Quantum-like signal-tuned approach to V1 modeling

José R. A. Torreão and Marcos S. Amaral ()
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José R. A. Torreão: Instituto de Computação, Universidade Federal Fluminense, 24210-346 Niterói RJ, Brasil
Marcos S. Amaral: Instituto de Computação, Universidade Federal Fluminense, 24210-346 Niterói RJ, Brasil

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 05, 1-31

Abstract: Signal-tuned Gabor functions — Gaussian-modulated sinusoids whose parameters are determined by a spatial or spectral “tuning signal” — have previously been shown to provide a plausible model for the stimulus-dependent receptive fields and responses of the simple and complex cells of the primary visual cortex (V1). The signal-tuned responses obey Schrödinger equations, which has led to the proposal of a quantum-like model for V1 cells: by considering the squared magnitude of a particular signal-tuned wave function as a probability density, one arrives at a Poisson spiking process which appears consistent with the neurophysiological findings. Here, by incorporating Hermite-polynomial factors to the signal-tuned Gabor functions, we obtain a generalized quantum-like signal-tuned model for which further relevant properties are demonstrated, such as receptive-field coding of the stimulus and its derivatives, saturating spatial summation curves and half-wave rectification of the simple cell responses. Although only a one-dimensional approach is considered here, such properties will carry over to a two-dimensional model, in which case, as our preliminary analysis indicates, end-stopping — another important feature of cortical cells — can also be accommodated.

Keywords: Neuronal modeling; primary visual cortex; receptive fields; Schrödinger equation; signal-tuned Gabor approach (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500323

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