Open AccessChemotactic effects in reaction-diffusion equations for inflammation
Author(s) -
Cordula Reisch,
Dirk Langemann
Publication year - 2019
Publication title -
journal of biological physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 46
eISSN - 1573-0689
pISSN - 0092-0606
DOI - 10.1007/s10867-019-09527-3
Subject(s) - chemotaxis , reaction–diffusion system , immune system , diffusion , inflammation , population , fourier transform , immunology , mathematics , biological system , biology , physics , medicine , mathematical analysis , thermodynamics , receptor , biochemistry , environmental health
Predator-prey systems are used to model time-dependent virus and lymphocyte population during a liver infection and to discuss the influence of chemotactic behavior on the chronification tendency of such infections. Therefore, a model family of reaction-diffusion equations is presented, and the long-term behavior of the solutions is estimated by a critical value containing the reaction strength, the diffusion rate, and the extension of the liver domain. Fourier techniques are applied to evaluate the influence of chemotactic behavior of the immune response to the long-term behavior of locally linearized models. It turns out that the chemotaxis is a subordinated influence with respect to the chronification of liver infections.