Traveling fronts and wave propagation failure in an inhomogeneous neural network

By Paul C. Bressloff. 2001

143 citations recorded by the source corpus.

We use averaging and homogenization theory to study the propagation of traveling wavefronts in an inhomogeneous excitable neural medium. Motivated by the functional architecture of primary visual cortex, we model the inhomogeneity as a periodic modulation in the long-range neuronal connections. We derive an expression for the effective wavespeed and show that propagation failure can occur if the speed is too slow or the degree of inhomogeneity is too large. We find that there are major qualitative differences in the wavespeed for different choices of the homogenized weight distribution.

Subfields: Biophysics, Cognitive Neuroscience

View Paper: https://www.semanticscholar.org/paper/fbee282f94909b25b7b97644bb0f32fda4ab461f

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In Cognitive Neuroscience

Citations in the corpus

Waves, bumps, and patterns in neural field theories (2005, background): “However, it is also important to remember that real neural tissue is anisotropic and inhomogeneous, and that the neural field equations presented here must be modified to reflect this, as in the work of Bressloff [92].”
Spatiotemporal dynamics of continuum neural fields (2012, background): “82), and this leads to the bifurcation diagrams shown in figure 31 [74, 181].”
Waves and bumps in neuronal networks with axo-dendritic synaptic interactions (2003, methodology): “Motivated by the anisotropic and inhomogeneous nature of many cortical areas it should be possible, using averaging and homogenization theory, to uncover the role of the periodic microstructure of cortex in front and pulse propagation and its failure, along the lines developed in [43].”