Mathematical Foundations of Neuroscience

Front Cover
Springer Science & Business Media, Jul 8, 2010 - Mathematics - 422 pages

Arising from several courses taught by the authors, this book provides a needed overview illustrating how dynamical systems and computational analysis have been used in understanding the types of models that come out of neuroscience.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Chapter 1 The HodgkinHuxley Equations
1
Chapter 2 Dendrites
29
Chapter 3 Dynamics
49
Chapter 4 Th e Variety of Channels
77
Chapter 5 Bursting Oscillations
102
Chapter 6 Propagating Action Potentials
129
Chapter 7 Synaptic Channels
157
Chapter 8 Neural Oscillators Weak Coupling
171
Chapter 9 Neuronal Networks FastSlow Analysis
241
Chapter 10 Noise
285
Chapter 11 Firing Rate Models
331
Chapter 12 Spatially Distributed Networks
368
References
407
Index
419
Copyright

Other editions - View all

Common terms and phrases

About the author (2010)

Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David H. Terman is Professor of Mathematics at the Ohio State University.

Bibliographic information