Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix
We formulate an active-gel theory for multicellular migration in the extra-cellular matrix (ECM). The cells are modeled as an active, polar solvent, and the ECM as a viscoelastic solid. Our theory enables to analyze the dynamic reciprocity between the migrating cells and their environment in terms o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac78fc |
| _version_ | 1797748484988731392 |
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| author | Ram M Adar Jean-François Joanny |
| author_facet | Ram M Adar Jean-François Joanny |
| author_sort | Ram M Adar |
| collection | DOAJ |
| description | We formulate an active-gel theory for multicellular migration in the extra-cellular matrix (ECM). The cells are modeled as an active, polar solvent, and the ECM as a viscoelastic solid. Our theory enables to analyze the dynamic reciprocity between the migrating cells and their environment in terms of distinct relative forces and alignment mechanisms. We analyze the linear stability of polar cells migrating homogeneously in the ECM. Our theory predicts that, as a consequence of cell-matrix alignment, contractile cells migrate homogeneously for small wave vectors, while sufficiently extensile cells migrate in domains. Homogeneous cell migration of both extensile and contractile cells may be unstable for larger wave vectors, due to active forces and the alignment of cells with their concentration gradient. These mechanisms are stabilized by cellular alignment to the migration flow and matrix stiffness. They are expected to be suppressed entirely for rigid matrices with elastic moduli of order 10 kPa. Our theory should be useful in analyzing multicellular migration and ECM patterning at the mesoscopic scale. |
| first_indexed | 2024-03-12T16:05:28Z |
| format | Article |
| id | doaj.art-4b9cf037db6045d0b44f633dfdc4f5a3 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:05:28Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4b9cf037db6045d0b44f633dfdc4f5a32023-08-09T14:21:27ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124707300110.1088/1367-2630/ac78fcActive-gel theory for multicellular migration of polar cells in the extra-cellular matrixRam M Adar0https://orcid.org/0000-0002-6799-6135Jean-François Joanny1https://orcid.org/0000-0001-6966-3222Collège de France , 11 place Marcelin Berthelot, 75005 Paris, France; Laboratoire Physico-Chimie Curie, Institut Curie, Centre de Recherche, Centre National de la Recherche Scientifique, Paris Sciences et Lettres Research University , 75005 Paris, France; Université Pierre et Marie Curie , Sorbonne Universités, 75248 Paris, FranceCollège de France , 11 place Marcelin Berthelot, 75005 Paris, France; Laboratoire Physico-Chimie Curie, Institut Curie, Centre de Recherche, Centre National de la Recherche Scientifique, Paris Sciences et Lettres Research University , 75005 Paris, France; Université Pierre et Marie Curie , Sorbonne Universités, 75248 Paris, FranceWe formulate an active-gel theory for multicellular migration in the extra-cellular matrix (ECM). The cells are modeled as an active, polar solvent, and the ECM as a viscoelastic solid. Our theory enables to analyze the dynamic reciprocity between the migrating cells and their environment in terms of distinct relative forces and alignment mechanisms. We analyze the linear stability of polar cells migrating homogeneously in the ECM. Our theory predicts that, as a consequence of cell-matrix alignment, contractile cells migrate homogeneously for small wave vectors, while sufficiently extensile cells migrate in domains. Homogeneous cell migration of both extensile and contractile cells may be unstable for larger wave vectors, due to active forces and the alignment of cells with their concentration gradient. These mechanisms are stabilized by cellular alignment to the migration flow and matrix stiffness. They are expected to be suppressed entirely for rigid matrices with elastic moduli of order 10 kPa. Our theory should be useful in analyzing multicellular migration and ECM patterning at the mesoscopic scale.https://doi.org/10.1088/1367-2630/ac78fcbiological physicscell migrationtissuesextra-cellular matrixactive matteractive gels |
| spellingShingle | Ram M Adar Jean-François Joanny Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix New Journal of Physics biological physics cell migration tissues extra-cellular matrix active matter active gels |
| title | Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix |
| title_full | Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix |
| title_fullStr | Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix |
| title_full_unstemmed | Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix |
| title_short | Active-gel theory for multicellular migration of polar cells in the extra-cellular matrix |
| title_sort | active gel theory for multicellular migration of polar cells in the extra cellular matrix |
| topic | biological physics cell migration tissues extra-cellular matrix active matter active gels |
| url | https://doi.org/10.1088/1367-2630/ac78fc |
| work_keys_str_mv | AT rammadar activegeltheoryformulticellularmigrationofpolarcellsintheextracellularmatrix AT jeanfrancoisjoanny activegeltheoryformulticellularmigrationofpolarcellsintheextracellularmatrix |