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Are waves created by the LFP on the surfaces of neurons cell bodies? Since the cells have a resting potential, do these waves create harmonic oscillation of the membranes at particular frequencies?

Are there studies available that look at electrical potential waves on the cell surfaces? I think that membranes should be sensitive to the LFP since they maintain a charge.

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A LFP can be measured at any point in space and is just the sum of all the fields generated by nearby charges. Conventionally, it's assumed to be some distance from a cluster of neurons, but you technically could measure the LFP near the external surface of a neuron (but that would bias your signal towards the reading of that one neuron).

LFP's are relatively weak, but have some small influence on the neighboring cells:

Modeling the coupling of single neuron activity to local field potentials

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