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Power-Law Dynamics of Membrane Conductances Increase Spiking Diversity in a Hodgkin-Huxley Model

Fig 5

Phase transition diagrams of the spiking patterns generated by the Hodgkin-Huxley model with power-law behaving conductances.

The power-law dynamics was implemented with a fractional order derivative of order η for the respective gating variables. (A) Potassium conductance activation n gate. (B) Sodium conductance activation m gate. (C) Sodium conductance inactivation h gate. RS, resting state; PS, phasic spiking; MMO, mixed-mode oscillations; TS, tonic spiking; SWB, square-wave bursting; and PPB, pseudo-plateau bursting. Spiking responses and boundaries were manually classified based on the first 1,500 ms of simulation.

Fig 5

doi: https://doi.org/10.1371/journal.pcbi.1004776.g005