title: Modelling the Effects of Electrical Coupling between Unmyelinated Axons of Brainstem Neurons Controlling Rhythmic Activity.
abstract: Gap junctions between fine unmyelinated axons can electrically couple groups of brain neurons to synchronise ﬁring and contribute to rhythmic activity. To explore the distribution and significance of electrical coupling, we modelled a well analysed, small population of brainstem neurons which drive swimming in young frog tadpoles. A passive network of 30 multicompartmental neurons with unmyelinated axons was used to infer that: axon-axon gap junctions close to the soma gave the best match to experimentally measured coupling coefﬁcients; axon diameter had a strong inﬂuence on coupling; most neurons were coupled indirectly via the axons of other neurons. When active channels were added, gap junctions could make action potential propagation along the thin axons unreliable. Increased sodium and decreased potassium channel densities in the initial axon segment improved action potential propagation. Modelling suggested that the single spike ﬁring to step current injection observed in whole-cell recordings is not a cellular property but a dynamic consequence of shunting resulting from electrical coupling. Without electrical coupling, firing of the population during depolarising current was unsynchronised; with coupling, the population showed synchronous recruitment and rhythmic firing. When activated instead by increasing levels of modelled sensory pathway input, the population without electrical coupling was recruited incrementally to unpatterned activity. However, when coupled, the population was recruited all-or-none at threshold into a rhythmic swimming pattern: the tadpole "decided" to swim. Modelling emphasises uncertainties about fine unmyelinated axon physiology but, when informed by biological data, makes general predictions about gap junctions: locations close to the soma; relatively small numbers; many indirect connections between neurons; cause of action potential propagation failure in fine axons; misleading alteration of intrinsic firing properties. Modelling also indicates that electrical coupling within a population can synchronize recruitment of neurons and their pacemaker firing during rhythmic activity.
authors.affiliation: Institute for Adaptive and Neural Computation, University of Edinburgh, Edinburgh, United Kingdom; School of Biological Sciences, University of Bristol, Bristol, United Kingdom.
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Hull
authors.affiliation: School of Biological Sciences, University of Bristol, Bristol, United Kingdom.
authors.forename: Stephen R
authors.initials: SR
authors.lastname: Soffe
authors.affiliation: Institute for Adaptive and Neural Computation, University of Edinburgh, Edinburgh, United Kingdom.
authors.forename: David J
authors.initials: DJ
authors.lastname: Willshaw
authors.affiliation: School of Biological Sciences, University of Bristol, Bristol, United Kingdom.
authors.forename: Alan
authors.initials: A
authors.lastname: Roberts
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000818:Animals; D001369:Axons / Q000502:physiology; D001933:Brain Stem / Q000166:cytology* / Q000502:physiology*; D019295:Computational Biology; D055724:Electrophysiological Phenomena; D017629:Gap Junctions / Q000502:physiology; D007814:Larva / Q000166:cytology / Q000502:physiology; D008959:Models, Neurological; D036421:Nerve Fibers, Unmyelinated / Q000502:physiology; D018408:Patch-Clamp Techniques; D013550:Swimming / Q000502:physiology; D014982:Xenopus laevis / Q000502:physiology