteric antagonism in radioligand binding assays is to compare
the IC50 for blockade as a function of
radioligand concentration. Figure 8C shows such a relationship for a
competitive antagonist (linear dotted line) and a series of allosteric
antagonists with
values ranging from 0.1 to 0.003. It can be seen
that the pronounced curvature of the relationship for the allosteric
ligands differentiates them from the competitive ligand.
The variability of the extent and the direction of allosteric
modulation of radioligand binding can be practically demonstrated by
the effects of two different allosteric modulators of
M2 muscarinic acetylcholine receptors on the same
radioligand in the same membrane preparation. Figure
9A shows the interaction between the
muscarinic receptor antagonist
[3H]N-methylscopolamine and the
allosteric modulator gallamine, which is characterized by negative
cooperativity. It can be seen that the use of a
sub-KA concentration of radioligand
(which is quite common for these types of screening assays) results in
an apparently complete inhibition of specific radioligand binding. Increasing the concentration of the radioligand to 10 times its KA, however, unmasks the limited
ability of the negative allosteric modulator to inhibit specific
binding. In contrast, the interaction between the same radioligand and
the modulator, alcuronium, at the same receptor, is characterized by a
marked positive cooperativity, clearly deviating from the predictions
of simple competition (Fig. 9B). Findings such as these highlight
another important aspect of allosteric interactions, that is, they are
unique for each and every pair of interacting ligands involved. A
positive allosteric modulator of one particular orthosteric ligand is
not necessarily a positive modulator of another orthosteric ligand.
Table 6 demonstrates this with examples
of the interaction between alcuronium and a variety of orthosteric
ligands at the M2 muscarinic acetylcholine receptor.

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Fig. 9.
Effect of the allosteric modulators gallamine and
alcuronium on the binding of the orthosteric antagonist,
[3H]N-methylscopolamine, at M2
muscarinic acetylcholine receptors in guinea pig atrial membranes. A,
negative cooperativity between gallamine and two different
concentrations of the radioligand: 0.1 nM ( ; 0.5 × KA) and 2 nM ( ; 10 × KA). B, positive cooperativity between
alcuronium and 0.1 nM radioligand. Also shown on the figure are the
best estimates based on fitting the data to the allosteric model (eq.
5). Data taken from Christopoulos (2000a) .
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TABLE 6
Cooperativity factors for the allosteric modulator, alcuronium, at the
M2 muscarinic acetylcholine receptor
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The preceding discussion suggests important practical considerations
when screening for allosteric ligands. For instance, assays can
generally use low concentrations of radioligand
(<KA) in the first instance, but
these may then need to be supplemented with assays using a high
radioligand concentration to demonstrate the limiting effects of
cooperative interactions on the pattern of the resulting binding curve.
Second, because the allosteric interaction is unique for each drug
pair, it is logical that screening programs for allosteric ligands
should include, at the very least, the endogenous hormone or
neurotransmitter for the receptor of interest as part of the assay. Yet
another important factor in radioligand binding experiments is the
actual choice of radioligand. Agonist radioligands rely on the ability
of the receptor to couple to G proteins and would be most useful in
detecting allosteric modulators that are able to modify receptor-G
protein coupling, whereas radiolabeled antagonists may not. In general,
the design of radioligand binding assays to detect allosteric
modulators should, where possible, use the endogenous orthosteric
ligand for the receptor of interest as the radiolabel. If this is not possible, then the radioligand used may still detect an allosteric interaction, but the experimenter should remain aware that the magnitude and direction of that interaction can be quite different from
the situation with the endogenous ligand probe.
Sometimes, radioligand binding assays may reveal unusual behavior that
may not seem compatible with the simple allosteric TCM. Figure
10A shows the interaction between
methylisobutylamiloride (MIA) and [3H]spiperone
at the dopamine D2 receptor, which is
characterized by a very steep inhibition curve (Hill slope ~ 2),
and Fig. 10B shows the interaction between PD 81,723 and the agonist
[3H]CHA at the adenosine
A1 receptor, which is characterized by a
bell-shaped curve. Although each of these interactions involves allosteric mechanisms, it has been suggested that MIA and PD 81,723 can
interact with both orthosteric and allosteric sites at the D2 and A1 receptors,
respectively (Bruns and Fergus, 1990
; Hoare and Strange, 1996
). This
leads to an additional level of complexity in the observed binding
profiles. Specifically, if a modulator is able to compete with the
radioligand at the orthosteric site and modulate the radioligand's
binding (and its own) through an additional allosteric mechanism, then
the curves illustrated in Fig. 10, A and B, may be observed. The
relevant model in this instance is shown in Scheme
2, where the parameters are as defined
previously except that subscript 1 refers to binding of ligand B to the
orthosteric site, subscript 2 refers to binding of B to the allosteric
site, and the cooperativity factor,
, denotes the allosteric
interaction between the two molecules of B on the receptor. From this
model, the following equation can be derived describing the fractional receptor occupancy by A at equilibrium.
|
(11)
|
where KA,
KB1, and
KB2 denote equilibrium dissociation
constants. eq. 11 was used to simulate the binding curves shown in Fig.
10, C and D. In Fig. 10C, the interaction between the two molecules of
B is positively cooperative (
> 1), whereas the interaction between B and A is negatively cooperative (
< 1). This yields a very steep inhibition curve (Hill slope of approximately 2), as was
observed experimentally for the interaction between MIA and
[3H]spiperone at the D2
receptor. In Fig. 10D, the interaction between A and B is positively
cooperative (
> 1), whereas the interaction between the two
molecules of B is neutrally cooperative (
= 1), yielding the
observed bell-shaped curve.

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Fig. 10.
Mixed modes of allosteric/competitive
interactions. A, inhibition of [3H]spiperone binding by
MIA at dopamine D2 receptors in membranes from Ltk59 cells.
The dotted line corresponds to a curve fit based on the simple
allosteric ternary complex model (eq. 5) or to a simple model of
competitive interaction. The solid line denotes the fit of the data to
a model allowing for the allosteric modulator to recognize both
orthosteric and allosteric sites. Data taken from Hoare and Strange
(1996) . B, enhancement and inhibition of the binding of the agonist,
[3H]N6-cyclohexyladenosine
([3H]CHA) by the modulator PD 81,723 at the
A1 adenosine receptor in rat brain membranes. Data taken
from Bruns and Fergus (1990) . C, simulations based on a model of
concomitant orthosteric and allosteric binding by an allosteric
modulator (eq. 11). The following parameters were used
pKA = 4.6, pKB1 = pKB2 = 4.7, = 0.25, = 27, and log[A] = 5. D, simulations based on the same model, but
with the following parameters pKA = 9, pKB1 = pKB2 = 5, = 7, = 1, and log[A] = 9.
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3. Nonequilibrium (Kinetic) Studies.
The study of allosteric
modulator effects on radioligand kinetic binding properties probably
represents the most sensitive direct measurement of allosteric
interactions at GPCRs. The rates of association and dissociation of a
ligand from its binding site (be it orthosteric or allosteric) on a
receptor are exponential processes. Importantly, the actual rate
constants that govern the ligand association
(kon) and dissociation
(koff) can be determined experimentally from kinetic experiments that measure radioligand binding as a function of time, and are very sensitive indicators of the
interaction of the ligand with a particular conformation of receptor.
Hence, a change in receptor conformation induced by an allosteric agent
would be expected to result in an alteration of orthosteric ligand
association and/or dissociation characteristics. It is this alteration
in orthosteric ligand kinetics that underlies the effects of allosteric
modulators on orthosteric ligand affinity at equilibrium.
From the simple TCM, the association constant,
Ka, can be re-defined according to its
respective kinetic rate constants. That is,
Ka = konA/koffA,
where konA equals the association rate
constant and koffA equals the
dissociation rate constant of ligand A. In the simplest case (and, thus
far, the most commonly observed experimental situation), the kinetics
of the modulator are more rapid than those of the orthosteric ligand.
Under these conditions, the rate of dissociation of an orthosteric
ligand in the presence of an allosteric modulator may be derived as
follows (Lazareno and Birdsall, 1995
; Christopoulos, 2000b
)
|
(12)
|
where
|
(13)
|
In these two equations,
At denotes the
receptor occupancy by [A] at time t,
A
denotes the receptor occupancy by [A] at equilibrium,
koffobs denotes the experimentally
observed dissociation rate constant for [A], and
koffAB denotes the dissociation rate constant for [A] from the ternary complex [ARB]. The remaining parameters are as defined previously. The association of an orthosteric ligand under similar conditions is derived as
|
(14)
|
where
|
(15)
|
The parameter, konobs, denotes
the apparent association rate constant of orthosteric ligand in the
presence of allosteric modulator. KApp
is defined in eq. 6.
Allosteric modulators may increase or decrease the association and/or
dissociation characteristics of the orthosteric ligand at its binding
site on the receptor. Positive allosteric modulation can, thus, be
manifested through an overall enhancement of orthosteric ligand
association rate and/or a reduction in dissociation rate. To date,
however, an enhancement of orthosteric ligand association rate has not
been conclusively demonstrated for any allosteric modulators of GPCRs,
although a recent study by Molderings et al. (2000)
has suggested that
agmatine is able to enhance the association rate and retard the
dissociation rate of [3H]clonidine at the
2-adrenoceptor through an allosteric
mechanism, thus, enhancing radioligand affinity at equilibrium. For
negative allosteric modulators, their equilibrium effects on
orthosteric ligand affinity can generally be mediated via slowing
orthosteric ligand association and/or enhancing dissociation.
Unfortunately, the former mechanism is experimentally difficult to
distinguish from simple competitive inhibition because competition will
also lead to an apparent reduction in the observed orthosteric ligand association rate. In contrast, dissociation kinetic experiments theoretically monitor only the disintegration characteristics of a
preformed orthosteric ligand-receptor complex, and any changes in the
observed dissociation rate are much more unambiguously attributed to
allosteric effects. These latter types of experiments, therefore,
represent the most common type of radioligand kinetic assay used to
detect and quantify allosterism at GPCRs.
Figure 11A shows the effects of the
allosteric modulator
5-(N-ethyl-N-isopropyl)-amiloride (EPA) on the
dissociation of [3H]yohimbine from the human
2A-adrenoceptor. It can be seen that increasing the concentration of EPA results in a progressive increase in the dissociation of the orthosteric radioligand as the occupancy of
the allosteric site by EPA becomes greater. This effect explains the
reduction in [3H]yohimbine affinity by EPA
observed in equilibrium binding assays. In contrast, the allosteric
modulator, PD 117,975 slows the dissociation rate of the agonist
[3H]CHA from adenosine A1
receptors (Fig. 11B), thus, accounting for its positively cooperative
effects on agonist radioligand affinity at equilibrium. An interesting
situation can arise, however, with certain allosteric modulators.
Figure 12 illustrates the effects of
the modulator, tetra-W84, on the apparent association and dissociation rates of the orthosteric antagonist
[3H]N-methylscopolamine from the
cardiac M2 muscarinic acetylcholine receptor. It
can be seen that the concentration-effect curves for the ability of the
modulator to slow both kinetic properties of the radioligand are very
close together. The consequence of this dual effect is seen in the
curve of the interaction between tetra-W84 and
[3H]N-methylscopolamine determined
separately in an equilibrium binding assay (open circles). Under
equilibrium binding conditions, it seems that tetra-W84 has no effect
on binding. In fact, this is an example of a neutrally cooperative
interaction (
= 1). Its allosteric nature is quite convincingly
revealed in the radioligand kinetic assays, whereas it can be missed in
equilibrium binding assays. Finally, it should also be noted that
allosteric modulation of orthosteric ligand equilibrium affinity may be
brought about by changes in both association and dissociation rates of
the orthosteric ligand in the same direction (e.g., slowing or
enhancing), provided that the magnitude of the change is not uniform
for both rate constants. For example, most negative allosteric
modulators of muscarinic acetylcholine receptors are known to retard
the dissociation rate of orthosteric radioligands while still reducing
equilibrium binding affinity (Ellis, 1997
). This can most easily be
reconciled in a mechanism where orthosteric ligand association is also
slowed by the modulator to a greater extent than dissociation.

