2017/01/30 by Domagoj Herceg, Herceg, Domagoj, Sotiris Ntouskas +12
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Mathematics · #Advanced Control Systems Design #Analytical Chemistry and Chromatography #Receptor Mechanisms and Signaling #math.DS #math.OC
paper · pdf · doi:10.48550/arxiv.1701.08668
arxiv created 2017/01/30 · arxiv updated 2017/01/31
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.