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Long term Hurst memory that does not die at long observation times—Deterministic map to describe ion channel activity

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  • Borys, Przemyslaw

Abstract

Recently a deterministic chaotic map was proposed to reflect long term correlations in the dwell times of the ion channel measured by the Hurst exponent. The work related to a previous research of our group, that unfortunately displays a limitation for long time of observations, where the Hurst effect disappears. This may be fine for practical applications (limited in time), but it’s interesting to investigate whether there is a theoretical possibility to sustain correlations in dwell times even for very long observation time. This work aims to provide a simple answer to this problem.

Suggested Citation

  • Borys, Przemyslaw, 2020. "Long term Hurst memory that does not die at long observation times—Deterministic map to describe ion channel activity," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s096007791930517x
    DOI: 10.1016/j.chaos.2019.109560
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    References listed on IDEAS

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    1. Bahramian, Alireza & Nouri, Ali & Baghdadi, Golnaz & Gharibzadeh, Shahriar & Towhidkhah, Farzad & Jafari, Sajad, 2019. "Introducing a chaotic map with a wide range of long-term memory as a model of patch-clamped ion channels current time series," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 361-368.
    2. Breslin, M.C. & Belward, J.A., 1999. "Fractal dimensions for rainfall time series," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 48(4), pages 437-446.
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    Cited by:

    1. Zu, Chuanjin & Gao, Yanming & Yu, Xiangyang, 2021. "Time fractional evolution of a single quantum state and entangled state," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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