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|a 10.1007/b102786
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|a Borisyuk, Alla.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Tutorials in Mathematical Biosciences I
|h [electronic resource] :
|b Mathematical Neuroscience /
|c by Alla Borisyuk, G. Bard Ermentrout, Avner Friedman, David H. Terman.
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|a 1st ed. 2005.
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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 Mathematical Biosciences Subseries,
|x 2524-678X ;
|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 Biomathematics.
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|a Differential equations.
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|a Mathematics-Data processing.
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|a Neurosciences.
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|a Bioinformatics.
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|a Mathematical and Computational Biology.
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|a Differential Equations.
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|a Computational Mathematics and Numerical Analysis.
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|a Neuroscience.
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|a Computational and Systems Biology.
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|a Ermentrout, G. Bard.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Friedman, Avner.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Terman, David H.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783540805137
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|i Printed edition:
|z 9783540238584
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|a Mathematical Biosciences Subseries,
|x 2524-678X ;
|v 1860
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|a Mathematics and Statistics (SpringerNature-11649)
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