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

Автор: David Holcman

Език:

Корици: С твърди корици

Издател: Springer International Publishing AG

Наличност: Външен склад

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105.11 € 205.57 лв

This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along wi...

Информация за книгата

Автор

David Holcman

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2017

страници

377

EAN

9783319626260

ISBN

9783319626260

Enbook ID

16475231

Издател

Springer International Publishing AG

Теглоt

7096

Размери

155 x 235 x 27

Пълно описание

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.

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

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