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000725758 019__ $$a905399246
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000725758 0247_ $$a10.1007/978-1-4939-1559-0$$2doi
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000725758 08204 $$a570.1/5118$$223
000725758 1001_ $$aKimmel, Marek,$$d1959-$$eauthor.
000725758 24510 $$aBranching processes in biology$$h[electronic resource] /$$cMarek Kimmel, David E. Axelrod.
000725758 250__ $$a[Second edition].
000725758 264_1 $$aNew York :$$bSpringer,$$c2015.
000725758 300__ $$a1 online resource (xviii, 230 pages) :$$billustrations.
000725758 336__ $$atext$$btxt$$2rdacontent
000725758 337__ $$acomputer$$bc$$2rdamedia
000725758 338__ $$aonline resource$$bcr$$2rdacarrier
000725758 347__ $$atext file$$bPDF$$2rda
000725758 4901_ $$aInterdisciplinary applied mathematics ;$$vvolume 19
000725758 504__ $$aIncludes bibliographical references and indexes.
000725758 5050_ $$aMotivating Examples and Other Preliminaries -- Biological Background -- The Galton-Watson Process -- The Age-Dependent Process: Markov Case -- The Bellman-Harris Process -- Multitype Processes -- Branching Processes with Infinitely Many Types -- Genealogies of Branching Processes and their Applications -- References.
000725758 506__ $$aAccess limited to authorized users.
000725758 520__ $$aThis 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) ℓ́ℓThis 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.ℓ́ℓ (Short Book Reviews of the ISI, Vol. 23 (2), 2003)
000725758 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 24, 2015).
000725758 650_0 $$aBiology$$xMathematical models.
000725758 650_0 $$aBranching processes.
000725758 7001_ $$aAxelrod, David E.,$$d1940-$$eauthor.
000725758 77608 $$iPrint version:$$z9781493915583
000725758 830_0 $$aInterdisciplinary applied mathematics ;$$vv. 19.
000725758 852__ $$bebk
000725758 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-1-4939-1559-0$$zOnline Access$$91397441.1
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