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Fig. 11.
Effects of allosteric modulators on orthosteric
ligand dissociation kinetics. A, enhancement of the dissociation rate
of [3H]yohimbine from the human 2A
receptor expressed in CHO cell membranes by the modulator EPA. Data
taken from Leppik et al. (1998) . B, slowing of the dissociation rate of
[3H]CHA from the adenosine A1 receptor in rat
brain membranes by the modulator PD 117,975. Data taken from Bruns and
Fergus (1990) .
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Fig. 12.
Neutral cooperativity between
[3H]N-methylscopolamine and the modulator,
Tetra-W84 at the M2 muscarinic acetylcholine receptor.
Increasing concentrations of modulator are able to decrease the rate of
radioligand association and dissociation, thus, revealing the
allosteric nature of the interaction (solid symbols). However, because
the kinetics of the radioligand are influenced over similar
concentration ranges and to similar extents, equilibrium binding
studies show minimal effects on levels of radioligand binding (open
circles). Data taken from Kostenis and Mohr (1996) .
|
|
The quite profound effects that allosteric modulators can exert on
orthosteric ligand kinetics can also lead to pitfalls in data analysis
and interpretation. The most insidious effect is seen in binding
experiments that are ostensibly conducted under standard
"equilibrium" conditions but are, in fact, not at equilibrium due
to the marked effects of the modulator on orthosteric ligand association and dissociation. This is most commonly observed with positive and neutrally cooperative ligands because their kinetic effects on the approach of the system to equilibrium occur over most
concentrations of modulator that are tested, thus, increasing the
likelihood of equilibrium not being achieved over the time course of a
typical experiment. The consequences of this kinetic artifact can be
modeled using eq. 14 and are shown in Fig.
13. Even after 64 h, a positive
allosteric modulator that is able to completely inhibit the
dissociation of an orthosteric ligand from the ARB complex
(koffAB = 0) yields a bell-shaped
binding curve. The effects of high concentrations of the modulator on
the kinetics of the orthosteric ligand are so marked that equilibrium
has not been achieved in the presence of the high modulator
concentrations. Only after 2048 h (approximately 85 days) is
equilibrium achieved. Experimentally, the easiest way of circumventing
this problem is to prelabel the receptors with orthosteric radioligand
before exposure to the allosteric agent (see Lazareno and Birdsall,
1995
; Christopoulos, 2000b
). Alternatively, the use of nonequilibrium kinetic assays to directly quantify the interaction may be preferred (Lazareno and Birdsall, 1995
). Parenthetically, this kinetic effect is
reminiscent of the binding profile that has been seen in equilibrium binding assays in some receptor systems (e.g., Fig. 10B). Although that
binding profile may be due to mixed allosteric/competitive modes of
interaction, the investigator must first rule out any kinetic artifacts
of the allosteric modulator on the approach of the orthosteric
radioligand to equilibrium.

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Fig. 13.
Allosteric modulation under nonequilibrium
conditions. Orthosteric radioligand binding was simulated for a
positive allosteric modulator ( = 10) using eqs. 12 through 15 and the following parameters: pKA = pKB = 7, koffA = 0.5 min 1,
koffAB = 0 min 1, and
log[A] = 7. The curves represent the concentration-occupancy
relationship for the interaction at the different times (hours) shown
in the figure. It is evident that allosteric modulators may slow the
kinetics of the system to such an extent that equilibrium is
unachievable during the time course of the experiment, thus, yielding
complex binding curves.
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|
B. Assays of Receptor Function
Although radioligand binding assays provide the most direct
means for visualizing and quantifying allosteric interactions at GPCRs,
functional assays of receptor activity can also be used. In fact, the
earliest demonstrations of receptor allosterism relied on these types
of assays. According to the simple TCM (Fig. 2), an allosteric
modulator that affects orthosteric ligand affinity but not efficacy
will displace the concentration-response curves of an orthosteric
agonist in a parallel fashion with no change in basal response, maximal
tissue response, or curve shape and slope. In the case of positive
cooperativity, the ascription of an allosteric mechanism to the
experimental data would be relatively straightforward, because the
agonist curves would be displaced to the left of the control agonist
curve. However, as is the case for radioligand binding assays, negative
allosteric modulation may be misinterpreted as competitive antagonism,
particularly for modulators with high degrees of negative
cooperativity. An important key to the successful detection and
quantification of negative allosteric modulation is to investigate the
effects of as large a range of antagonist concentrations as is
practicable. The classic approach to quantifying antagonism using this
type of protocol is based on Schild analysis (Arunlakshana and Schild, 1959
) and its variants.
1. Schild Analysis.
Competitive antagonism follows a
strict adherence to the model defined by Gaddum (1936
, 1957
) and
quantified by Arunlakshana and Schild (1959)
. Thus, the effect of a
competitive antagonist on the concetration-response curve to an agonist
is strictly defined by the term 1 + [B]/KB, where [B] is the
concentration of antagonist and KB the
equilibrium dissociation constant of the receptor-antagonist complex.
Under these circumstances, the dextral displacement produced (expressed
as "CR", which is the equiactive concentration ratio of agonist
concentrations measured in the presence and absence of antagonist) is
related to [B] and KB by the Schild
equation (Arunlakshana and Schild, 1959
).
|
(16)
|
The slope and linearity of the Schild regression become very
useful criteria for the definition of competitive antagonism. Deviations from linearity or from a line with slope of unity can occur
as a result of a number of nonequilibrium situations including agonist
uptake processes, receptor heterogeneity, and temporal disequilibrium
(Kenakin, 1982
). However, one notable deviation also can occur with
allosteric antagonism. Specifically, an allosteric antagonist can
produce a Schild regression, which, at some point along the
concentration axis, deviates from linearity or has a slope of less than
unity. This would occur because of the saturable nature of the
antagonism (i.e., the magnitude of
). Thus, allosteric antagonists
will shift the agonist concentration-response curve to the right
according to a limit defined by (1 + [B]/KB)/(1 +
[B]/KB). These relationships
become very apparent when plotted in the form of Schild regressions,
with the maximal concentration-ratio attainable being determined by the
cooperativity factor,
. Figure 14A
shows the antagonism by gallamine of the negative inotropic effects of
acetylcholine at M2 muscarinic receptors in the
guinea pig electrically stimulated left atrium. It can be seen that as the concentration of modulator is increased, the dextral displacement of the acetylcholine curves approaches a limit. The Schild regression of the same data are shown in Fig. 14B, where the deviation from a
straight line is clearly evident. In fact, a linear regression through
the data points yields an unsatisfactory fit with a slope factor of
0.65. The appropriate fit of the allosteric model to the data can be
obtained with the following equation (Ehlert, 1988
).
|
(17)
|
As shown in Fig. 14B, eq. 17 allows an estimate to be obtained of
the cooperativity factor and the dissociation constant of the modulator
for the allosteric site.

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Fig. 14.
Schild analysis of allosteric interactions. A,
effects of acetylcholine (ACh) on the electrically evoked contractions
of the guinea pig left atrium in the absence ( ) or presence of the
allosteric modulator gallamine at the following concentrations: 10 µM
( ), 30 µM ( ), 100 µM ( ), 300 µM ( ), and 500 µM
( ). All experiments were conducted in the presence of the
cholinesterase inhibitor, diisopropylfluorophosphate. B, Schild plot of
the data shown in A. The solid line (slope = 1) denotes the
behavior expected for a competitive antagonist, whereas the dashed line
shows the best fit linear regression (and associated slope factor)
through the points. The curve through the points and associated
parameter estimates represent the fit of the allosteric model (eq. 17).
Data taken from Christopoulos (2000a) . C, agonist-dependence of
functional allosterism. Schild regressions for gallamine as an
antagonist of muscarinic agonist responses in rat trachea. Data taken
from Kenakin and Boselli (1989) .
|
|
Another prediction of the allosteric model directly related to the
dependence of allosterism on the choice of orthosteric ligand (e.g.,
agonist) is the phenomenon of agonist-specific degrees of antagonism.
This trait is also demonstrated by gallamine (Clark and Mitchelson,
1976
; Kenakin and Boselli, 1989
). Although gallamine produces dextral
displacement of muscarinic agonist concentration-response curves in rat
trachea, the resulting regressions are agonist-dependent (Fig. 14C),
and some deviate from a slope of unity (Kenakin and Boselli, 1989
).
Agonist-dependent Schild regressions can also be obtained in systems
with mixtures of receptors (Kenakin, 1982
, 1992
), but in those
instances, the pattern is a set of parallel displaced Schild
regressions with differing intercepts (pA2
values). In contrast, allosteric antagonism would show the pattern in
Fig. 14C, namely, little change in intercept with deviations occurring at higher concentration ratios (as saturation of the allosteric sites occurs).
2. Additivity of Concentration Ratios.
As discussed
previously, competitive antagonism defines a formal relationship
between the concentration of the antagonist and its expected effects on
agonist concentration-response curves, i.e., a parallel dextral
displacement with no diminution of curve maxima, and a magnitude of
curve shift defined by the Schild equation. The addition of a second
antagonist to a mixture of agonist and antagonist would simply produce
re-equilibration of the three molecules with their respective
contributions to receptor activity being defined by the ratio of their
concentration and equilibrium dissociation constants (i.e.,
[B1]/KB1 + [B2]/KB2 + [B3]/KB3
... etc.). Thus, the measured effect of adding a second antagonist of known receptor potency into a system can be used to detect possible
deviation from true competitivity by the two antagonists in terms of
additive concentration ratios (Paton and Rang, 1965
). Specifically, if
two antagonists, B and C, were combined and tested against an agonist,
then their combined concentration-ratio (CRBC) would be given as follows for a competitive interaction.
|
(18)
|
where CRB and CRC
denote the concentration ratios obtained for the agonist in the absence
or presence of each respective antagonist alone. In contrast, if the
antagonists were not mediating their inhibitory effects by a simple
competitive mechanism through the orthosteric binding site, then
CRBC would be a multiplicative, rather than
additive, function of CRB and
CRC (Paton and Rang, 1965
). For the specific case
of the allosteric TCM, the actual expression for the interaction
between an agonist, a competitive antagonist (B) and an allosteric
modulator (C) is given as (Christopoulos and Mitchelson, 1994
).
|
(19)
|
where
' denotes the cooperativity factor for the interaction
between the antagonist, B, and modulator, C. A direct consequence of
the dependence of allosteric modulation on the ligand occupying the
orthosteric site is that markedly greater-than-additive or less-than-additive combination concentration ratios may be observed, clearly deviating from the additivity predicted by simple competition. Figure 15A illustrates this with an
example of the interaction between the muscarinic agonist carbachol,
the orthosteric antagonist N-methylscopolamine, and the
allosteric modulator alcuronium. The dashed line represents the
expected shift of the carbachol curve in the presence of both
N-methylscopolamine and alcuronium if the interaction
between all ligands was competitive. This predicted shift was
calculated from the individual shifts produced by either N-methylscoplamine or alcuronium alone. However, the actual
observed shift lies much farther to the right of the predicted shift,
an example of supra-additive antagonism. This finding is consistent with the known ability of alcuronium to allosterically potentiate the
binding of N-methylscopolamine, while simultaneously
reducing the binding of carbachol, thus, enhancing the overall
antagonism observed.

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Fig. 15.
Additivity of concentration-ratio analysis. A,
M2 muscarinic acetylcholine receptor-mediated effect of
carbachol on the electrically evoked contractions of the guinea pig
left atrium in the absence ( ) or presence of the antagonist, 3 nM
N-methylscopolamine, alone ( ) or combined with the
allosteric modulator, 10 µM alcuronium ( ). The dashed line shows
the expected location of the agonist curve in the presence of both
antagonists if all ligands were interacting in a competitive manner at
the orthosteric site, based on eq. 18. B, effect of carbachol in the
absence ( ) or presence ( ) of the combination of the two
allosteric modulators, 10 µM alcuronium and 10 µM heptane
1,7-bis-(dimethyl-3'-pthalimidopropyl) ammonium bromide. The dashed
line shows the expected location of the agonist curve in the presence
of both antagonists if the inhibitors were interacting in a competitive
manner at a common allosteric site, based on eq. 20. Data taken from
Lanzafame et al. (1997) .
|
|
Concentration-ratio analysis is not only restricted to the combination
of orthosteric antagonists with allosteric modulators. The combination
of two allosteric modulators against an agonist can also be studied
using this approach. This is particularly useful in demonstrating
whether two different allosteric modulators interact with the same
allosteric site on a GPCR. In this instance, the appropriate equation
is (Lanzafame et al., 1997
).
|
(20)
|
where B and C denote two different allosteric modulators, and
and
denote their respective cooperativity factors for interaction with the agonist. Figure 15B illustrates the interaction between carbachol and the two modulators, alcuronium and heptane
1,7-bis-(dimethyl-3'-pthalimidopropyl) ammonium bromide, at atrial
muscarinic receptors. The excellent agreement between the observed
carbachol curve in the presence of both modulators and the predicted
curve based on eq. 20 is in accordance with both modulators interacting
with the same allosteric site on the M2
muscarinic receptor.
3. Pharmacological Resultant Analysis.
Although the
additivity-of-concentration-ratio approach described above is obviously
useful in detecting allosterism, a potentially significant shortcoming
of this procedure is the required tacit assumption that neither
antagonist has a secondary property that modifies the system
sensitivity. A powerful tool to measure the additive effects of
antagonists that does not have this handicap is pharmacological
"resultant analysis" (Black et al., 1986
). This technique compares
the effect of a "test" antagonist on the observed antagonism
produced by a "reference" antagonist. The strength of this method
lies in the fact that the test antagonist is added to the system from
the very start of the experiment (even present for the control curve),
and, thus, any secondary effects of this antagonist are negated by the
fact that these effects are present for all measurements of sensitivity
of the system to the reference antagonist and, thus, cancel. Several
Schild regressions for the reference antagonist are obtained in the
presence of different concentrations of the test antagonist and then
the displacements of these Schild plots, along the reference antagonist concentration axis, are used to construct resultant plots. These have
strictly defined properties for two competitive antagonists, therefore,
deviations from these requirements may indicate allosterism in the
actions of the test antagonist.
The response (E') to an agonist in the combined presence of a test
antagonist [C] and reference antagonist [B] is given by
|
(21)
|
where [A] refers to the concentration of agonist in the absence
of reference antagonist, [A'] refers to the concentration of agonist
in the presence of reference antagonist, [B'] refers to the
concentration of reference antagonist in the presence of test
antagonist ([C]), and KA,
KB, and
KC refer to the respective equilibrium
dissociation constants of the receptor and molecules A, B, and C. The
response in the absence of reference antagonist (denoted as E) is given
by eq. 21 with [C] = 0. Comparison of equiactive concentrations
(E = E') with the reference antagonist present and not present is
given by
|
(22)
|
A ratio, r, can be defined for equiactive agonist doses
in the absence of test antagonist by setting [C] = 0 in eq. 22.
Comparing equal levels of antagonism (in essence measuring the dextral
displacement of Schild regressions along the test antagonist axis at a
constant level of antagonism) leads to the expression of equiactive
(from the point of view of equal levels of antagonism) concentrations of the reference antagonist in the absence ([B]) and presence ([B']) of test antagonist.
|
(23)
|
The logarithmic metameter of eq. 23 is
|
(24)
|
Thus, a plot of log (
1) as a function of concentration
of test antagonist should be linear and have a slope of unity with an
intercept equal to the equilibrium dissociation constant of the test
antagonist. This latter parameter can be measured independently; thus,
there are three observable tests (slope, linearity, and intercept) for
competitivity in this procedure, including one that can be
independently verified, consistent with the known allosteric nature of
gallamine's mechanism of action.
Although resultant analysis, as described above, is a powerful
technique for detecting allosterism, it is unable to quantify the
allosteric interaction because, in its original form, it is not
formulated based on an allosteric model. However, the theoretical underpinnings of the procedure can readily be modified to incorporate an allosteric model (Christopoulos and Mitchelson, 1997
), leading to
the following variant of eq. 24.
|
(25)
|
Thus, the methodology behind pharmacological resultant analysis
allows for both the detection of allosteric interactions between two
antagonists in a functional tissue assay and for the derivation of
quantitative parameters describing the interaction.
C. Potential Pitfalls
Because allosteric interactions are noncompetitive in nature, they
can be manifested in a variety of ways and are usually first detected
when the researcher notes a deviation of their experimental data from
the expectations of simple (competitive) mass-action kinetics. However,
similar findings may also be made due to other experimental artifacts,
such as inappropriate drug equilibration times, drug solubility
problems, or perhaps too concentrated a receptor preparation (in
binding assays). Thus, it is important first to rule out other reasons
for "anomalous" data before studies are initiated that specifically
aim to examine potential allosteric properties of ligands under
investigation. Figure 16 illustrates a
flow-chart strategy for assessing potential allosteric modulators for
artifactual properties before attempting quantification of allosterism.
In addition, there are a number of general considerations that pertain
to all types of radioligand binding assays that must first be
considered.

