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Compartmental models

General · Mathematics

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Q: Drug: gut → blood → eliminated. Write compartmental equations. Gut G: dG/dt = -k_a G (absorption). Blood B: dB/dt = k_a G-k_e B (in minus out). Mass balance: what leaves one enters next! k_a: absorption rate, k_e: elimination. Solve: G = G₀e^(-k_a t), B rises then falls! (Compartments: tracking flows!)

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