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Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks

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Abstract

The transformation of spatial patterns and their storage in short term memory by shunting neural networks are studied herein. Various mechanisms are described for real-time regulation of the amount of contrast with which a pattern will be stored. Parametric studies are described for the amount of contrast in the network responses to patterns presented at variable background or overall activity levels. Mechanisms for removing spurious peak splits and other disinhibitory responses are described. Furman's (1965) results on processing of patterns by shunting networks are generalized and reanalysed. Periodic responses (stable and unstable) corresponding to the time scale of slow cortical waves can be generated if a tonic input is set between two threshold activity levels. Their frequency as a function of tonic input size is unimodal. Order-preserving limit cycles are never found in STM; hence sustained slow oscillations as a mechanism for storing a pattern in STM are ruled out in favor of steady states (i.e., fast oscillations) with spatially graded activity levels. Such slow oscillations can, nonetheless, continuously retune the network's responsiveness to the patterns that perturb it.

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Supported in part by the Advanced Research Projects Agency under the Office of Naval Research (N00014-70-A-0362-0006).

After January 1, 1975, Dr. Ellias' address will be Department of Applied Mathematics, California Institute of Technology, Pasadena, California.

Supported in part by the Office of Naval Research (N00014-67-A-0204-0051) and the Advanced Research Projects Agency (DAHC 15-73-C-0320) administered by Computer Corporation of America.

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Ellias, S.A., Grossberg, S. Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks. Biol. Cybernetics 20, 69–98 (1975). https://doi.org/10.1007/BF00327046

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