LEADER 02875oam 2200517 450 001 996418199503316 005 20210610173748.0 010 $a3-030-62387-4 024 7 $a10.1007/978-3-030-62387-6 035 $a(CKB)5460000000008726 035 $a(DE-He213)978-3-030-62387-6 035 $a(MiAaPQ)EBC6451003 035 $a(PPN)253254728 035 $a(EXLCZ)995460000000008726 100 $a20210610d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStochastic dynamics in computational biology /$fStefanie Winkelmann, Christof Schütte 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (XVIII, 272 p. 55 illus., 46 illus. in color.) 225 1 $aFrontiers in Applied Dynamical Systems 311 $a3-030-62386-6 327 $aIntroduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background. 330 $aThe aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems. 410 0$aFrontiers in applied dynamical systems. 606 $aComputational biology 606 $aSystems biology 606 $aStochastic processes 615 0$aComputational biology. 615 0$aSystems biology. 615 0$aStochastic processes. 676 $a570.285 700 $aWinkelmann$b Stefanie$01065734 702 $aSchütte$b Christof 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996418199503316 996 $aStochastic dynamics in computational biology$92547737 997 $aUNISA