Phase-resetting curve determines how BK currents affect neuronal firing

Authors:
Cheng Ly;Tamar Melman;Alison L. Barth;G. Bard Ermentrout
Affiliations:
Department of Mathematics, University of Pittsburgh, Pittsburgh, USA 15260;Department of Biological Sciences, Carnegie Mellon University, Pittsburgh, USA 15213;Department of Biological Sciences, Carnegie Mellon University, Pittsburgh, USA 15213;Department of Mathematics, University of Pittsburgh, Pittsburgh, USA 15260
Venue:
Journal of Computational Neuroscience
Year:
2011

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Abstract

BK channels are large conductance potassium channels gated by calcium and voltage. Paradoxically, blocking these channels has been shown experimentally to increase or decrease the firing rate of neurons, depending on the neural subtype and brain region. The mechanism for how this current can alter the firing rates of different neurons remains poorly understood. Using phase-resetting curve (PRC) theory, we determine when BK channels increase or decrease the firing rates in neural models. The addition of BK currents always decreases the firing rate when the PRC has only a positive region. When the PRC has a negative region (type II), BK currents can increase the firing rate. The influence of BK channels on firing rate in the presence of other conductances, such as I m and I h , as well as with different amplitudes of depolarizing input, were also investigated. These results provide a formal explanation for the apparently contradictory effects of BK channel antagonists on firing rates.