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.

Klappentext

This book introduces biological examples of Branching Processes from molecular and cellular biology as well as from the fields of human evolution and medicine and discusses them in the context of the relevant mathematics. It provides a useful introduction to how the modeling can be done and for what types of problems branching processes can be used.

Inhalt

Motivating Examples and Other Preliminaries Biological Background The Galton-Watson Process The Age-Dependent Process: Markov Case The Bellman-Harris Process Multitype Processes Branching Processes with Infinitely Many Types References Appendices