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1 Department of Biology, University of Texas at San Antonio, San Antonio, Texas 78249 2 Department of Mathematics, Ohio State University, Columbus, Ohio 43210 3 Department of Physiology, Northwestern University Feinberg School of Medicine, Chicago, Illinois 60611
Submitted 22 September 2003; accepted in final form 29 December 2003
Subthalamic nucleus neurons exhibit reverse spike-frequency adaptation. This occurs only at firing rates of 2050 spikes/s and higher. Over this same frequency range, there is an increase in the steady-state frequencyintensity (FI) curve's slope (the secondary range). Specific blockade of high-voltage activated calcium currents reduced the FI curve slope and reverse adaptation. Blockade of calcium-dependent potassium current enhanced secondary range firing. A simple model that exhibited these properties used spike-triggered conductances similar to those in subthalamic neurons. It showed: 1) Nonaccumulating spike afterhyperpolarizations produce positively accelerating FI curves and spike-frequency adaptation that is complete after the second spike. 2) Combinations of accumulating aftercurrents result in a linear FI curve, whose slope depends on the relative contributions of inward and outward currents. Spike-frequency adaptation can be gradual. 3) With both accumulating and nonaccumulating aftercurrents, primary and secondary ranges will be present in the FI curve. The slope of the primary range is determined by the nonaccumulating conductance; the accumulating conductances govern the secondary range. The transition is determined by the relative strengths of accumulating and nonaccumulating currents. 4) Spike-threshold accommodation contributes to the secondary range, reducing its slope at high firing rates. Threshold accommodation can stabilize firing when inward aftercurrents exceed outward ones. 5) Steady-state reverse adaptation results when accumulated inward aftercurrents exceed outward ones. This requires spike-threshold accommodation. Transient speedup arises when inward currents are smaller than outward ones at steady state, but accumulate more rapidly. 6) The same mechanisms alter firing in response to irregular patterns of synaptic conductances, as cell excitability fluctuates with changes in firing rate.
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