Searching for self-similarity in switching time and turbulent cascades in ion transport through a biochannel. A time delay asymmetry

Marcel Ausloos, Kristinka Ivanova and Zuzanna Siwy

Physica A: Statistical Mechanics and its Applications, 2004, vol. 336, issue 3, 319-333

Abstract: The process of ion transport through a locust potassium channel is described by means of the Fokker–Planck equation (FPE). The deterministic and stochastic components of the process of switching between various conducting states of the channel are expressed by two coefficients, D(1) and D(2), a drift and a diffusion coefficient, respectively. The FPE leads to a Langevin equation. This analysis reveals beside the well-known deterministic aspects a turbulent, cascade type of action. The (noisy-like) switching between different conducting states prevents the channel from staying in one, closed or open state. The similarity between the hydrodynamic flow in the turbulent regime and hierarchical switching between conducting states of this biochannel is discussed. A non-trivial character of D(1) and D(2) coefficients is shown, which points to different processes governing the channel's action, asymetrically depending on the history of the previously conducting states. Moreover, the Fokker–Planck and Langevin equations provide information on whether and how the statistics of the channel action change over various time scales.

Keywords: Ionic current; BK channel; Probability density; Fokker–Planck equation (search for similar items in EconPapers)
Date: 2004
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103012421
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:336:y:2004:i:3:p:319-333

DOI: 10.1016/j.physa.2003.12.055

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().