An Analytic Method to Determine the Optimal Time for the Induction Phase of Anesthesia

We obtain an analytical solution for the time-optimal control problem in induction phase of anesthesia. Our is shown to align numerically with results obtained from conventional shooting method. The anesthesia relies on a pharmacokinetic/pharmacodynamic (PK/PD) model proposed by Bailey and Haddad 2005 regulate infusion propofol. In order evaluate our approach compare it existing literature, we examine minimum-time anesthetizing patient. By applying Pontryagin minimum principle, introduce method as means solve at hand. Additionally, conducted numerical simulations using MATLAB computing environment. newly discover that optimal continuous rate anesthetic required time transition awake state anesthetized exhibit similarity between two methods. However, advantage new analytic lies its independence unknown initial conditions adjoint variables.