LEADER 03807nam 22006855 450 001 9910299769303321 005 20200701002722.0 010 $a3-319-16895-9 024 7 $a10.1007/978-3-319-16895-1 035 $a(CKB)3710000000404053 035 $a(SSID)ssj0001501742 035 $a(PQKBManifestationID)11918422 035 $a(PQKBTitleCode)TC0001501742 035 $a(PQKBWorkID)11446575 035 $a(PQKB)10911953 035 $a(DE-He213)978-3-319-16895-1 035 $a(MiAaPQ)EBC6311645 035 $a(MiAaPQ)EBC5578343 035 $a(Au-PeEL)EBL5578343 035 $a(OCoLC)908157962 035 $a(PPN)185488781 035 $a(EXLCZ)993710000000404053 100 $a20150423d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic Analysis of Biochemical Systems /$fby David F. Anderson, Thomas G. Kurtz 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (X, 84 p. 4 illus.) 225 1 $aStochastics in Biological Systems,$x2364-2297 ;$v1.2 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-16894-0 320 $aIncludes bibliographical references and index. 330 $aThis book focuses on counting processes and continuous-time Markov chains motivated by examples and applications drawn from chemical networks in systems biology.  The book should serve well as a supplement for courses in probability and stochastic processes.  While the material is presented in a manner most suitable for students who have studied stochastic processes up to and including martingales in continuous time, much of the necessary background material is summarized in the Appendix. Students and Researchers with a solid understanding of calculus, differential equations, and elementary probability and who are well-motivated by the applications will find this book of interest.    David F. Anderson is Associate Professor in the Department of Mathematics at the University of Wisconsin and Thomas G. Kurtz is Emeritus Professor in the Departments of Mathematics and Statistics at that university. Their research is focused on probability and stochastic processes with applications in biology and other areas of science and technology.   These notes are based in part on lectures given by Professor Anderson at the University of Wisconsin ? Madison and by Professor Kurtz at Goethe University Frankfurt. . 410 0$aStochastics in Biological Systems,$x2364-2297 ;$v1.2 606 $aBiomathematics 606 $aProbabilities 606 $aMathematical models 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 615 0$aBiomathematics. 615 0$aProbabilities. 615 0$aMathematical models. 615 14$aMathematical and Computational Biology. 615 24$aProbability Theory and Stochastic Processes. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a519.22 700 $aAnderson$b David F$4aut$4http://id.loc.gov/vocabulary/relators/aut$061261 702 $aKurtz$b Thomas G$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299769303321 996 $aStochastic Analysis of Biochemical Systems$92543289 997 $aUNINA