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Forensic Toxicology · Tools
Compute remaining concentration, elimination constant and clearance time for first-order kinetics.
C = C₀ × 0.5^(t / t½), k = ln2 / t½
First-order elimination
Concentration remaining
25.000ng/mL
C = C0 x 0.5^(t / t½) = 100 x 0.5^(2.000) = 25.000 ng/mL
First-order kinetics assume elimination is proportional to concentration. Ethanol and phenytoin follow zero-order kinetics at normal doses and do not fit this model.
Published half-lives are population averages and vary widely with liver and kidney function, age, co-administered drugs and genetic polymorphisms in metabolising enzymes. Saturation kinetics, active metabolites and post-mortem redistribution all break this model.
Most drugs are cleared by first-order kinetics, where the amount eliminated per unit time is proportional to the concentration present. That produces exponential decay with a constant half-life, and five half-lives is the usual rule for practical clearance.
Ethanol is the notable exception at normal doses: its elimination is zero-order, a fixed amount per hour regardless of concentration, which is why the Widmark calculator uses a linear term instead.