Stochastic Narrow Escape in Molecular and Cellular Biology
Analysis and Applications
Authors: Holcman, David, Schuss, Zeev
Free Preview- 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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- About this book
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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)
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Elementary Theory of Stochastic Narrow Escape
Pages 1-44
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Special Asymptotics for Stochastic Narrow Escape
Pages 45-94
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NET in Molecular and Cellular Biology
Pages 95-112
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Applications to Cellular Biology and Simulations
Pages 113-134
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Determination of Features from Super-Resolution Data
Pages 135-141
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Table of contents (9 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Stochastic Narrow Escape in Molecular and Cellular Biology
- Book Subtitle
- Analysis and Applications
- Authors
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- David Holcman
- Zeev Schuss
- 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
