The persistent Na+ current (INaP) is thought to play important roles in many brain regions including the generation of inspiration in the ventral respiratory column (VRC) of mammals. The characterization of the slow inactivation of INaP requires long-lasting voltage steps (>1 s), which will increase intracellular Na+ and activate the Na+/K+-ATPase pump current (IPump). Thus, IPump may contribute to the previously measured slow inactivation of INaP and the generation of the inspiratory bursting rhythm. To test this hypothesis, we computationally modeled a respiratory pacemaker neuron that included a non-inactivating INaP and IPump in addition to other basic spike-generating currents. This model produces an inspiration-like bursting rhythm, in which the dynamics of [Na+]i account for burst initiation and termination. We simulated a voltage-clamp experiment measuring the INaP inactivation kinetics using our model of non-inactivating INaP and IPump. Consistent with prior measurements in the VRC, we found a sigmoidal inactivation curve and a current that only partially inactivated reaching a minimum inactivation of 0.39. The biexponential time course of inactivation had decay rate constants of 0.59 s and 3.71 s with contributions of 57% and 43% respectively. The time constant of inactivation was 2.67 s. This decay was caused by the slow growth of IPump and the slow hyperpolarization of the Na+ reversal potential in response to the growing [Na+]i. We conclude that important biophysical properties previously attributed to the INaP may be caused by IPump. This has important implications for understanding respiratory rhythmogenesis and other neuronal functions.
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