Interdisciplinary Applied Mathematics

Stochastic Processes in Cell Biology

Authors: Bressloff, Paul C.

  • First graduate textbook in interdisciplinary applied mathematics that focuses on applications of stochastic processes to cell biology
  • Introduces concepts in stochastic process via motiviating biological applications
  • Solutions to exercises provided as supplementary material
  • Large number of examples and exercises, highly illustrated
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-08488-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-08487-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-35494-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

This book develops the theory of continuous and discrete stochastic processes within the context of cell biology.  A wide range of biological topics are covered including normal and anomalous diffusion in complex cellular environments, stochastic ion channels and excitable systems, stochastic calcium signaling, molecular motors, intracellular transport, signal transduction, bacterial chemotaxis, robustness in gene networks, genetic switches and oscillators, cell polarization, polymerization, cellular length control, and branching processes. The book also provides a pedagogical introduction to the theory of stochastic process – Fokker Planck equations, stochastic differential equations, master equations and jump Markov processes, diffusion approximations and the system size expansion, first passage time problems, stochastic hybrid systems, reaction-diffusion equations, exclusion processes, WKB methods, martingales and branching processes, stochastic calculus, and numerical methods. This text is primarily aimed at graduate students and researchers working in mathematical biology and applied mathematicians interested in stochastic modeling.  Applied probabilists and theoretical physicists should also find it of interest. It assumes no prior background in statistical physics and introduces concepts in stochastic processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

About the authors

Paul Bressloff is a Professor of Mathematics in the Department of Mathematics at the University of Utah, where he is a faculty member of the Mathematical Biology Group and the Brain Institute.  He is also a Visiting Professor at the Mathematical Institute, University of Oxford and INRIA, Sophia-Antipolis.  Professor Bressloff's research interests lie in the areas of mathematical neuroscience and theoretical biophysics.

Reviews

“This nearly 700-page volume is an impressive account of a ‘second wave’ in the broad field known as mathematical biology. … I say ‘Bravo!’ Bressloff's book is a superb resource for applied mathematicians interested in teaching and/or research in this field.” (John Adam, Mathematical Reviews, February, 2016)


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Table of contents (11 chapters)

  • Introduction

    Bressloff, Paul C.

    Pages 1-31

  • Diffusion in Cells: Random Walks and Brownian Motion

    Bressloff, Paul C.

    Pages 35-102

  • Stochastic Ion Channels

    Bressloff, Paul C.

    Pages 103-158

  • Polymers and Molecular Motors

    Bressloff, Paul C.

    Pages 159-226

  • Sensing the Environment: Adaptation and Amplification in Cells

    Bressloff, Paul C.

    Pages 227-267

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-08488-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-08487-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-35494-1
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Processes in Cell Biology
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
41
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-3-319-08488-6
DOI
10.1007/978-3-319-08488-6
Hardcover ISBN
978-3-319-08487-9
Softcover ISBN
978-3-319-35494-1
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XVII, 679
Number of Illustrations and Tables
116 b/w illustrations, 90 illustrations in colour
Topics