Simulating Organogenesis in COMSOL Multiphysics: Tissue Patterning with Directed Cell Migration
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911301101420544 |
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| author | Mederacke, Malte Yu, Chengyou Vetter, Roman Iber, Dagmar |
| author_facet | Mederacke, Malte Yu, Chengyou Vetter, Roman Iber, Dagmar |
| contents | We present a COMSOL Multiphysics implementation of a continuum model for directed cell migration, a key mechanism underlying tissue self-organization and morphogenesis. The model is formulated as a partial integro-differential equation (PIDE), combining random motility with non-local, density-dependent guidance cues to capture phenomena such as cell sorting and aggregation. Our framework supports simulations in one, two, and three dimensions, with both zero-flux and periodic boundary conditions, and can be reformulated in a Lagrangian setting to efficiently handle tissue growth and domain deformation. We demonstrate that COMSOL Multiphysics enables a flexible and accessible implementation of PIDEs, providing a generalizable platform for studying collective cell behavior and pattern formation in complex biological contexts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08930 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simulating Organogenesis in COMSOL Multiphysics: Tissue Patterning with Directed Cell Migration Mederacke, Malte Yu, Chengyou Vetter, Roman Iber, Dagmar Biological Physics Pattern Formation and Solitons Computational Physics We present a COMSOL Multiphysics implementation of a continuum model for directed cell migration, a key mechanism underlying tissue self-organization and morphogenesis. The model is formulated as a partial integro-differential equation (PIDE), combining random motility with non-local, density-dependent guidance cues to capture phenomena such as cell sorting and aggregation. Our framework supports simulations in one, two, and three dimensions, with both zero-flux and periodic boundary conditions, and can be reformulated in a Lagrangian setting to efficiently handle tissue growth and domain deformation. We demonstrate that COMSOL Multiphysics enables a flexible and accessible implementation of PIDEs, providing a generalizable platform for studying collective cell behavior and pattern formation in complex biological contexts. |
| title | Simulating Organogenesis in COMSOL Multiphysics: Tissue Patterning with Directed Cell Migration |
| topic | Biological Physics Pattern Formation and Solitons Computational Physics |
| url | https://arxiv.org/abs/2509.08930 |