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UID:992@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151215T110000
DTEND;TZID=Europe/Paris:20151215T120000
DTSTAMP:20151130T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/control-of-a-heterogeneous-popu
 lation-of-cancerous-cells/
SUMMARY: (...): Control of a heterogeneous population of cancerous cells.
DESCRIPTION:: We propose to present a mathematical model of heterogeneous t
 umor growth based on experiments by M. Carré. This model is a competition
  ODE model and takes into account tumor cells sensitive or resistant to ch
 emotherapy. The originality of the model relies in the control of the resi
 stant cells by the sensitive cells when the chemotherapy only acts on the 
 sensitive cells.First we prove that this simple model is able to simulate 
 various situations that M. Carré has experimented in vitro. Specially met
 ronomic (i.e. low-dose) chemotherapies are more efficient than the classic
 al Maximum Tolerated Dose treatment. This confirms the hypothesis of M. Ca
 rré that metronomic therapy take better account of the complex relations 
 of sensitive and resistant cells.Second\, we study optimal treatments to c
 ontrol the global size of the tumor. Such optimal control problems can lea
 d to singular controls of the tumor size. These mathematical results have 
 to be confirmed by in vitro experiments\, but this work will help in under
 standing the mode of action of metronomic chemotherapy and thus in calibra
 ting them.Webpage
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20151025T020000
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