LEADER 04578nam 22006975 450 001 9910299966303321 005 20200703221757.0 010 $a3-319-08488-7 024 7 $a10.1007/978-3-319-08488-6 035 $a(CKB)3710000000227354 035 $a(SSID)ssj0001338864 035 $a(PQKBManifestationID)11704416 035 $a(PQKBTitleCode)TC0001338864 035 $a(PQKBWorkID)11345315 035 $a(PQKB)11560914 035 $a(DE-He213)978-3-319-08488-6 035 $a(MiAaPQ)EBC6314137 035 $a(MiAaPQ)EBC5576397 035 $a(Au-PeEL)EBL5576397 035 $a(OCoLC)889941610 035 $z(PPN)258852151 035 $a(PPN)180627260 035 $a(EXLCZ)993710000000227354 100 $a20140822d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic Processes in Cell Biology /$fby Paul C. Bressloff 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XVII, 679 p. 206 illus., 90 illus. in color.) 225 1 $aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v41 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-08487-9 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Diffusion in Cells: Random walks and Brownian Motion -- Stochastic Ion Channels -- Polymers and Molecular Motors -- Sensing the Environment: Adaptation and Amplification in Cells -- Stochastic Gene Expression and Regulatory Networks -- Transport Processes in Cells -- Self-Organization in Cells I: Active Processes -- Self-Organization in Cells II: Reaction-Diffusion Models -- The WKB Method and Large Deviation Theory -- Probability Theory and Martingales. 330 $aThis book develops the theory of continuous and discrete stochastic processes within the context of cell biology.  A wide range of biological topics are covered including normal and anomalous diffusion in complex cellular environments, stochastic ion channels and excitable systems, stochastic calcium signaling, molecular motors, intracellular transport, signal transduction, bacterial chemotaxis, robustness in gene networks, genetic switches and oscillators, cell polarization, polymerization, cellular length control, and branching processes. The book also provides a pedagogical introduction to the theory of stochastic process ? Fokker Planck equations, stochastic differential equations, master equations and jump Markov processes, diffusion approximations and the system size expansion, first passage time problems, stochastic hybrid systems, reaction-diffusion equations, exclusion processes, WKB methods, martingales and branching processes, stochastic calculus, and numerical methods.   This text is primarily aimed at graduate students and researchers working in mathematical biology and applied mathematicians interested in stochastic modeling.  Applied probabilists and theoretical physicists should also find it of interest. It assumes no prior background in statistical physics and introduces concepts in stochastic processes via motivating biological applications.     The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years. 410 0$aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v41 606 $aBiomathematics 606 $aProbabilities 606 $aCell biology 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 $aCell Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/L16008 615 0$aBiomathematics. 615 0$aProbabilities. 615 0$aCell biology. 615 14$aMathematical and Computational Biology. 615 24$aProbability Theory and Stochastic Processes. 615 24$aCell Biology. 676 $a570.285 700 $aBressloff$b Paul C$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721730 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299966303321 996 $aStochastic processes in cell biology$91409849 997 $aUNINA