Set-Valued Control of Cancer by Combination Chemotherapy

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.