Tutorials in Mathematical Biosciences I

Mathematical Neuroscience

AvAlla Borisyuk,G. Bard Ermentrout

Häftad, Engelska, 2005

Del 1860 i serien Lecture Notes in Mathematics

544 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2005-02-18
Mått:155 x 235 x 12 mm
Vikt:322 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:170
Upplaga:2005
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540238584

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "Each paper ends with a valuable bibliography. The volume introduces some basic theories on computational neuroscience. I recommend this volume as a very good book in mathematical neurosciences." (Ioan A. Rus, Zentralblatt MATH, Vol. 1062 (13), 2005) "The present volume, a collection of four articles, introduces some basic theories of mathematical and computational neuroscience. ... I found the book to be a very good tutorial in mathematical neuroscience, well written and organized. ... The core is a compilation of mathematical results from a rich bibliography ... . In conclusion, I strongly recommend this volume to any graduate student, postdoctoral fellow or researcher moving to the field of theoretical neuroscience." (Rodica Curtu, Mathematical Reviews, Issue 2007 d)

Innehållsförteckning

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.