Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917186904260608 |
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| author | Bisi, Marzia Groppi, Maria Martalò, Giorgio Travaglini, Romina |
| author_facet | Bisi, Marzia Groppi, Maria Martalò, Giorgio Travaglini, Romina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis Bisi, Marzia Groppi, Maria Martalò, Giorgio Travaglini, Romina Quantitative Methods 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. |
| title | Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis |
| topic | Quantitative Methods |
| url | https://arxiv.org/abs/2501.13119 |