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arXiv · 2501.13119

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

Marzia Bisi·Maria Groppi·Giorgio Martalò·Romina Travaglini
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Abstract

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.

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Marzia Bisi, Maria Groppi, Giorgio Martalò, Romina Travaglini. 2025-01-20. Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis. https://doi.org/10.1007/s00285-025-02282-1

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