title: Nonlinear summation of junction potentials in a three-dimensional syncytium.
abstract: A three-dimensional "cable" equation with reversal potentials is derived for an infinite syncytium. Its solution is found analytically by using Green's function methods for the special case of two impulsive conductance changes activated at different "points" in space. It is shown that junction potentials generated at different sites in the syncytium do not in theory sum linearly.
authors.affiliation: School of Mathematics and Statistics, University of Sydney, NSW, Australia.
authors.forename: R R
authors.initials: RR
authors.lastname: Poznański
mesh_terms: D000200:Action Potentials; D016880:Anisotropy; D004553:Electric Conductivity; D007365:Intercellular Junctions / Q000502:physiology*; D007425:Intracellular Membranes / Q000502:physiology*; D008433:Mathematics; D008959:Models, Neurological; D009131:Muscle, Smooth, Vascular / Q000502:physiology*; D013569:Synapses / Q000502:physiology*; D014648:Varicose Veins / Q000503:physiopathology*