Stochastic biomathematical models [electronic resource] : with applications to neuronal modeling / Mostafa Bachar, Jerry Batzel, Susanne Ditlevsen, editors.
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 adva...
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| Online Access: |
Full Text (via Springer) |
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| Other Authors: | , , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Heidelberg :
Springer,
©2013.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
2058. Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries. |
| Subjects: |
| Summary: | 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 itsapplication 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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| Physical Description: | 1 online resource (xvi, 206 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783642321566 3642321569 9783642321573 3642321577 |