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The relationship between nernst equilibrium variability and the multifractality of interspike intervals in the hippocampus

Journal of Computational Neuroscience volume 42, pages 167–175 (2017)Cite this article

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.

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Author information

Affiliations

  1. Department of Applied Mathematics and Statistics, State University of New York, Stony Brook, NY, 11794, USA

    Stephen R. Meier

  2. Department of Physics, Roanoke College, Salem, VA, 24153, USA

    Jarrett L. Lancaster

  3. Department of Biology II, Ludwig Maximilian University of Munich, Munich, Germany

    Dustin Fetterhoff

  4. Department of Biomedical Engineering, Wake Forest School of Medicine, Winston-Salem, NC, 27109, USA

    Robert A. Kraft

  5. Department of Physiology & Pharmacology, Wake Forest School of Medicine, Winston-Salem, NC, 27109, USA

    Robert E. Hampson

  6. Department of Nanoscience, The University of North Carolina, Greensboro, NC, 27401, USA

    Joseph M. Starobin

Authors
  1. Stephen R. Meier
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  2. Jarrett L. Lancaster
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  3. Dustin Fetterhoff
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  4. Robert A. Kraft
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  5. Robert E. Hampson
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  6. Joseph M. Starobin
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Corresponding author

Correspondence to Stephen R. Meier.

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Action Editor: Frances K. Skinner

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Meier, S.R., Lancaster, J.L., Fetterhoff, D. et al. The relationship between nernst equilibrium variability and the multifractality of interspike intervals in the hippocampus. J Comput Neurosci 42, 167–175 (2017). https://doi.org/10.1007/s10827-016-0633-5

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  • DOI: https://doi.org/10.1007/s10827-016-0633-5

Keywords

  • Hurst exponent
  • Multifractal detrended fluctuation analysis
  • Poisson process
  • Dale’s principle
  • Pyramidal neurons
  • Tetrahydrocannabinol
  • Cannabidiol