Local interaction in retinal ganglion cell mosaics can generate a consistent spatial periodicity in cortical functional maps

BMC Neuroscience, Dec 2015

Jaeson Jang, Se-Bum Paik

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Local interaction in retinal ganglion cell mosaics can generate a consistent spatial periodicity in cortical functional maps

Jang and Paik BMC Neuroscience Local interaction in retinal ganglion cell mosaics can generate a consistent spatial periodicity in cortical functional maps Jaeson Jang 0 Se-Bum Paik 0 0 Department of Bio and Brain Engineering , KAIST, Daejeon, 305-701 , Republic of Korea - From 24th Annual Computational Neuroscience Meeting: CNS*2015 Prague, Czech Republic. 18-23 July 2015 Orientation map is one of the most studied functional maps in visual cortex, but the developmental mechanism of its consistent spatial periodicity is still elusive. Recently, a theoretical model suggested that a moiré interference pattern between ON and OFF retinal ganglion cell (RGC) mosaics can develop a quasi-periodic orientation map, but it is remained unclear how this can explain the constant periodicity of the maps [ 1 ]. Here we suggest a developmental model that a simple local interaction in RGCs can generate a consistent spatial periodicity of orientation preference, by inducing (i) a hexagonal lattice structure in ON/OFF RGC mosaics and (ii) a constant alignment angle between them. First, we introduced a developmental model of a monotypic RGC mosaic to show that a local repulsive interaction can generate a hexagonal structure (Figure 1A). Previously, in the model study of the pairwise interaction point process, it was suggested that a local interaction alone cannot develop a long-range order in the mosaic structure [ 2 ]. We assumed a different type of local repulsive interaction that the cell positions can be gradually shifted by a repulsion from the neighbor cells and confirmed that this model can develop a long-range ordered structure that is well fitted to a hexagonal lattice. Next, we assumed that there also exists a heterotypic repulsive interaction between ON and OFF RGC mosaics and examined how this can affect the alignment between the two mosaics (Figure 1B). When the inter-layer distance between ON/OFF mosaics was varied within a proper interval, the hexagonal structure was preserved in each mosaic, but the alignment angle (θ) between the two mosaics was restricted within a certain range of angles, and this induced a constant spatial periodicity in the ON/ OFF interference pattern (Figure 1C). As observed in the moiré interference, we confirmed a consistent hexagonal periodicity in the cortical orientation map that are simulated by statistical wiring model from the developed RGC mosaics (Figure 1D,E) [ 3 ]. Conclusions Our result suggests that a local repulsive interaction in RGC mosaics can generate a hexagonal structure in ON/ OFF RGC mosaics and a restricted alignment between them. The interference between mosaics induces a consistent spatial periodicity in cortical orientation map as predicted by the moiré interference pattern. 1. Paik SB , Ringach DL : Retinal origin of orientation maps in visual cortex . Nat Neurosci 2011 , 14 : 919 - 925 . 2. Hore VR a, Troy JB , Eglen SJ : Parasol cell mosaics are unlikely to drive the formation of structured orientation maps in primary visual cortex . Vis Neurosci 2012 , 29 ( 6 ): 283 - 299 . 3. Ringach DL : Haphazard wiring of simple receptive fields and orientation columns in visual cortex . J Neurophysiol 2004 , 92 ( 1 ): 468 - 476 .


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Jaeson Jang, Se-Bum Paik. Local interaction in retinal ganglion cell mosaics can generate a consistent spatial periodicity in cortical functional maps, BMC Neuroscience, 2015, P192,