Pharmacokinetics & Pharmacodynamics formula — definition, units and applicable conditions

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Pharmacokinetics & Pharmacodynamics

one-chamber intravenous bolus concentration

C(t)=\frac{D}{V}e^{-(CL/V)t}

describes the exponential decrease in plasma concentration after a single transient intravenous administration.

Pharmacokinetics & Pharmacodynamics

t_{1/2}=\frac{\ln2}{k}=\frac{\ln2\,V}{CL}

Convert linear elimination constants to concentration halving times.

Pharmacokinetics & Pharmacodynamics

\mathrm{AUC}_{0\to\infty}=\frac{FD}{CL}

relates dose, bioavailability, and clearance to total exposure.

Pharmacokinetics & Pharmacodynamics

E=E_0+\frac{E_{\max}C}{EC_{50}+C}

uses saturation response to describe the relationship between concentration and drug efficacy.