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arXiv · 2602.24032

Analysis of a degenerate parabolic system for cell dynamics in intestinal crypts

Ahmad El Hajj·Mohamad El Hajj Chehade·Antoine Zurek
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Abstract

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.

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Ahmad El Hajj, Mohamad El Hajj Chehade, Antoine Zurek. 2026-02-27. Analysis of a degenerate parabolic system for cell dynamics in intestinal crypts. https://arxiv.org/abs/2602.24032

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