Stochastic narrow escape in molecula...
Holcman, David.

 

  • Stochastic narrow escape in molecular and cellular biology[electronic resource] :analysis and applications /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 519.2
    書名/作者: Stochastic narrow escape in molecular and cellular biology : analysis and applications // by David Holcman, Zeev Schuss.
    作者: Holcman, David.
    其他作者: Schuss, Zeev.
    出版者: New York, NY : : Springer New York :, 2015.
    面頁冊數: xix, 259 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Stochastic processes.
    標題: Molecular biology.
    標題: Cytology.
    標題: Physics.
    標題: Biophysics and Biological Physics.
    標題: Mathematical and Computational Biology.
    標題: Cell Biology.
    標題: Numerical and Computational Physics.
    ISBN: 9781493931033
    ISBN: 9781493931026
    內容註: Elementary Theory of Stochastic Narrow Escape -- Special Asymptotics for Stochastic Narrow Escape -- NET in Molecular and Cellular Biology -- Applications to Cellular Biology and Simulations -- Determination of Features from Super-Resolution Data -- Markov Models for Stochastic Chemical Reactions -- Random Search with Switching -- Narrow Escape in Other Cellular Processes -- Modeling the Early Steps of Viral Infection in Cells.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-1-4939-3103-3
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