Click Here to Download: https://ouo.io/800LAm1 Stochastic Biomathematical Models with Applications to Neuronal Modeling By: Mostafa Bachar Publisher: Springer Print ISBN: 9783642321566, 3642321569 eText ISBN: 9783642321573, 3642321577 Copyright year: 2013 Format: EPUB Available from $ 84.99 USD SKU 9783642321573 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.