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Fig. 16.
Flow chart strategy for dealing with compounds
identified as potential allosteric modulators. Adapted from
Christopoulos (2000b) .
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Due to the dependence of allosteric phenomena on the nature of the
ligand occupying the orthosteric site, radioligand binding assays can
yield quite different results even if the same modulator is studied at
the same receptor. As discussed previously, factors such as radioligand
choice, concentration, and equilibration time can have profound effects
on the detection, or lack thereof, of allosteric phenomena. Even the
concentration of membrane-bound receptors can have a significant impact
on the detection of allosterism in binding assays, particularly when
dissociation kinetic assays are used. In particular, some discussion is
warranted about the most significant kind of experimental artifact in
kinetic assays that is related to receptor concentration, namely the
phenomenon of binding at the "collisional limit".
When the density of receptors exceeds 5,000 to 10,000 sites per cell,
the probability of a dissociated molecule of ligand diffusing away into
the bulk medium according to simple bimolecular mass-action kinetics is
significantly decreased to the point that re-binding to adjacent
receptors occurs. Under these circumstances, binding is considered to
have reached the collisional limit (Abbott and Nelsestuen, 1988
;
Kenakin, 1997c
). As a consequence, the apparent dissociation rate
constant of a ligand that is examined under conditions of
collision-limited binding will seem much smaller than if the
dissociation were monitored when receptor density is much lower. Most
important for the study of allosteric phenomena, collision-limited
dissociation will seem different if dissociation is promoted by a large
(>100-fold) dilution of radioligand-bound receptor preparation in
buffer as opposed to isotopic dilution, that is, the addition of a
large excess of unlabeled orthosteric competitor ligand. In the former
instance, the dissociation rate will seem slower than in the latter,
because the presence of a vast excess of unlabeled orthosteric ligand
used for isotopic dilution will minimize the collision-limited
re-binding of radioligand to the receptor. In general, claims of
cooperative binding based on dissociation kinetic experiments using
highly expressed or concentrated receptor preparations need to be
viewed with caution due to the increased likelihood of
collision-limited binding.
In terms of functional assays of allosterism, some methodological
pitfalls that can mistakenly lead to claims of allosteric phenomena
include inadequate equilibration times, heterogeneous receptor
populations, or nonequilibrium steady states (Kenakin, 1997c
). In
particular, saturable agonist removal mechanisms (e.g., extraneuronal
uptake and enzymatic breakdown) can have profound effects on agonist
potency; a cancellation of these removal processes by a second ligand
can enhance agonist potency and, thus, lead to the (false) claim of
"positive allosteric modulation" by the second drug.
An even more insidious problem in the interpretation of allosteric
phenomena from functional studies relates to the nature of the
conformational change in receptor structure that the allosteric modulator produces. In addition to allosteric effects on orthosteric ligand affinity, the functional quantification of allosteric
interactions using the ternary complex model is prone to the impact of
possible allosteric effects on stimulus-response coupling. In the most obvious cases, this can be manifested as an observed response to the
allosteric modulator in the absence of agonist. However, more subtle
effects may not be detected, such as those where the modulator alters
efficacy to affect the location of the concentration-response curve but
not the maximal attainable agonist response or curve shape
(Christopoulos, 2000a
). As described previously by Ehlert (1988)
, the
maximal concentration-ratio to which an allosteric antagonist's Schild
regression asymptotes is given by the product of the cooperativity
factor,
, and the degree by which the efficacy of the receptor in
the ternary complex, ARB, is altered by the modulator. Unless the
modulator has no effect on signaling efficiency, the value of
may
be erroneously determined from Schild analysis.
 |
IV. Usefulness of Allosteric Modulators |
There are distinct advantages to producing physiological responses
with allosteric ligands. The first is a saturability of effect
(Birdsall et al., 1996
), because once the allosteric sites are
completely occupied, no further allosteric effect is observed. Thus,
there is a "ceiling" to the effects of an allosteric modulator that
is retained irrespective of the dose that is administered therapeutically. This is in contrast to orthosteric effects, which theoretically can be infinite because they depend upon the relative concentrations of the competing species. In the latter circumstance, the duration of effect of competitive drugs is inexorably linked to the
magnitude of effect. For a long duration of effect, a high concentration of the competitive drug must be present to function as a
depot. However, this high concentration will also produce a
commensurately high magnitude of effect. In practice, there must always
be a trade-off between the dose of competitive ligand that can be
administered safely and the desired concentration reaching the receptor
compartment. As a consequence, the desired steady-state of antagonism
may not be achieved at the site of action due to the interplay between
dosage regimen, safety profile, and pharmacokinetics. This codependence
of kinetics and effects, however, is not relevant to allosteric drugs.
In the latter instance, a very high concentration of allosteric ligand
would serve as a depot for binding to the allosteric site but the
maximal effect will be defined by the cooperativity factor for the
ligand, namely the maximal degree of perturbation to the receptor
produced by the allosteric ligand. As a consequence, allosteric
modulators would be generally much safer in overdosage than orthosteric
ligands, and they can be given in quite high doses if necessary to
maintain adequate receptor concentrations without fear of
overstimulating or overinhibiting receptor function.
A second advantage of positive allosteric modulators relates to their
ability to selectively "tune" tissue responses in those organs
where the endogenous agonist exerts its physiological effects (Birdsall
et al., 1996
). Because neurohumoral signaling involves the pulsatile
release of hormones and variations in the activity of nerves that
release neurotransmitters, an allosteric modulator would only be
expected to exert its effects when endogenous agonist is present. For
example, the actions of benzodiazepines, which potentiate the effects
of the endogenous neurotransmitter
-aminobutyric acid, depend only
on the presence of the neurotransmitter for activity (Holzgrabe and
Mohr, 1998
). If nerve activity is reduced, an allosteric modulator
would, thus, have minimal effects, despite its continued presence in
the receptor compartment. This is not possible with orthosteric
agonists, which will continuously modify receptor function as long as
they are present. Thus, allosteric modulators can process the
information gained from the physiology of the system to produce optimum
effect, both spatially and temporally.
The ability of allosteric modulators to tune normal physiological
signaling reflects a fundamental difference between the type of agonism
that can be obtained as a consequence of direct activation of the
orthosteric site on a GPCR as opposed to that produced by an allosteric
enhancer. This difference relates to the attainment of a particular
response level through agonist concentration augmentation as opposed to
agonist concentration-response enhancement and may be illustrated with
an important example. Neurodegenerative disorders, such as Alzheimer's
disease, result in a progressive decline in neuronal function, with one
consequence often being a decline in receptor-neurotransmitter
responsiveness. Standard neurotransmitter replacement therapies target
the orthosteric site; this is a specific example of concentration
augmentation, where the concentration of agonist is increased to
overcome the deficit associated with the neurodegenerative disorder.
However, each individual neuron will have its own stimulus-response
coupling profile that can differ from adjacent neurons, even though
they each express the same receptor type. Thus, the augmentation
approach can result in overstimulation of some neurons and
understimulation of others. In contrast, the addition of an allosteric
modulator that uniformly sensitizes the system by a given factor (i.e.,
value) will result in response enhancement for the same
concentration of endogenous neurotransmitter present at each neuron; no
augmentation is required, and the resulting levels of neurotransmitter
responsiveness can be corrected more closely toward normal levels.
Finally, allosteric ligands offer the possibility of "absolute
subtype selectivity" in receptor action by one (or both) of two
mechanisms. The first relates to the fact that allosteric sites are
necessarily different from orthosteric sites, and it is, thus, quite
conceivable that many receptors may show a greater divergence in
sequence homology in the domains that define the allosteric site in
contrast to the orthosteric site. In essence, the entire receptor
surface (other than the orthosteric binding domain) becomes a potential
binding site for an allosteric modulator. The likelihood of
subtype-selectivity is, therefore, enhanced if drug discovery programs
target receptor allosteric sites. The second mechanism for selectivity
is related to cooperativity rather than affinity. Because the affinity
of a modulator for its binding site is not correlated with the degree
of cooperativity that exists between orthosteric and allosteric sites,
a modulator may display the same affinity for each subtype of a
receptor but still exert a selective effect by having different degrees
of cooperativity at each subtype. Absolute subtype selectivity may,
thus, be obtained where a modulator remains neutrally cooperative at
all receptor subtypes except the one targeted for therapeutic purposes.
Table 7 shows data obtained for the
allosteric modulator, N-chloromethylbrucine, at each of the
five subtypes of muscarinic acetylcholine receptor when tested against
acetylcholine. Although the affinity for the allosteric site at each
receptor subtype was within a 5-fold range of values for
N-chloromethylbrucine, the cooperativity factors were quite
different. This compound was positively cooperative with acetylcholine
at the M3 receptor, negatively cooperative at the
M1 and M2 receptors, and
effectively neutrally cooperative at the M4
receptor. Thus, some degree of absolute selectivity had been achieved.
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TABLE 7
Affinity and cooperativity estimates for the allosteric modulator,
N-chloromethylbrucine, at the five subtypes of muscarinic acetylcholine
receptors
|
|
It may of course be argued that the relative paucity of currently
available allosteric modulators of GPCRs attests to the difficulty in
actually realizing the theoretical advantages outlined in the preceding
paragraphs. However, this paucity can also reflect the fact that most
drug discovery to date has been biased toward orthosteric ligands (see
section I). GPCRs react to an incredibly wide range of endogenous
ligands, from small entities such as acetylcholine (muscarinic
receptors) to large proteins such as stromal derived factor (SDF-CXCR4
chemokine receptors). The likelihood that allosteric conformational
changes mediate the transfer of information between GPCRs and these
ligands is, thus, quite high. In fact, it can also be argued that
allosteric mechanisms are prevalent in the action of many small
"drug-like" molecules (i.e., molecules of a low enough molecular
weight amenable to absorption by the oral route of administration) that
modify protein-protein interactions. For example, M-tropic HIV is known
to form syncytia with cells (to produce subsequent viral infection)
through the interaction of the viral coat protein gp120, the cellular
single transmembrane protein CD4, and the chemokine GPCR CCR5.
Mutational studies have shown that all four extracellular domains of
the CCR5 receptor (blockade of which is not amenable to orthosteric interference by a small single structure), interact with viral coat
protein to promote fusion (Rucker et al., 1996
; Doms and Peiper, 1997
;
Doranz et al., 1997
; Picard et al., 1997
; Lee et al., 1999
).
Single-point mutations of CCR5 have been unsuccessful in preventing
HIV-1 fusion, also indicating the involvement of multiple receptor
domains in HIV-1 binding (Doranz et al., 1997
). Experiments with
chimeric CCR-5 have shown that the regions of the receptor that
interact with the endogenous chemokine agonist MIP-1
(macrophage
inflammatory protein type 1
) differ from those that interact with
HIV-1 gp120 (Blanpain et al., 1999a
, 1999b
; Howard et al., 1999
), yet
it is well known that MIP-1
and other natural and synthetic
chemokines prevent HIV-1 infection in vitro (Cocchi et al., 1995
;
Simmons et al., 1997
; Mack et al., 1998
; Menten et al., 1999
; Nishiyama
et al., 1999
). It also is known that an allosteric enhancer of
chemokine function, trichosanthin, blocks HIV-1 infection through
potentiation of endogenous chemokines (Zhao et al., 1999
). Similarly,
several nonpeptide molecules are known to prevent HIV infection,
including distamycin analogs (Howard et al., 1998a
, 1998b
), bicyclams
(Schols et al., 1997
; Labrosse et al., 1998
), and, notably, TAK 779 (Baba et al., 1999
). From these data it can be concluded that small
molecules can effectively inhibit the interaction of large proteins
through allosteric mechanisms and that this can be a viable avenue for
therapeutic involvement.
The simplest hypothesis to explain how small structures can affect the
binding of such huge protein domains is by the stabilization of
receptor conformations that do not support viral entry. In terms of
free energy, a mechanism of conformational selection (whereby a ligand
selectively binds to a pre-existing receptor conformation thereby
creating a bias toward that conformation) is preferable to a mechanism
of conformational induction (where the ligand actually creates the
conformation through binding). Differential affinities for different
protein conformations will lead to enrichment of the species for which
the ligand has the highest affinity. For example, assume a system of
two receptor conformations R and R* that coexist in the system
according to an isomerization constant denoted L (Fig. 2). For a ligand
with a differentially greater affinity for the R* form, introduction of
[A] into the system will result in an enrichment of the R* form. This
can be shown by examining the amount of R* species (both as R* and AR*)
present in the system in the absence of ligand and in the presence of
ligand. The equilibrium expression for ([R*] + [AR*])/[R], where
[R] is the total receptor concentration given by the conservation
equation [R] = [R] + [AR] + [R*] + [AR*], is
|
(26)
|
In the absence of agonist ([A] = 0),
0 = L/(1 + L), and in the presence of a maximal concentration of ligand
(saturating the receptors; [A]
) 
= (
L)/(1 +
L). The effect of the ligand presence on the ratio of
R to R* is given by

