How does variability in cells aging and growth rates influence the malthus parameter? - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Kinetic and Related Models Year : 2017

How does variability in cells aging and growth rates influence the malthus parameter?

Abstract

The aim of this study is to compare the growth speed of different populations of cells measured by their Malthus parameter. We focus on both the age-structured and size-structured equations. A first population (of reference) is composed of cells all aging or growing at the same rate $v¯$. A second population (with variability) is composed of cells each aging or growing at a rate v drawn according to a non-degenerated distribution $ρ$ with mean $v¯$. In a first part, analytical answers are provided for the age-structured model. In a second part, numerical answers based on stochastic simulations are derived for the size-structured model. It appears numerically that for experimentally plausible division rates the population with variability proliferates more slowly than the population of reference. The decrease in the Malthus parameter we measure, around 2% for distributions $ρ$ with realistic coefficients of variations around 15-20%, is determinant since it controls the exponential growth of the whole population.
Fichier principal
Vignette du fichier
OLIVIERrev2.pdf (602.94 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01274529 , version 1 (15-02-2016)
hal-01274529 , version 2 (28-02-2017)

Identifiers

Cite

Adélaïde Olivier. How does variability in cells aging and growth rates influence the malthus parameter?. Kinetic and Related Models , 2017, 10 (2), pp.481-512. ⟨10.3934/krm.2017019⟩. ⟨hal-01274529v2⟩
588 View
290 Download

Altmetric

Share

Gmail Facebook X LinkedIn More