Pharmacodynamic models

When pharmacological effects are seen immediately and are directly related to the drug concentration, a pharmacodynamic model is applied to characterize the relationship between drug concentrations and effect. Phoenix includes the following PD models:

Notation definitions 

Emax: Maximum drug effect.

Imax: Maximum drug inhibition.

E0: Baseline effect (effect at C = 0).

EC50: Concentration in plasma that achieves 50% of predicted maximum effect in an Emax model.

IC50: Drug concentration required to produce 50% of the maximal inhibition.

Rmax: Effect at infinity (includes maximum drug effect/inhibition and baseline).

F_Emax: Fractional change in effect from baseline E0.

Gamma: Shape parameter.

Model 101: Simple Emax model.

PD101

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Estimated parameters: Emax, EC50 

Effect = 0 at C = 0 and Emax at C = infinity

Model 102: Simple Emax model with a baseline effect parameter.

PD102

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Estimated parameters: Emax, EC50, E0 

Secondary parameters: Rmax = Emax + E0, F_Emax = Emax/E0 

Effect = E0 at C = 0 and Emax + E0 at C = infinity

Model 103: Inhibitory effect model.

PD103

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Estimated parameters: E0, IC50 

Effect = 0 at C = 0 and Emax at C = infinity

Model 104: Inhibitory effect model with a baseline effect parameter.

PD104

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Estimated parameters: Imax, IC50, E0 

Secondary parameters: Rmax = E0 – Imax, F_Imax = Imax/E0 

Effect = E0 at C = 0 and E0 – Imax at C = infinity

Model 105: Sigmoid Emax model.

PD105

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Estimated parameters: Emax, EC50, Gamma

Effect = 0 at C = 0 and Emax at C = infinity

Model 106: Sigmoid Emax model with a baseline effect parameter.

PD106

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Estimated parameters: Emax, EC50, E0, Gamma

Secondary parameters: Rmax = Emax + E0, F_Emax = Emax/E0 

Effect = E0 at C = 0 and Emax + E0 at C = infinity

Model 107: Sigmoid inhibitory effect model.

PD107

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Estimated parameters: E0, IC50, Gamma

Effect = E0 at C = 0 and 0 at C = infinity

Model 108: Sigmoid inhibitory effect model with a baseline effect parameter.

PD108

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Estimated parameters: Imax, IC50, E0, Gamma

Secondary parameters: Rmax = E0 – Imax, F_Imax = Imax/E0 

Effect = E0 at C = 0 and E0 – Imax at C = infinity


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