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New & Forthcoming Titles | Tutorials in Mathematical Biosciences I - Mathematical Neuroscience

Tutorials in Mathematical Biosciences I

Mathematical Neuroscience

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

2005, IX, 170p.

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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.

Content Level » Research

Keywords » Computational Neuroscience - Cortex - anatomy - auditory system - dynamical systems - neural oscillations - neuronal dynamics - neurons - physiology

Related subjects » Computational Science & Engineering - Dynamical Systems & Differential Equations - Neuroscience - Systems Biology and Bioinformatics

Table of 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.

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