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Tutorials in Mathematical Biosciences I : Mathematical Neuroscience / by Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman.
- Format:
- Book
- Author/Creator:
- Borisyuk, Alla, author.
- Friedman, Avner, author.
- Ermentrout, Bard, author.
- Terman, Dave, 1963- author.
- Series:
- Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries 2524-6771 ; 1860.
- Mathematical Biosciences Subseries, 2524-6771 ; 1860
- Language:
- English
- Subjects (All):
- Differential equations.
- Differential equations, Partial.
- Computer science--Mathematics.
- Computer science.
- Neurobiology.
- Biology--Data processing.
- Biology.
- Mathematical and Computational Biology.
- Ordinary Differential Equations.
- Partial Differential Equations.
- Computational Mathematics and Numerical Analysis.
- Computer Appl. in Life Sciences.
- Local Subjects:
- Mathematical and Computational Biology.
- Ordinary Differential Equations.
- Partial Differential Equations.
- Computational Mathematics and Numerical Analysis.
- Neurobiology.
- Computer Appl. in Life Sciences.
- Physical Description:
- 1 online resource (X, 170 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540315445
- Access Restriction:
- Restricted for use by site license.
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