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A geometrically exact membrane formulation is presented that is based on curvilinear coordinates and isogeometric finite elements, and is suitable for both solid and liquid membranes. The curvilinear coordinate system is used to describe…

Computational Engineering, Finance, and Science · Computer Science 2012-10-18 Roger A. Sauer , Thang X. Duong , Callum J. Corbett

Ever since the raft model for biomembranes has been proposed, the traditional view of biomembranes based on the fluid-mosaic model has been altered. In the raft model, dynamical heterogeneities in multi-component lipid bilayers play an…

Soft Condensed Matter · Physics 2014-10-16 Shigeyuki Komura , David Andelman

The unique properties and atomic thickness of two-dimensional (2D) materials enable smaller and better nanoelectromechanical sensors with novel functionalities. During the last decade, many studies have successfully shown the feasibility of…

A non-destructive method for measuring the resonant absorption coefficient of rare-earth-doped optical fibers is introduced. It can be applied to a broad range of fiber designs and host materials. The method compares the side-collected…

Optics · Physics 2019-03-27 Mostafa Peysokhan , Esmaeil Mobini , Behnam Abaie , Arash Mafi

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

Transport of water through ion-exchange membranes is of importance both for electrodialysis (ED) and reverse electrodialysis (RED). In this work, we extend our previous theory [J. Membrane Sci., 510, (2016) 370-381] and include water…

Chemical Physics · Physics 2019-12-24 M. Tedesco , H. V. M. Hamelers , P. M. Biesheuvel

Ion transport through nanopores permeates through many areas of science and technology, from cell behavior to sensing and separation to catalysis and batteries. Two-dimensional materials, such as graphene, molybdenum disulfide (MoS$_2$),…

Mesoscale and Nanoscale Physics · Physics 2019-07-19 Subin Sahu , Michael Zwolak

We design a finite element method (FEM) for a membrane model of liquid crystal polymer networks (LCNs). This model consists of a minimization problem of a non-convex stretching energy. We discuss properties of this energy functional such as…

Numerical Analysis · Mathematics 2023-07-26 Lucas Bouck , Ricardo H. Nochetto , Shuo Yang

This is a review article on the development of the probe and enclosure methods from past to present, focused on their central ideas together with various applications.

Analysis of PDEs · Mathematics 2025-08-25 Masaru Ikehata

In these lecture notes, we give an overview about non-local field-theories and their application to polymerized membranes, i.e. membranes with a fixed internal connectivity. The main technical tool is the multi-local operator product…

Condensed Matter · Physics 2007-05-23 Kay Joerg Wiese

We investigate the dynamics of water confined in soft ionic nano-assemblies, an issue critical for a general understanding of the multi-scale structure-function interplay in advanced materials. We focus in particular on hydrated…

Materials Science · Physics 2017-08-23 Quentin Berrod , Samuel Hanot , Armel Guillermo , Stefano Mossa , Sandrine Lyonnard

We discuss the role coarse-grained models play in the investigation of the structure and thermodynamics of bilayer membranes, and we place them in the context of alternative approaches. Because they reduce the degrees of freedom and employ…

Soft Condensed Matter · Physics 2009-11-11 Marcus Mueller , Kirill Katsov , Michael Schick

We investigate the microscopic contact of a cell/semiconductor hybrid. The semiconductor is nanostructured with the aim of single channel recording of ion channels in cell membranes. This approach will overcome many limitations of the…

Soft Condensed Matter · Physics 2007-05-23 N. Fertig , A. Tilke , R. H. Blick , J. P. Kotthaus , J. C. Behrends , G. ten Bruggencate

The aim of this paper is to provide a survey of the state of the art in the finite element approach to the Immersed Boundary Method (FE-IBM) which has been investigated by the authors during the last decade. In a unified setting, we present…

Numerical Analysis · Mathematics 2014-07-22 Daniele Boffi , Lucia Gastaldi

We present a method of deriving two boundary conditions at a thin membrane for diffusion from experimental data. This method can be really useful in complex membrane systems in which we do not know mechanisms of processes occurring within…

Statistical Mechanics · Physics 2018-08-01 Katarzyna D. Lewandowska , Tadeusz Kosztołowicz

Hydrogen is one of the prime candidates for clean energy source with high energy density. However, current industrial methods of hydrogen production are difficult to provide hydrogen with high purity, thus hard to meet the requirements in…

Applied Physics · Physics 2021-07-06 Liliang Tian , Humin Duan , Jiaming Luo , Yonghong Cheng , Le Shi

Polymer translocation is a promising strategy for the next-generation DNA sequencing technologies. The use of biological and synthetic nano-pores, however, still suffers from serious drawbacks. In particular, the width of the membrane layer…

Soft Condensed Matter · Physics 2017-11-30 Timothee Menais , Stefano Mossa , Arnaud Buhot

Atmospheric water harvesting is urgently needed given increasing global water scarcity. Current sorbent-based devices that cycle between water capture and release have low harvesting rates. We envision a radically different multi-material…

Microphase separation of membrane components is thought to play an important role in many physiological processes, from cell signaling to endocytosis and cellular trafficking. Here, we study how variations in the membrane composition can be…

Subcellular Processes · Quantitative Biology 2015-05-20 Pierre Sens , Matthew S. Turner

Suspended graphene membrane presents a particular structure with fundamental interests and applications in nanomechanics, thermal transport and optoelectronics. Till now, the commonly used geometries are still quite simple and limited to…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 Julien Chaste , Amina Saadani , Alexandre Jaffre , Ali Madouri , José Alvarez , Debora Pierucci , Zeineb Ben Aziza , Abdelkarim Ouerghi