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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- 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.
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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