Overview
- 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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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Stochastic Narrow Escape in Molecular and Cellular Biology
Book Subtitle: Analysis and Applications
Authors: David Holcman, Zeev Schuss
DOI: https://doi.org/10.1007/978-1-4939-3103-3
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media New York 2015
Hardcover ISBN: 978-1-4939-3102-6Published: 11 September 2015
Softcover ISBN: 978-1-4939-4123-0Published: 25 October 2016
eBook ISBN: 978-1-4939-3103-3Published: 08 September 2015
Edition Number: 1
Number of Pages: XIX, 259
Number of Illustrations: 38 b/w illustrations, 38 illustrations in colour
Topics: Biological and Medical Physics, Biophysics, Mathematical and Computational Biology, Cell Biology, Numerical and Computational Physics, Simulation