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Introduction vii
Nomenclature xx
List of Contributors xxii
1 A brief introduction to some simple stochastic processes Benjamin Lindner 1
2 Markov chain models of ion channels and calcium release sites Jeffrey R. Groff Hilary DeRemigio Gregory D. Smith 29
3 Stochastic dynamic bifurcations and excitability Nils Berglund Barbara Gentz 65
4 Neural coherence and stochastic resonance Andrè Longtin 94
5 Noisy oscillators Bard Ermentrout 124
6 The role of variability in populations of spiking neurons Brent Doiron 153
7 Population density methods in large-scale neural network modelling Daniel Tranchina 181
8 A population density model of the driven LGN/PGN Marco A. Huertas Gregory D. Smith 217
9 Synaptic 'noise': Experiments, computational consequences and methods to analyse experimental data Alain Destexhe Michelle Rudolph-Lilith 242
10 Statistical models of spike trains Liam Paninski Emery N. Brown Satish Iyengar Robert E. Kass 272
11 Stochastic simulation of neurons, axons, and action potentials A. Aldo Faisal 297
12 Numerical simulations of SDEs and SPDEs from neural systems using SDELab Hasan Alzubaidi Hagen Gilsing Tony Shardlow 344
Index 367
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