Stochastic Biomathematical Models: with Applications to Neuronal Modeling (Lecture Notes in Mathematics, 2058)

ISBN 10: 3642321569 / ISBN 13: 9783642321566

Published by Springer, 2012

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Seller Inventory # I-9783642321566

Bibliographic Details

• Title: Stochastic Biomathematical Models: with Applications to Neuronal Modeling (Lecture Notes in Mathematics, 2058)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 3642321569
• ISBN 13: 9783642321566
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.