Semester 6 • BP604T
Biopharmaceutics & Pharmacokinetics (BP604T): Mathematical Models & Clearances
Compiled by Dr. Tarun Ghosh, Ph.D Biopharmaceutics
Chapter 1: One-Compartment Open Model (IV Bolus)
In the one-compartment model, the entire human body behaves as a single kinetically homogeneous container where drug distributes instantaneously.
\[ C_p = C_0 \cdot e^{-k_e \cdot t} \]
\[ t_{1/2} = \frac{0.693}{k_e} \]
Where \(C_0\) is initial plasma concentration, \(k_e\) is the first-order elimination rate constant, and \(t_{1/2}\) is the biological half-life.
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