Mathematical Biosciences Subseries

Stochastic Biomathematical Models

with Applications to Neuronal Modeling

Editors: Bachar, Mostafa, Batzel, Jerry J., Ditlevsen, Susanne (Eds.)

  • Written by current leading experts in the field Focus on interdisciplinary (physiological and biological) applications of stochastic methods Representation of key theoretical ideas but also clear and motivated examples of application and implementation issues

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eBook $69.99
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  • ISBN 978-3-642-32157-3
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-32156-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

Stochastic biomathematical models are becoming increasingly important as new light is shed on the role of noise in living systems. In certain biological systems, stochastic effects may even enhance a signal, thus providing a biological motivation for the noise observed in living systems. Recent advances in stochastic analysis and increasing computing power facilitate the analysis of more biophysically realistic models, and this book provides researchers in computational neuroscience and stochastic systems with an overview of recent developments. Key concepts are developed in chapters written by experts in their respective fields. Topics include: one-dimensional homogeneous diffusions and their boundary behavior, large deviation theory and its application in stochastic neurobiological models, a review of mathematical methods for stochastic neuronal integrate-and-fire models, stochastic partial differential equation models in neurobiology, and stochastic modeling of spreading cortical depression.

Table of contents (8 chapters)

  • Introduction to Stochastic Models in Biology

    Ditlevsen, Susanne (et al.)

    Pages 3-35

  • One-Dimensional Homogeneous Diffusions

    Jacobsen, Martin

    Pages 37-55

  • A Brief Introduction to Large Deviations Theory

    Wainrib, Gilles

    Pages 57-72

  • Some Numerical Methods for Rare Events Simulation and Analysis

    Wainrib, Gilles

    Pages 73-95

  • Stochastic Integrate and Fire Models: A Review on Mathematical Methods and Their Applications

    Sacerdote, Laura (et al.)

    Pages 99-148

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-32157-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-32156-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 Biomathematical Models
Book Subtitle
with Applications to Neuronal Modeling
Editors
  • Mostafa Bachar
  • Jerry J. Batzel
  • Susanne Ditlevsen
Series Title
Mathematical Biosciences Subseries
Series Volume
2058
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-32157-3
DOI
10.1007/978-3-642-32157-3
Softcover ISBN
978-3-642-32156-6
Edition Number
1
Number of Pages
XVI, 206
Number of Illustrations and Tables
21 b/w illustrations, 13 illustrations in colour
Topics