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Introducing a chaotic map with a wide range of long-term memory as a model of patch-clamped ion channels current time series

Author

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  • Bahramian, Alireza
  • Nouri, Ali
  • Baghdadi, Golnaz
  • Gharibzadeh, Shahriar
  • Towhidkhah, Farzad
  • Jafari, Sajad

Abstract

Ion channels are responsible for allowing to pass ions from the membrane. They have an effective influence on cell activity. Several models have been presented to describe the kinetics of ion channels mostly based on probabilistic models. A chaotic-map-based model is presented in this research and it is shown the chaotic map can mimic many essential properties of the ion channel kinetics. The long-term memory is one of the ion channel properties which was investigated and discussed in the literature. Most of the presented models are incapable of describing this property of ion channels. The dwell-time ratio is another properties of ion channel current time series that is influenced by patch-clamp voltages. In this article, a new chaotic map is presented which is able to show a variety of dwell-time ratio and long-term memory. So it is capable to be considered as a model for the behavior of a single ion channel which is patch-clamped under different voltages.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:126:y:2019:i:c:p:361-368
    DOI: 10.1016/j.chaos.2019.07.018
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    Cited by:

    1. 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).
    2. García-Guerrero, E.E. & Inzunza-González, E. & López-Bonilla, O.R. & Cárdenas-Valdez, J.R. & Tlelo-Cuautle, E., 2020. "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    3. 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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