title: Minimizing the caliber of myelinated axons by means of nodal constrictions.
abstract: In myelinated axons, most of the voltage-gated ion channels are concentrated at the nodes of Ranvier, which are short gaps in the myelin sheath. This arrangement leads to saltatory conduction and a larger conduction velocity than in nonmyelinated axons. Intriguingly, axons in the peripheral nervous system that exceed about 2 μm in diameter exhibit a characteristic narrowing of the axon at nodes that results in a local reduction of the axonal cross-sectional area. The extent of constriction increases with increasing internodal axonal caliber, reaching a threefold reduction in diameter for the largest axons. In this paper, we use computational modeling to investigate the effect of nodal constrictions on axonal conduction velocity. For a fixed number of ion channels, we find that there is an optimal extent of nodal constriction which minimizes the internodal axon caliber that is required to achieve a given target conduction velocity, and we show that this is sensitive to the precise geometry of the axon and myelin sheath in the flanking paranodal regions. Thus axonal constrictions at nodes of Ranvier appear to be a biological adaptation to minimize axonal volume, thereby maximizing the spatial and metabolic efficiency of these processes, which can be a significant evolutionary constraint. We show that the optimal nodal morphologies are relatively insensitive to changes in the number of nodal sodium channels.
authors.affiliation: Quantitative Biology Institute, Ohio University, Athens, Ohio; Department of Physics and Astronomy, Ohio University, Athens, Ohio;
authors.forename: Christopher
authors.initials: C
authors.lastname: Johnson
authors.affiliation: Quantitative Biology Institute, Ohio University, Athens, Ohio; Neuroscience Program, Department of Biological Sciences, Ohio University, Athens, Ohio; and.
authors.forename: William R
authors.initials: WR
authors.lastname: Holmes
authors.affiliation: Department of Neuroscience, The Ohio State University, Columbus, Ohio.
authors.forename: Anthony
authors.initials: A
authors.lastname: Brown
authors.affiliation: Quantitative Biology Institute, Ohio University, Athens, Ohio; Department of Physics and Astronomy, Ohio University, Athens, Ohio; jungp@ohio.edu.
authors.forename: Peter
authors.initials: P
authors.lastname: Jung
mesh_terms: D000200:Action Potentials; D000818:Animals; D001369:Axons / Q000378:metabolism / Q000502:physiology*; D008959:Models, Neurological; D009431:Neural Conduction; D011901:Ranvier's Nodes / Q000378:metabolism / Q000502:physiology*; D015222:Sodium Channels / Q000378:metabolism
chemical_list: D015222:Sodium Channels
keywords: axon morphology; computational modeling; conduction velocity; nodal constrictions; node of Ranvier