title: [Criteria of bistability of the cylindrical dendrite with the variable negative slope of the N-shaped current-voltage membrane characteristic].
abstract: The criteria for hystheresis in the input current-voltage relation of a cylindrical dendrite, i.e. cable bistability, were studied earlier in case of the constant negative slope of the N-shaped membrane current-voltage characteristic. For a membrane with a variable negative slope of the current-voltage characteristic, only sufficient conditions of dendritic bistability were formulated: [equation: see text], where df/dV/h is the negative slope of the membrane current-voltage characteristic at zero current point, h; X is the electrotonic length of the dendrite. We propose to use as the necessary condition of bistability the above equation but with the maximal value of the negative slope df/dV/max instead of df/dV/h. Calculations illustrate that this necessary condition, with acceptable accuracy, can be used as the necessary and sufficient condition of the cable bistability when the N-shaped current-voltage characteristic of the membrane is arbitrary.
authors.affiliation: Biomedical Research Institute, Kaunas Medical University, ul. Mickeviciaus 9, LT-3000 Kaunas, Lithuania.
authors.forename: A
authors.initials: A
authors.lastname: Alaburda
authors.forename: M
authors.initials: M
authors.lastname: Alaburda
authors.forename: A
authors.initials: A
authors.lastname: Baginskas
authors.forename: A
authors.initials: A
authors.lastname: Gutman
authors.forename: G
authors.initials: G
authors.lastname: Svirskis
mesh_terms: D000465:Algorithms; D003712:Dendrites / Q000502:physiology*; D008564:Membrane Potentials; D008959:Models, Neurological