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

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-10-15 DOI:10.1016/j.nonrwa.2025.104516

Nishith Mohan, Christina Surulescu

引用次数: 0

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 a 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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在组织再生的背景下，具有双重趋向性的细胞迁移和（去）分化模型的弱解的全局存在

我们研究了间充质干细胞和软骨细胞在纤维被透明质包裹的支架中的扩散和（去）分化模型。软骨细胞产生新的细胞外基质，其与透明质一起作为干细胞迁移的触致性线索。证明了具有双趋向性的交叉扩散系统弱解的整体存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.