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Title: Spike-frequency adaptation of a two-compartment neuron modulated by extracellular electric fields
Authors: Yi, G
Wang, J
Tsang, KM 
Wei, X
Deng, B
Han, C
Keywords: Bifurcation
Extracellular electric field
Morphological parameter
Spike initiation dynamic
Spike-frequency adaptation
Two-compartment neuron
Issue Date: 2015
Publisher: Springer Verlag
Source: Biological cybernetics, 2015, v. 109, no. 3, p. 287-306 How to cite?
Journal: Biological Cybernetics 
Abstract: Spike-frequency adaptation has been shown to play an important role in neural coding. Based on a reduced two-compartment model, here we investigate how two common adaptation currents, i.e., voltage-sensitive potassium current ((Formula presented.)) and calcium-sensitive potassium current ((Formula presented.)), modulate neuronal responses to extracellular electric fields. It is shown that two adaptation mechanisms lead to distinct effects on the dynamical behavior of the neuron to electric fields. These effects depend on a neuronal morphological parameter that characterizes the ratio of soma area to total membrane area and internal coupling conductance. In the case of (Formula presented.) current, changing the morphological parameter switches spike initiation dynamics between saddle-node on invariant cycle bifurcation and supercritical Hopf bifurcation, whereas it only switches between subcritical and supercritical Hopf bifurcations for (Formula presented.) current. Unlike the morphological parameter, internal coupling conductance is unable to alter the bifurcation scenario for both adaptation currents. We also find that the electric field threshold for triggering neuronal steady-state firing is determined by two parameters, especially by the morphological parameter. Furthermore, the neuron with (Formula presented.) current generates mixed-mode oscillations through the canard phenomenon for some small values of the morphological parameter. All these results suggest that morphological properties play a critical role in field-induced effects on neuronal dynamics, which could qualitatively alter the outcome of adaptation by modulating internal current between soma and dendrite. The findings are readily testable in experiments, which could help to reveal the mechanisms underlying how the neuron responds to electric field stimulus.
ISSN: 0340-1200
DOI: 10.1007/s00422-014-0642-2
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