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

Nonfiction, Science & Nature, Science, Biological Sciences, Biophysics, Mathematics, Applied
Cover of the book Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319626277
Publisher: Springer International Publishing Publication: October 4, 2017
Imprint: Springer Language: English
Author:
ISBN: 9783319626277
Publisher: Springer International Publishing
Publication: October 4, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Knowledge Spillovers in Regional Innovation Systems by
Cover of the book Information Security Applications by
Cover of the book Mathematics Applied to Engineering, Modelling, and Social Issues by
Cover of the book Geostatistics Valencia 2016 by
Cover of the book Discrete–Time Stochastic Control and Dynamic Potential Games by
Cover of the book Computer Vision in Control Systems-1 by
Cover of the book Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications by
Cover of the book How Matter Becomes Conscious by
Cover of the book MIMO Radar Waveform Design for Spectrum Sharing with Cellular Systems by
Cover of the book Low-Complexity Controllers for Time-Delay Systems by
Cover of the book Proceedings of the Ninth International Conference on Soft Computing and Pattern Recognition (SoCPaR 2017) by
Cover of the book Time Series Analysis and Forecasting by
Cover of the book Risk Analysis of Natural Hazards by
Cover of the book Meta-Analytic Structural Equation Modelling by
Cover of the book Minimally Processed Foods by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy