Simulation of tumor density evolution upon chemotherapy alone or combined with a treatment to reduce lactate levels

Author:

Raad Hussein1,Allery Cyrille1,Cherfils Laurence1,Guillevin Carole23,Miranville Alain2,Sookiew Thomas23,Pellerin Luc456,Guillevin Rémy23

Affiliation:

1. La Rochelle Université, Laboratoire des Sciences de l'Ingénieur pour l'Environnement, UMR CNRS 7356, Avenue Michel Crépeau, F-17042 La Rochelle Cedex 1, France

2. Laboratoire I3M et Laboratoire de Mathématiques et Applications, Université de Poitiers, UMR CNRS 7348, Equipe DACTIM-MIS, Site du Futuroscope - Téléport 2, 11 Boulevard Marie et Pierre Curie, 86073 Poitiers Cedex 9, France

3. CHU de Poitiers, service de radiologie, 2 rue de la Milétrie, 86000 Poitiers, France

4. Inserm U1313, 2 rue de la Milétrie, 86000 Poitiers, France

5. Université de Poitiers, 2 rue de la Milétrie, 86000 Poitiers, France

6. CHU de Poitiers, service de biochimie, 2 rue de la Milétrie, 86000 Poitiers, France

Abstract

<abstract><p>In this study, we introduced a mathematical model mimicking as much as possible the evolutions and interactions between glioma and lactate in the brain, in order to test different therapies and administration protocols. We simulated both glioma cell density evolution and lactate concentration, and considered two therapies: chemotherapy and a treatment targeting lactate production. Three different protocols for administrating the therapies were tested. We compared the efficiency of the combined therapies, depending on the administration protocols and the dosage of the drugs, in order to evaluate the importance of controlling lactate production. Results show that the use of an agent to reduce lactate concentration permits one to significantly reduce the dose of the chemotherapeutic drug.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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