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  Integral weak diffusion and diffusion approximations applied to ion transport through biological ion channels

Syganow, A., & Von Kitzing, E. (1995). Integral weak diffusion and diffusion approximations applied to ion transport through biological ion channels. The Journal of Physical Chemistry, 99(31), 12030-12040. doi:10.1021/j100031a036.

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Alternative Title : Integral weak diffusion and diffusion approximations applied to ion transport through biological ion channels

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 Creators:
Syganow, Alexander1, Author           
Von Kitzing, Eberhard1, Author           
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1Department of Cell Physiology, Max Planck Institute for Medical Research, Max Planck Society, ou_1497701              

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 Abstract: In this article a theory is presented to calculate integral properties of biological ion channels (like currentvoltage and conductance-concentration relations). The qualitative form of these relations predicted by the theory agrees well with data measured in experiments. For instance, the saturation of the channel conductance with increasing external ion concentration is predicted for a class of ion channels (as, for instance, found for the gramicidin A, acetylcholine receptors, NMDA, and sarcoplasmic reticulum channels). In contrast to commonly used approaches such as the Eyring rate theory, this method is directly related to physical parameters of the ion channel such as the channel length and diameter, dielectric constant, ionic mobility, and minimal ionic concentration inside the channel. The theory starts from Nernst-Planck and Poisson equations. Using the method of phase trajectory (as proposed by Schottky) and the regional approximation, rather general expressions can be derived for integral channel quantities in the drift limit (|Vl > kBT/eo) in the presence of multiple ionic species. The theory predicts two typical types of conductance-concentration relations found experimentally: a monotone saturating conductance and a maximum in the conductance. The realized type of relation depends on the minimal ionic concentration inside the channel. In the present form the theory is restricted to narrow ion channels where the length exceeds its diameter. The ions are assumed to behave like structureless point charges at not too high ionic concentration.

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Language(s): eng - English
 Dates: 1995-01-091995-04-171995
 Publication Status: Published in print
 Pages: 11
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 666709
Other: 4200
DOI: 10.1021/j100031a036
URI: http://pubs.acs.org/doi/abs/10.1021/j100031a036
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Title: The Journal of Physical Chemistry
  Abbreviation : J. Phys. Chem.
Source Genre: Journal
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Publ. Info: Washington, D.C. : American Chemical Society
Pages: - Volume / Issue: 99 (31) Sequence Number: - Start / End Page: 12030 - 12040 Identifier: ISSN: 1932-7447
CoNE: https://pure.mpg.de/cone/journals/resource/954926947766_3