/
0.
|
(27)
|
It can be seen from eq. 27 that if the ligand has an equal
affinity for both the R and R* states (
= 1), then

/
0 will equal
unity and no enrichment of the R* will result from ligand binding.
However, if
> 1, then the presence of the conformationally selective ligand will cause the ratio

/
0 to be >1. For example, if the affinity of the ligand is 10-fold greater for the R*
state, then in a system where 20% of the receptors are spontaneously
in this state (L = 0.1), the saturation of the receptors with this
agonist will increase the amount of R* by a factor of 2 (20-40%). By
this mechanism, a small molecule such as TAK779 could produce a bias in
CCR5 receptor conformation to a conformation that does not support
interaction of CCR5 with gp 120 viral coat protein. This, in turn,
would allow TAK 779 to prevent HIV-1 infection.
An alternative hypothesis can be described in which the binding of the
ligand actually deforms the receptor to cause the formation of a new
receptor conformation (i.e., conformational induction; see Burgen,
1981
). It should be noted that thermodynamically this is a much less
acceptable mechanism than conformational selection where the
conformation R* is already one of a library of conformations known to
the receptor. However, it should also be pointed out that the
enrichment of a rarely formed spontaneously formed conformation through
conformational selection would be virtually indistinguishable as a
mechanism from conformational induction (Kenakin, 1996b
). In any case,
the ever-expanding list of small drug molecules that interfere with
large receptor-protein interactions suggests that clinically relevant
allosteric modulators of GPCRs are viable and likely drug candidates;
positive modulators of the extracellular calcium-sensing GPCR, for
instance, are already in clinical trials (Conigrave et al., 2000a
).
 |
V. Location of the Allosteric Site(s) |
A. Locks and Keys
In contrast to studies on ion channel-linked
receptors, there is a relative paucity of detailed structural
information regarding the amino acid composition of allosteric sites on
various GPCRs. Part of the difficulty relates to the lack of
sufficiently high-resolution crystallographic data of GPCR structure
for molecular modeling purposes, although the recent publication of the
X-ray crystal structure of rhodopsin at 2.8-Å resolution (Palczewski
et al., 2000
) may begin to redress this problem. Another difficulty is related to the fact that GPCRs display a remarkable diversity with
respect to regions of the receptor protein that constitute the primary,
orthosteric domain; there is no common orthosteric "lock" for
agonist "keys" in GPCRs (Schwartz and Rosenkilde, 1996
). Figure
17 illustrates some of the general
modes of ligand binding for the three main classes of the GPCRs.
Endogenous orthosteric agonists can bind within the transmembrane (TM)
regions (e.g., class I bioamine receptors), bind to both TM and
extracellular loop regions (e.g., class I neuropeptide receptors), or
bind almost exclusively to the extracellular N-terminal domain of the
receptor (e.g., class I glycoprotein, class II peptide, and class III
metabotropic receptors). Furthermore, many lipophilic drugs can
approach the receptor via the lipid membrane and, thus, interact with
amino acid regions at the lipid-protein interface, and some can even interact with cytoplasmic regions (vide infra). Hence, structural motifs that comprise the orthosteric site for one type of GPCR ligand
may in fact contribute to the allosteric site of another type of GPCR
ligand. A particularly striking example of this phenomenon is evident
from recent studies on the metabotropic glutamate (mGluR) family of
GPCRs. In contrast to the rhodopsin-like class I receptors, the class
III mGluRs consist of two general topographical domains that can be
distinctly separated in terms of their contributions to ligand binding
and receptor activation; a very large extracellular N-terminal agonist
binding domain and the seven TM-spanning helices involved in receptor
activation and G protein coupling. The noncompetitive mGluR5 receptor antagonist,
2-methyl-6-(phenylethynyl)-pyridine (MPEP), has been shown to have no
effect on agonist binding properties while being able to inhibit
agonist-mediated signaling (Gasparini et al., 1999
; Pagano et al.,
2000
; Spooren et al., 2001
); this is a property shared with another
structurally unrelated mGluR1 antagonist, CPCCOEt
(Litschig et al., 1999
). Interestingly, mutagenesis experiments have
identified crucial amino acids required for MPEP binding in TM regions
III and VII of the mGluR5 receptor, whereas no
extracellular N-terminal regions appear necessary (Pagano et al., 2000
;
Spooren et al., 2001
). Furthermore, these amino acids are also
necessary for the binding of CPCCOEt, and both antagonists effectively
compete with one another. An additional important finding is the fact
that MPEP could reduce the basal activity of constitutively active
receptors mGluR5 receptors (Pagano et al., 2000
),
whereas all known competitive antagonists of these receptors have, to
date, not demonstrated such inverse agonist properties. This raises the
interesting concept that for some receptors, a separation between
neutral antagonism and inverse agonism may be possible by targeting
drugs either to the orthosteric site (neutral mGluR antagonists) or an
allosteric site (inverse mGluR agonists) that mediates receptor
activation.

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Fig. 17.
Modes of orthosteric ligand binding at GPCRs. A,
for many class I GPCRs, such as those for the bioamines, nucleotides,
eicosanoids, and lipid moieties, orthosteric binding occurs
predominantly within the transmembrane regions; the binding and
activation events are inextricably linked. B, class I neuropeptide
receptors use multiple attachment points, involving both transmembrane
and extracellular loop regions. C, protease-activated receptors are
unique to the class I GPCRs in that the endogenous agonist forms part
of the N-terminal region; this "tethered" ligand is exposed after
enzymatic cleavage of the extreme N-terminal part of the tail;
activation then proceeds through interaction with transmembrane
regions. D, class I glycoprotein and class II peptide receptors have
large N termini that constitute the orthosteric binding site, although
activation involves subsequent contact with transmembrane regions. E,
class III metabotropic receptors possess the largest N-terminal tails
out of all GPCRs; orthosteric binding is exclusive to this region,
whereas activation involves the transmembrane domains. It is unlikely
that the ligand makes any contact with the transmembrane regions;
activation is, thus, determined solely by conformational changed across
the protein's surface.
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B. Modulation by Ions
Some allosteric sites on GPCRs may simply comprise a single amino
acid. A critical role for allosteric modulation of GPCR function had
been noted even before the discovery of G proteins in the actions of
certain monovalent cations, especially sodium. Subsequent mutagenesis
studies identified an aspartic acid located in the second TM domain
(TMII) that is highly conserved across GPCRs as being critical for
agonist-mediated receptor function (Fraser et al., 1990
; Horstman et
al., 1990
; Neve et al., 1991
; Strader et al., 1994
). The negatively
charged aspartate acts as a counter-ion for the positively charged
sodium cation; a change in the charge of this single TM amino acid can
exert a global alteration in GPCR conformational state that is
transmitted both to the agonist binding site and the G protein coupling
interface. This is an important example of a single contact point on
the receptor that may not form part of the orthosteric binding site but
can exert an allosteric effect on the binding properties of both
agonists and G proteins.
The allosteric effects of sodium on GPCR binding and coupling reflect
the importance of the conserved TM II aspartic acid in mediating
conformational changes that predominantly affect the activation state
of the receptor; agonists and inverse agonists are particularly
susceptible to modulation by sodium ions when compared with
antagonists. Physiologically, the effects of sodium are representative
of changes in the intracellular accessibility of this ion to the
receptor TM domains (Motulsky and Insel, 1983
; Horstman et al., 1990
).
However, other cations have been suggested to allosterically modulate
GPCR binding properties by interacting with extracellular amino acid
contact points. In a recent study, Schetz and Sibley (1997)
investigated the effects of 18 different cations on the binding
properties of the antagonists [3H]SCH-23390 and
[3H]methylspiperone at the cloned human
D1A or D2L receptors,
respectively. They found that the d-transition metals with a
pseudonoble-gas configuration (e.g., Cd2+,
Zn2+, and Cu2+), and
cations with a 3+ charge
(Fe3+, Al3+,
La3+, and Gd3+), all
inhibited antagonist binding. In particular, zinc is of interest
because it has previously been suggested to serve a role in the central
nervous system in modulating protein-protein and protein-neurotransmitter interactions because it has no redox activity
and no ligand field stabilization energy, is compartmentalized in
certain neuronal synaptic vesicles, and can accumulate extracellularly in the synaptic cleft (Schetz and Sibley, 1997
; Schetz et al., 1999
).
The effects of zinc contrast from those of sodium in that it quite
clearly affects the binding of antagonists that are insensitive to
sodium (Schetz et al., 1999
; Schetz and Sibley, 1997
; 2001
). Figure
18 illustrates the allosteric nature of
the zinc effect on D1 and
D2 receptors, where it can be seen that
increasing concentrations of zinc progressively reduce antagonist
binding affinity with no change in the
Bmax of the radioligand (Fig. 18, A
and C). Furthermore, the zinc-mediated reduction in radioligand
affinity approaches a limit over the concentration ranges of modulator
that were tested, thus, revealing the negatively cooperative nature of
the interaction (Fig. 18, B and D). Importantly, recent studies on the
D4 dopamine receptor have demonstrated that the
effects of sodium, zinc, and the allosteric modulator MIA occur through
distinct attachment points (Schetz and Sibley, 2001
). Specifically,
sodium was able to allosterically modulate the effects of zinc on
antagonist binding, whereas neither zinc nor sodium interacted with
MIA. However, a receptor mutation that modified the binding properties
of MIA had no effect on zinc. Thus, in addition to the TMII aspartic acid known to be critical for the modulatory properties of sodium, these studies with zinc have highlighted the existence of at least two
other loci on dopamine receptors that are also targets for allosteric
modulation.

