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Published in:
2015 | OriginalPaper | Chapter
1. Motivating Examples and Other Preliminaries
Authors : Marek Kimmel, David E. Axelrod
Published in: Branching Processes in Biology
Publisher: Springer New York
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Abstract
The branching process is a system of particles (individuals, cells, molecules, etc.) which live for a random time and, at some point during lifetime or at the moment of death, produce a random number of progeny. Processes allowing production of new individuals during a parent individual’s lifetime are called the general or Jagers-Crump-Mode processes. They are suitable for description of populations of higher organisms, like vertebrates and plants. Processes that assume production of progeny at the terminal point of parent entity’s lifetime are called the classical processes. They are usually sufficient for modeling populations of biological cells, genes or biomolecules. In some processes, like the time-continuous Markov process, the distinction is immaterial since one of the progeny of a particle may be considered an extension of the parent.