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arXiv 2607.18978math.DS

表征mdx小鼠模型中肌肉再生的动力学

Characterizing the Dynamics of Muscle Regeneration in the mdx Mouse Model

Elena Scibona, Davide Carbone, Lamberto Rondoni, Abramo Agosti

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中文总结 AI 辅助

探索mdx小鼠骨骼肌免疫反应模型,基于文献描述组织及免疫细胞对损伤反应,扩展原分析突出系统动力学特性,修改方程纳入扩散项,通过数值研究一、二维情况下扩散影响及系统对局部损伤的反应。

中文摘要 AI 辅助

在这项工作中,我们探索了mdx小鼠骨骼肌中的免疫反应模型,mdx小鼠是研究杜兴氏肌肉萎缩症的首选动物模型。所研究的系统基于现有文献,描述了组织及其内部免疫细胞对外部损伤的反应,特别关注再生过程。这项工作扩展了原论文作者的分析,突出了该系统有趣的动力学特性,尤其是长期行为和对初始条件的依赖性。然后对原始方程进行修改,纳入免疫细胞的扩散项。在一维和二维情况下对系统动力学进行了数值研究。具体而言,我们研究了各种边界条件下扩散的影响以及系统对局部损伤的反应。

英文摘要

In this work, we explore a model of immune response in the skeletal muscle of the mdx mouse, the preferred animal model for studying Duchenne Muscular Dystrophy. The system studied is based on existing literature and describes the reaction of the tissue, and of the immune cells within it, to external damage, focusing specifically on the regeneration process. This work extends the analysis conducted by the authors of the original paper, highlighting interesting dynamical properties of the system, particularly in terms of longterm behavior and dependence on initial conditions. A modification is then introduced to the original equations, incorporating a diffusion term for immune cells. The dynamics of the system is numerically investigated in both the one-dimensional and two-dimensional cases. Specifically, we investigate the effect of diffusion under various boundary conditions, and the system's response to localized damage.

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