TY  - GEN
AU  - Winkelmann,Stefanie
AU  - Schütte,Christof
TI  - Stochastic dynamics in computational biology
T2  - Frontiers in applied dynamical systems: reviews and tutorials,
SN  - 9783030623869
U1  - 57.087.1 
PY  - 2020///
CY  - Cham, Switzerland
PB  - Springer
KW  - Biomathematics
KW  - Dynamical systems
KW  - Mathematical and Computational Biology
KW  - Stochastic processes
KW  - Systems biology
KW  - Dynamical Systems and Ergodic Theory
KW  - Gene expression
KW  - Chemical reaction network
N1  - Includes bibliographical references and index
N2  - 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
UR  - https://link.springer.com/content/pdf/bfm:978-3-030-62387-6/1
UR  - https://www.goodreads.com/book/show/70749348-stochastic-dynamics-in-computational-biology?ref=nav_sb_ss_1_13#CommunityReviews
ER  -