Cell migration in complex environments: chemotaxis and topographical obstacles
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 d...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2020/01/proc206712.pdf |
| _version_ | 1797971079566721024 |
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| author | Cucchi Alessandro Etchegaray Christèle Meunier Nicolas Navoret Laurent Sabbagh Lamis |
| author_facet | Cucchi Alessandro Etchegaray Christèle Meunier Nicolas Navoret Laurent Sabbagh Lamis |
| author_sort | Cucchi Alessandro |
| collection | DOAJ |
| description | 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]. |
| first_indexed | 2024-04-11T03:27:02Z |
| format | Article |
| id | doaj.art-837000fed8a948ef997fd4a8f9543c56 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T03:27:02Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-837000fed8a948ef997fd4a8f9543c562023-01-02T07:21:20ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592020-01-016719120910.1051/proc/202067012proc206712Cell migration in complex environments: chemotaxis and topographical obstaclesCucchi Alessandro0Etchegaray Christèle1Meunier Nicolas2Navoret Laurent3Sabbagh Lamis4MAP5, Université Paris DescartesINRIA, Institut de Mathématiques de BordeauxMAP5, Université Paris Descartes, Paris, & LaMME, Université Évry-Val d’EssonneInstitut de Recherche Mathématique Avancée, Université de StrasbourgInstitut Montpelliérain Alexander Grothendieck, CNRS, Université de MontpellierCell 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].https://www.esaim-proc.org/articles/proc/pdf/2020/01/proc206712.pdf |
| spellingShingle | Cucchi Alessandro Etchegaray Christèle Meunier Nicolas Navoret Laurent Sabbagh Lamis Cell migration in complex environments: chemotaxis and topographical obstacles ESAIM: Proceedings and Surveys |
| title | Cell migration in complex environments: chemotaxis and topographical obstacles |
| title_full | Cell migration in complex environments: chemotaxis and topographical obstacles |
| title_fullStr | Cell migration in complex environments: chemotaxis and topographical obstacles |
| title_full_unstemmed | Cell migration in complex environments: chemotaxis and topographical obstacles |
| title_short | Cell migration in complex environments: chemotaxis and topographical obstacles |
| title_sort | cell migration in complex environments chemotaxis and topographical obstacles |
| url | https://www.esaim-proc.org/articles/proc/pdf/2020/01/proc206712.pdf |
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