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Fig. 18.
Saturation binding of [3H]SCH-23390
at the D1A dopamine receptor (A) or
[3H]methylspiperone at the D2 dopamine
receptor (C) in the absence or presence of increasing concentrations of
ZnCl2 (5 µM-50 mM). Data in B and D show the data in A
and C, respectively, converted to Schild-type plots. Note the deviation
from linearity at high zinc concentrations; the maximal dose-ratio is
defined by the cooperativity factor, . Data taken from Schetz and
Sibley (1997) .
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C. Interactions at the Receptor-G Protein Interface
In addition to the allosteric effects of G proteins on orthosteric
ligand binding, there are also examples of ligands that can affect GPCR
binding and coupling properties by interacting with intracellular
receptor regions thought to constitute the interface between the GPCR
and its G protein. For instance, there is a series of polyanionic
compounds that are well known for sharing the common property of
interacting with the predominantly cationic face of the amphipathic
helical regions of the GPCR-G protein interface. In particular, the
polysulfonic acid suramin has been extensively studied in radioligand
binding and signal transduction assays. As well as acting as an
orthosteric antagonist of purinergic receptors (Ralevic and Burnstock,
1998
), suramin has been shown to uncouple opioid receptors (Butler et
al., 1988
),
2- and
2-adrenoceptors (Huang et al., 1990
), and
adenosine A1 and dopamine
D2 receptors (Freissmuth et al., 1996
) from their
cognate G proteins. In addition, these effects are associated with an
inhibition of agonist binding, whereas antagonist binding remains
unaffected (Huang et al., 1990
) or is enhanced (Freissmuth et al.,
1996
). Interestingly, the effects of suramin and a number of its
analogs on orthosteric ligand binding are absent in receptor systems
devoid of G proteins or in systems where the G proteins have been
previously uncoupled, for instance, by treatment of the preparations
with stable GTP analogs (Huang et al., 1990
; Freissmuth et al., 1996
).
The latter findings raise important questions regarding the
intracellular contact sites of such polyanionic modulators of receptor
function. Although an impedance of receptor-G protein coupling by these
ligands is strongly supported by available data, it is still unclear as
to whether the binding of these compounds occurs predominantly on the
receptor, on the G protein, or equally well to both. The lack of
polyanionic modulator effects on the binding properties of uncoupled
receptors suggests that the interaction between these modulators and
the receptor's orthosteric site, if it exists, must be neutrally
cooperative in nature and only manifested indirectly through receptor-G
protein coupling block. Furthermore, it is known that suramin can
actually bind to a distinct site on G protein
-subunits in the
absence of any receptor coupling to modify nucleotide binding
properties (Beindl et al., 1996
). Thus, it is possible that the
allosteric effects of polyanionic modulators such as suramin are
mediated predominantly through their effects on G protein contact points.
D. Extracellular Allosteric Sites
In comparison with compounds that require access to an
intracellular site of action, small molecule allosteric modulators that
can target extracellular binding sites on a GPCR are particularly attractive targets in terms of drug discovery and therapeutics. Studies
of extracellular binding domains of allosteric modulators have
generally exploited receptor mutagenesis and/or the construction of
receptor chimeras. It should be noted, however, that these approaches
are most useful when undertaken in light of experimental evidence
indicating the presence of a distinct allosteric binding site on the
receptor that can be recognized by more than one type of allosteric
modulator. This is not a trivial point, because many ligands have the
ability to nonspecifically perturb receptor conformation, for instance
through effects on the surrounding lipid bilayer, and, thus, be
mistakenly labeled as "allosteric modulators".
To date, investigations on the localization of an extracellular
allosteric site for small molecules and drugs at class I GPCRs have
been predominantly focused on studies of the muscarinic acetylcholine receptor family. This is in no small part due to strong evidence in
favor of a distinct and common allosteric site recognized by more than
one type of modulator. For example, Fig.
19A shows the interaction between the
allosteric modulators gallamine or TMB-8 and the modulator, obidoxime,
at the M2 muscarinic acetylcholine receptor.
Under the experimental conditions of the assay, gallamine allosterically enhances the observed dissociation rate of the orthosteric antagonist, [3H]quinuclidinyl
benzilate ([3H]QNB), TMB-8 reduces
[3H]QNB dissociation, whereas obidoxime has a
minimal effect. However, when the allosteric effects of gallamine or
TMB-8 are monitored in the presence of obidoxime, a
concentration-dependent reversal of these effects is noted.
Importantly, the entire dataset could be fitted to a model assuming
competition between all three modulators for a single allosteric site
(Ellis and Seidenberg, 2000
). Even more direct evidence for the
presence of a specific allosteric site on muscarinic receptors has been
facilitated by the synthesis of the radiolabeled allosteric modulator
[3H]dimethyl-W84 (Tränkle et al., 1998
),
which binds with sufficiently high affinity to the
M2 receptor to allow direct testing of the simple
allosteric ternary complex model. Figure 19B shows estimates of
gallamine's binding affinity for the free and the NMS-occupied M2 receptor determined using either
[3H]NMS as the orthosteric tracer or
[3H]dimethyl-W84 as the allosteric tracer. It
can be seen that in either instance, the affinity estimates for
gallamine were indistinguishable whether determined in direct
competition with the allosteric radioligand or through indirect
interaction with the orthosteric radioligand (Tränkle et al.,
1999
). Additional studies by others using equilibrium binding,
dissociation kinetics, and functional bioassays have also yielded data
with respect to a large range of muscarinic allosteric modulators that
are in accord with interaction at a common site (for review, see
Christopoulos et al., 1998
). It should be noted that similar approaches
have also been used, although to a more limited extent, to demonstrate
the existence of a common allosteric site for multiple modulators on
dopamine D2 receptors (Hoare and Strange, 1996
),
1-adrenoceptors (Leppik et al., 2000
), and
2-adrenoceptors (Leppik et al., 1998
; Leppik
and Birdsall, 2000
).

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Fig. 19.
A, reversibility of the allosteric effects of
gallamine or TMB-8 by obidoxime at the human M2 muscarinic
acetylcholine receptor. Data are expressed as the ratio of the apparent
[3H]QNB dissociation rate in the presence
(kobs) and absence
(k0) of allosteric modulator. Note that the
accelearting effects of gallamine and the retarding effects of TMB-8 on
radioligand dissociation are equally inhibited by obidoxime. The entire
dataset was fitted to a model assuming competition between the three
modulators for a common allosteric site. Data taken from Ellis and
Seidenberg (2000) . B, Binding properties of the modulator, gallamine,
at the M2 muscarinic receptor as determined either
indirectly, using [3H]NMS to label the orthosteric site,
or directly, using [3H]dimethyl-W84 to label the
allosteric site. The ratio of gallamine affinities between the free and
NMS-occupied receptor corresponds to the cooperativity factor, , in
the simple allosteric ternary complex model when fitted to the
[3H]NMS binding data. Labeling of the allosteric site
with [3H]dimethyl-W84 to directly determine gallamine
affinity at this site reveals an affinity shift (pKI shift)
of gallamine for the free versus the NMS-occupied receptor that is
identical with the cooperativity factor determined from the
[3H]NMS experiments. The value of pK is defined as the
negative logarithm of the apparent dissociation constant. Data taken
from Tränkle et al. (1999) .
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The types of observations outlined above have provided impetus for
detailed studies on the location of the muscarinic acetylcholine receptor allosteric site. In particular, gallamine has been used in
almost all such studies as the prototypical muscarinic allosteric modulator, and experiments aimed at delineating the location of the
allosteric site on muscarinic receptors have targeted residues thought
to be involved in the binding of this modulator. The known abilities of
gallamine to i) impede access to and egress from the orthosteric
binding site (Birdsall et al., 1996
), ii) protect the orthosteric site
from chemical modifications (Jakubík and Tucek, 1994
), and iii)
rapidly produce allosteric effects in intact cells and whole tissues
(Christopoulos et al., 1998
) suggest that the allosteric site comprises
extracellular contact points located above the orthosteric site, which
is itself postulated to be located in the upper one-third of the inner
transmembrane pore (Wess, 1993
). In general, molecular biological
approaches have either focused on regions conserved across the five
muscarinic receptor subtypes or specifically focused on nonconserved
residues; each of these approaches has its own advantages. For instance
mutagenesis of conserved amino acids can yield information about
allosteric site(s) common to all muscarinic receptors, whereas studies
on nonconserved amino acids can provide insight into subtype-selective allosteric modulators.
In one of the earliest mutagenesis studies on muscarinic receptor
allosteric sites, Lee et al. (1992)
modified a series of conserved
aspartate residues in the M1 receptor and found
that substitution of Asp71
Asn decreased the
affinity of gallamine for the receptor, and the magnitude of its
cooperativity with [3H]NMS. Substituting
Asp99
Asn slightly increased gallamine's
affinity, but the cooperativity remained unchanged, whereas
Asp121
Asn resulted in no difference when
compared with the wild-type receptor. In another study, Matsui et al.
(1995)
found that mutations of Trp101
Ala and
Trp400
Ala in the outer portions TMIII and
TMVII, respectively, of the M1 receptor produced
greater effects on the affinity of gallamine for the receptor than the
mutation of Asp71 described by Lee et al. (1992)
.
However, an investigation of the role of Asn residues in the
M2 receptor by Leppik et al. (1994)
was in
accordance with the earlier M1 study of Lee et
al. (1992)
, in that mutation of the conserved
Asp69 in TMII was found to play a role in
gallamine's binding. More significantly, however, a mutation of the
EDGE sequence
(Glu172-Asp173-Gly174-Glu175)
in the second extracellular loop led to marked alterations in gallamine's ability to allosterically modulate
[3H]NMS binding (Leppik et al., 1994
). This
particular sequence of amino acids is unique to the
M2 receptor, although it should be noted that
every muscarinic receptor subtype, except for the M1 receptor, has at least one acidic amino acid
in the corresponding region (Ellis, 1997
). Furthermore, substitution of
the EDGE sequence into the second extracellular loop of the
M1 receptor conferred significantly higher
affinity of gallamine for that receptor, thus, confirming that the
allosteric site on muscarinic receptors requires specific extracellular
contact points and is especially sensitive to acidic amino acids
(Gnagey et al., 1999
).
In a complementary series of studies, Ellis and colleagues have
constructed a series of chimeric muscarinic receptors to probe the
location of the allosteric site. Based on the large separation of
gallamine's affinity between the M2 receptor, on
the one hand, and the M5 or
M3 receptors, on the other. Chimeric receptor
constructs of M2/M5 and
M2/M3 receptors identified
broad regions of amino acids responsible for gallamine's allosteric
properties (Ellis, 1997
). A 31-amino acid stretch incorporating parts
of the third extracellular loop and TMVI of the
M2 receptor was necessary for gallamine's
effects, which was in line with the observations of Matsui et al.
(1995)
because this stretch incorporated Trp400.
However, the extension of these studies to the actions of other allosteric modulators, such as TMB-8, has subsequently identified additional epitopes as being important for allosteric potency, with a
single threonine (T423) residue at the
M2 receptor playing a critical role in defining subtype selectivity for a number of muscarinic acetylcholine receptor modulators (Ellis and Seidenberg, 2000
; Buller et al., 2002
)
Taken together, the available data suggest that the allosteric binding
site for many charged molecules on muscarinic acetylcholine receptors
may be somewhere close to the orthosteric site, but at a more
extracellular level. Because allosteric interactions are evident at all
five subtypes, conserved residues such as Trp101,
Trp400, and possibly Asp71
(using the M1 receptor designation) may play
fundamental roles in allosteric modulation of the receptor such as
ligand recognition and/or maintenance of a favorable conformation. The
EDGE sequence, unique to the M2 receptor, may
provide a further extracellular point of attraction and stabilization,
and this may explain why the M2 receptor seems to
be the most readily modulated. It is likely that epitopes in the second
and third outer loops of the receptors that contain acidic amino acids
play a fundamental role in providing subtype-selectivity for different
muscarinic allosteric modulators (Ellis and Seidenberg, 2000
). Most
recently, preliminary molecular modeling of the
M1 receptor, based on 2.8-Å crystal structure of
rhodopsin (Palczewski et al., 2000
), has found general agreement with
the preceding speculations (Birdsall et al., 2001
). In particular, a
region of conserved extracellular residues above TMs V to VII form a
cleft that contains Trp400,
Ser388, Asp393, and
Glu397, acidic residues in the third
extracellular loop important for gallamine binding (Gnagey et al.,
1999
). It is possible that this cleft forms an entrance to the
orthosteric binding site and can explain the dramatic slowing effects
many muscarinic allosteric modulators have on orthosteric ligand
kinetics. Unfortunately, detailed structural information regarding the
allosteric sites on class I GPCRs other than the muscarinic
acetylcholine receptors is currently lacking.
1. Multiple Allosteric Sites.
Not all of the data derived
from studies on GPCR allosterism are compatible with the notion of a
single extracellular allosteric site in addition to the orthosteric
site. For instance, gallamine and tubocurarine exert biphasic effects
on the dissociation of [3H]QNB at
M2 muscarinic receptors in low ionic strength
media, first enhancing and then retarding radioligand dissociation
depending on the concentration of modulator used (Ellis and Seidenberg, 1989
; Ellis et al., 1991
). These data are difficult to explain without
postulating the existence of two separate allosteric sites that the
modulators recognize with different affinities. Other examples include
the green mamba venom "m1-toxin", which forms an almost
irreversibly bound cap across the extracellular regions of the
M1 muscarinic receptor by using multiple binding
points (Max et al., 1993
), and different attachment points have also been suggested for a series of hexamethonium derivatives (Bejeuhr et
al., 1994
) and unilaterally ring-substituted bispyridinium derivatives
(Kostenis et al., 1996
) on M2 muscarinic
receptors. Significantly, the anticholinesterase tetrahydroaminacridine
(THA) consistently results in inhibition curves with slopes steeper than unity for various orthosteric radioligands at muscarinic receptors
(Flynn and Mash, 1989
; Potter et al., 1989
; Kiefer-Day et al., 1991
;
Mohr and Tränkle, 1994
). The simplest scheme to accommodate these
results would involve THA recognizing both the orthosteric and
allosteric sites but only exerting positive cooperativity with respect
to its own binding. Alternatively, THA may recognize two modulatory
sites, each interacting positively co-operative with one another and
negatively cooperative with the orthosteric site.
Figure 20 shows the results from a
series of radioligand dissociation kinetic experiments performed at the
M2 muscarinic receptor using a variety of
allosteric modulators; the data are plotted in the form of Schild
regressions. It can be seen that the weak modulator, obidoxime, was
able to concentration-dependently inhibit the allosteric effects of
gallamine, W84, alcuronium, and WDuo3 and that the estimates of
obidoxime's affinity for the allosteric site were in general agreement
in each case (Tränkle and Mohr, 1997
). However, the interaction
between obidoxime and the modulator, Duo3, is characterized by a
significantly lower pA2 value, strongly suggestive of interaction at a different allosteric site.
Unfortunately, one of the limitations of using ligands such as
obidoxime is that its low affinity for the allosteric site(s) limits
the concentration ranges over which it can be tested. More recent
studies have identified the indolocarbazole, KT5720, as a relatively
high-affinity allosteric modulator of M1
muscarinic receptors that shares obidoxime's ability of exerting
minimal effects on orthosteric ligand dissociation kinetics while
maintaining the ability to bind to an allosteric site (Lazareno et al.,
2000
). This important property has been used in combination experiments
monitoring the interaction between KT5720 and
[3H]NMS in the absence or presence of
acetylcholine and other allosteric modulators such as gallamine and
brucine. Surprisingly, it was found that KT5720 could bind
simultaneously to the receptor with gallamine or brucine and
orthosteric ligands. The interaction between KT5720 and gallamine or
brucine was neutrally cooperative, whereas it exerted positive
cooperativity with [3H]NMS and acetylcholine.
Thus, the presence of two distinct allosteric sites has been suggested
for the M1 receptor.

