Transient behavior of a chemotaxis system modelling certain types of tissue inflammation
A spatially-distributed mathematical model for the inflammatory response to bacterial invasion of tissue is proposed which includes leukocyte motility and chemotaxis behavior and chemical mediator properties explicitly. This system involves three coupled nonlinear partial differential equations and so is not amenable to analysis. Using scaling arguments and singular perturbation techniques, an approximating system of two coupled nonlinear ordinary differential equations is developed. This system is analyzed by phase plane methods. Using the approximating model, the dependence of the dynamic behaviour of the inflammatory response upon key process parameters, including leukocyte chemotaxis, is studied. Consistency of the model predictions with experimental observations are discussed.
spatially-distributed mathematical model
inflammatory response to bacterial invasion of tissue
scientific article; zbMATH DE number 3987098