Mathematica Eterna
Open Access

Abstract

Chemotherapy of a tumor by optimal control approach

Mouhamadou Ngom and Idrissa Ly and Diaraf seck

We study a model of tumor which grows or shrinks due the proliferation of cells which depends on nutrient concentration σ modeled by a diffusion equation. The tumor is assumed to be spherical shape and its boundary is unknown. From optimal control, we show some results and optimal control lying to the evolution of tumor. We use also some tools in shape and topological optimization to detect the evolution of the tumor and its shape and we do some numerical simulations.