Global existence of weak solutions to a cell migration and (de)differentiation model with double haptotaxis in the context of tissue regeneration
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912681888317440 |
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| author | Mohan, Nishith Surulescu, Christina |
| author_facet | Mohan, Nishith Surulescu, Christina |
| contents | We study a model for the spread and (de)differentiation of mesenchymal stem cells and chondrocytes in a scaffold whose fibers are coated with hyaluron. The chondrocytes produce new extracellular matrix, which, together with hyaluron, serves as haptotactic cue for the stem cell migration. We prove global existence of weak solutions of the corresponding cross-diffusion system with double haptotaxis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17098 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global existence of weak solutions to a cell migration and (de)differentiation model with double haptotaxis in the context of tissue regeneration Mohan, Nishith Surulescu, Christina Analysis of PDEs 35K57, 35Q92, 35B45, 35D30 We study a model for the spread and (de)differentiation of mesenchymal stem cells and chondrocytes in a scaffold whose fibers are coated with hyaluron. The chondrocytes produce new extracellular matrix, which, together with hyaluron, serves as haptotactic cue for the stem cell migration. We prove global existence of weak solutions of the corresponding cross-diffusion system with double haptotaxis. |
| title | Global existence of weak solutions to a cell migration and (de)differentiation model with double haptotaxis in the context of tissue regeneration |
| topic | Analysis of PDEs 35K57, 35Q92, 35B45, 35D30 |
| url | https://arxiv.org/abs/2502.17098 |