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

David Holcman

ISBN 10: 331987358X / ISBN 13: 9783319873589

Editore: Springer International Publishing, Springer Nature Switzerland Aug 2018, 2018

Riguardo questo articolo

Neuware -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, oneneeds 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 Biologywill appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 392 pp. Englisch.

Codice articolo 9783319873589

Dati bibliografici

• Titolo: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
• Editore: Springer International Publishing, Springer Nature Switzerland Aug 2018
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 331987358X
• ISBN 13: 9783319873589
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 22 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 22 millimetri di profondità
• Peso: 593 grammi

Descrizione articolo

Riassunto

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, oneneeds 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.