Unique wave front for dendritic spines with Nagumo dynamics.

Y Zhou

doi:10.1016/s0025-5564(97)10006-2

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Unique wave front for dendritic spines with Nagumo dynamics.

Y Zhou

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Abstract

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.

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Y Zhou. 1998. Unique wave front for dendritic spines with Nagumo dynamics.. https://doi.org/10.1016/s0025-5564(97)10006-2

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