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Why Is Evolution Important in Cancer and What Mathematics Should Be Used to Treat Cancer? Focus on Drug Resistance

In: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author

Listed:
  • Luís Almeida

    (CNRS
    INRIA, Team Mamba
    Laboratoire Jacques-Louis Lions, UPMC, Sorbonne Universités)

  • Rebecca H. Chisholm

    (University of Melbourne, Melbourne School of Population and Global Health)

  • Jean Clairambault

    (INRIA, Team Mamba
    Laboratoire Jacques-Louis Lions, UPMC, Sorbonne Universités)

  • Tommaso Lorenzi

    (University of St Andrews, Department of Mathematics and Statistics)

  • Alexander Lorz

    (INRIA, Team Mamba
    Laboratoire Jacques-Louis Lions, UPMC, Sorbonne Universités
    CEMSE Division, King Abdullah University of Science and Technology)

  • Camille Pouchol

    (INRIA, Team Mamba
    Laboratoire Jacques-Louis Lions, UPMC, Sorbonne Universités)

  • Emmanuel Trélat

    (INRIA, Team Mamba
    INRIA, Team Cage)

Abstract

The clinical question of drug resistance in cancer, our initial motivation to study continuous models of adaptive cell population dynamics, leads naturally and more generally to consider the cancer disease itself from an evolutionary biology viewpoint, a consideration without which even the best targeted therapies will likely most often eventually fail. Among the challenging questions to mathematicians who tackle the task of understanding this disease and optimising its treatment are the representation of phenotypic heterogeneity of cancer cell populations and of their plasticity in response to anticancer drug insults. Such representation can be obtained using phenotype-structured models of healthy and cancer cell populations, and optimal control methods to optimise drug effects, with the perspective to implement them in the therapeutics of cancer, aiming at both avoiding the emergence of drug resistance in tumours and taking into account a constraint of limiting unwanted adverse effects to healthy tissues.

Suggested Citation

  • Luís Almeida & Rebecca H. Chisholm & Jean Clairambault & Tommaso Lorenzi & Alexander Lorz & Camille Pouchol & Emmanuel Trélat, 2018. "Why Is Evolution Important in Cancer and What Mathematics Should Be Used to Treat Cancer? Focus on Drug Resistance," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 107-120, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_8
    DOI: 10.1007/978-3-319-91092-5_8
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