Mathematical Modeling of Complex Biological Systems A Kinetic Theory Approach /

• Main Authors: Bellouquid, Abdelghani (Author), Delitala, Marcello (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Series: Modeling and Simulation in Science, Engineering and Technology
• Subjects: Life sciences.; Applied mathematics.; Engineering mathematics.; Mathematical models.; Biomathematics.; Life Sciences.; Life Sciences, general.; Mathematical Modeling and Industrial Mathematics.; Mathematical and Computational Biology.; Applications of Mathematics.; Genetics and Population Dynamics.; Physiological, Cellular and Medical Topics.

This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems—comprised of large populations of interacting cells—whose dynamics follow the rules of mechanics as well as rules govern...

Table of Contents:

• 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 the Derivation of Macroscopic Equations
• Critical Analysis and Forward Perspectives.