Coverage, continuity, and visual cortical architecture.

Neural Systems & Circuits
Wolfgang Keil, Fred Wolf

Abstract

The primary visual cortex of many mammals contains a continuous representation of visual space, with a roughly repetitive aperiodic map of orientation preferences superimposed. It was recently found that orientation preference maps (OPMs) obey statistical laws which are apparently invariant among species widely separated in eutherian evolution. Here, we examine whether one of the most prominent models for the optimization of cortical maps, the elastic net (EN) model, can reproduce this common design. The EN model generates representations which optimally trade of stimulus space coverage and map continuity. While this model has been used in numerous studies, no analytical results about the precise layout of the predicted OPMs have been obtained so far. We present a mathematical approach to analytically calculate the cortical representations predicted by the EN model for the joint mapping of stimulus position and orientation. We find that in all the previously studied regimes, predicted OPM layouts are perfectly periodic. An unbiased search through the EN parameter space identifies a novel regime of aperiodic OPMs with pinwheel densities lower than found in experiments. In an extreme limit, aperiodic OPMs quantitatively resemblin...Continue Reading

References

Jul 28, 1977·Proceedings of the Royal Society of London. Series B, Containing Papers of a Biological Character·D H Hubel, T N Wiesel
Jan 5, 1979·Science·D N Spinelli, F E Jensen
Dec 15, 1992·Proceedings of the National Academy of Sciences of the United States of America·E Bartfeld, A Grinvald
Jan 1, 1992·Biological cybernetics·E ErwinK Schulten
Nov 1, 1990·Proceedings of the National Academy of Sciences of the United States of America·K ObermayerK Schulten
Feb 15, 1990·Nature·R Durbin, G Mitchison
May 26, 1988·Nature·Y FrégnacE Bienenstock
Dec 1, 1987·Journal of the Optical Society of America. A, Optics and Image Science·D J Field
Nov 1, 1986·Proceedings of the National Academy of Sciences of the United States of America·R Linsker
Nov 1, 1986·Proceedings of the National Academy of Sciences of the United States of America·R Linsker
May 22, 1982·Proceedings of the Royal Society of London. Series B, Containing Papers of a Biological Character·N V Swindale
Jun 18, 1993·Science·A Antonini, M P Stryker
Jul 25, 1996·Nature·F WolfT Geisel
Nov 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M StetterE W Lang
Apr 8, 1985·Physical Review Letters·N D Mermin, S M Troian
Aug 4, 1999·Visual Neuroscience·P A Hetherington, N V Swindale
Jul 6, 2000·Network : Computation in Neural Systems·G J Goodhill, A Cimponeriu
Jul 21, 2000·Nature Neuroscience·N V SwindaleM Hübener
Jul 25, 2000·Cerebral Cortex·N V Swindale
Nov 18, 2000·Science·J C Crowley, L C Katz
Mar 29, 2001·Nature Neuroscience·U A ErnstM V Tsodyks
Apr 24, 2001·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·P C BressloffM C Wiener
Aug 27, 2002·Nature Neuroscience·William H BoskingDavid Fitzpatrick
Dec 6, 2002·Cerebral Cortex·Jennifer S LundPaul C Bressloff
Feb 26, 2003·Proceedings of the National Academy of Sciences of the United States of America·Kukjin KangHaim Sompolinsky
Aug 20, 2003·The European Journal of Neuroscience·Péter BuzásZoltán F Kisvárday
Dec 16, 2003·Proceedings of the National Academy of Sciences of the United States of America·Ha Youn LeeMehran Kardar
Feb 10, 2004·Journal of Physiology, Paris·F Wolf, T Geisel
Mar 5, 2004·Journal of Neurophysiology·Dario L Ringach
Mar 16, 2004·Science·Takao K Hensch, Michael P Stryker
Jun 1, 2004·Physical Review Letters·Peter J Thomas, Jack D Cowan

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Citations

Apr 20, 2014·Journal of Mathematical Neuroscience·D BarbieriA Sarti
Feb 17, 2015·Developmental Neurobiology·Stuart P Wilson, James A Bednar
Feb 5, 2014·Current Opinion in Neurobiology·Matthias Kaschube
Nov 21, 2015·PLoS Computational Biology·Alberto RomagnoniJonathan Touboul
Nov 18, 2015·PLoS Computational Biology·Manuel SchottdorfFred Wolf
Mar 13, 2014·PloS One·Alexander NakhnikianJohn M Beggs
May 5, 2017·Proceedings of the National Academy of Sciences of the United States of America·Marvin WeigandHermann Cuntz
Oct 25, 2017·PLoS Computational Biology·James Rankin, Frédéric Chavane

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