The Trigger Model of the Dynamics of Acute and Chronic Aseptic Inflammation

Abstract

The work is devoted to the study of the qualitative properties of solutions of the mathematical model of the dynamics of aseptic inflammation and the issues of their practical application. Data are presented that indicate the potential use of the model to describe a wide range of biological processes and diseases in which aseptic inflammation is a pathogenic factor. The multistability of the dynamic system in the vicinity of biologically significant solutions and the corresponding range of parameter values is found. It is shown that, depending on the initial conditions, the model describes not only the conditional norm state (in the absence of a wound) and the classical acute inflammatory reaction to damage, but also its transition to a chronic form. The trigger mechanism of switching states of the system is investigated. The possibilities of the model as an effective tool for studying and early predicting the nature of the immune response, as well as for analyzing hypothetical therapeutic strategies that prevent the progression of acute inflammation into chronic inflammation are shown.