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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 (2022), Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits, Journal of Mathematical Biology, 85, p. 43. 10.1007/s00285-022-01820-5

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PlasticityAlvarezCarrilloClairambault.pdf (1.126Mb)
Type
Article accepté pour publication ou publié
Date
2022
Journal name
Journal of Mathematical Biology
Volume
85
Publisher
Springer
Published in
Paris
Pages
43
Publication identifier
10.1007/s00285-022-01820-5
Metadata
Show full item record
Author(s)
Alvarez Borges, Frank Ernesto
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Carrillo, José
UNIVERSITY OF OXFORD GBR
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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