1. Mathematical modelling of cancer growth and drug treatments: taking into account cell population heterogeneity and plasticity
- Author
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Clairambault, Jean, Modelling and Analysis for Medical and Biological Applications (MAMBA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Silviu-Iulian Niculescu, Clairambault, Jean, Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), and Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)
- Subjects
[SDV] Life Sciences [q-bio] ,MSC 35B40, 35G92, 49J20, 92C50 ,[SDV.CAN] Life Sciences [q-bio]/Cancer ,[SDV]Life Sciences [q-bio] ,[SDV.BA]Life Sciences [q-bio]/Animal biology ,[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] ,[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC] ,[SDV.CAN]Life Sciences [q-bio]/Cancer ,[MATH] Mathematics [math] ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP] ,[MATH]Mathematics [math] - Abstract
Version v2 après acceptation du document par la conférence de la prépublication hal-03938311; International audience; Mathematical models of cancer growth and evolution of cancer cell characteristics, aka traits or phenotypes, together with optimisation and optimal control methods to contain them, in the framework of adaptive dynamics of cell populations, are presented. They take into account the heterogeneity of cancer cell populations, i.e., their biological variability, and their intrinsic plasticity, i.e., their nongenetic instability that allows them to quickly adapt to changing environments. The presented vision of the cancer disease, which is specific to multicellular organisms, relies on a relatively novel vision, consistent with a billion-year evolutionary perspective. Based on recent contributions from philosophy of cancer, these mathematical models aim at designing theoretical therapeutic strategies to simultaneously contain tumour progression and limit adverse events of drugs to healthy cell populations.
- Published
- 2023