Figure 23

Optimal solutions of the EN model for uniform stimulus ensemble and fixed representation of visual space. (a) At criticality, the phase space of this model is parameterized by either the continuity parameter η (blue labels) or the effective interaction range σ/Λ (red labels, see text). (b, c) OPMs (b) and their power spectra (c) in a simulation of Equation (3) with r(x) = 0, r = 0.1, σ/Λ = 0.12 (η = 0.57) and uniform stimulus ensemble. (d) Analytically predicted optimum for σ/Λ ≲ 0.15 (rPWC). (e) Pinwheel density time courses for four different simulations (parameters as in b; gray traces, individual realizations; black trace, simulation in b; red trace, mean value). (f) Mean squared amplitude of the stationary pattern in simulations (parameters as in b) for different values of the control parameter r (black circles) and analytically predicted value (solid green line). (g, h) OPMs (g) and their power spectra (h) obtained in a simulation of Equation (3) with r(x) = 0, r = 0.1, σ/Λ = 0.15 (η = 0.41) and uniform stimulus ensemble. (i) Analytically predicted optimum for σ/Λ ≳ 0.15 (orientation stripes). (j) Pinwheel density time courses for four different simulations (parameters as in g; gray traces, individual realizations; black trace, simulation in g; red trace, mean value). (k) Mean squared amplitude of the stationary pattern in simulations (parameters as in g) for different values of the control parameter r (black circles) and analytically predicted value (solid green line).