Let the parameter values be ke = 0.4 hr?1 , V = 20 l and k0 = 200 mg/hr (where “l” is the symbol for “liter”). If the initial drug concentration is C(0) = 10 mg/l , plot the drug concentration as a function of time (in hours) for the first 10 hours of infusion. Find the solution as the sum of the zero-excitation response and the zero-state response.
Pharmacokinetics is the study of how drugs are absorbed into, distributed through, metabolized by and excreted from the human body. Some drug processes can be approximately modeled by a “one compartment” model of the body in which V is the volume of the compartment, C(t) is the drug concentration in that compartment, ke is a rate constant for excretion of the drug from the compartment and k0 is the infusion rate at which the drug enters the compartment.
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