Abstract
We propose a mathematical description for the spatial organization of orientation preference in the visual cortex. In this approach the spatial pattern of orientation preference is predicted from position and chirality of its singularities (i.e. ”pinwheels”). The theory is derived from a few phenomenological principles characterizing the qualitative structure of orientation maps under the requirement of mathematical simplicity. A comparison with optically recorded images of cortical maps suggests that orientation preference can be predicted over a much larger spatial range than previously estimated on the basis of correlation measurements.
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Bibliography
Grinvald, A., Lieke, E., Frostig, R.D., Gilbert, C.D. & Wiesel, T.N., Functional architecture of cortex revealed by optical imaging of intrinsic signals, Nature 324, 361–364 (1986).
Blasdel, G.G., Salama, G., Voltage-sensitive dyes reveal a modular organization in monkey striate cortex, Nature 321, 579–585 (1986).
Bonhoeffer, T., Grinvald, A., Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patterns, Nature 343, 429–431 (1991).
Obermayer, K., Schulten, K., & Blasdel, G.G., A comparison between a neural network model for the formation of brain maps and experimental data, in Neural Information Processing Systems 4, eds. Moody, E.M., Hanson, S.J. & Lippmann, R.P., (Morgan Kaufmann, 1992).
Obermayer, K., Blasdel, G.G., & Schulten, K., Statistical-mechanical analysis of self-organization and pattern formation during the development of visual maps, Phys. Rev. A 45,7568–7589 (1992).
Niebur, E., Wörgötter, F., Orientation columns from first principles, in Computation and Neural Systems, eds. Bower, J., Eeckmann, F., (Kluwer, 1993).
Swindale, N.V., Matsubara, J. & Cynader, M.S., Surface organization of orientation and direction selectivity in cat area 18, J. Neurosci. 7, 1414–1427 (1987).
Swindale, N.V., Cynader, M.S. & Matsubara, J., Cortical cartography: A two-dimensional view, in Computational Neuroscience, ed. Schwartz, EX., (MIT-Press, Cambridge, 1990).
Jones, D.G., Van Sluyters, R.C. & Murphy, K.M., A computational model for the overall pattern of ocular dominance, J. Neurosci. 12, 3794–3808 (1991).
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© 1993 Springer-Verlag London Limited
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Wolf, F., Pawelzik, K., Geisel, T., Kim, DS., Bonhoeffer, T. (1993). Map Structure from Pinwheel Position. In: Gielen, S., Kappen, B. (eds) ICANN ’93. ICANN 1993. Springer, London. https://doi.org/10.1007/978-1-4471-2063-6_30
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DOI: https://doi.org/10.1007/978-1-4471-2063-6_30
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