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Updated: Aug 29, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
Published on: October 13, 2023
The functional geometry of local and horizontal connections in a model of V1
Paul C Bressloff1, Jack D Cowan
1Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA. bressloff@math.utah.edu
Abstract:
A mathematical model of interacting hypercolumns in primary visual cortex (V1) is presented that incorporates details concerning the geometry of local and long-range horizontal connections. Each hypercolumn is modeled as a network of interacting excitatory and inhibitory neural populations with orientation and spatial frequency preferences organized around a pair of pinwheels. The pinwheels are arranged on a planar lattice, reflecting the crystalline-like structure of cortex. Local interactions within a hypercolumn generate orientation and spatial frequency tuning curves, which are modulated by horizontal connections between different hypercolumns on the lattice. The symmetry properties of the local and long-range connections play an important role in determining the types of spontaneous activity patterns that can arise in cortex.
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