03039nam 22005295 450 991048309800332120251114113609.03-030-62387-410.1007/978-3-030-62387-6(CKB)5460000000008726(DE-He213)978-3-030-62387-6(MiAaPQ)EBC6451003(PPN)253254728(EXLCZ)99546000000000872620210104d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierStochastic Dynamics in Computational Biology /by Stefanie Winkelmann, Christof Schütte1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XVIII, 272 p. 55 illus., 46 illus. in color.) Frontiers in Applied Dynamical Systems: Reviews and Tutorials,2364-49313-030-62386-6 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: Reviews and Tutorials,2364-4931Dynamical systemsBiomathematicsDynamical SystemsMathematical and Computational BiologyDynamical systems.Biomathematics.Dynamical Systems.Mathematical and Computational Biology.570.285Winkelmann Stefanie1065734Schutte ChristofMiAaPQMiAaPQMiAaPQBOOK9910483098003321Stochastic dynamics in computational biology2547737UNINA