Table 1 Symbol definitions and parameter values for 1-D Wilson–Cowan model
From: Noise-Induced Precursors of State Transitions in the Stochastic Wilson–Cowan Model
Symbol | Description | Value (homogeneous) | Value (space dependent) | Unit |
|---|---|---|---|---|
E, I | Excitatory and inhibitory firing rates | (ms)−1 | ||
\(S_{E}\), \(S_{I}\) | Sigmoid functions | (ms)−1 | ||
\(\tau_{E,I}\) | E and I time constants | 10, 8 | 10, 8 | ms |
\(b_{EE, EI, IE, II}\) | Synaptic coupling strength | 18, 10, 10, 0 | 18, 10, 19, 0 | mV⋅ms |
\(\sigma_{EE}\) | E→E space constant | 50 | 43, 50 | μm |
\(\sigma_{EI}\) | E→I space constant | 110 | [42–148.5] | μm |
\(\sigma_{IE}\) | I→E space constant | 110 | [42–148.5] | μm |
\(\sigma_{II}\) | I→I space constant | 20 | 20 | μm |
\(S_{E,I}^{\max}\) | Maximum firing rate | 0.1, 0.15 | 0.1, 0.15 | (ms)−1 |
\(a_{E,I}\) | Sigmoid slope at threshold | 9 | 9 | (mV)−1 |
\(\theta_{E,I}\) | Half-maximum firing threshold | 2.2 | 2.2 | mV |
P, Q | Exogenous voltage inputs | [0.9–3.3], 1.35 | [0.9–3.3], 1.35 | mV |