LEADER 05512nam 22007935 450 001 9910299777803321 005 20200706091346.0 010 $a1-4939-1559-2 024 7 $a10.1007/978-1-4939-1559-0 035 $a(CKB)3710000000360243 035 $a(SSID)ssj0001452146 035 $a(PQKBManifestationID)11890640 035 $a(PQKBTitleCode)TC0001452146 035 $a(PQKBWorkID)11479974 035 $a(PQKB)10608377 035 $a(DE-He213)978-1-4939-1559-0 035 $a(MiAaPQ)EBC6312582 035 $a(MiAaPQ)EBC5595877 035 $a(Au-PeEL)EBL5595877 035 $a(OCoLC)1076255861 035 $a(PPN)184498309 035 $a(EXLCZ)993710000000360243 100 $a20150217d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aBranching Processes in Biology /$fby Marek Kimmel, David E. Axelrod 205 $a2nd ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (XX, 280 p. 69 illus., 3 illus. in color.) 225 1 $aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v19 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4939-1558-4 320 $aIncludes bibliographical references (pages [253]-271) and indexes. 327 $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. 330 $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) ?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). 410 0$aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v19 606 $aBiomathematics 606 $aStatistics  606 $aProbabilities 606 $aBioinformatics 606 $aCell biology 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aStatistics for Life Sciences, Medicine, Health Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/S17030 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aBioinformatics$3https://scigraph.springernature.com/ontologies/product-market-codes/L15001 606 $aCell Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/L16008 615 0$aBiomathematics. 615 0$aStatistics . 615 0$aProbabilities. 615 0$aBioinformatics. 615 0$aCell biology. 615 14$aMathematical and Computational Biology. 615 24$aStatistics for Life Sciences, Medicine, Health Sciences. 615 24$aProbability Theory and Stochastic Processes. 615 24$aBioinformatics. 615 24$aCell Biology. 676 $a570.2 700 $aKimmel$b Marek$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755485 702 $aAxelrod$b David E$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299777803321 996 $aBranching Processes in Biology$92543292 997 $aUNINA