Stochastic intracellular regulation can remove oscillations in a model of tissue growth.


Journal

Mathematical medicine and biology : a journal of the IMA
ISSN: 1477-8602
Titre abrégé: Math Med Biol
Pays: England
ID NLM: 101182345

Informations de publication

Date de publication:
15 12 2020
Historique:
received: 17 01 2019
revised: 28 03 2020
accepted: 19 06 2020
pubmed: 1 8 2020
medline: 27 8 2021
entrez: 1 8 2020
Statut: ppublish

Résumé

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of ordinary differential equations with bistable dynamics. Intracellular regulation and cell fate are controlled by the extracellular regulation through the number of differentiated cells. It is shown that the total cell number necessarily oscillates if the initial condition in the intracellular regulation is fixed. These oscillations can be suppressed if the initial condition is a random variable with a sufficiently large variation. Thus, the result of the work suggests a possible answer to the question about the role of stochasticity in the intracellular regulation.

Identifiants

pubmed: 32735317
pii: 5879256
doi: 10.1093/imammb/dqaa009
doi:

Substances chimiques

Intracellular Signaling Peptides and Proteins 0

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

551-568

Informations de copyright

© The Author(s) 2020. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Auteurs

M Banerjee (M)

Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India.

V Volpert (V)

Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France.
INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan, 43 Bd. du 11 Novembre 1918, 69200 Villeurbanne Cedex, France.
Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow 117198, Russian Federation.

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Classifications MeSH