 Introducing a chaotic map with a wide range of long-term memory as a model of patch-clamped ion channels current time seriesAlireza Bahramian, Ali Nouri, Golnaz Baghdadi, Shahriar Gharibzadeh, Farzad Towhidkhah and Sajad Jafari Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 361-368 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. Keywords: Chaotic map; Long-term memory; Hurst exponent; Nonlinear dynamics (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:126:y:2019:i:c:p:361-368 DOI: 10.1016/j.chaos.2019.07.018 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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