# Modeling and administration scheduling of fractional-order pharmacokinetic systems

## TL;DR

This paper explores fractional-order models for pharmacokinetics, compares simulation methods, and proposes an optimal drug administration schedule, demonstrating its effectiveness on patient data.

## Contribution

It introduces simulation techniques for fractional-order pharmacokinetic models and develops an optimal drug scheduling scheme evaluated on patient data.

## Key findings

- Simulation methods vary in accuracy and complexity
- Optimal scheduling improves drug administration outcomes
- Modeling captures nonlinear pharmacokinetic phenomena

## Abstract

Fractional-order dynamical systems were recently introduced in the field of pharmacokinetics where they proved powerful tools for modeling the absorption, disposition, distribution and excretion of drugs which are liable to anomalous diffusion, deep tissue trapping and other nonlinear phenomena. In this paper we present several ways to simulate such fractional-order pharmacokinetic models and we evaluate their accuracy and complexity on a fractional-order pharmacokinetic model of Amiodarone, an anti-arrhythmic drug. We then propose an optimal administration scheduling scheme and evaluate it on a population of patients.