M. Golubitsky, YJ. Wang, Y. Zhao and Z-L. Lu

The Symmetry of Generalized Rivalry Network Models Determines Patterns of Interocular Grouping in Four-Location Binocular Rivalry

preprint. Submitted.


Previously, symmetry of network models have been proposed to account for interocular grouping during binocular rivalry. Here, we construct and analyze generalized rivalry network models with different types of symmetry (based on different kinds of excitatory coupling) to derive predictions of possible perceptual states in eight experiments with four retinal locations. Percepts in binocular rivalry involving more than three locations have not been empirically investigated due to the difficulty in reporting simultaneous percepts at multiple locations. Here, we develop a novel reporting procedure in which the stimulus disappears when the subject is cued to report the simultaneously perceived colors in all four retinal locations, to ensure that simultaneous rather than sequential percepts are reported. The procedure was applied in eight experiments with six binocular rivalry stimulus configurations, all consisted of dichoptic displays of red and green squares at four locations. We call configurations with an even (resp.~odd) number of red squares {\em even} (resp.~{\em odd}) configurations. In experiments using even stimulus configurations, we found that even percepts were more frequently observed than odd percepts, whereas in experiments using odd stimulus configurations even and odd percepts were observed with equal probability. The generalized rivalry network models in which couplings depend on stimulus features and spatial configurations was in better agreement with the empirical results. We conclude that in binocular rivalry, coupling between neural representations of input stimulus depends on the feature values and spatial configuration of the representations.