Effects of Time-Dependent Stimuli in a Competitive Neural Network Model of Perceptual Rivalry

Suren Jayasuriya, Zachary P. Kilpatrick

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We analyze a competitive neural network model of perceptual rivalry that receives time-varying inputs. Time-dependence of inputs can be discrete or smooth. Spike frequency adaptation provides negative feedback that generates network oscillations when inputs are constant in time. Oscillations that resemble perceptual rivalry involve only one population being "ON" at a time, which represents the dominance of a single percept at a time. As shown in Laing and Chow (J. Comput. Neurosci. 12(1):39-53, 2002), for sufficiently high contrast, one can derive relationships between dominance times and contrast that agree with Levelt's propositions (Levelt in On binocular rivalry, 1965). Time-dependent stimuli give rise to novel network oscillations where both, one, or neither populations are "ON" at any given time. When a single population receives an interrupted stimulus, the fundamental mode of behavior we find is phase-locking, where the temporally driven population locks its state to the stimulus. Other behaviors are analyzed as bifurcations from this forced oscillation, using fast/slow analysis that exploits the slow timescale of adaptation. When both populations receive time-varying input, we find mixtures of fusion and sole population dominance, and we partition parameter space into particular oscillation types. Finally, when a single population's input contrast is smoothly varied in time, 1:n mode-locked states arise through period-adding bifurcations beyond phase-locking. Our results provide several testable predictions for future psychophysical experiments on perceptual rivalry.

Original languageEnglish (US)
Pages (from-to)1396-1426
Number of pages31
JournalBulletin of Mathematical Biology
Volume74
Issue number6
DOIs
StatePublished - Jun 1 2012
Externally publishedYes

Fingerprint

Binoculars
Neural Networks (Computer)
Neural Network Model
neural networks
Fusion reactions
Neural networks
Feedback
oscillation
Oscillation
Experiments
Phase Locking
Population
Time-varying
Bifurcation
bifurcation
Forced oscillation
Negative Feedback
Time Dependence
effect
Spike

Keywords

  • Intermittent ambiguous stimuli
  • Mode-locking
  • Mutual inhibition
  • Perceptual rivalry
  • Periodically forced

ASJC Scopus subject areas

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

Cite this

Effects of Time-Dependent Stimuli in a Competitive Neural Network Model of Perceptual Rivalry. / Jayasuriya, Suren; Kilpatrick, Zachary P.

In: Bulletin of Mathematical Biology, Vol. 74, No. 6, 01.06.2012, p. 1396-1426.

Research output: Contribution to journalArticle

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