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Dynamical systems in neuroscience the geometry of excitability and bursting

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Dynamical systems in neuroscience : the geometry of excitability and bursting

Autor: Ižikevič, Eugene M.
Ausgabe: 1. MIT Press paperback ed.
Ort, Verlag, Jahr: Cambridge, Mass. [u.a.], MIT Press, 2010
Umfang: XVI, 441 S.
ISBN/ISSN/ISMN 0262514206 , 9780262514200 , 9780262090438
Schlagwortketten: Neurowissenschaften / Dynamisches System

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Autor:Ižikevič, Eugene M.
Titel:Dynamical systems in neuroscience
Untertitel:the geometry of excitability and bursting
Von:Eugene M. Izhikevich
Ausgabe:1. MIT Press paperback ed.
Ort:Cambridge, Mass. [u.a.]
Verlag:MIT Press
Jahr:2010
Umfang:XVI, 441 S.
Illustrationsangabe:Ill., graph. Darst.
ISBN/ISSN/ISMN:0262514206
ISBN/ISSN/ISMN:9780262514200
ISBN/ISSN/ISMN:9780262090438
Zusammenfassung:In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. "Dynamical Systems in Neuroscience" presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum--or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience.
Reihe:Computational neuroscience
Systematik:WC 7700
Systematik:SK 950
Systematik:WW 2200
Systematik:CZ 1300
Systematik:ST 300
BV-Nummer:BV035992660