Open AccessOptimal control of an Allen-Cahn model for tumor growth through supply of cytotoxic drugs
Author(s) -
Hawraa Alsayed,
Hussein Fakih,
Alain Miranville,
Ali Wehbe
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2022003
Subject(s) - cytotoxic t cell , optimal control , control (management) , control variable , drug , variable (mathematics) , chemistry , mathematics , biology , computer science , mathematical optimization , pharmacology , biochemistry , artificial intelligence , statistics , mathematical analysis , in vitro
Our aim in this paper is to study an optimal control problem for a tumor growth model. The state system couples an Allen-Cahn equation and a reaction diffusion equation that models the evolution of tumor in the presence of nutrient supply. Elimination of cancer cells via cytotoxic drug is considered and the concentration of the cytotoxic drug is represented as a control variable.