Optimization of an in vitro chemotherapy to avoid resistant tumours
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.
Origine : Fichiers produits par l'(les) auteur(s)