02875oam 2200517 450 99641819950331620210610173748.03-030-62387-410.1007/978-3-030-62387-6(CKB)5460000000008726(DE-He213)978-3-030-62387-6(MiAaPQ)EBC6451003(PPN)253254728(EXLCZ)99546000000000872620210610d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierStochastic dynamics in computational biology /Stefanie Winkelmann, Christof Schütte1st ed. 2020.Cham, Switzerland :Springer,[2020]©20201 online resource (XVIII, 272 p. 55 illus., 46 illus. in color.) Frontiers in Applied Dynamical Systems3-030-62386-6 Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background.The 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.Frontiers in applied dynamical systems.Computational biologySystems biologyStochastic processesComputational biology.Systems biology.Stochastic processes.570.285Winkelmann Stefanie1065734Schütte ChristofMiAaPQMiAaPQUtOrBLWBOOK996418199503316Stochastic dynamics in computational biology2547737UNISA