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Stochastic origins of the long-range correlations of ionic current fluctuations in membrane channels

Szymon Mercik* and Karina Weron†

  • Institute of Physics, Wroclaw University of Technology, 50-370 Wroclaw, Poland

  • *Email address: mercik@rainbow.if.pwr.wroc.pl
  • †Email address: karina@rainbow.if.pwr.wroc.pl
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Phys. Rev. E 63, 051910 – Published 25 April, 2001

DOI: https://doi.org/10.1103/PhysRevE.63.051910

Abstract

An explicit stochastic representation of a stationary ionic current signal recorded from a single channel of a biological membrane is presented. In the framework of the proposed approach we show how the dichotomous time structure of the signal leads to the non-Markovian character of the channel current. The rescaled range Hurst and detrended fluctuation analyses confirm the theoretical result. To investigate the ionic current fluctuations we introduce the Orey index as a statistical method providing additional information on the properties of stochastic processes. In order to reveal any differences between the experimental and reconstructed signals, we apply also the statistical tests to the model-based simulations of the channel action.

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Outline

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Phys. Rev. E 63, 051910– Published 25 April, 2001
  • Received 6 June 2000

© 2001 American Physical Society

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