Waves in Neural Media: From Single Neurons to Neural Fields (Lecture Notes on Mathematical Modelling in the Life Sciences) - Image 1

£84.59

Springer Waves in Neural Media: From Single Neurons to Neural Fields (Lecture Notes on Mathematical Modelling in the Life Sciences)

Name: Waves in Neural Media: From Single Neurons to Neural Fields (Lecture Notes on Mathematical Modelling in the Life Sciences)
Brand: Springer
Price: 84.59 GBP
Availability: InStock

Neurology & Clinical Neurophysiology

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Description

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 to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1461488656
Category: Books > Subjects > Health, Family & Lifestyle > Medical & Healthcare Practitioners > Internal Medicine > Neurology & Clinical Neurophysiology
Domain: Amazon UK
Publication Date: 17 October 2013
Listed Since: 25 July 2013

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Springer Waves in Neural Media: From Single Neurons to Neural Fields (Lecture Notes on Mathematical Modelling in the Life Sciences)

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