Analysis of a degenerate parabolic system for cell dynamics in intestinal crypts
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912930906243072 |
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| author | Hajj, Ahmad El Chehade, Mohamad El Hajj Zurek, Antoine |
| author_facet | Hajj, Ahmad El Chehade, Mohamad El Hajj Zurek, Antoine |
| contents | In this work, we study a system of degenerate parabolic equations modeling the dynamics of multiple cell populations in intestinal crypts. The model describes cell division, differentiation, and migration through a strongly coupled system of reaction-cross-diffusion equations with degenerate diffusion. By working with initial data in BV, we first consider a regularized form of the system and establish uniform BV estimates. Using these bounds, we then pass to the limit to obtain the existence of weak solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24032 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis of a degenerate parabolic system for cell dynamics in intestinal crypts Hajj, Ahmad El Chehade, Mohamad El Hajj Zurek, Antoine Analysis of PDEs In this work, we study a system of degenerate parabolic equations modeling the dynamics of multiple cell populations in intestinal crypts. The model describes cell division, differentiation, and migration through a strongly coupled system of reaction-cross-diffusion equations with degenerate diffusion. By working with initial data in BV, we first consider a regularized form of the system and establish uniform BV estimates. Using these bounds, we then pass to the limit to obtain the existence of weak solutions. |
| title | Analysis of a degenerate parabolic system for cell dynamics in intestinal crypts |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.24032 |