Spontaneous symmetry breaking in self-organizing neural fields

Area of Science:

• Computational Neuroscience
• Neuroscience
• Theoretical Neuroscience

Background:

• The primary visual cortex (V1) exhibits topographic maps and feature selectivity.
• Understanding the emergence of ocular dominance and orientation columns is crucial for V1 organization.

Purpose of the Study:

• To extend self-organizing neural field theory to explain joint topography and feature selectivity emergence.
• To model the formation of ocular dominance and orientation columns via spontaneous symmetry breaking.

Main Methods:

• Utilized self-organizing neural field theory.
• Analyzed pattern-forming instabilities in topographic maps.
• Investigated symmetry breaking mechanisms in 1D and 2D neural fields.

Main Results:

• Demonstrated how binocular topographic maps break symmetry to form ocular dominance columns.
• Showed how 2D topographic maps break rotational symmetry to form orientation columns.
• Identified a rotational shift-twist symmetry coupling orientation and topography in orientation column formation.

Conclusions:

• Spontaneous symmetry breaking is a key mechanism for V1 map organization.
• The model explains the emergence of both ocular dominance and orientation columns.
• The findings align with experimental observations of coupled orientation and topography in V1 maps.