E-Book Overview
This book provides a theoretical background of branching process and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution, and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters and two glossaries are included that provide background material in mathematics and in biology.
The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians.
The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology.
E-Book Content
Branching Processes in Biology
Marek Kimmel David E. Axelrod
Springer
Interdisciplinary Applied Mathematics Volume 19 Editors: S.S. Antman J.E. Marsden L. Sirovich S. Wiggins Mathematical Biology L. Glass, J.D. Murray Mechanics and Materials R.V. Kohn Systems and Control S.S. Sastry, P.S. Krishinaprasad
Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics. The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand a