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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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M12.2. Pharmacokinetic Models

Pharmacokinetics is the study of the dynamic behavior of drug concentrations in blood and tissues. Compartmental models are widely used to conceptually describe this behavior. One common 3-compartment model is shown in Figure M12-1.

Figure M12-1. Three-compartment model.

Compartment 1 is often used to represent blood plasma. The drug is assumed to be directly infused to compartment 1. The drug can then diffuse between compartment 1 and compartments 2 and 3, based on the transfer parameters, kij. For example, k12 represents the kinetics for transfer of the drug from compartment 1 to compartment 2. Compartment 2 can ...

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