Abstract

Primate vision research has shown that in the retinotopic map of the primary visual cortex, eccentricity and meridional angle are mapped onto two orthogonal axes [1]: whereas the eccentricity is mapped onto the nasotemporal axis, the meridional angle is mapped onto the dorsoventral axis. Such a map has been approximated by a complex log map [1]. While the development of the map along the nasotemporal axis is controlled by a combination of EphA-ephrin-A signaling as well as spontaneous retinal waves; the mechanisms involved in the map formation along the dorsoventral axis are still unknown [2]. Neural models with correlational learning have successfully explained other visual maps like orientation maps and ocular-dominance maps. No such network models of retinotopic map development exist. In this paper we propose an activity based model which simulates the largescale development of the retinotopic map along the dorsoventral axis. The architecture consists of a LISSOM (Laterally Interconnected Synergetically Self Organizing Map) [3] with 2 layers; representing the retina, and the V1 respectively (see Figure 1A). At each time step, each neuron in V1, combines the afferent activation (ζr1,r2) along with its lateral excitations and inhibitions (hkl) from the previous time step.

Highlights

  • Primate vision research has shown that in the retinotopic map of the primary visual cortex, eccentricity and meridional angle are mapped onto two orthogonal axes [1]: whereas the eccentricity is mapped onto the nasotemporal axis, the meridional angle is mapped onto the dorsoventral axis

  • After training for 750 iterations, it may be observed in the developed map that eccentricity is mapped along the x-axis while the meridional angle is mapped along the y-axis, an organization that bears strong resemblance to the complex logarithmic map [1]

  • A neural activity based model for the development of retinotopic map along the dorsoventral axis is demonstrated and the final map developed is compared with experimental results approximated by the complex log map equations

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Summary

Introduction

Primate vision research has shown that in the retinotopic map of the primary visual cortex, eccentricity and meridional angle are mapped onto two orthogonal axes [1]: whereas the eccentricity is mapped onto the nasotemporal axis, the meridional angle is mapped onto the dorsoventral axis. Ηij(t) = σ ( ζr1,r2 μij,r1r2 + γE Eij,kl ηkl(t − 1)− γI Iij,kl ηkl(t − 1))

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