Modelling drug interaction using a fractional order pharmacokinetic model

Modeling the effect of anaesthetic drugs on the electrical activity in the brain Bispectral Index is of great importance to obtain optimal control of the drug infusion during general anesthesia. In this paper, we present a first attempt in using a fractional order pharmacokinetic model (FOPK) to model drug interactions. The FOPK model preserves mass balance and maintains the link between physiological and mathematical parameters. The final use of this model is to predict drug pharmacokinetics and pharmacodynamics during general anaesthesia that will capture accurately the inter-patient variability and enable patient individualized drug dosing control.