An application of the Grünwald-Letinkov fractional derivative to a study of drug diffusion in pharmacokinetic compartmental models

DOI10.1007/978-3-031-35715-2_1OpenAlexW4385884402MaRDI QIDQ6196911

Tahmineh Azizi

Publication date: 15 March 2024

Published in: Mathematical Models and Computer Simulations for Biomedical Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-35715-2_1

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent history of fractional calculus
• Fractional-order delayed predator-prey systems with Holling type-II functional response
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion.
• On fractional SIRC model with \textit{Salmonella} bacterial infection
• A methodology for performing global uncertainty and sensitivity analysis in systems biology
• Approximation of Fractional--Order Chemostat Model with Nonstandard Finite Difference Scheme
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative

This page was built for publication: An application of the Grünwald-Letinkov fractional derivative to a study of drug diffusion in pharmacokinetic compartmental models