Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis
Quantitative Methods
2026-01-07 v3
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.
Keywords
Cite
@article{arxiv.2501.13119,
title = {Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis},
author = {Marzia Bisi and Maria Groppi and Giorgio Martalò and Romina Travaglini},
journal= {arXiv preprint arXiv:2501.13119},
year = {2026}
}