title: The relationship between nernst equilibrium variability and the multifractality of interspike intervals in the hippocampus.
abstract: Spatiotemporal patterns of action potentials are considered to be closely related to information processing in the brain. Auto-generating neurons contributing to these processing tasks are known to cause multifractal behavior in the inter-spike intervals of the output action potentials. In this paper we define a novel relationship between this multifractality and the adaptive Nernst equilibrium in hippocampal neurons. Using this relationship we are able to differentiate between various drugs at varying dosages. Conventional methods limit their ability to account for cellular charge depletion by not including these adaptive Nernst equilibria. Our results provide a new theoretical approach for measuring the effects which drugs have on single-cell dynamics.
authors.affiliation: Department of Applied Mathematics and Statistics, State University of New York, Stony Brook, NY, 11794, USA. stephen.meier@stonybrook.edu.
authors.forename: Stephen R
authors.identifier: http://orcid.org/0000-0002-5263-7893
authors.initials: SR
authors.lastname: Meier
authors.affiliation: Department of Physics, Roanoke College, Salem, VA, 24153, USA.
authors.forename: Jarrett L
authors.initials: JL
authors.lastname: Lancaster
authors.affiliation: Department of Biology II, Ludwig Maximilian University of Munich, Munich, Germany.
authors.forename: Dustin
authors.initials: D
authors.lastname: Fetterhoff
authors.affiliation: Department of Biomedical Engineering, Wake Forest School of Medicine, Winston-Salem, NC, 27109, USA.
authors.forename: Robert A
authors.initials: RA
authors.lastname: Kraft
authors.affiliation: Department of Physiology & Pharmacology, Wake Forest School of Medicine, Winston-Salem, NC, 27109, USA.
authors.forename: Robert E
authors.initials: RE
authors.lastname: Hampson
authors.affiliation: Department of Nanoscience, The University of North Carolina, Greensboro, NC, 27401, USA.
authors.forename: Joseph M
authors.initials: JM
authors.lastname: Starobin
mesh_terms: D000200:Action Potentials; D001330:Electronic Data Processing; D006624:Hippocampus / Q000502:physiology*; D008959:Models, Neurological; D009474:Neurons
keywords: Cannabidiol; Dale’s principle; Hurst exponent; Multifractal detrended fluctuation analysis; Poisson process; Pyramidal neurons; Tetrahydrocannabinol