Tutorials in Mathematical Biosciences I : Mathematical Neuroscience PDF

by Alla Borisyuk, G. Bard Ermentrout, Avner Friedman, David H. Terman

Part of the Lecture Notes in Mathematics series

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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.