Tutorials in Mathematical Biosciences I: Mathematical Neuroscience: v. 1 (Lecture Notes in Mathematics / Mathematical Biosciences Subseries)

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

• New

  Paperback
  2005

  $53.04

  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.