A one-dimensional three-state run-and-tumble ...
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Article dans une revue scientifique: Article original
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Title :
A one-dimensional three-state run-and-tumble model with a ‘cell cycle’
Author(s) :
Breoni, Davide [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Schwarzendahl, Fabian Jan [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Blossey, Ralf [Auteur]
Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Löwen, Hartmut [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Schwarzendahl, Fabian Jan [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Blossey, Ralf [Auteur]

Unité de Glycobiologie Structurale et Fonctionnelle (UGSF) - UMR 8576
Löwen, Hartmut [Auteur]
Heinrich Heine Universität Düsseldorf = Heinrich Heine University [Düsseldorf]
Journal title :
The European Physical Journal E
Abbreviated title :
Eur. Phys. J. E
Volume number :
45
Publisher :
Springer Science and Business Media LLC
Publication date :
2022-10
ISSN :
2190-5444
HAL domain(s) :
Chimie/Chimie théorique et/ou physique
English abstract : [en]
We study a one-dimensional three-state run-and-tumble model motivated by the bacterium Caulobacter crescentus which displays a cell cycle between two non-proliferating mobile phases and a proliferating sedentary phase. Our ...
Show more >We study a one-dimensional three-state run-and-tumble model motivated by the bacterium Caulobacter crescentus which displays a cell cycle between two non-proliferating mobile phases and a proliferating sedentary phase. Our model implements kinetic transitions between the two mobile and one sedentary states described in terms of their number densities, where mobility is allowed with different running speeds in forward and backward direction. We start by analyzing the stationary states of the system and compute the mean and squared-displacements for the distribution of all cells, as well as for the number density of settled cells. The latter displays a surprising super-ballistic scaling ∼t3 at early times. Including repulsive and attractive interactions between the mobile cell populations and the settled cells, we explore the stability of the system and employ numerical methods to study structure formation in the fully nonlinear system. We find traveling waves of bacteria, whose occurrence is quantified in a non-equilibrium state diagram.Show less >
Show more >We study a one-dimensional three-state run-and-tumble model motivated by the bacterium Caulobacter crescentus which displays a cell cycle between two non-proliferating mobile phases and a proliferating sedentary phase. Our model implements kinetic transitions between the two mobile and one sedentary states described in terms of their number densities, where mobility is allowed with different running speeds in forward and backward direction. We start by analyzing the stationary states of the system and compute the mean and squared-displacements for the distribution of all cells, as well as for the number density of settled cells. The latter displays a surprising super-ballistic scaling ∼t3 at early times. Including repulsive and attractive interactions between the mobile cell populations and the settled cells, we explore the stability of the system and employ numerical methods to study structure formation in the fully nonlinear system. We find traveling waves of bacteria, whose occurrence is quantified in a non-equilibrium state diagram.Show less >
Language :
Anglais
Audience :
Internationale
Popular science :
Non
Administrative institution(s) :
Université de Lille
CNRS
CNRS
Research team(s) :
Computational Molecular Systems Biology
Submission date :
2023-01-11T10:53:00Z
2023-01-13T09:07:46Z
2023-01-13T09:07:46Z
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