This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.
Publisher: Birkhauser Boston Inc
Number of pages: 188
Weight: 1030 g
Dimensions: 235 x 155 x 12 mm
Edition: 2006 ed.
The focus of the book is the development of this new mathematical framework, and an application to modeling the immune response, particularly interactions between cancer cells and immune cells, is considered in detail. The model involves integro-differential evolution equations. Much of the book is devoted to obtaining asymptotic solutions as well as numerical solutions of the model system. -MathSciNet