A differential equation model of retinal processing for understanding lightness optical illusions

DOI10.1007/S13160-017-0272-XzbMath1390.93134OpenAlexW2761942548WikidataQ115376193 ScholiaQ115376193MaRDI QIDQ1742875

Shintaro Kondo, Takamichi Sushida, Masayasu Mimura, Kōkichi Sugihara

Publication date: 12 April 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-017-0272-x

zbMATH Keywords

convolutiondifferential equationmathematical modelinglightness optical illusionretinal information processing

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Reaction-diffusion equations (35K57) Neural biology (92C20)

Related Items (5)

Convolution representation of traveling pulses in reaction-diffusion systems ⋮ Spatiotemporal kernel of a three-component differential equation model with self-control mechanism in vision ⋮ Effective nonlocal kernels on reaction-diffusion networks ⋮ The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect ⋮ A differential equation model for the stage theory of color perception

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Framelet analysis of some geometrical illusions
• Two-bump solutions of Amari-type models of neuronal pattern formation
• Spontaneous symmetry breaking in self-organizing neural fields
• Reaction, diffusion and non-local interaction
• Modeling Reverse-Phi Motion-Selective Neurons in Cortex: Double Synaptic-Veto Mechanism
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

This page was built for publication: A differential equation model of retinal processing for understanding lightness optical illusions