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ISSN 2542-1905 (Online)


For citation:

Ivanov P. S., Butylin A. A. Non-parametric analysis of collective effects in the ensemble of ionic channels. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 1, pp. 71-80.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
519.23: 577.352.2

Non-parametric analysis of collective effects in the ensemble of ionic channels

Autors: 
Ivanov Pavel Sergeevich, Lomonosov Moscow State University
Butylin Andrei Aleksandrovich, Lomonosov Moscow State University
Abstract: 

The existence of stable conductance states in the ensemble of gramicidin channels incorporated into bilayer lipid membrane have been studied. Inconsistent estimators of density function are employed as a quantitative tool for description of systems with twolevel hierarchy of random processes having similar characteristic times. Non-parametric approach to investigation of histograms of membrane current fluctuations is developed. The expansion of histograms in terms of basic set of orthogonal functions and the use of the main components method allowed to visualize wanderings of image point throughout phase space аnd to evaluate the characteristic times of stable states which proved to be equal to 1-2, 5, and 9 seconds. Local membrane deformations caused by openings of separate channels are discussed as being responsible for interactions between gramicidin dimers. The advantages of application of non-parametric methods to investigation of cooperative effects in other biological systems are also considered.

Key words: 
Acknowledgments: 
The authors express their sincere gratitude to V.A. Tverdislov and L.V. Yakovenko for fruitful discussions of this work.
Reference: 

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Received: 
01.12.1994
Accepted: 
13.12.1995
Published: 
05.06.1996