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Fig. 20.
Schild plots of the interaction between the
allosteric modulator, obidoxime, and other modulators at the
M2 muscarinic acetylcholine receptor. Dose ratios (DR) were
calculated as the concentration of indicated allosteric modulator
producing half-maximal slowing of [3H]NMS dissociation
from the receptor in the absence to that obtained in the presence of
increasing concentrations of obidoxime. The interaction between
obidoxime and Duo3 is not consistent with binding to a common
allosteric site recognized by the other modulators. Data taken from
Tränkle and Mohr (1997) .
|
|
Recent data also suggest that more than one allosteric site exists on
the
1-adrenoceptor. For example, the
allosteric modulator 5-(N,N-hexamethylene)-amiloride enhances
[3H]prazosin dissociation at the human
1-adrenoceptor, but the data cannot be fitted
to the simple allosteric TCM (Leppik et al., 2000
). However, an
extension of the allosteric model to incorporate two binding sites for
5-(N,N-hexamethylene)-amiloride on the
1-receptor can adequately accommodate the
entire dataset.
Finally, it is possible that other highly conserved allosteric sites
may be present on many GPCRs. Table 8
lists the inhibition binding parameters for the novel thiadiazole
compound
N-(2,3-diphenyl-1,1,4-thiadiazol-5-(2H)-yildene)methenamine at a range of class I GPCRs. This compound inhibits the binding of both
agonists and antagonists with low micromolar potency at these receptors
in a reversible manner that is independent of receptor-G protein
coupling (Fawzi et al., 2001
). This is in contrast to other general
modulators of GPCRs such as suramin (see above) that lose their
allosteric properties in the absence of G proteins. Furthermore, the
inhibition of orthosteric binding by
N-(2,3-diphenyl-1,1,4-thiadiazol-5-(2H)-yildene)methenamine is accompanied by a concentration-dependent reduction in radioligand Bmax values, thus, suggesting a
noncompetitive mode of binding. Overall, however, the presence of a
distinct and conserved allosteric site for small molecules at a variety
of class I GPCRs is still mostly speculative at the moment and remains
to be further investigated.
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TABLE 8
Inhibitory potency of the noncompetitive antagonist, SCH-202676, on the
orthosteric binding of different Class I GPCRs
|
|
 |
VI. Endogenous Allosteric Modulators |
By definition, the orthosteric binding site on a GPCR comprises
amino acids that form contacts with the endogenous agonist for that
receptor; this site has, thus, specifically evolved to interact with an
endogenous hormone or neurotransmitter. In contrast, allosteric binding
sites need not satisfy this criterion. These latter sites may simply
represent accessory domains normally serving structural roles, and it
is only with the discovery of exogenous ligands (e.g., drugs) that
recognize these domains that allosteric modulation of receptor function
becomes biologically relevant. However, it is well known that certain
GPCR amino acid contact points are critical for recognizing endogenous
cations and transmitting global conformational changes that affect
orthosteric ligand and/or G protein binding (see above). More
significantly, ion-channel-linked receptors are known to be
allosterically modulated by a number of endogenous ligands. For
example, the GABAA receptors possess a distinct
allosteric binding site for neuroactive steroids such as pregnanolone
(Gasior et al., 1999
). Thus, it is possible that some GPCRs may also
normally interact with endogenous allosteric modulators under
physiological or perhaps pathophysiological conditions.
One candidate for an endogenous allosteric modulator of GPCR function
is the tetrapeptide LSAL, termed "5-HT-moduline". This substance
was originally isolated from rat brain and has been shown to interact
with the 5HT1B autoreceptor with high affinity. In contrast, it does not have appreciable affinity for a variety of
other 5HT and non-5HT receptors (Fillion et al., 1996
; Massot et al.,
1996
). Interestingly, the interaction between 5-HT-moduline and either
5HT agonists or antagonists is noncompetitive and antagonistic in
nature. In radioligand binding assays, 5-HT-moduline causes a reduction
in the maximal attainable level of orthosteric binding and in assays of
receptor function, it causes a reduction in maximal agonist
responsiveness (Fillion et al., 1996
; Massot et al., 1996
). Importantly, this peptide demonstrates a regional distribution similar
to that of 5HT1B receptors, is released from
nerve terminals in a Ca2+- and
K+-dependent manner and is rapidly degraded by
enzymatic breakdown (Massot et al., 1996
; Cloez-Tayarani et al., 1997
).
Taken together, these criteria suggest a true neuromodulatory role for
5-HT-moduline, and a physiological role in stress conditions has also
been postulated (Massot et al., 1998
).
Other endogenous substances have been identified as possible allosteric
modulators of muscarinic acetylcholine receptors. For example, Heron
and Schimerlik (1984)
suggested the presence of a nondialyzable,
protease-sensitive factor in atria that reversibly affected the
association kinetics of [3H]QNB. Another
substance, termed "endogenous soluble factor", was isolated from
embryonic chick heart by Creazzo and Hartzell (1985)
and found to
decrease [3H]QNB binding in a noncompetitive
manner. The authors suggested a possible role in agonist-induced
desensitization and receptor down-regulation. Diaz-Arrastia et al.
(1985)
identified a low-molecular weight peptide,
P2F, in calf thymus that also antagonized
[3H]QNB noncompetitively. Various researchers
have identified other endogenous protein modulators of muscarinic
receptors (Maslinski et al., 1988
; Fryer and El-Fakahany, 1989
; Fang et
al., 1993
; Frey et al., 1994
, 1996
). One particularly interesting
finding was the possible modulatory role that human eosinophil major
basic protein may play in M2 receptor dysfunction
of the airways (Jacoby et al., 1993
). This raises the possibility of a
pathophysiological role of endogenous muscarinic allosteric modulators
in disorders such as asthma. Other endogenous cationic peptides such as
protamine (Hu et al., 1992
) and dynorphin-A (Hu and El-Fakahany, 1993
)
have also demonstrated allosteric effects on muscarinic receptors.
Another example of pathophysiological conditions that may be mediated
by allosteric regulation of GPCR function can be found in a variety of
cardiac neuromyopathies characterized by the production of receptor
autoantibodies. For instance, the chronic stage of the
parasite-transmitted Chagas' disease, one of the most common determinants of congestive heart failure in the world, involves the
endogenous generation of antibodies that interact with and persistently
activate
-adrenergic and muscarinic acetylcholine receptors (Leiros
et al., 1997
). Previous studies with antibodies raised against specific
GPCRs have identified the second extracellular loop of these receptors
as a site of antibody binding that also leads to receptor activation
(AbdAlla et al., 1996
; Mijares et al., 1996
, 2000
). In the case of
peptide receptors, such as the bradykinin B2
receptor, the antibody contact points in the extracellular loop may
constitute part of the orthosteric site (AbdAlla et al., 1996
).
However, for antibodies raised against the class I bioamine receptors,
this is unlikely (Tucek, 1997
). Hence, the activation and subsequent
desensitization of
-adrenergic and muscarinic acetylcholine
receptors mediated by endogenously produced Chagasic autoantibodies
(Leiros et al., 1997
) may be mediated by an allosteric mechanism.
Perhaps not surprisingly, most candidate endogenous allosteric
modulators of GPCRs identified thus far are peptides. However, this is
not always the case. Oleamide is an amidated lipid found in
cerebrospinal fluid that plays an important role in sleep regulation (Boger et al., 1998
). However, this substance also has distinct effects
on 5HT2 and 5HT7 receptors
that are due to interaction with an allosteric site. For instance, at
the 5HT2A receptor, oleamide potentiates
agonist-mediated PI hydrolysis, whereas at the
5HT7 receptor, it is able to modify receptor
signaling even in the absence of agonist; importantly, this latter
effect of oleamide is resistant to antagonism by the orthosteric
antagonist clozapine (Thomas et al., 1997
). The allosteric binding
properties of oleamide at the 5HT7 receptor have
also been demonstrated in radioligand binding assays (Hedlund et al.,
1999
), thus, identifying this agent as a novel neuromodulator of GPCR function.
With the possible exception of the muscarinic acetylcholine receptors
(see preceding section) and some of the class III GPCRs, the overall
lack of specific structural information about the allosteric
pharmacophore(s) of other GPCRs means that the identification of
possible endogenous allosteric modulators still relies on a predominantly empirical approach. Nevertheless, it is possible that
changes in cellular homeostatic mechanisms, for example due to disease,
are mediated in part by alterations in the type and/or level of
endogenous signaling molecules that interact with GPCRs in an
allosteric manner.
 |
VII. G Protein-Coupled Receptor Complexing |
Protein-protein interactions constitute the core intracellular
signaling motif in all living systems. Sometimes, interactions between
protein partners are transient, perhaps serving a catalytic role,
whereas other times they involve the formation of more stable and
longer-lasting multimeric complexes. In all instances, however, the
formation of a bond between two proteins causes a conformational change
that can ultimately determine the functional consequence of the
interaction. If the resulting multimeric complex displays altered
properties with respect to its subsequent interactions with other
ligands or proteins, then the potential exists for allosteric
interactions to occur between the various binding sites on the complex.
By their very nature, GPCRs participate in a requisite coupling to
other membrane components, most notably G proteins, to transduce the
stimulus imparted to the receptor by an agonist to the cell. As
discussed earlier, this interaction is characterized by allosteric
effects transmitted between binding sites on either protein. From the
perspective of the GPCR, the orthosteric site is the agonist binding
site, whereas for the G protein, the orthosteric site may be defined as
the guanine nucleotide binding site on the G
-subunit. The binding
interface between the two proteins constitutes the allosteric site.
Although this description ignores the additional allosteric effect that
can occur as a consequence of G protein 
-subunit binding (Onaran
et al., 1993
), it is nevertheless sufficient to illustrate the best
studied example of GPCR complexing. Beyond the G protein paradigm,
however, GPCRs have generally been considered to behave as monomeric
proteins with respect to their interactions with orthosteric ligands.
Even the examples of allosterism illustrated in the preceding sections
are all instances of where more than one binding site is located on the
receptor monomer, and allosteric behavior arises as a consequence of
interactions between these sites. More recently, the classic picture of
GPCRs as monomers has been reevaluated due to the realization that they can form complexes with proteins other than G proteins. The most compelling evidence comes from the increasing number of studies demonstrating the ability of GPCR monomers to combine and form dimers,
or even higher order oligomers, but studies are now
expanding the list of "accessory proteins" that may act as partners
with GPCRs in an array of signaling complexes. In all of these
instances, the possibility exists for allosterism as a consequence of
protein-protein interactions.
A. Receptor-Receptor Interactions
In contrast to GPCRs, receptors from other superfamilies have long
been known to form multimeric complexes to participate in cellular
signaling. For example, members of the growth factor receptor family
such as the EGF-R, PDGF-R, FGF-R, and interferon
-receptors have
been identified as structural and functional dimers (see Hebert and
Bouvier, 1998
). Ion-channel linked receptors are also known to exist as
hetero-oligomers, that is, they are composed of multiple subunits of
different protein types, thus, leading to a diverse array of receptor
subtypes (Galzi and Changeux, 1994
). Each of these instances can lead
to cooperative behavior if more than one molecule of the orthosteric
ligand is able to bind to the multimeric receptor complex.
Indirect evidence has also been available for cooperative binding of
orthosteric ligands at GPCRs for quite some time. For instance,
radioligand binding assays at the
2-adrenoceptor (Limbird et al., 1975
), the
muscarinic receptors (Mattera et al., 1985
; Lee et al., 1986
; Potter et
al., 1988
, 1991
; Henis et al., 1989
; Wregget and Wells, 1995
; Chidiac
et al., 1997
), and the histamine receptor (Steinberg et al., 1985a
,
1985b
, 1985c
; Sinkins et al., 1993
; Sinkins and Wells, 1993
) have often
described orthosteric binding properties that could not be readily
reconciled either with simple mass-action monomeric receptor behavior
or within the framework of a simple ternary complex model between
orthosteric ligand, receptor, and G protein. For example, Fig.
21A shows the binding of the
orthosteric agonist oxotremorine-M against the antagonist
[3H]AF-DX 384 at native
M2 muscarinic receptors. In the presence of G
protein coupling, the competition curve is inhibitory (circles), although it is characterized by a biphasicity that suggests multiple affinity states. Interestingly, when the nonhydrolyzable GTP analog Gpp(NH)p is included in the assay to uncouple receptor-G protein complexes, a distinctly bell-shaped binding curve (squares) is obtained
for the agonist-antagonist interaction, characterized by an initial
element of positive cooperativity. Given that both ligands recognize
the orthosteric site of the muscarinic receptor, this pattern cannot be
reconciled with the simple TCM of allosteric interaction described
earlier, nor with the ternary complex model of orthosteric
ligand-receptor-G protein. This behavior can be rationalized, however,
if it is assumed that GPCRs can exist as dimers within the cell
membrane. A simple model of receptor dimerization is illustrated in
Scheme 3, where R represents a dimerized
receptor (e.g., R-R), A and B represent orthosteric ligands that can
bind to either or both orthosteric sites on the dimer, and
Ka and
Kb denote the equilibrium association
constants for binding of either ligand to a vacant dimer. The symbol
denotes the cooperativity factor for the binding of a second
equivalent of ligand A to a dimer that is already occupied by a
molecule of A, the symbol
denotes the cooperativity factor for the
binding of a molecule of ligand B to a dimer that is already occupied
by a molecule of A, whereas the symbol
denotes the cooperativity
factor for the binding of a second equivalent of ligand B to a dimer
that is already occupied by a molecule of B. The receptor conservation equation for this scheme is as follows.
|
(28)
|
The equilibrium occupancy by ligand A
(
A) in the presence of ligand B may then be
derived as follows.
|
(29)
|
Figure 21B illustrates a series of binding curves simulated
according to eq. 29. The only difference between the curves is the
degree of cooperativity (
) between A and B on the receptor dimer,
yet this is sufficient to accommodate a wide range of binding profiles
including multiple affinity states and bell-shaped curves.

