Cell migration in complex environments: chemotaxis and topographical obstacles
ESAIM. Proceedings, Tome 67 (2020), pp. 191-209
Cet article a éte moissonné depuis la source EDP Sciences
Cell migration is a complex phenomenon that plays an important role in many biological processes. Our aim here is to build and study models of reduced complexity to describe some aspects of cell motility in tissues. Precisely, we study the impact of some biochemical and mechanical cues on the cell dynamics in a 2D framework. For that purpose, we model the cell as an active particle with a velocity solution to a particular Stochastic Differential Equation that describes the intracellular dynamics as well as the presence of some biochemical cues. In the 1D case, an asymptotic analysis puts to light a transition between migration dominated by the cell’s internal activity and migration dominated by an external signal. In a second step, we use the contact algorithm introduced in [15,18] to describe the cell dynamics in an environment with obstacles. In the 2D case, we study how a cell submitted to a constant directional force that mimics the action of chemoattractant, behaves in the presence of obstacles. We numerically observe the existence of a velocity value that the cell can not exceed even if the directional force intensity increases. We find that this threshold value depends on the number of obstacles. Our result confirms a result that was already observed in a discrete framework in [3,4].
Affiliations des auteurs :
Alessandro Cucchi 1 ; Christèle Etchegaray 2 ; Nicolas Meunier 3 ; Laurent Navoret 4 ; Lamis Sabbagh 5
@article{EP_2020_67_a12,
author = {Alessandro Cucchi and Christ\`ele Etchegaray and Nicolas Meunier and Laurent Navoret and Lamis Sabbagh},
title = {Cell migration in complex environments: chemotaxis and topographical obstacles},
journal = {ESAIM. Proceedings},
pages = {191--209},
year = {2020},
volume = {67},
doi = {10.1051/proc/202067012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202067012/}
}
TY - JOUR AU - Alessandro Cucchi AU - Christèle Etchegaray AU - Nicolas Meunier AU - Laurent Navoret AU - Lamis Sabbagh TI - Cell migration in complex environments: chemotaxis and topographical obstacles JO - ESAIM. Proceedings PY - 2020 SP - 191 EP - 209 VL - 67 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/202067012/ DO - 10.1051/proc/202067012 LA - en ID - EP_2020_67_a12 ER -
%0 Journal Article %A Alessandro Cucchi %A Christèle Etchegaray %A Nicolas Meunier %A Laurent Navoret %A Lamis Sabbagh %T Cell migration in complex environments: chemotaxis and topographical obstacles %J ESAIM. Proceedings %D 2020 %P 191-209 %V 67 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/202067012/ %R 10.1051/proc/202067012 %G en %F EP_2020_67_a12
Alessandro Cucchi; Christèle Etchegaray; Nicolas Meunier; Laurent Navoret; Lamis Sabbagh. Cell migration in complex environments: chemotaxis and topographical obstacles. ESAIM. Proceedings, Tome 67 (2020), pp. 191-209. doi: 10.1051/proc/202067012
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