By Marek Kimmel,David Axelrod
This e-book presents a theoretical historical past of branching tactics and discusses their organic purposes. Branching approaches are a well-developed and strong set of instruments within the box of utilized chance. the diversity of functions thought of comprises molecular biology, mobile biology, human evolution and drugs. The branching approaches mentioned comprise Galton-Watson, Markov, Bellman-Harris, Multitype, and common techniques. As an reduction to figuring out particular examples, introductory chapters, and glossaries are incorporated that supply heritage fabric in arithmetic and in biology. The publication may be of curiosity to scientists who paintings in quantitative modeling of organic structures, relatively probabilists, mathematical biologists, biostatisticians, telephone biologists, molecular biologists, and bioinformaticians. The authors are a mathematician and mobile biologist who've collaborated for greater than a decade within the box of branching procedures in biology for this new edition.
This moment extended version provides new fabric released over the last decade, with approximately two hundred new references. extra fabric has been additional on infinitely-dimensional multitype procedures, together with the infinitely-dimensional linear-fractional case. Hypergeometric functionality remedy of the unique case of the Griffiths-Pakes endless allele branching technique has additionally been additional. There are extra purposes of contemporary molecular strategies and connections with structures biology are explored, and a brand new bankruptcy on genealogies of branching strategies and their applications.
Reviews of First Edition:
"This is an important e-book on functions of branching tactics in biology, and it's hugely suggested for these readers who're attracted to the applying and improvement of stochastic types, rather people with pursuits in mobile and molecular biology." (Siam evaluation, Vol. forty five (2), 2003)
“This publication can be very attention-grabbing and necessary for mathematicians, statisticians and biologists in addition, and particularly for researchers constructing mathematical tools in biology, drugs and different average sciences.” (Short booklet experiences of the ISI, Vol. 23 (2), 2003)
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Extra info for Branching Processes in Biology (Interdisciplinary Applied Mathematics)
Branching Processes in Biology (Interdisciplinary Applied Mathematics) by Marek Kimmel,David Axelrod