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Stochastic Narrow Escape in Molecular and Cellular Biology

Analysis and Applications

Authors: Holcman, David, Schuss, Zeev

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  • Shows how to implement models and numerical methods
  • Provides the latest techniques in applied mathematics for cellular microdomains
  • Takes a quantitative approach in cellular biology and open questions (signaling in virus trafficking, growth cone dynamics, DNA breaks, and many others)
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eBook $89.00
price for USA in USD
  • ISBN 978-1-4939-3103-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $119.99
price for USA in USD
About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-1-4939-3103-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Narrow Escape in Molecular and Cellular Biology
Book Subtitle
Analysis and Applications
Authors
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-3103-3
DOI
10.1007/978-1-4939-3103-3
Hardcover ISBN
978-1-4939-3102-6
Softcover ISBN
978-1-4939-4123-0
Edition Number
1
Number of Pages
XIX, 259
Number of Illustrations
38 b/w illustrations, 38 illustrations in colour
Topics