Mathematical Foundations of Neuroscience

• Main Authors: Ermentrout, G. Bard (Author), Terman, David H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2010.
• Series: Interdisciplinary Applied Mathematics, 35
• Subjects: Mathematics.; Neurosciences.; Neurobiology.; Biomathematics.; Mathematical and Computational Biology.

This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important...

Table of Contents:

• The Hodgkin–Huxley Equations
• Dendrites
• Dynamics
• The Variety of Channels
• Bursting Oscillations
• Propagating Action Potentials
• Synaptic Channels
• Neural Oscillators: Weak Coupling
• Neuronal Networks: Fast/Slow Analysis
• Noise
• Firing Rate Models
• Spatially Distributed Networks.