Pattern formation in intracortical neuronal fields.

Axel Hutt; Michael Bestehorn; Thomas Wennekers

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PubMed · 12790189

Pattern formation in intracortical neuronal fields.

Axel Hutt·Michael Bestehorn·Thomas Wennekers

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Abstract

This paper introduces a neuronal field model for both excitatory and inhibitory connections. A single integro-differential equation with delay is derived and studied at a critical point by stability analysis, which yields conditions for static periodic patterns and wave instabilities. It turns out that waves only occur below a certain threshold of the activity propagation velocity. An additional brief study exhibits increasing phase velocities of waves with decreasing slope subject to increasing activity propagation velocities, which are in accordance with experimental results. Numerical studies near and far from instability onset supplement the work.

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Action Potentials Brain Electroencephalography Humans Models, Neurological Neural Inhibition Neural Pathways Periodicity Pyramidal Cells Synapses Journal Article Research Support, Non-U.S. Gov't

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Axel Hutt, Michael Bestehorn, Thomas Wennekers. 2003. Pattern formation in intracortical neuronal fields.. https://pubmed.ncbi.nlm.nih.gov/12790189/

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