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Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 11: Nonlinear Dynamics

DY 11.3: Talk

Friday, March 4, 2005, 11:00–11:15, TU H2032

Retinotopic Projections: Self-Organization of Neural Maps in the Visual System — •Martin Güßmann1, Axel Pelster2, and Günter Wunner111. Institut für Theoretische Physik, Universität Stuttgart, Stuttgart, Germany — 2Fachbereich Physik, Universität Duisburg-Essen, Essen, Germany

Neural connections in the visual system of vertebrates exhibit the essential feature that they conserve neighbourhood relations between different sheets of nerve cells. For instance, neighbouring cells of the retina project onto neighbouring cells of the tectum, a part of the brain which plays an important role in processing optical information. We use a general model for the development of such retinotopic projections between manifolds of different geometries to investigate the generation of ordered patterns between two strings and two planes, respectively. The generation of retinotopic projections between two strings turns out to be very similar to the case of discrete linear chains analyzed previously by Häussler and v.d. Malsburg [1]. It is shown that both for strings and for planes the emerging retinotopic states correspond to stationary solutions of the Häussler-equations. Finally, we present some numerical results of these self-organization processes and discuss, in particular, the influence of different cooperation functions within the retina and tectum.

[1] A.F. Häussler and C. von der Malsburg, J. Theoret. Neurobiol. 2, 47 (1983)

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