Mathematical foundations of neuroscience
@inproceedings{Ermentrout2010MathematicalFO,
title={Mathematical foundations of neuroscience},
author={G. Bard Ermentrout and David H. Terman},
year={2010}
}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.
1,037 Citations
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Renewal theory of coupled neuronal pools: stable states and slow trajectories.
- BiologyPhysical review. E, Statistical, nonlinear, and soft matter physics
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A theory is provided to analyze the dynamics of delay-coupled pools of spiking neurons based on stability analysis of stationary firing. Transitions between stable and unstable regimes can be…
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