Vertex model instabilities for tissues subject to cellular activity or applied stresses
Author
dc.contributor.author
Pérez Verdugo, Fernanda
Author
dc.contributor.author
Joanny, Jean-Francois
Author
dc.contributor.author
Soto Bertrán, Rodrigo
Admission date
dc.date.accessioned
2021-05-06T22:54:54Z
Available date
dc.date.available
2021-05-06T22:54:54Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Phys Rev E . 2020 Nov;102(5-1):052604
es_ES
Identifier
dc.identifier.other
10.1103/PhysRevE.102.052604
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/179485
Abstract
dc.description.abstract
The vertex model is widely used to describe the dynamics of epithelial tissues, because of its simplicity and versatility and the direct inclusion of biophysical parameters. Here, it is shown that quite generally, when cells modify their equilibrium perimeter due to their activity, or the tissue is subject to external stresses, the tissue becomes unstable with deformations that couple pure shear or deviatoric modes, with rotation and expansion modes. For short times, these instabilities deform cells, increasing their ellipticity, while at longer times cells become nonconvex, indicating that the vertex model ceases to be a valid description for tissues under these conditions. The agreement between the analytic calculations performed for a regular hexagonal tissue and the simulations of disordered tissues is excellent due to the homogenization of the tissue at long wavelengths.
es_ES
Patrocinador
dc.description.sponsorship
Franco-Chilean EcosSud Collaborative Program
C16E03
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
CONICYT FONDECYT
1180791
Millennium Nucleus Physics of Active Matter of ANID (Chile)