Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Editors: Holcman, David (Ed.)

  • Provides a collection of organized reviews on fundamental topics, not necessarily covered by classical text books, due to the interdisciplinary nature of the subject
  • Features new mathematical-physics research in biology, biophysics, and covers stochastic processes in cellular biology
  • Investigates current problems and trends within mathematical biology and how these are described using dynamical systems approaches
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eBook 91,62 €
price for Italia (gross)
  • ISBN 978-3-319-62627-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Italia (gross)
  • Atteso per: 17 ottobre 2017
  • ISBN 978-3-319-62626-0
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About this book

This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology.

This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations.

Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.

Table of contents (15 chapters)

  • Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability

    Plesa, Tomislav (et al.)

    Pages 3-27

    Preview Buy Chapter 30,44 €
  • Importance Sampling for Metastable and Multiscale Dynamical Systems

    Spiliopoulos, K.

    Pages 29-53

    Preview Buy Chapter 30,44 €
  • Multiscale Simulation of Stochastic Reaction-Diffusion Networks

    Engblom, Stefan (et al.)

    Pages 55-79

    Preview Buy Chapter 30,44 €
  • Numerical Methods for Stochastic Simulation: When Stochastic Integration Meets Geometric Numerical Integration

    Abdulle, Assyr

    Pages 83-107

    Preview Buy Chapter 30,44 €
  • Stability and Strong Convergence for Spatial Stochastic Kinetics

    Engblom, Stefan

    Pages 109-125

    Preview Buy Chapter 30,44 €

Buy this book

eBook 91,62 €
price for Italia (gross)
  • ISBN 978-3-319-62627-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Italia (gross)
  • Atteso per: 17 ottobre 2017
  • ISBN 978-3-319-62626-0
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
Editors
  • David Holcman
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-62627-7
DOI
10.1007/978-3-319-62627-7
Hardcover ISBN
978-3-319-62626-0
Edition Number
1
Number of Pages
XIII, 377
Number of Illustrations and Tables
6 b/w illustrations, 52 illustrations in colour
Topics