Title: Tutorials in Mathematical Biosciences I: Mathematical Neuroscience | Author(s): Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman (auth.) | Publisher: Springer | Year: 2005 | Language: English | Pages : 170 | ISBN: 3540238581, 9783540238584 | Size: 3 MB | Extension: pdf 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 Parkinsons 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. Table of contents : Introduction to Neurons....Pages 1-20An Introduction to Dynamical Systems and Neuronal Dynamics....Pages 21-68Neural Oscillators....Pages 69-106Physiology and Mathematical Modeling of the Auditory System....Pages 107-168