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In this paper we find an analytical solution of the equilibrium ion distribution for a toroidal model of a ionic channel, using the Perfect Screening Theorem (PST). The ions are charged hard spheres, and are treated using a variational Mean…

Biological Physics · Physics 2009-11-11 A. Enriquez , L. Blum

Characterization of transient intermediate or transition states is crucial for the description of biomolecular folding pathways, which is however difficult in both experiments and computer simulations. Such transient states are typically of…

Biomolecules · Quantitative Biology 2009-11-13 Yuan Yao , Jian Sun , Xuhui Huang , Gregory R. Bowman , Gurjeet Singh , Michael Lesnick

A model of a finite cylindrical ion channel through a phospholipid membrane of width $L$ separating two electrolyte reservoirs is studied. Analytical solution of the Poisson equation is obtained for an arbitrary distribution of ions inside…

Soft Condensed Matter · Physics 2009-11-11 Yan Levin

Sampling all possible transition paths between two 3D states of a molecular system has various applications ranging from catalyst design to drug discovery. Current approaches to sample transition paths use Markov chain Monte Carlo and rely…

Quantitative Methods · Quantitative Biology 2024-05-29 Michael Plainer , Hannes Stärk , Charlotte Bunne , Stephan Günnemann

We discuss various models of ion transport through cell membrane channels. Recent experimental data shows that sizes of ion channels are compared to those of ions and that only few ions may be simultaneously in any single channel.…

Subcellular Processes · Quantitative Biology 2007-06-06 Jan Gomulkiewicz , Jacek Miekisz , Stanislaw Miekisz

Biological tissues are complex structures composed of many elements which make light-based tissue diagnostics challenging. Over the past decades, Monte Carlo technique has been used as a fundamental and versatile approach toward modeling…

Optics · Physics 2024-05-17 Maryam Ghahremani

The ability of semipermeable membranes to selectively impede the transport of undesirable solutes is key to many applications. Yet, obtaining a systematic understanding of how membrane structure affects selectivity remains elusive due to…

Soft Condensed Matter · Physics 2020-01-03 Hessam Malmir , Razi Epsztein , Menachem Elimelech , Amir Haji-Akbari

Muon ionization cooling involves passing particles through solid or liquid absorbers. Careful simulations are required to design muon cooling channels. New features have been developed for inclusion in the transfer map code COSY Infinity to…

Accelerator Physics · Physics 2018-08-15 Josiah Kunz , Pavel Snopok , Martin Berz , Kyoko Makino

Gas transport across cell membrane is a very important process in biochemistry which is essential for many crucial tasks, including cell respiration pH regulation in the cell. In the late 1990's, the suggestion that gasses are transported…

Numerical Analysis · Mathematics 2026-01-29 Alberto Bocchinfuso , Daniela Calvetti , Erkki Somersalo

A simple algorithm is described to sample permutations of identical particles in Path Integral Monte Carlo (PIMC) simulations of continuum many-body systems. The sampling strategy illustrated here is fairly general, and can be easily…

Computational Physics · Physics 2009-11-11 Massimo Boninsegni

The behaviour of a system of ion channels formed across the cell membrane is presented. The infinite number of channels with an infinite coupling is introduced first as a reference point for the detailed derivation of the…

Biological Physics · Physics 2007-05-23 Adam Rycerz

High-fidelity analysis of translocating biomolecules through nanopores demands shortening the nanocapillary length to a minimal value. Existing nanopores and capillaries, however, inherit a finite length from the parent membranes. Here, we…

We give a geometrically exact treatment of percolation through voids around assemblies of randomly placed impermeable barrier particles, introducing a computationally inexpensive approach to finding critical barrier density thresholds…

Statistical Mechanics · Physics 2018-01-01 Donald Priour , Nicholas McGuigan

We develop a correlation-corrected transport theory in order to predict ionic and polymer transport properties of membrane nanopores in physical conditions where mean-field electrostatics breaks down. The experimentally observed low KCl…

Soft Condensed Matter · Physics 2014-11-06 Sahin Buyukdagli , Tapio Ala-Nissila

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

Although histogram methods have been extremely effective for analyzing data from Monte Carlo simulations, they do have certain limitations, including the range over which they are valid and the difficulties of combining data from…

Statistical Mechanics · Physics 2015-06-25 Robert H. Swendsen , Jian-Sheng Wang , Shing-Te Li , Brian Diggs , Christopher Genovese , Joseph B. Kadane

Ion channels are specific proteins present in the membranes of living cells. They control the flow of specific ions through a cell, initiated by an ion channel's electrochemical gradient. In doing so, they control important physiological…

Subcellular Processes · Quantitative Biology 2012-09-14 Andrew Das Arulsamy

Translocation properties of ionic channels are investigated, on the basis of classical electrostatics, with an emphasis on asymptotic formulas for the potential and field associated with a point charge in the channel. Due to image charges…

Soft Condensed Matter · Physics 2007-05-23 Sofian Teber

There has been tremendous experimental progress in the last decade in identifying the structure and function of biological pores (ion channels) and fabricating synthetic pores. Despite this progress, many questions still remain about the…

Soft Condensed Matter · Physics 2015-03-17 Michael Zwolak , James Wilson , Massimiliano Di Ventra

Membrane protein transporters alternate their substrate-binding sites between the extracellular and cytosolic side of the membrane according to the alternating access mechanism. Inspired by this intriguing mechanism devised by nature, we…

Biological Physics · Physics 2017-11-08 Yizhou Tan , Leonardo Dagdug , Jannes Gladrow , Ulrich F. Keyser , Stefano Pagliara