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Table 2 Excitatory connection strengths mediate different firing regimes

From: Investigating the Correlation–Firing Rate Relationship in Heterogeneous Recurrent Networks

 

Parameter

\(W_{EI}\) (IE)

\(W_{IE}\) (EI)

\(W_{EE}\)

\(W_{II}\)

\(\sigma_{E}\)

\(\sigma_{I} \)

Figures

Asynchronous

10

5

0.5

5

\(2/\sqrt{2}\)

\(3/\sqrt{2}\)

Figs. 1, 2, 5(A) and (B)

Str. Asynch.

10

8

9

5

\(1.5/\sqrt{2}\)

\(2.5/\sqrt{2}\)

Figs. 3, 5(C) and (D)

% connectivity

35 %

20 %

40 %

40 %

   
  1. Connectivity details for networks examined in Sect. 2.2. Here \(W_{YX}\) denotes XY connections; e.g. \(W_{IE}\) denotes the strength of excitatory connections onto inhibitory neurons. The parameter \(\sigma_{i}\) denotes the strength of background noise in units of (scaled) voltage, and depends only on cell type (E or I). The parameters \(W_{EE}\), \(W_{IE}\), \(\sigma_{E}\) and \(\sigma_{I}\) will vary in Sects. 2.4 and 2.5; see text for details. For reference, \(W_{XY}=1\) is when the presynaptic input is exactly the average population firing rate (filtered by the synapse) in an all-to-tall homogeneous network.