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The effect of fluctuations on the conductivity of ion channels is investigated. It is shown that modulation of the potential barrier at the selectivity site due to electrostatic amplification of charge fluctuations at the channel mouth…

Biological Physics · Physics 2009-11-13 D. G. Luchinsky , R. Tindjong , I. Kaufman , P. V. E. McClintock , R. S. Eisenberg

Ion channels are proteins with a hole down the middle embedded in cell membranes. Membranes form insulating structures and the channels through them allow and control the movement of charged particles, spherical ions, mostly Na+, K+, Ca++,…

Biomolecules · Quantitative Biology 2015-05-11 Bob Eisenberg

A model of mobile, charged ion channels in a fluid membrane is studied. The channels may switch between an open and a closed state according to a simple two-state kinetics with constant rates. The effective electrophoretic charge and the…

Soft Condensed Matter · Physics 2009-11-07 Stephan C. Kramer , Reiner Kree

Voltage-activated ion channels vary randomly between open and closed states, influenced by the membrane potential and other factors. Signal transduction is enhanced by noise in a simple ion channel model. The enhancement occurs in a finite…

Biological Physics · Physics 2007-05-23 Michael J. Barber , Manfred L. Ristig

Voltage-dependent ion channels determine the electric properties of axonal cell membranes. They not only allow the passage of ions through the cell membrane but also contribute to an additional charging of the cell membrane resulting in the…

Neurons and Cognition · Quantitative Biology 2009-11-13 G. Schmid , I. Goychuk , P. Hanggi

Unassisted ion transport through lipid membranes plays a crucial role in many cell functions without which life would not be possible, yet the precise mechanism behind the process remains unknown due to its molecular complexity. Here, we…

Soft Condensed Matter · Physics 2022-07-25 David Roesel , Maksim Eremchev , Chetan S. Poojari , Jochen S. Hub , Sylvie Roke

Ion transport through narrow water--filled channels is impeded by a high electrostatic barrier. The latter originates from the large ratio of the dielectric constants of the water and a surrounding media. We show that ``doping'', i.e.…

Soft Condensed Matter · Physics 2009-11-11 J. Zhang , A. Kamenev , B. I. Shklovskii

Ion channels orchestrate the communication between cells and their environment. These are special proteins capable of changing their shape to allow ions to pass through membranes in response to stimuli like membrane tension. As the letters…

Biological Physics · Physics 2024-09-17 Uğur Çetiner

A simple theory of ion permeation through a channel is presented, in which diffusion occurs according to Fick's law and drift according to Ohm's law, in the electric field determined by all the charges present. This theory accounts for…

Biomolecules · Quantitative Biology 2016-10-17 Bob Eisenberg

This paper reports a relation between ionic conductivity and electric current fluctuations. The relation was derived using statistical analysis and entropy approach. The relation can be used to calculate ionic conductivity.

Statistical Mechanics · Physics 2016-07-26 Yong-Jun Zhang

Biological systems rely on autonomous modes of charge transport to transmit signals, whereas conventional artificial systems typically depend on external fields, such as voltage or pressure gradients, limiting their adaptability. Here we…

Soft Condensed Matter · Physics 2025-10-20 Sergi G. Leyva , Ahis Shresta , Monica Olvera de la Cruz

The fluctuations of the charge on an electrode contain information on the microscopic correlations within the adjacent fluid and their effect on the electronic properties of the interface. We investigate these fluctuations using molecular…

Transport of molecules across membrane channels is investigated theoretically using exactly solvable one-dimensional discrete-state stochastic models. An interaction between molecules and membrane pores is modeled via a set of binding sites…

Soft Condensed Matter · Physics 2009-11-13 Anatoly B. Kolomeisky , Stanislav Kotsev

We characterize the role of electrostatic fluctuations on the charge selectivity of cylindrical nanopores confining electrolyte mixtures. To this end, we develop an extended one-loop theory that can account for correlation effects induced…

Soft Condensed Matter · Physics 2014-03-05 Sahin Buyukdagli , T. Ala-Nissila

The frequency-dependent spectrum of current fluctuations through nano-scale channels is studied using analytical and computational techniques. Using a stochastic Nernst-Planck description and neglecting the interactions between the ions…

Statistical Mechanics · Physics 2018-04-04 Mira Zorkot , Ramin Golestanian

We study the role of ionic correlations on the electroosmotic flow in planar double-slit channels, without salt. We propose an analytical theory, based on recent advances in the understanding of correlated systems. We compare the theory…

Soft Condensed Matter · Physics 2021-02-04 Ivan Palaia , Igor M. Telles , Alexandre P. dos Santos , Emmanuel Trizac

We generalize the predictions for attractions between over-all neutral surfaces induced by charge fluctuations/correlations to non-uniform systems that include dielectric discontinuities, as is the case for mixed charged lipid membranes in…

Soft Condensed Matter · Physics 2009-10-31 Rebecca Menes , Philip Pincus , Bean Stein

Molecular orientation fluctuations in ferroelectric smectic liquid crystals produce space charges, due to the divergence of the spontaneous polarization. These space charges interact with mobile ions, so that one must consider the coupled…

Soft Condensed Matter · Physics 2007-08-16 Robert A. Pelcovits , J. -B. Lee , R. B. Meyer

Ion channels are of major interest and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on one hand to propose a fully stochastic and…

Biomolecules · Quantitative Biology 2016-01-11 Daniela Morale , Mattia Zanella , Vincenzo Capasso , Willi Jaeger

A model of mobile, charged ion channels embedded in a biomembrane is investigated. The ion channels fluctuate between an opened and a closed state according to a simple two-state reaction scheme whereas the total number of ion channels is a…

Pattern Formation and Solitons · Physics 2009-11-11 Ronny Peter , Walter Zimmermann
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