Generalized SPIN models for coupled cortical feature maps obtained by coarse graining correlation based synaptic learning rules

DOI10.1007/s00285-011-0484-7zbMath1311.92036OpenAlexW2114801758WikidataQ51494237 ScholiaQ51494237MaRDI QIDQ694705

Peter J. Thomas, Jack D. Cowan

Publication date: 13 December 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-011-0484-7

zbMATH Keywords

pattern formationnonlinear eigenvalue problemsymmetry breakingHebbian learningcoarse grainingvisual cortexXY modelorientation map

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Developmental biology, pattern formation (92C15)

Related Items (2)

A laminar model for the joint development of ocular dominance columns and CO blobs in the primary visual cortex ⋮ Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue

Cites Work

• Unnamed Item
• A developmental model of ocular dominance column formation on a growing cortex
• Self-organizing maps: Stationary states, metastability and convergence rate
• Self-organizing maps: Ordering, convergence properties and energy functions
• Singularities and groups in bifurcation theory. Volume II
• A mathematical theory of visual hallucination patterns
• Development of spatiotemporal receptive fields of simple cells. I: Model formulation
• Development of spatiotemporal receptive fields of simple cells: II: Simulation and analysis
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model
• Spontaneous symmetry breaking in self-organizing neural fields
• Neural network model of the primary visual cortex: from functional architecture to lateral connectivity and back
• Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex
• What Geometric Visual Hallucinations Tell Us about the Visual Cortex
• Analysis of a correlation-based model for the development of orientation-selective receptive fields in the visual cortex
• The development of topography in the visual cortex: a review of models
• Analysis of the elastic net model applied to the formation of ocular dominance and orientation columns
• Multiplicative Synaptic Normalization and a Nonlinear Hebb Rule Underlie a Neurotrophic Model of Competitive Synaptic Plasticity
• The chemical basis of morphogenesis
• Systematic Fluctuation Expansion for Neural Network Activity Equations
• Simultaneous constraints on pre- and post-synaptic cells couple cortical feature maps in a 2D geometric model of orientation preference
• Time-Dependent Statistics of the Ising Model
• Monte Carlo sampling methods using Markov chains and their applications
• Monte Carlo simulation in statistical physics. An introduction.

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