Median-Effect Equation^{a} | Hill Equation and Michaelis-Menten Equation^{b} |
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log[(f_{a})^{-1} - 1[^{-1} = m log D - m log D_{m} | log][v/(V_{max} - v) = n log S - log K |
when m = 1: f_{a} = 1[1 + D_{m}/D)] | when n = 1: v/V_{max} = 1[1 + (K_{m}/S)] |
↵ a Features: 1) inhibitor-oriented; 2) for ligand effect; 3) easily expandable to two or more inhibitors; 4) derived by mathematical induction and deduction
↵ b Features: 1) substrate-oriented; 2) for substrate saturation; 3) difficult to expand to two or more substrates; 4) derived by phenomenal observation and reasoning