A two-compartment fractional derivative model for Propofol diffusion in anesthesia

Abstract

This paper presents the initial steps towards the development of a compartmental model for Propofol diffusion in the human body using concepts from fractional calculus. The model presented here preserves the mass balance, therefore it maintains the link between physiological and mathematical parameters. The final purpose of this model is to predict drug pharmacokinetics and pharmacodynamics during general anesthesia. A comparison of the proposed a fractional order model and the integer order compartmental model of Propofol shows good agreement between them.