Combined Direct and Indirect Control of Cancer Populations

A. Swierniak (Poland)

Keywords

Nonlinear control, optimization, stability, biomedicalapplications

Abstract

Models of combined antiangiogenic therapy (indirect control) and chemotherapy (direct control) of cancer are proposed and analyzed. The models are based on the idea proposed by Hahnfeldt et al. and the analysis has two goals: first of all we check stability of the equilibrium point of the models to find conditions leading to tumour eradication then we propose an optimization problem and discuss necessary conditions of its solution.

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