Mathematical Biosciences Subseries

Tutorials in Mathematical Biosciences I

Mathematical Neuroscience

Authors: Borisyuk, A., Ermentrout, G.B., Friedman, A., Terman, D.H.

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About this Textbook

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.

Reviews

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)


Table of contents (4 chapters)

  • Introduction to Neurons

    Friedman, Avner

    Pages 1-20

  • An Introduction to Dynamical Systems and Neuronal Dynamics

    Terman, David

    Pages 21-68

  • Neural Oscillators

    Ermentrout, Bard

    Pages 69-106

  • Physiology and Mathematical Modeling of the Auditory System

    Borisyuk, Alla

    Pages 107-168

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-31544-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.95
price for USA
  • ISBN 978-3-540-23858-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Tutorials in Mathematical Biosciences I
Book Subtitle
Mathematical Neuroscience
Authors
Series Title
Mathematical Biosciences Subseries
Series Volume
1860
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-31544-5
DOI
10.1007/b102786
Softcover ISBN
978-3-540-23858-4
Edition Number
1
Number of Pages
X, 170
Topics