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1 I2M - Institut de Mathématiques de Marseille

Abstract : Chemotherapy use against solid tumours often results in the resistance of the cancercells to the molecule used. In this paper, we will set up and analyse an ODE model forheterogeneous in vitro tumours, consisting of cells that are sensitive or resistant to a certaindrug. We will then use this model to develop different protocols, that aim at reducing thetumour volume while preserving its heterogeneity. These drug administration schedules aredetermined through analysis of the system dynamics, and optimal control theory.

Keywords : Mathematical model Chemotherapy Metronomics Optimal control





Autor: Cécile Carrère -

Fuente: https://hal.archives-ouvertes.fr/



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