Tutorials in Mathematical Biosciences I: Mathematical Neuroscience (Lecture Notes in Mathematics / Mathematical Biosciences Subseries)

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.G. Bard Ermentrout is the author of 'Tutorials in Mathematical Biosciences I: Mathematical Neuroscience (Lecture Notes in Mathematics / Mathematical Biosciences Subseries)', published 2005 under ISBN 9783540238584 and ISBN 3540238581.