First-order half-life: C(t½)/C₀ = 1/2; t½ = log(2)/k_e

Layer 3 — Biologyin the neuropharmacology subtree

Sympy-exact witness of the first-order half-life identity. Setup: C(t) = C₀ · exp(−k_e · t), half-life t½ defined by C(t½) = C₀/2. Identity 1 (symbolic t½): t½ = ln(2) / k_e — the canonical half-life formula. Identity 2…

Related concepts

First-order elimination: C(t)=C₀·e^(−kt); t½ = ln(2)/k

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