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Mathematical neuroscience / Alla Borisyuk [and others].

Contributor(s): Borisyuk, Alla | Mathematical Biosciences Institute at the Ohio State UniversityMaterial type: TextTextSeries: Tutorials in mathematical biosciences ; 1. | Lecture notes in mathematics (Springer-Verlag) ; 1860. | Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries.Publication details: Berlin ; New York : Springer, ©2005. Description: 1 online resource (ix, 170 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 3540238581; 9783540238584; 9783540315445; 3540315446; 9786611401757; 661140175XSubject(s): Neurosciences -- Mathematics | Computational neuroscience | Neurosciences | Models, Neurological | Nerve Net | Nervous System | Models, Biological | Biological Science Disciplines | Natural Science Disciplines | Models, Theoretical | Anatomy | Investigative Techniques | Disciplines and Occupations | Analytical, Diagnostic and Therapeutic Techniques and Equipment | Neurosciences -- Mathématiques | Neurosciences informatiques | Computational neuroscience | Neurosciences -- Mathematics | Biology - General | Mathematical Theory | Mathematics | Biology | Physical Sciences & Mathematics | Health & Biological Sciences | Neural circuitry -- Mathematical models | Auditory pathwaysGenre/Form: Electronic books. Additional physical formats: Print version:: Mathematical neuroscience.DDC classification: 510 s | 612.8/0151 LOC classification: QA3 | .L28 no. 1860NLM classification: WL 100Online resources: Click here to access online In: Springer e-booksSummary: 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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"These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University"--Preface.

Includes bibliographical references and index.

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.

English.

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