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Branching Processes in Biology (Paperback, Softcover reprint of the original 2nd ed. 2015)
Loot Price: R2,370
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Branching Processes in Biology (Paperback, Softcover reprint of the original 2nd ed. 2015)
Series: Interdisciplinary Applied Mathematics, 19
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This book provides a theoretical background of branching processes
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 for this new edition. This second
expanded edition adds new material published during the last
decade, with nearly 200 new references. More material has been
added on infinitely-dimensional multitype processes, including the
infinitely-dimensional linear-fractional case. Hypergeometric
function treatment of the special case of the Griffiths-Pakes
infinite allele branching process has also been added. There are
additional applications of recent molecular processes and
connections with systems biology are explored, and a new chapter on
genealogies of branching processes and their applications. Reviews
of First Edition: "This is a significant book on applications of
branching processes in biology, and it is highly recommended for
those readers who are interested in the application and development
of stochastic models, particularly those with interests in cellular
and molecular biology." (Siam Review, Vol. 45 (2), 2003) "This book
will be very interesting and useful for mathematicians,
statisticians and biologists as well, and especially for
researchers developing mathematical methods in biology, medicine
and other natural sciences." (Short Book Reviews of the ISI, Vol.
23 (2), 2003)
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