Speaker
Description
Inflammation is a physiological process aimed at protecting the organism from various external stimuli. It plays an important role in numerous diseases including viral infection, atherosclerosis, cancer, and neurodegenerative diseases. Although each type of inflammatory disease has its own characteristic stimuli, the inflammatory response mechanism is generic.
In this work, we present generic mathematical models of inflammation based on reaction–diffusion equations describing the spatiotemporal dynamics of healthy cells, inflamed cells, immune cells, and both pro- and anti-inflammatory mediators. The objective is to develop generalized models capable of capturing the main phases of the inflammatory process, initiation, progression, and resolution, using systems of reaction–diffusion and integro-differential equations, with and without delay.
Our analysis shows that inflammation can propagate within tissue as a reaction–diffusion wave, and we determine the corresponding propagation speed. Finally, numerical simulations are performed to investigate how anti-inflammatory mechanisms influence the global dynamics of the system and the resolution of inflammation.