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Fig. 21.
A, interaction between the orthosteric agonist,
oxotremorine-M, and the orthosteric antagonist, [3H]AF-DX
384, at the M2 muscarinic acetylcholine receptor copurified
with G proteins from porcine sarcolemmal membranes. The data were
obtained in the absence ( ) or presence ( ) of the nonhydrolyzable
GTP analog, Gpp(NH)p. Curves through the data represent the best fit
based on a model of receptor oligomerization. Data taken from Wregget
and Wells (1995) . B, predicted behavior of a dimeric receptor system.
Effects of orthosteric ligand B on the binding of orthosteric ligand A
according to eq. 29 with the following parameter values
pKA = 9, pKB = 8, and log[A] = 7. The
cooperativity factors shown in the figure represent the interaction
between two molecules of A ( ), two molecules of B ( ), and a
molecule each of A and B ( ) on the receptor dimer.
|
|
From the preceding discussion, it is apparent that even the simplest
scenario of a receptor dimer provides scope for a bewildering array of
allosteric interactions occurring between orthosteric binding sites.
Despite the potential for allosteric effects arising from cooperative
binding at GPCR oligomers, however, the frequency of such phenomena and
their functional relevance are currently unclear. Certainly, more
direct biochemical and/or structural evidence of GPCR dimerization is
now becoming available, having been obtained from photoaffinity
labeling experiments, receptor cross-linking studies, mutagenesis
experiments, and the construction of receptor chimeras (for references,
see Hebert and Bouvier, 1998
). The latter studies, in particular, have
provided an impetus for much of the more recent work on GPCR
dimerization. For instance, Wess and colleagues (Maggio et al.,
1993a
,b
), constructed a series of
2-adrenoceptor/M3
muscarinic receptor chimeras that contained the first 5 transmembrane
domains of one receptor type linked to the last two of the other type
of receptor and then studied their properties in a recombinant
expression system. When transfected alone, neither chimera showed
significant ligand binding activity. However, when they were
coexpressed, significant numbers of both
2 and
M3 binding sites were detected. Furthermore, this
phenomenon was functionally relevant, because the cotransfected cells
were able to respond to stimulation with a muscarinic receptor agonist. This functional "rescue" of receptor activity on coexpression of
the two different chimeric constructs could only be explained by an
intermolecular rearrangement of transmembrane domains between the two
receptor chimeras, thus, highlighting the possibility of GPCR-GPCR interactions.
Further evidence of functionally relevant GPCR dimerization has been
recently provided by Bouvier and colleagues (Hebert et al., 1996
,
1998
), who used a strategy of differential epitope tagging to
demonstrate that the
2-adrenoceptor responds
to agonist binding by forming receptor homodimers. Importantly, a
peptide derived from TM domain VI of the
2-adrenoceptor was able to inhibit both dimer
formation and isoproterenol-mediated adenylyl cyclase activity. This
finding provided structural evidence for the TM VI interface as being
an important determinant of
2-adrenoceptor homodimerization and suggesting a requisite role of the dimerization process in
2-receptor activation. Although
originally identified in cellular membrane fragments,
2-adrenoceptor homodimerization has
subsequently been demonstrated in vivo in intact cells (Angers et al.,
2000
, 2001
).
From these findings, it may be concluded that GPCR homodimerization
could represent a generalized paradigm of receptor activation. However,
the
-opioid receptor has been found to display quite a different
dimerization profile in response to agonist stimulation (Cvejic and
Devi, 1997
). Specifically, the effect of the agonist was found to be a
promotion of receptor monomers and a decrease in receptor dimers. This
agonist-mediated monomerization precedes agonist-mediated
internalization of the receptors, thus, suggesting a role for
-opioid receptor dimers in modulating the internalization process.
Interestingly, studies of bradykinin B2 receptor
dimers have found that dimer formation is required both for
agonist-mediated receptor activation and desensitization (AbdAlla et
al., 1999
).
Given the current paucity of detailed studies on the functional
consequences of GPCR dimerization, it is quite likely that further
studies will identify a number of roles for the dimerization process
that will be dependent on both the nature of the dimerization mechanism
and the cellular background in which this mechanism is operative. For
example, the sensitivity of muscarinic M3 (Zeng and Wess, 1999
) and
-opioid (Jordan and Devi, 1999
) receptor homodimers to reducing agents suggests a role for the disulfide bonds
of the extracellular receptor loops in the mechanism of receptor
dimerization. In contrast, other GPCRs, including the bradykinin
B2 receptor, the metabotropic glutamate receptor,
and the extracellular calcium-sensing receptor rely on their N-terminal regions to form homodimers (AbdAlla et al., 1999
, and references therein). As described above,
2-adrenoceptor
homodimers require the structural integrity of receptor TM region VI,
whereas dopamine D2 homodimers rely on TM VI and
VII (Ng et al., 1996
). It is possible that these latter types of
transmembrane interface interactions extend to other GPCRs, because the
chimeric receptor studies of Wess and colleagues (outlined above) also
suggested a role for intermolecular interactions between transmembrane
domains of
2/M3 receptor
chimeras. A general model to account for this latter type of
interaction has been proposed by Gouldson et al. (1998
, 2000
) and
termed "domain swapping". This model postulates that GPCR
homodimers can form by "swapping" TM regions V and VI. The advantages of dimer formation using this mechanism are that it is
energetically favorable, using the same type of bonding forces that
maintain the structure of a standard GPCR monomer, and that it can
minimize the effects of loss-of-function mutations. A number of studies
of "functional receptor rescue" have demonstrated how mutated
receptors that cannot signal are able to do so when they undergo a
dimerization with another equivalent of receptor (see Gouldson et al.,
1998
, 2000
).
GPCR dimerization does not necessarily have to be restricted to the
formation of homodimers. Some receptors may need to form heterodimers
to function properly. The first discovery of this phenomenon was in
relation to the metabotropic GABAB receptor. Although cloning studies had identified two distinct monomeric receptor
subtypes, termed the GABABR1 and
GABABR2 receptors (see Marshall et al., 1999
),
appropriate functional responses corresponding to native receptor
properties could only be obtained when these two subtypes were
coexpressed in the same cell (Jones et al., 1998
; Kaupmann et al.,
1998
; White et al., 1998
). Subsequent studies have identified the
GABAB heterodimer as a tightly associated C-terminal "coiled-coil" structure that is most likely preformed in
the endoplasmic reticulum and, therefore, does not need to be induced
by agonist binding (Marshall et al., 1999
). Another recently identified
example of GPCR heterodimerization involves the combination of
- and
-opioid receptors (Jordan and Devi, 1999
). In contrast to
-opioid
homodimers,
-
-heterodimers display a minimal tendency to
monomerize in the presence of agonist. This suggests a role of
heterodimerization in modulating receptor function. The
-
heterodimers also display profound differences in their ability to bind
- or
-selective ligands. Table 9
shows some examples of the binding properties of selective opioid
ligands to the
-,
-, or
-
-receptor complexes. What is most
striking is the enhancement of apparent ligand affinity at the
heterodimer when measured in the presence of another ligand, suggesting
positive cooperativity in the mode of agonist binding to the
heterodimer. Similarly, angiotensin AT1 receptor
and bradykinin B2 receptor heterodimers display
significantly different pharmacological profiles when exposed to the
endogenous agonist for either receptor in comparison to each receptor
when it is individually expressed (Fig.
22; see AbdAlla et al., 2000
).
Importantly, the altered pharmacological responsiveness of the
AT1-B2 heterodimer has
recently been linked to the hypertension that characterizes the
condition of pre-eclampsia, which is often observed in pregnant women
(AbdAlla et al., 2001
). This is a striking example of a disease that is
mediated, at least in part, as a consequence of increased GPCR
heterodimer formation.

