Dosing & Pharmacokinetics

Drug half-life, volume of distribution, clearance, and plasma concentration after time t.

Drug Half-Life

V_d = volume of distribution, CL = clearance. Time for plasma concentration to halve.

t_{1/2} = \frac{\ln 2 \cdot V_d}{CL} = \frac{0.693 \cdot V_d}{CL}

Volume of Distribution

D = dose administered, C₀ = initial plasma concentration.

V_d = \frac{D}{C_0}

Drug Clearance

D = dose, AUC = area under the plasma concentration-time curve.

CL = \frac{D}{AUC}

Plasma Concentration (First-Order Elimination)

C(t) = concentration at time t, C₀ = initial concentration, k = elimination rate constant.

C(t) = C_0 \cdot e^{-kt}

Pediatric Dose (Clark's Rule)

Weight-based dose adjustment for children. Weight in kg.

D_{child} = \frac{weight_{child}}{70} \cdot D_{adult}

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