Figure 6

Color plot illustrating the parameter regimes for existence and non-existence of a gain band as a function of the heterogeneity parameter \(\alpha _{qp}\); (\(q,p=e,i\)) and the relative inhibition time τ. Blue (transparent) shaded regions correspond to existence (non-existence) of a gain band. The separatrix curve (black) depicts the graph of the critical relative inhibition time \(\tau _{c}\) as a function of α̂: \(\tau _{c}=\tau _{c}(\hat{\alpha }),\hat{\alpha }\in [0,1)\). The connectivity functions are given by (8) and (21) and the synaptic footprint functions as (26) with the averaged synaptic footprints fixed as (27). Input parameters are given by Set B in Table 1. (a); \(q=p=e\), \(\hat{a}=(\alpha _{ie},\alpha _{ei},\alpha _{ii})=0\), \(\hat{\alpha }=\alpha _{ee}\), in (b): \(q=i,p=e\), \(\hat{a}=(\alpha _{ee},\alpha _{ei},\alpha _{ii})=0\), \(\hat{\alpha }=\alpha _{ie}\), in (c): \(q=e,p=i\), \(\hat{a}=(\alpha _{ee},\alpha _{ie},\alpha _{ii})=0\), \(\hat{\alpha }=\alpha _{ei}\), and in (d): \(q=p=i\), \(\hat{a}=(\alpha _{ee},\alpha _{ie},\alpha _{ei})=0\), \(\hat{\alpha }=\alpha _{ii}\)