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Mathematics - Probability Theory and Stochastic Processes | Stochastic Biomathematical Models - with Applications to Neuronal Modeling

Stochastic Biomathematical Models

with Applications to Neuronal Modeling

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

2013, XVI, 206 p. 34 illus., 13 illus. in color.

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  • 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
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.

Content Level » Research

Keywords » 60Gxx, 92C20, 37N25, 92Bxx - Spreading cortical depression - Stochastic Integrate-and-Fire Models - Stochastic differential equation models in biology - Stochastic partial differential equations in neurobiology

Related subjects » Life Sciences, Medicine & Health - Mathematics - Neuroscience - Probability Theory and Stochastic Processes

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