Coarse-graining the vertex model and its response to shear

Tissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the active vertex model exist and yield reasonable agreement with experimental observations such as tissue fluidization or fingering. However, a good...

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Detalles Bibliográficos
Autores: Triguero-Platero, Gloria, Ziebert, Falko, Bonilla, Luis L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/348864
Acceso en línea:http://hdl.handle.net/10261/348864
http://arxiv.org/abs/2302.04111v1
Access Level:acceso abierto
Palabra clave:Physics - Soft Condensed Matter
Quantitative Biology - Tissues and Organs
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spelling Coarse-graining the vertex model and its response to shearTriguero-Platero, GloriaZiebert, FalkoBonilla, Luis L.Physics - Soft Condensed MatterPhysics - Soft Condensed MatterQuantitative Biology - Tissues and OrgansTissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the active vertex model exist and yield reasonable agreement with experimental observations such as tissue fluidization or fingering. However, a good and well-founded continuum description for tissues remains to be developed. In this work, we derive a macroscopic description for a two-dimensional cell monolayer by coarse-graining the vertex model through the Poisson bracket approach. We obtain equations for cell density, velocity, and the cellular shape tensor. We then study the homogeneous steady states, their stability (which coincides with thermodynamic stability), and especially their behavior under an externally applied shear. Our results contribute to elucidate the interplay between flow and cellular shape. The obtained macroscopic equations present a good starting point for adding cell motion, morphogenetic, and other biologically relevant processes.This work has been supported by the FEDER/Ministerio de Ciencia, Innovación y Universidades–Agencia Estatal de Investigación Grant No. PID2020-112796RB-C22, by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation). F.Z. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germanys Excellence Strategy EXC 2181/1 - 390900948 (the Heidelberg STRUCTURES Excellence Cluster).Peer reviewedAmerican Physical SocietyEuropean CommissionMinisterio de Ciencia, Innovación y Universidades (España)Agencia Estatal de Investigación (España)Comunidad de MadridGerman Research FoundationUniversidad Carlos III de MadridTriguero-Platero, Gloria [0000-0002-0284-1765]Ziebert, Falko [0000-0001-6332-7287]Bonilla, Luis L. [0000-0002-7687-8595]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202420242023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/348864http://arxiv.org/abs/2302.04111v1reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-112796RB-C22The underlying dataset has been published as supplementary material of the article in the publisher platform at https://doi.org/10.1103/PhysRevE.108.044118https://doi.org/10.1103/PhysRevE.108.044118Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3488642026-05-22T06:33:51Z
dc.title.none.fl_str_mv Coarse-graining the vertex model and its response to shear
title Coarse-graining the vertex model and its response to shear
spellingShingle Coarse-graining the vertex model and its response to shear
Triguero-Platero, Gloria
Physics - Soft Condensed Matter
Physics - Soft Condensed Matter
Quantitative Biology - Tissues and Organs
title_short Coarse-graining the vertex model and its response to shear
title_full Coarse-graining the vertex model and its response to shear
title_fullStr Coarse-graining the vertex model and its response to shear
title_full_unstemmed Coarse-graining the vertex model and its response to shear
title_sort Coarse-graining the vertex model and its response to shear
dc.creator.none.fl_str_mv Triguero-Platero, Gloria
Ziebert, Falko
Bonilla, Luis L.
author Triguero-Platero, Gloria
author_facet Triguero-Platero, Gloria
Ziebert, Falko
Bonilla, Luis L.
author_role author
author2 Ziebert, Falko
Bonilla, Luis L.
author2_role author
author
dc.contributor.none.fl_str_mv European Commission
Ministerio de Ciencia, Innovación y Universidades (España)
Agencia Estatal de Investigación (España)
Comunidad de Madrid
German Research Foundation
Universidad Carlos III de Madrid
Triguero-Platero, Gloria [0000-0002-0284-1765]
Ziebert, Falko [0000-0001-6332-7287]
Bonilla, Luis L. [0000-0002-7687-8595]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Physics - Soft Condensed Matter
Physics - Soft Condensed Matter
Quantitative Biology - Tissues and Organs
topic Physics - Soft Condensed Matter
Physics - Soft Condensed Matter
Quantitative Biology - Tissues and Organs
description Tissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the active vertex model exist and yield reasonable agreement with experimental observations such as tissue fluidization or fingering. However, a good and well-founded continuum description for tissues remains to be developed. In this work, we derive a macroscopic description for a two-dimensional cell monolayer by coarse-graining the vertex model through the Poisson bracket approach. We obtain equations for cell density, velocity, and the cellular shape tensor. We then study the homogeneous steady states, their stability (which coincides with thermodynamic stability), and especially their behavior under an externally applied shear. Our results contribute to elucidate the interplay between flow and cellular shape. The obtained macroscopic equations present a good starting point for adding cell motion, morphogenetic, and other biologically relevant processes.
publishDate 2023
dc.date.none.fl_str_mv 2023
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/348864
http://arxiv.org/abs/2302.04111v1
url http://hdl.handle.net/10261/348864
http://arxiv.org/abs/2302.04111v1
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-112796RB-C22
The underlying dataset has been published as supplementary material of the article in the publisher platform at https://doi.org/10.1103/PhysRevE.108.044118
https://doi.org/10.1103/PhysRevE.108.044118
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
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