15.10
Once administered, a drug binds to the receptor, forming a complex that triggers a pharmacodynamic response.
Changes in this complex over time depend on association constant kon, maximum receptor density RT, drug concentration C, and dissociation constant koff.
At equilibrium, the rate of change in the drug–receptor complex is zero, simplifying the equation and defining the RC complex, with KD as the dissociation constant.
The model assumes the drug effect magnitude is proportional to the RC concentration, leading to the Emax formula. Replacing KD with EC50 yields the Emax concentration–effect equation. The resulting effect versus plasma concentration plot is curvilinear.
The Hill coefficient, , defines the curve’s steepness. Values above five create steep curves, where missed doses can significantly reduce therapeutic effects.
On the other hand, values less than one yield broader slopes, indicating a more gradual response.
The Emax drug-concentration effect model is central to pharmacodynamics in drug discovery and development. This model is predicated on the receptor oc…
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