Abstract
Mathematical and computational models for the propagation of activity in excitatorily coupled neurons are simulated and analyzed. The basic measurable quantity—velocity—is found for a wide class of models. Numerical bifurcation techniques, asymptotic analysis, and numerical simulations are used to show that there are distinct scaling laws for the velocity as a function of a variety of parameters. In particular, the obvious linear relationships between speed and spatial spread or synaptic decay rate are shown. More surprisingly, it is shown that the velocity scales as a power law with synaptic coupling strength and that the exponent is dependent only on the rising phase of the synapse.
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Ermentrout, B. The Analysis of Synaptically Generated Traveling Waves. J Comput Neurosci 5, 191–208 (1998). https://doi.org/10.1023/A:1008822117809
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DOI: https://doi.org/10.1023/A:1008822117809