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Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits

Alvarez Borges, Frank Ernesto; Carrillo, José; Clairambault, Jean (2021), Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits. https://basepub.dauphine.psl.eu/handle/123456789/22854

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PlasticityAlvarezCarrilloClairambault.pdf (1.126Mb)
Type
Document de travail / Working paper
External document link
https://hal.archives-ouvertes.fr/hal-03344894
Date
2021
Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSL
Published in
Paris
Pages
43
Metadata
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Author(s)
Alvarez Borges, Frank Ernesto
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Carrillo, José
Mathematical Institute [Oxford] [MI]
Clairambault, Jean
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Abstract (EN)
Confronted with the biological problem of managing plasticity in cell populations, which is in particular responsible for transient and reversible drug resistance in cancer, we propose a rationale consisting of an integro-differential and a reaction-advection-diffusion equation, the properties of which are studied theoretically and numerically. By using a constructive finite volume method, we show the existence and uniqueness of a weak solution and illustrate by numerical approximations and their simulations the capacity of the model to exhibit divergence of traits. This feature may be theoretically interpreted as describing a physiological step towards multicellularity in animal evolution and, closer to present-day clinical challenges in oncology, as a possible representation of bet hedging in cancer cell populations. Keywords Structured population • Plasticity • Dimorphism • Finite Volume Method 1 Introduction: biological background One of the main theories explaining the origins of cancer states that the hallmark capabilities of cancer are based on latent functions already existing in the genome of normal human cells, and that cancer represents a reversion
Subjects / Keywords
structured population; plasticity; dimorphism; finite volume method

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