Exact solutions to fractional pharmacokinetic models using multivariate Mittag-Leffler functions

V.F. Morales-Delgado, M.A. Taneco-Hernández, Cruz Vargas-De-León and J.F. Gómez-Aguilar

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: The aim of this paper is to provide a mathematical study of the amount of drug administered as a continuous intravenous infusion or oral dose. For this purpose, we consider fractional-order mammillary-type models describing the anomalous dynamics of exchange of concentrations between compartments at, constant input rates, power-law type, and in the form of oral doses at given (discrete) times. We have developed a general analysis strategy for these models, in which we have found closed-form analytical solutions written in terms of the multivariate Mittag-Leffler function. Numerical simulations have been performed using our formulas, with parameters from the literature.

Keywords: Fractional-order mammillary-type models; Caputo fractional derivative (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000656

DOI: 10.1016/j.chaos.2023.113164

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