| 书目名称 | Waves in Neural Media | | 副标题 | From Single Neurons | | 编辑 | Paul C. Bressloff | | 视频video | | | 概述 | Covers an extensive array of topics ranging from sub-cellular to tissue level biology.Can serve as an entry point for biologists wishing to learn about mathematical modeling.Provides an excellent intr | | 丛书名称 | Lecture Notes on Mathematical Modelling in the Life Sciences | | 图书封面 |  | | 描述 | ..Waves in Neural Media: From Single Neurons to Neural Fields. surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. .Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book | | 出版日期 | Book 2014 | | 关键词 | excitable media; mathematical neuroscience; neural fields; reaction-diffusion equations; traveling waves | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-8866-8 | | isbn_softcover | 978-1-4614-8865-1 | | isbn_ebook | 978-1-4614-8866-8Series ISSN 2193-4789 Series E-ISSN 2193-4797 | | issn_series | 2193-4789 | | copyright | Springer Science+Business Media New York 2014 |
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发表于 2025-3-21 16:07:35
