Abstract
The pinwheel-like arrangement of iso-orientation domains around orientation centers is a ubiquitous structural element of orientation preference maps in primary visual cortex. Here we investigate how activity-dependent mechanisms constrain the way in which orientation centers can form during visual development. We consider the dynamics of a large class of models for the activity-dependent self-organization of orientation preference maps. We prove for this class of models that the density of orientation centers which proliferate as the map arises from a homogeneous state exhibits a universal lower bound. Due to topological constraints the density of orientation centers can only change by discrete creation and annihilation events. Consequently activity-dependent self-organization of orientation preference implies that low densities of orientation centers develop through an initial overproduction and subsequent annihilation of pinwheels. Monitoring the density of orientation centers during development therefore offers a powerful novel approach to test whether orientation preference arises by activity-dependent mechanisms or is genetically predetermined.
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References
Grinvald, A., Frostig, R. D., Lieke, E., and Hildesheimer, R. Physiological Reviews 68, 1285–1365 (1988).
Swindale, N. Network: Computation in Neural Systems 7, 161–247 (1996).
Ts’o, D. Y., Frostig, R. D., Lieke, E. E., and Grinvald, A. Science 249, 417–249 (1990).
Bonhoeffer, T. and Grinvald, A. Nature 353, 429–431 (1991).
Bonhoeffer, T., Kim, D.-S., Malonek, D., Shoham, D., and Grinvald, A. Europ. J. Neuroscience 7, 1973–1988 (1995).
Blasdel, G. G. J. Neuroscience 12, 3139–3161 (1992).
Blasdel, G., Livingstone, M., and Hubel, D. In Soc. Neurosci. Abstracts, volume 12, 1500. Society for Neuroscience, (1993).
Weliky, M. and Katz, L. C. J Neuroscience 14, 7291–7305 (1994).
Fitzpatrick, D., Schofield, B. R., and Strote, J. In Soc. Neurosci. Abstracts, 837. Society for Neuroscience, (1994).
Albus, K. In Models of the Visual Cortex, Rose, D. and Dobson, V., editors, chapter 51, 485–491. Wiley (1985).
Obermayer, K. and Blasdel, G. G. J. Neuroscience 13, 4114129 (1993).
Miller, K. D. In Models of Neural Networks III, Domany, E., van Hemmen, J., and Schulten, K., editors. Springer-Verlag, NY (1995).
Adler, R. J. The Geometry of Random Fields. John Wiley, NY, (1981).
Halperin, B. I. In Physics of Defects, Les Houches, Session XXXV 1980, Balian, R., Kléman, M., and Poirier, J.-P., editors ( North-Holland, Amsterdam, 1981 ).
Erwin, E., Obermayer, K., and Schulten, K. Neural Computation 7, 425–468 (1995).
Wiesel, T. N. and Hubel, D. H. J. Comp. Neurol. 158, 307–318 (1974).
Stryker, M. P. In Neuroscience Res. Prog. Bull., Vol. 15, No.3, chapter VII, 454–462. MIT Press (1977).
Changeux, J.-P. and Danchin, A. Nature 264, 705–712 (1976).
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Wolf, F., Geisel, T. (1997). Activity-Dependent Self-Organization of Orientation Preference Predicts a Transient Overproduction of Pinwheels during Visual Development. In: Bower, J.M. (eds) Computational Neuroscience. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9800-5_136
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DOI: https://doi.org/10.1007/978-1-4757-9800-5_136
Publisher Name: Springer, Boston, MA
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