Stochastic Narrow Escape in Molecular and Cellular Biology : Analysis and Applications

David Holcman

ISBN 10: 1493941232 / ISBN 13: 9781493941230

Edité par Springer, Springer, 2016

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book covers recent developments in the non-standard asymptotics of the mathematical narrow escape problem in stochastic theory, as well as applications of the narrow escape problem in cell biology. The first part of the book concentrates on mathematical methods, including advanced asymptotic methods in partial equations, and is aimed primarily at applied mathematicians and theoretical physicists who are interested in biological applications. The second part of the book is intended for computational biologists, theoretical chemists, biochemists, biophysicists, and physiologists. It includes a summary of output formulas from the mathematical portion of the book and concentrates on their applications in modeling specific problems in theoretical molecular and cellular biology.Critical biological processes, such as synaptic plasticity and transmission, activation of genes by transcription factors, or double-strained DNA break repair, are controlled by diffusion in structures that have both large and small spatial scales. These may be small binding sites inside or on the surface of the cell, or narrow passages between subcellular compartments. The great disparity in spatial scales is the key to controlling cell function by structure. This volume reports recent progress on resolving analytical and numerical difficulties in extracting properties from experimental data, biophysical models, and from Brownian dynamics simulations of diffusion in multi-scale structures.

N° de réf. du vendeur 9781493941230

Détails bibliographiques

• Titre: Stochastic Narrow Escape in Molecular and Cellular Biology : Analysis and Applications
• Éditeur: Springer, Springer
• Date de parution: 2016
• Langue: anglais
• ISBN à 10 chiffres: 1493941232
• ISBN à 13 chiffres: 9781493941230
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 16 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 16 millimètres de profondeur
• Poids: 429 grammes

A propos de ce titre

Synopsis

This book covers recent developments in the non-standard asymptotics of the mathematical narrow escape problem in stochastic theory, as well as applications of the narrow escape problem in cell biology. The first part of the book concentrates on mathematical methods, including advanced asymptotic methods in partial equations, and is aimed primarily at applied mathematicians and theoretical physicists who are interested in biological applications. The second part of the book is intended for computational biologists, theoretical chemists, biochemists, biophysicists, and physiologists. It includes a summary of output formulas from the mathematical portion of the book and concentrates on their applications in modeling specific problems in theoretical molecular and cellular biology.

Critical biological processes, such as synaptic plasticity and transmission, activation of genes by transcription factors, or double-strained DNA break repair, are controlled by diffusion in structures that have both large and small spatial scales. These may be small binding sites inside or on the surface of the cell, or narrow passages between subcellular compartments. The great disparity in spatial scales is the key to controlling cell function by structure. This volume reports recent progress on resolving analytical and numerical difficulties in extracting properties from experimental data, biophysical models, and from Brownian dynamics simulations of diffusion in multi-scale structures.