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Chemotactic effects in reaction-diffusion equations for inflammation
- Source :
- J Biol Phys
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- 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.
- Subjects :
- 0301 basic medicine
Population
Biophysics
Inflammation
Models, Biological
01 natural sciences
Diffusion
03 medical and health sciences
0103 physical sciences
Reaction–diffusion system
medicine
education
Molecular Biology
Original Paper
education.field_of_study
Liver infection
010304 chemical physics
Chemistry
Chemotaxis
Cell Biology
Atomic and Molecular Physics, and Optics
030104 developmental biology
Liver
Linear Models
medicine.symptom
Subjects
Details
- ISSN :
- 15730689 and 00920606
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Journal of Biological Physics
- Accession number :
- edsair.doi.dedup.....f2bc14c8fa52dfc467f3fc5515ed0857
- Full Text :
- https://doi.org/10.1007/s10867-019-09527-3