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. 2011 Nov 26;6(4):307–324. doi: 10.1007/s11571-011-9183-8

Fig. 2.

Fig. 2

Contour plots illustrating spatial part of loop kernel (a, b) and model impulse-response functions (c, d) for relay-cell (DOG model) and impulse-response “input” to cortical cell (e, f). Functions are shown in Fourier-space in the left column (a, c, e) and in real space in the right column (b, d, f). (a) Fourier-space loop kernel for cortical feedback loop modeled as a Gaussian ellipse, Inline graphic in Eq. 20n = π/4, σn = 0.1 deg, σl = 1.4 deg, Inline graphic). (b) Inline graphic Eq. 19 corresponding to Inline graphic. (c) Fourier-space relay-cell DOG model Inline graphic from Eq. 7 (A 1 = 1, a 1 = 0.25 deg, A 2 = 0.85, and a 2 = 0.83 deg). (d) f DOG(r) (from Eq. 6) corresponding to Inline graphic. (e) Fourier-transformed input to cortical cell Inline graphic. The spatial parameters for the feedforward coupling kernel Inline graphic are chosen a factor Inline graphic smaller than for the loop kernel Inline graphic, i.e., σn = 0.07 deg, σl = 0.99 deg, while Inline graphic. With the same spatial parameters for a similarly modeled feedback coupling kernel Inline graphic, one would get the loop kernel Inline graphic in panel (a). (f) Inline graphic found by an inverse Fourier-transform of Inline graphic. In panels (a), (b), (c) and (e) white corresponds to the zero level; in panels (d) and (f) white corresponds to a negative value to illustrate the negative lobes of the LGN (DOG) receptive fields and input to cortical cells (subthreshold receptive fields)