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Retina and Optic Tectum in Amphibians: A Mathematical Model and Simulation Studies

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Visuomotor Coordination

Abstract

The processing of visual information within the retino-tectal system of amphibians is decomposed into five major operational stages, three of them taking place in the retina and two in the optic tectum. The stages in the retina involve (i) a spatially local high-pass filtering in connection to the perception of moving objects, (ii) separation of the receptor activity into on- and off-channels regarding the distinction of objects moving against light or dark backgrounds, (iii) spatial integration via near excitation and far-reaching inhibition. Variation of the spatial range of excitation and inhibition allows to account for typical activities observed in a variety of classes of retinal ganglion cells. A mathematical description of the operations in the optic tectum include (a) spatial summation of retinal output (mainly of class R2 and class R3 retinal ganglion cells), and (b) lateral inhibition between tectal cells. In the computer simulation, first the output of the mathematical retina model is computed which, then, is used as the input to the tectum model. The full spatiotemporal dynamics is taken into account. The simulations show that different combinations of strength of lateral inhibition on the one side and the response properties of the retinal ganglion cells on the other side determine the response properties of tectal cell types T5.1, T5.2, and T5.3 involved in object recognition.

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an der Heiden, U., Roth, G. (1989). Retina and Optic Tectum in Amphibians: A Mathematical Model and Simulation Studies. In: Ewert, JP., Arbib, M.A. (eds) Visuomotor Coordination. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0897-1_7

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  • DOI: https://doi.org/10.1007/978-1-4899-0897-1_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0899-5

  • Online ISBN: 978-1-4899-0897-1

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