Process Control: Modeling, Design, and Simulation

M12.3. Intravenous Delivery of Anesthetic Drugs

Traditionally, most anesthetics have been vapor-phase, such as isoflurane. In recent years there has been a move toward the intravenous (IV) delivery of drugs for anesthesia. One of the more popular IV anesthetics is propofol. For a particular population of subjects, the following kinetic values have been determined: k₁₀ = 0.152, k₁₂ = 0.207, k₁₃ = 0.040, k₂₁ = 0.092, and k₃₁ = 0.0048, all with units of min^-1. Also, assume that the volume of the blood plasma compartment is V₁ = 12 liters.

1. What is the required steady-state propofol infusion rate to maintain a desired blood concentration of 2 μg/ml?

2. Develop the state space model, based on Equations (M12.2) and (M12.3 or M12.4), assuming that the plasma ...