Unique wave front for dendritic spines with Nagumo dynamics.
A model of dendritic spines uniformly distributed along a dendrite cable with the Nagumo dynamics for active membrane spine activity is considered. We show analytically the existence and uniqueness of traveling front solutions for a wide range of parameters including the spine density and the resistance between spine heads and dendrites. And such wave front travels at a slower speed for a larger spine density. Numerical simulations support the above results.
Zhou
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Y
Department of Mathematics and Computer Science, Rhode Island College, Providence 02908, USA. yzhou@grog.ric.edu
D003712:Dendrites / Q000502:physiology* / Q000648:ultrastructure; D004594:Electrophysiology; D008433:Mathematics; D008959:Models, Neurological; D009431:Neural Conduction / Q000502:physiology