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03335nam a22006255i 4500 |
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|a 9783540315445
|9 978-3-540-31544-5
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|a 10.1007/b102786
|2 doi
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|a QH323.5
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|a QH324.2-324.25
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|a PDE
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|a MAT003000
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|a 570.285
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|a Borisyuk, Alla.
|e author.
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|a Tutorials in Mathematical Biosciences I
|h [electronic resource] :
|b Mathematical Neuroscience /
|c by Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2005.
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|a X, 170 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics, Mathematical Biosciences,
|x 0075-8434 ;
|v 1860
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|a Preface -- A. Friedman: Introduction to Neurons -- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics -- B. Ermentrout: Neural Oscillators -- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.
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|a This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.
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|a Mathematics.
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|a Bioinformatics.
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|a Computational biology.
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|a Neurobiology.
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|a Differential equations.
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|a Partial differential equations.
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|a Computer mathematics.
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|a Biomathematics.
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|a Mathematics.
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|a Mathematical and Computational Biology.
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|a Ordinary Differential Equations.
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|a Partial Differential Equations.
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|a Computational Mathematics and Numerical Analysis.
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|a Neurobiology.
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|a Computer Appl. in Life Sciences.
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|a Friedman, Avner.
|e author.
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|a Ermentrout, Bard.
|e author.
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|a Terman, David.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540238584
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|a Lecture Notes in Mathematics, Mathematical Biosciences,
|x 0075-8434 ;
|v 1860
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|u http://dx.doi.org/10.1007/b102786
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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