Mathematical modeling of complex biological systems : a kinetic theory approach
Author(s)
Bibliographic Information
Mathematical modeling of complex biological systems : a kinetic theory approach
（Modeling and simulation in science, engineering & technology）
Birkhäuser, c2006
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Note
Includes bibliographical references (p. 181-186) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface.- On the Modelling of Complex Biological Systems.- Mathematical Frameworks of the Generalized Kinetic (Boltzmann) Theory.- Modelling the Immune Competition and Applications.- On the Cauchy Problem.- Simulations, Biological Interpretations, and Further Modelling Perspectives.- Models with Space Structure and Derivation of Macroscopic Equations.- Critical Analysis and Forward Perspectives.- Appendix. Basic Tools of Mathematical Kinetic Theory.- Glossary.- References.- Index
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