标题： 从动力学理论和二维模式分析推导多发性硬化症的趋化模型 显示英文标题

标题： Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis

摘要： 本文提出了一类用于多发性硬化症的反应扩散方程。 这些模型是通过从适当的动能描述出发，考虑细胞之间的基本微观相互作用，采用扩散极限得到的。 在宏观层面，我们讨论了图灵不稳定性现象和二维图案形成的必要条件，其形状和稳定性通过弱非线性分析进行研究。 针对特定场景，提出了某些数值模拟，以确认并扩展理论结果。 显示英文摘要

摘要： In this paper, a class of reaction-diffusion equations for Multiple Sclerosis is presented. These models are derived by means of a diffusive limit starting from a proper kinetic description, taking account of the underlying microscopic interactions among cells. At the macroscopic level, we discuss the necessary conditions for Turing instability phenomena and the formation of two-dimensional patterns, whose shape and stability are investigated by means of a weakly nonlinear analysis. Some numerical simulations, confirming and extending theoretical results, are proposed for a specific scenario.