Abstract
The formation of feature-maps in the develo** visual cortex has become a central system for the study of cooperative phenomena in large neural networks, both theoretically[1, 2] and experimentally [3, 4]. With advanced optical imaging techniques [5, 6] it is now possible to monitor the activity of neural populations synchronously with a high spatial resolution. This kind of measurement should finally enable a comparison of experiment and mathematical theory in quantitative detail. In this contribution we start to outline the respective contributions of linear and nonlinear dynamics in the development of visual cortical maps, the different timescales, on which these qualitatively distinct processes take place and how their effects might be accessed experimentally in a quantitative fashion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Miller, K.D., Keller, J.B. & Stryker, M.P., Ocular Dominance Column Development: Analysis and Simulation, Science 245,605–615 (1989).
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).
Löwel, S., Singer, W., Selection of Intrinsic Horizontal Connections in the Visual Cortex by Correlated Neuronal Activity, Science 255,209–212 (1992).
Yuste, R., Alejandro, P., Katz, L.C., Neuronal Domains in the Develo** Neocortex, Science 257,665–669 (1992).
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).
Wolf, F., Pawelzik, P., Geisel, T., Kim, D.-S., Bonhoeffer, T., Map structure from Pinwheel Position, in S. Gielen & B. KappenICANN ‘83: Proceedings of the International Conference on Artificial Neural Networks(Springer, London, 1993), p. 131–135.
Wolf, F., Pawelzik, P., Geisel, T., Kim, D.-S., Bonhoeffer, T., Optimal Smoothness of Orientation Preference Maps, in E. Marder, F.H. Eeckman & J. Bower (eds.)Computation and Neural Systems II(Kluwer, Boston, in press).
von der Malsburg, Ch., Self-Organisation of Orientation Sensitive Cells in the Striate Cortex, Biol. Cybern. 14,85–100 (1973).
Swindale, N.V., A model for the formation of orientation columns, Proc. R. Soc. London 215,211–230 (1982).
Durbin, R., Mitchison, G., A dimension reduction framework for understanding cortical maps, Nature 343,644–647, (1990).
Miller, K.D., A Model for the Development of Simple Cell Receptive Fields and the Ordered Arrangement of Orientation Columns Through Activity-Dependent Competition between ON- and OFF-Center Inputs, J. Neurosci.14,1 (1994).
Manneville, P.Dissipative Structures and Weak Turbulence(Academic Press, 1990).
Rojer, A.S., Schwartz, E.L., Cat and Monkey Cortical Columnar Patterns Modeled by Bandpass-Filtered 2D White Noise, Biol. Cybern. 62,381–391 (1990).
Wörgötter, F., Niebur, E., Cortical column design: a link between the maps of preferred orientation and orientation tuning strength? Biol. Cybern.69(1993).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media New York
About this paper
Cite this paper
Wolf, F., Pawelzik, K., Geisel, T. (1995). Linear and Nonlinear Dynamics in the Development of Orientation Preference Maps. In: Bower, J.M. (eds) The Neurobiology of Computation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2235-5_59
Download citation
DOI: https://doi.org/10.1007/978-1-4615-2235-5_59
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5940-1
Online ISBN: 978-1-4615-2235-5
eBook Packages: Springer Book Archive