书目名称 | Neural Fields | 副标题 | Theory and Applicati | 编辑 | Stephen Coombes,Peter beim Graben,James Wright | 视频video | | 概述 | Written by leading scientists in the field.Includes contributions from two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.The first comprehensive collection of results | 图书封面 |  | 描述 | Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And final | 出版日期 | Book 2014 | 关键词 | cognition and robotics; integro-differential equations; neural field theory; neurophysics; synaptic weig | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-54593-1 | isbn_softcover | 978-3-662-51511-2 | isbn_ebook | 978-3-642-54593-1 | copyright | Springer-Verlag Berlin Heidelberg 2014 |
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