- Journal of Mathematical Sciences and Modelling
- Vol: 6 Issue: 1
- Set-Valued Control of Cancer by Combination Chemotherapy
Set-Valued Control of Cancer by Combination Chemotherapy
Authors : Amine Moustafid
Pages : 7-16
Doi:10.33187/jmsm.1069549
View : 9 | Download : 3
Publication Date : 2023-04-30
Article Type : Research
Abstract :A mathematical model of ordinary differential equations is considered to analyze the pharmacokinetics of multi-chemotherapeutic drugs and their pharmacodynamic effects on homogeneous tumors. Set-valued analysis is used to design protocols of drug administration and applied to decrease tumor density under their carrying capacity of Gompertz growth and converge to zero.Keywords : Chemotherapy, Set-valued analysis, Viability theory.