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This paper considers membranes of globular structure in the framework of the cell model technique. Coupled micropolar and Brinkman-type equations are used to model the flow of micropolar fluid through a spherical cell, consisting of solid…

Fluid Dynamics · Physics 2020-05-05 D. Yu. Khanukaeva

We propose a theoretical approach to estimate the permeability coefficient of substrates (permeants) for crossing membranes from donor (D) phase to acceptor (A) phase by means of molecular dynamics (MD) simulation. A fundamental aspect of…

In this paper we investigate the hydrodynamic permeance of water through graphene-based membranes, inspired by recent experimental findings on graphene-oxide membranes. We consider the flow across multiple graphene layers having nanoslits…

Mesoscale and Nanoscale Physics · Physics 2016-06-16 Hiroaki Yoshida , Lydéric Bocquet

Viscosity is a key property of cell membranes that controls mobility of embedded proteins and membrane remodeling. Measuring it is challenging because existing approaches involve complex experimental designs and/or models, and the…

Soft Condensed Matter · Physics 2023-07-19 Hammad A. Faizi , Rumiana Dimova , Petia M. Vlahovska

Many of the most important processes in cells take place on and across membranes. With the rise of an impressive array of powerful quantitative methods for characterizing these membranes, it is an opportune time to reflect on the structure…

Biomolecules · Quantitative Biology 2017-03-08 Rob Phillips

Membrane proteins constitute a large portion of the human proteome and perform a variety of important functions as membrane receptors, transport proteins, enzymes, signaling proteins, and more. The computational studies of membrane proteins…

Biological Physics · Physics 2017-04-25 Li Xiao , Jianxiong Diao , D Artagnan Greene , Junmei Wang , Ray Luo

Living organisms survive and multiply even though they have uncertain and incomplete information about their environment and imperfect models to predict the consequences of their actions. Bayesian models have been proposed to face this…

Emerging Technologies · Computer Science 2015-11-13 Jacques Droulez , David Colliaux , Audrey Houillon , Pierre Bessière

The viscosity of lipid bilayer membranes plays an important role in determining the diffusion constant of embedded proteins and the dynamics of membrane deformations, yet it has historically proven very difficult to measure. Here we…

Soft Condensed Matter · Physics 2013-08-30 Aurelia R. Honerkamp-Smith , Francis G. Woodhouse , Vasily Kantsler , Raymond E. Goldstein

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps.…

Biological Physics · Physics 2007-05-23 L. P. Endresen , K. Hall , J. S. Hoye , J. Myrheim

With increasing water scarcity, membrane distillation technology has gained widespread attention as an innovative method for seawater desalination.However,existing studies often overlook the influence of membrane characteristics on mass…

Fluid Dynamics · Physics 2025-03-06 Hongxuan Zhang , Dian Gong , Yiling Zhou , Zhangrong Qin , Binghai Wen

Numerical modeling of proton exchange membrane fuel cells is at the verge of becoming predictive. A crucial requisite for this, though, is that material properties of the membrane-electrode assembly and their functional dependence on the…

Applied Physics · Physics 2019-10-03 Roman Vetter , Jürgen O. Schumacher

Mathematical modeling is an important theoretical tool which provides researchers with quantification of the permeability of dialyzing systems in renal replacement therapy. In the paper we provide a short review of the most successful…

Tissues and Organs · Quantitative Biology 2018-05-16 Marina V Voinova

In the popular solution-diffusion picture, the membrane permeability is defined as the product of the partition ratio and the diffusivity of penetrating solutes inside the membrane in the linear response regime, i.e., in equilibrium.…

Soft Condensed Matter · Physics 2022-08-25 Won Kyu Kim , Sebastian Milster , Rafael Roa , Matej Kanduč , Joachim Dzubiella

A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a…

Analysis of PDEs · Mathematics 2016-06-29 Charles M. Elliott , Carsten Gräser , Graham Hobbs , Ralf Kornhuber , Maren-Wanda Wolf

In this manuscript, a general method for deriving filtering algorithms that involve a network of interconnected Bayesian filters is proposed. This method is based on the idea that the processing accomplished inside each of the Bayesian…

Statistics Theory · Mathematics 2020-04-22 Giorgio M. Vitetta , Pasquale Di Viesti , Emilio Sirignano , Francesco Montorsi

We present a realistic phenomenological description of liquid transport through defective, layered membranes. We derive general expressions based on conventional models of laminar flow and extend the formalism to accommodate slip flow. We…

Materials Science · Physics 2020-10-27 Alexander Quandt , Andrii Kyrylchuk , Gotthard Seifert , David Tománek

The gas transport through non-volatile random porous media is investigated numerically. We extend our previous research of the transport of molecules inside the uppermost layer of a cometary surface (Skorov and Rickmann, 1995; Skorov et al.…

Earth and Planetary Astrophysics · Physics 2015-05-27 Yu. Skorov , R. van Lieshout , J. Blum , H. U. Keller

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps…

Biological Physics · Physics 2007-05-23 Lars Petter Endresen , Kevin Hall

This chapter summarizes several approaches combining theory, simulation and experiment that aim for a better understanding of phenomena in lipid bilayers and membrane protein systems, covering topics such as lipid rafts, membrane mediated…

Biological Physics · Physics 2014-12-17 Markus Deserno , Kurt Kremer , Harald Paulsen , Christine Peter , Friederike Schmid

Model biomembrane systems play a crucial role in advancing biomedical research by providing simplified yet effective platforms for exploring complex biological mechanisms. These systems span a wide range of scales, from…

Soft Condensed Matter · Physics 2025-10-01 Ajit Seth , Sajal K. Ghosh , Veerendra K. Sharma
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