In this book biological examples of Branching Processes are introduced from molecular and cellular biology as well as from the fields of human evolution and medicine and discussed in the context of the relevant mathematics, providing a useful introduction on how the modelling can be done and for what types of problems branching processes can be useful. As an aid to understanding specific examples, two introductory chapters provide background material in mathematics and biology.
This book will interest scientists who work in quantitative modelling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, and cell and molecular biologists and bioinformaticians.
The authors of this monograph are a mathematician and a cell biologist who have collaborated in the field of Branching Processes for more than a decade.

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