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Pré-Publication, Document De Travail Année : 2016

Optimization of an in vitro chemotherapy to avoid resistant tumours

Cécile Carrère

Résumé

Chemotherapy use against solid tumours often results in the resistance of the cancer cells to the molecule used. In this paper, we will set up and analyse a simple model for heterogeneous \emph{in vitro} tumours, consisting of cells that are sensitive (s) or resistant (r) to a certain drug: ds/dt (t)= \rho s(t) (1-(s(t)+mr(t))/K) - \alpha s(t) C(t) ; dr/dt (t)= \rho r(t) (1-(s(t)+mr(t))/K) - \beta s(t) r(t). We will then use this model to develop different protocols, that aim at reducing the tumour volume while preserving its heterogeneity. These drug administration schedules are determined through analysis of the system dynamics, and optimal control theory.
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Dates et versions

hal-01302003 , version 1 (26-04-2016)
hal-01302003 , version 2 (11-11-2016)

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  • HAL Id : hal-01302003 , version 1

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Cécile Carrère. Optimization of an in vitro chemotherapy to avoid resistant tumours. 2016. ⟨hal-01302003v1⟩
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