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Figure 6 | Neural Systems & Circuits

Figure 6

From: Coverage, continuity, and visual cortical architecture

Figure 6

Optimal solutions of the EN model with a circular orientation stimulus ensemble [57, 64–66, 91]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 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 and r = 0.1, σ/Λ = 0.1 (η = 0.67) and circular stimulus ensemble (see also Additional file 1). (d) Analytically predicted optimum for σ/Λ ≲ 0.122 (quadratic pinwheel crystal). (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, obtained 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) in a simulation of Equation (3) with r(x) = 0 and σ/Λ = 0.15 (η = 0.41) (other parameters as in b, see also Additional file 2). (i) Analytically predicted optimum for σ/Λ ≳ 0.122 (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, obtained in simulations (parameters as in g) for different values of the control parameter r (black circles) and analytically predicted value (solid green line).

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