Interactions among Diameter, Myelination and the Na/K pump Affect Axonal Resilience to High Frequency Spiking

Abstract

Axons reliably conduct action potentials between neurons and/or other targets. Axons have widely variable diameters and can be myelinated or unmyelinated. Although the effect of these factors on propagation speed is well studied, how they constrain axonal resilience to high frequency spiking is incompletely understood. Maximal firing frequencies range from ~ 1 Hz to > 300 Hz across neurons, but the process by which Na/K pumps counteract Na+ influx is slow, and it is unclear the extent to which slow Na+ removal is compatible with high frequency spiking. Modeling the process of Na+ removal shows that large diameter axons are more resilient to high frequency spikes than small diameter axons, because of their slow Na+ accumulation. In myelinated axons, the myelinated compartments between nodes of Ranvier act as a reservoir to slow Na+ accumulation and increase the reliability of axonal propagation. We now find that slowing the activation of K+ current can increase the Na+ influx rate, and the effect of minimizing the overlap between Na+- and K+-currents on spike propagation resilience depends on complex interactions among diameter, myelination and the Na/K pump density. Our results suggest that, in neurons with different channel gating kinetic parameters, different strategies may be required to improve the reliability of axonal propagation. Significance StatementThe reliability of spike propagation in axons is determined by complex interactions among ionic currents, ion pumps and morphological properties. We use compartment-based modeling to reveal that interactions of diameter, myelination and the Na/K pump determine the reliability of high frequency spike propagation. By acting as a reservoir of nodal Na+ influx, myelinated compartments efficiently increase propagation reliability. Although spike broadening was thought to oppose fast spiking, its effect on spike propagation is complicated, depending on the balance of Na+ channel inactivation gate recovery, Na+ influx and axial charge. Our findings suggest that slow Na+ removal influences axonal resilience to high frequency spike propagation, and that different strategies may be required to overcome this constraint in different neurons.