Article
Open Access
Pattern formation in a model of inflammation
1 Universite Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, Université Jean Monnet, ICJ UMR5208, 69622 Villeurbanne, France
2 Department of Computational and Quantitative Medicine, Division of Mathematical Oncology, City of Hope, Duarte, CA 91010, USA
3 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow 117198, Russian Federation
Abstract

Inflammation is the body's response to infection, injury, or other stimuli. Acute inflammation is a crucial component of the immune system's defense, aimed at eliminating infected or damaged cells and halting disease progression. A subtle interaction between pro- and anti-inflammatory processes determines its progression to inflammation resolution or to chronic inflammation. In this study, we propose a generic model of inflammation through a system of reaction-diffusion equations involving various inflammatory and anti-inflammatory cells and cytokines. We investigate the formation of patterns, determined by the emergence of Turing structures, through linear stability analysis and numerical simulations. These theoretical findings are further supported by observations of similar patterns in skin diseases.

Keywords

inflammation; modelling; pattern formation; Turing structures

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