2005
DOI: 10.1007/11550822_6
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Dynamics of Cortical Columns – Self-organization of Receptive Fields

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Cited by 7 publications
(4 citation statements)
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“…The time constant a in equation 2.1 for the columnar dynamics 3.1 and 3.2 reflects the ability of the balanced network to rapidly stabilize new balanced states. In an earlier system with explicitly modeled spiking neurons (Lücke & von der Malsburg, 2004), the inputsensitive transition from fully active columns to states with just one active unit was possible within a ν-cycle of T = 25 ms. For the abstract dynamics 3.1 and 3.2 with 2.1, this behavior is reproduced for time constants of roughly a = 100 ms −1 (compare Lücke & Bouecke, 2005) and same T (to reset the system, we found that time intervals of about T init = 4 ms are sufficient). We choose the noise term in equation 2.1 to be relatively small, σ n = 1 × 10 −7 ms −1 , and the input is taken to just weakly couple to the column dynamics κ = 1.0 ms −1 (κ a ) as in Lücke and von der Malsburg (2004), Lücke (2004), and Lücke and Bouecke (2005).…”
Section: Simulationsmentioning
confidence: 64%
See 1 more Smart Citation
“…The time constant a in equation 2.1 for the columnar dynamics 3.1 and 3.2 reflects the ability of the balanced network to rapidly stabilize new balanced states. In an earlier system with explicitly modeled spiking neurons (Lücke & von der Malsburg, 2004), the inputsensitive transition from fully active columns to states with just one active unit was possible within a ν-cycle of T = 25 ms. For the abstract dynamics 3.1 and 3.2 with 2.1, this behavior is reproduced for time constants of roughly a = 100 ms −1 (compare Lücke & Bouecke, 2005) and same T (to reset the system, we found that time intervals of about T init = 4 ms are sufficient). We choose the noise term in equation 2.1 to be relatively small, σ n = 1 × 10 −7 ms −1 , and the input is taken to just weakly couple to the column dynamics κ = 1.0 ms −1 (κ a ) as in Lücke and von der Malsburg (2004), Lücke (2004), and Lücke and Bouecke (2005).…”
Section: Simulationsmentioning
confidence: 64%
“…In simulations on the basis of single spiking neurons (see Lücke & von der Malsburg, 2004), 25 ms have been found to be sufficient for these deactivations. The time constant a in equation 2.1 has been chosen to reproduce those deactivation times in the abstract dynamics used here (compare Lücke, 2005;Lücke & Bouecke, 2005). The exact value of the time constant is difficult to determine because to some extent, it can depend on details of neural time constants and connectivity within populations.…”
Section: Discussionmentioning
confidence: 99%
“…Using an oscillating ν the dynamics can make sensitive decisions during each oscillation (compare [1]). This behavior is further exploited in [2] where the dynamics is used to enable self-organization of RFs of minicolumns with far reaching computational capabilities.…”
Section: Resultsmentioning
confidence: 99%
“…Due to this behavior the macrocolumn is able to make very sensitive decisions with respect to external input. The decision making process can be used to induce selforganization of receptive fields as is shown in [2]. …”
mentioning
confidence: 99%