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arXiv · 2502.17098

Global existence of weak solutions to a cell migration and (de)differentiation model with double haptotaxis in the context of tissue regeneration

Nishith Mohan·Christina Surulescu
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Abstract

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.

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Nishith Mohan, Christina Surulescu. 2025-02-24. Global existence of weak solutions to a cell migration and (de)differentiation model with double haptotaxis in the context of tissue regeneration. https://doi.org/10.1016/j.nonrwa.2025.104516

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