A Chemotherapy-Diffusion Model for the Cancer Treatment and Initial Dose Control

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 3, 2008, pp.395-410
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.3.395

Title & Authors

A Chemotherapy-Diffusion Model for the Cancer Treatment and Initial Dose Control

Abdel-Gawad, Hamdy Ibrahim; Saad, Khaled Mmohamed;

Abdel-Gawad, Hamdy Ibrahim; Saad, Khaled Mmohamed;

Abstract

A one site chemotherapy agent-diffusion model is proposed which accounts for diffusion of chemotherapy agent, normal and cancer cells. It is shown that, by controlling the initial conditions, consequently an initial dose of the chemotherapy agent, the system is guaranteed to evolute towards a target equilibrium state. Or, growth of the normal cells occurs against decay of the cancer cells. Effects of diffusion of chemotherapy-agent and cells are investigated through numerical computations of the concentrations in square and triangular cancer sites.

Keywords

Chemotherapy cancer treatment;a diffusion model;initial dose control;an approach to solutions of coupled diffusion equations;

Language

English

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