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Fig. 22.
Generation of inositol phosphaptes by
angiotensin-II (left panel) or bradykinin (right panel) in HEK 293 cells transfected individually (open symbols) or cotransfected (solid
symbols) with the AT1 and B2 receptors.
Receptor cotransfection generates a novel pharmacological profile for
either agonist. Data taken from AbdAlla et al. (2000) .
|
|
As with the ion channel-linked receptors, therefore, it seems that
heterodimerization of GPCRs may represent an important mechanism for
generating receptor subtypes with a pharmacological profile that is
distinct from that of either monomer alone. In this latter instance,
the resulting, "new" pharmacological profile most likely reflects
the extent of allosteric interaction between multiple orthosteric sites
within a receptor oligomer. However, the true extent of this phenomenon
is far from known and the field of GPCR oligomerization is rapidly
expanding. Further detailed discussion is beyond the scope of this
review; Table 10 summarizes studies
conducted on ligand regulation of GPCR oligomerization and/or altered
receptor pharmacology as a consequence of GPCR oligomerization.
B. Accessory Proteins
In classical receptor theory, a basic tenet is the belief that the
receptor is the minimal unit required for the production of drug
response. Thus, operationally, a ligand combines with a receptor and
produces a physiological response. Implicit in this scheme is the fact
that the receptor and ligand form a unique system that is portable to
all physiological arenas. In fact, this is the basis of receptor
pharmacology because it defines the various quantitative
correspondences between ligand and effect and the relative activity of
ligands, which then allows drug discovery to be carried out in
surrogate systems and extrapolated to therapy in humans. This concept
is now being tested as recombinant systems became widely used in
experimental pharmacology. In these experiments, receptor cDNA is
transfected into foreign host cells, and the resulting system, namely
the receptor expressed into the membrane of the host, is used as a
surrogate mimic of the receptor in its natural environment. In general,
the majority of studies confirm this portability of receptor. However,
careful observation of the expected behavior of some receptors
expressed in some recombinant systems has uncovered anomalies that do
not conform to the idea that a receptor is always a stand-alone entity
that can be inserted into any cellular background and be expected to
produce physiologically accurate behavior. These studies have provided
evidence that GPCRs are active participants in protein-protein
interactions that can often occur independently or in conjunction with
the receptor coupling to its G protein(s) or to other receptors.
One such example has been found with
2A/D-adrenoceptors, which are known to couple
to Gi/o proteins in NIH-3T3 and PC-12 cells. The
signal can be eliminated by treatment with pertussis toxin and
reconstituted by addition of G protein. It was noted in these studies
that the efficiency of receptor activation differed in various
surrogate cell hosts. Specifically, the reconstitution was 3- to 9-fold
greater in PC-12 cells (over NIH-3T3 cells), and it was observed that
this effect was independent of the level of receptor expression (Nanoff
et al., 1995
; Sato et al., 1995
). A heat-sensitive macromolecule could
be extracted from PC-12 cells that facilitated coupling of receptor to
G protein (Sato et al., 1995
). Detergent solubilized membrane extracts
from NG108-15 cells have been shown to increase
[35S]GTP
S binding to purified G protein by
460%. Thus, a "factor" in this system was postulated to be a novel
signal accelerator (Sato et al., 1996
). Similarly a membrane protein
termed "coupling cofactor" has been shown to trap the adenosine
receptor in the high-affinity state complexed with the G protein, thus,
reducing the catalytic activity of the receptor (Nanoff et al., 1995
,
1997
). It is postulated that this factor assists in the organization of
receptor/G protein signaling by restraining the receptor activation of
some G proteins.
Another class of monoamine agonist GPCRs known to interact with
accessory proteins are the dopamine receptors. Dopamine
D1 receptors preferentially signal through
Gs proteins to stimulate cAMP accumulation.
Recently, a single transmembrane-spanning protein, termed
"calcyon", has been shown to physically associate with D1 receptors in neurons and potentiate their
ability to stimulate intracellular calcium release, a typically
Gq/11-coupled response (Lezcano et al., 2000
).
Interestingly, calcyon does not seem to affect D1
receptor affinity toward dopamine agonists, which is characterized by
both high- and low-affinity components, but significantly enhances the
proportion of the high-affinity state (Lidow et al., 2001
). This
finding suggests a complex allosteric interaction involving at least
three proteins, calcyon, the D1 receptor, and its
interacting G protein(s). In addition, dopamine
D2 and D3 receptors
associate with the cytoskeletal protein filamin-A, which has been
suggested to be required for proper cell surface expression of these
receptors in neurons, and linking them to downstream signaling pathways
(Lin et al., 2001
).
There are a number of other factors proposed to affect the interaction
between receptors and G proteins. For example, stimulation of the
chemokine CCR2B receptor by the monocyte chemotactic protein 1 promotes
the rapid association of the receptor with the Janus kinase 2/STAT3
protein pathway. Furthermore, it has been postulated that the
association of the CCR2B receptor with its cognate
Gi protein requires the allosteric effects
induced in the receptor by both monocyte chemotactic protein 1 binding
and Janus kinase 2 association (Mellado et al., 1998
). In addition, the
cytoskeletal protein tubulin has been shown to affect the activation
state of G proteins (Wang et al., 1990
; Roychowdhury et al., 1993
;
Popova et al., 1994
), and, similarly, the protein neuromedulin also
facilitates receptor-G protein interaction, possibly by accelerating
the binding of cyclic nucleotides to G protein (Masure et al., 1986
;
Strittmatter et al., 1990
, 1991
, 1993
). Similar effects are produced by
the wasp venom mastoparan (Higashijima et al., 1988
), the
-amyloid precursor protein (Okamoto et al., 1995
), and compound 48/80 (Mousli et
al., 1990
). Regulators of G protein signaling proteins are also known
to interfere with receptor/G-protein coupling (Hunt et al., 1996
;
Watson et al., 1996
; Berman and Gilman, 1998
; De Vries et al., 2000
;
Zhong and Neubig, 2001
).
There also are proteins known to directly affect the activity of G
proteins (Mousli et al., 1990
; Strittmatter et al., 1991
; Nishimoto et
al., 1993
; Popova et al., 1994
; Scherer et al., 1995
; Takesono et al.,
1999
) themselves, but these may have no relevance to agonist profiles
on the receptors that interact with those G proteins. Similarly, the
cofactors discussed above may not affect the receptor phenotype with
respect to different agonists but rather only modify the sensitivity of
the receptor to all agonists in a given system. From this standpoint,
these factors would not be relevant to the classification of receptors
and drugs or the determination of drug related selectivity in
recombinant systems, even though many of the interactions may involve
allosteric modulation of protein-protein interactions.
In contrast, there are cofactors that seem to be directly involved in
receptor phenotypic behavior toward agonists and/or G proteins. The
question then arises: which accessory proteins affect the specific
ligand/receptor activity profiles of ligands thought to be the
exclusive property of ligand-receptor relationships? Furthermore, if
such accessory proteins do change the phenotype of receptors with
respect to the ligands with which they interact, then by what manner do
they do so? One idea relates to the geometric configuration of receptor
systems in membranes. For example, it can be conceived that the
organization of G protein with receptors in microdomains may cause
predisposition of receptors that are pleiotropic with respect to G
protein activation toward a subset G proteins in certain cell types.
Receptors and G proteins are organized in multimeric complexes that
form microdomains (Neubig, 1994
). The combination of such organization
with ligand selective receptor active states could affect agonist
profiles for receptors in different cellular hosts. For example, a
family of proteins localized to some of these microdomains, called
caveolins, cause enrichment of these microdomains with G proteins (Li
et al., 1995
; Scherer et al., 1995
, 1996
). It is not yet known whether
this results in agonist-dependent selective receptor coupling to G proteins.
A particularly well characterized case where an accessory protein
clearly changes the phenotype of the receptor is with a family of
single transmembrane proteins required for the transport and ligand
specificity termed receptor activity modifying proteins (RAMPs). There
are three RAMPs ubiquitously distributed among tissues and sharing
approximately a 31% homology. Studies have shown that RAMP1 associates
with the calcitonin receptor-like receptor CRLR and produces a
high-affinity CGRP receptor (McLatchie et al., 1998
). RAMP1 also seems
to be important in controlling the translocation of CRLR to the cell
surface. Unlike RAMP1, the combination of CRLR with RAMP2 or RAMP3 does
not produce a CGRP receptor but rather results in a receptor for
adrenomedullin. Although RAMPs have been implicated in the trafficking
of receptors to the cell membrane and the regulation of the
glycosylation pattern (McLatchie et al., 1998
; Foord and Marshall,
1999
; Fraser et al., 1999
), there are effects of RAMPs, particularly
RAMP3, that cannot be explained by simple differences in receptor
expression. In fact, there is evidence to suggest that RAMPs remain
associated with receptors on the membrane surface (McLatchie et al.,
1998
; Leuthauser et al., 2000
).
Studies with human calcitonin receptors demonstrate striking effects of
RAMPs. Cotransfection of RAMP3 with human calcitonin receptors produces
a decrease in the potency of human calcitonin and an increase in the
potency of rat amylin (Armour et al., 1999
). A striking reversal of
relative potency of the agonists human calcitonin and rat amylin is
observed with cotransfection of RAMP3 (Fig.
23A). This effect is consistent with a
RAMP3-induced change in calcitonin receptor coupling to G protein.
However, RAMP3 also confers a change in the potency of the peptide
calcitonin antagonist AC66 for antagonism of amylin, but not human
calcitonin responses (see Fig. 23, B and C). These data suggest that
RAMP3 associates with the receptor to change its behavior to both
agonists and antagonists (Armour et al., 1999
). A study by
Christopoulos et al. (1999)
indicates that cotransfection of RAMP1 and
RAMP3 produces an increase in specific amylin binding in COS-7 cells
transfected with human calcitonin receptors. The binding and functional
profiles obtained with the two types of RAMP in this study are
consistent with the production of two separate amylin-like receptors
(Christopoulos et al., 1999
).

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|
Fig. 23.
Effects of RAMP3 cotransfection on the effects of
agonists (A) and the antagonist AC66 (B and C) for X.
laevis melanophores transiently expressing human calcitonin
receptors. A, the relative potency of rat amylin and human calcitonin
changes by a factor of 16 with a change in the rank order of agonist
potency with cotransfection of RAMP3. B, Schild regressions for AC66.
There is no change in the antagonism of responses to human calcitonin
with cotransfection of RAMP3. However, a 10-fold loss of potency of
AC66 for amylin antagonism was observed (C). Redrawn from Armour et al.
(1999) .
|
|
The revelation that RAMPs are sometimes required to generate receptor
phenotypes corresponding to native receptors may be an example of a
more generalized phenomenon. For instance, the CGRP-receptor component
protein is another protein distinct from the RAMP family that also
couples directly to the CRLR together with RAMPs to promote signal
transduction (Luebke et al., 1996
; Evans et al., 2000
). It is possible
that accessory proteins are required to unmask the pharmacology of
specific orphan receptors for which the gene product has been
identified but the endogenous activating ligand has not.
Some other additions to the list of GPCR coupling partners promise to
quash the concept of the receptor-G protein signaling hierarchy
altogether. These novel coupling partners encompass an ever-growing
array of proteins containing specific amino acid modules that allow
them to bind to complementary modules in other proteins and, thus, lead
to the assembly of multimeric signaling complexes. One important family
of targeting proteins are the "PDZ domain-containing" proteins.
These possess a GLGF sequence and a conserved arginine that can
self-aggregate and/or interact with other proteins containing a
S/TxV
motif or a F/Y-x-F/V/A motif. The PDZ proteins derive their name from
the three cell-organizing proteins in which this association was first
noted, the postsynaptic density-95 protein, the Drosophila
disks large protein, and the Zona occludens protein. Although already
known to play a crucial role in coupling to the NMDA ion channel-linked
receptors and targeting them to postsynaptic densities in neurons, PDZ
domain-containing proteins are now known to interact directly with
GPCRs as well. For example, the somatostatin receptor subtype 2 couples
to a PDZ domain-containing protein called SSTRIP, which then targets the receptors to their appropriate site of action (Zitzer et al., 1999
). In addition, all three subtypes of 5HT2
receptor contain PDZ consensus motifs in their extreme C-terminal
tails, and this motif has been implicated in the coupling of these
receptors to neuronal NOS and a novel, multi-PDZ-domain protein termed
MUPP1 (Ullmer et al., 1998
; Manivet et al., 2000
; Becamel et al.,
2001
). The
2-adrenoceptor and the
P2Y1 purinoceptor also couple to a PDZ
domain-containing protein known as
Na+/H+ exchange regulatory
factor and are able to regulate its function completely independent of
their ability to couple to G proteins (Hall et al., 1998a
, 1998b
).
Similarly, the
1-adrenoceptor couples to the
postsynaptic density-95 protein via a similar PDZ interaction (Hu et
al., 1996
, 2000
).
Finally, GPCRs that contain polyproline-rich regions, such as those
found in the third intracellular loop of the
1-adrenoceptor, are able to bind with other
targeting proteins that contain Src homology (SH)3 domains, WW domains,
or enabled/VASP domains. The "endophilins" (SH3p4/p8/p13) are one
such group of proteins that are able to bind to the
1-adrenoceptor and may play a role in agonist-mediated internalization of that receptor (Tang et al., 1999
).
Another example relates to members of the metabotropic glutamate
receptor family that couple to a protein known as "Homer" through a
polyproline-rich region in the C termini of the receptors (Neubig,
1998
; Bockaert and Pin, 1999
). Interestingly, overexpression of the
mGluR1a and mGluR5 metabotropic glutamate receptors in heterologous
cell lines led to agonist-independent constitutive receptor activity
and also revealed that the direct intracellular association of
different Homer proteins was sufficient to promote or silence this
receptor activation (Ango et al., 2001
). In this instance, an
allosteric conformational change induced via intracellular GPCR-protein
interactions were shown to elicit agonist-independent signaling that
displayed different temporal patterns to agonist-mediated signaling;
this can have significant implications for events such as synaptic plasticity.
Findings such as these highlight the bewildering array of
GPCR-accessory protein interactions, but it should be noted that many
of these may prove to use allosteric mechanisms in subserving their
physiological roles. For instance, in certain neurons, a family of
laminin-secreted proteins termed "netrins" controls axon
elongation. The receptor originally proposed to bind netrin-1, the DCC
protein, does not interact directly with the netrin. Rather, the DCC
protein associates with one region of the adenosine
A2b receptor while the netrin-1 protein
associates with another region that is topographically distinct from
the adenosine-binding site. Together, this novel "ternary complex"
mediates many of the effects on axonal outgrowth ascribed to the
netrins (Corset et al., 2000
) and suggests a novel role for
A2b receptors in the nervous system, beyond
neurotransmission, that is predicated by an allosteric interaction.
 |
VIII. Conclusions |
Allosteric interactions can be manifested in a variety of ways,
but they all involve the transmission of a conformational change across
the surface of a GPCR such that the subsequent ability of that receptor
to bind other ligands and/or proteins is modified. Thus, allosteric
mechanisms allow for profound alterations in cellular homeostasis in
response to often subtle receptor binding events. This review has
focused on allosterism between multiple sites within the same GPCR and
interactions between GPCRs and other proteins. Although the
consequences of allosteric interactions involving these receptors can
vary dramatically, the study and quantification of these phenomena
often involve similar approaches that can provide a remarkable insight
into the communication machinery of the cell. Ultimately, the
exploitation of allosteric phenomena may lead to novel therapeutic
regimens that provide maximum benefit while causing minimal adverse
effects. Importantly, the study of such phenomena will become of
progressively greater import as the impact of newer and more sensitive
GPCR screening technologies is absorbed and assimilated into the drug
discovery process.
We are grateful to Dr. Fred Mitchelson
(University of Melbourne) for critical review of the manuscript. Arthur
Christopoulos is a C.R. Roper Research Fellow of the Faculty of
Medicine, Dentistry and Health Sciences, University of Melbourne.
Address correspondence to: Dr. Arthur Christopoulos,
Department of Pharmacology, University of Melbourne, Grattan Street, Parkville, Victoria 3010, Australia. E-mail: arthurc1{at}unimelb.edu.au