Winkelmann, Stefanie and Schütte, Christof
(2020)
*Stochastic Dynamics in Computational Biology.*
Buchreihe: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
.

Full text not available from this repository.

Official URL: http://doi:10.1007/978-3-030-62387-6

## Abstract

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.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 2760 |

Deposited By: | Monika Drueck |

Deposited On: | 22 Feb 2022 17:23 |

Last Modified: | 22 Feb 2022 17:23 |

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