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Pattern dynamics of the reaction-diffusion immune system
- Source :
- PLoS ONE, Vol 13, Iss 1, p e0190176 (2018), PLoS ONE
- Publication Year :
- 2018
- Publisher :
- Public Library of Science (PLoS), 2018.
-
Abstract
- In this paper, we will investigate the effect of diffusion, which is ubiquitous in nature, on the immune system using a reaction-diffusion model in order to understand the dynamical behavior of complex patterns and control the dynamics of different patterns. Through control theory and linear stability analysis of local equilibrium, we obtain the optimal condition under which the system loses stability and a Turing pattern occurs. By combining mathematical analysis and numerical simulation, we show the possible patterns and how these patterns evolve. In addition, we establish a bridge between the complex patterns and the biological mechanism using the results from a previous study in Nature Cell Biology. The results in this paper can help us better understand the biological significance of the immune system.
- Subjects :
- Computer and Information Sciences
Infectious Disease Control
Computer science
Immune Cells
Immunology
lcsh:Medicine
Systems Science
01 natural sciences
Stability (probability)
010305 fluids & plasmas
Immune system
Animal Cells
Control theory
Neoplasms
0103 physical sciences
Reaction–diffusion system
Morphogenesis
Medicine and Health Sciences
Animals
Pattern Formation
Control Theory
Diffusion (business)
lcsh:Science
010301 acoustics
Turing
computer.programming_language
Multidisciplinary
Computer simulation
System Stability
Mechanism (biology)
lcsh:R
Biology and Life Sciences
Cell Biology
Control Engineering
Models, Theoretical
Dynamical Systems
Infectious Diseases
Order (biology)
Oncology
Immune System
Physical Sciences
Engineering and Technology
lcsh:Q
Cellular Types
Biological system
computer
Mathematics
Research Article
Developmental Biology
Subjects
Details
- Language :
- English
- ISSN :
- 19326203
- Volume :
- 13
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- PLoS ONE
- Accession number :
- edsair.doi.dedup.....a9dbc0d449b3dda7a97b447424b70c7a