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Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

Simulations of macromolecular diffusion and adsorption in confined environments can offer valuable mechanistic insights into numerous biophysical processes. In order to model solutes at atomic detail on relevant time scales, Brownian…

Soft Condensed Matter · Physics 2021-03-16 Martin Reinhardt , Neil J. Bruce , Daria B. Kokh , Rebecca C. Wade

Capturing the interaction between objects that have an extreme difference in Young s modulus or geometrical scale is a highly challenging topic for numerical simulation. One of the fundamental questions is how to build an accurate…

Computational Engineering, Finance, and Science · Computer Science 2019-10-01 Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Fernando Alonso-marroquin

We describe simulations of Proteins and artificial pseudo-molecules interacting and shaping lipid bilayer membranes. We extract protein diffusion Parameters, membrane deformation profiles and the elastic properties of the used membrane…

Biological Physics · Physics 2017-12-08 Jan Henning Peters , Carsten Gräser , Rupert Klein

Particle-particle interactions in sedimenting systems have been investigated in the present study considering the many-body hydrodynamic and electrodynamic interactions. These interactions primarily occur in two modes: near-field and…

Fluid Dynamics · Physics 2016-05-04 Sagardip Majumder , Jayabrata Dhar , Suman Chakraborty

We study a continuum model of the lipid bilayer based on minimizing the free energy of a mixture of water and lipid molecules. This paper extends previous work by Blom & Peletier (2004) in the following ways. (a) It formulates a more…

Soft Condensed Matter · Physics 2020-06-05 Phillip L. Wilson , Huaxiong Huang , Shu Takagi

Most organic and inorganic surfaces (e.g., glass, nucleic acids or lipid membranes) become charged in aqueous solutions. The resulting ionic distribution induces effective interactions between the charged surfaces. Stacks of like-charged…

We consider the statics and dynamics of a flexible polymer confined between parallel plates both in the presence and absence of hydrodynamic interactions. The hydrodynamic interactions are described at the level of the fluctuating,…

Soft Condensed Matter · Physics 2012-11-01 Santtu T. T. Ollila , Colin Denniston , Mikko Karttunen , Tapio Ala-Nissila

In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This…

Soft Condensed Matter · Physics 2015-05-27 Gustavo C. Abade , Bogdan Cichocki , Maria L. Ekiel-Jezewska , Gerhard Naegele , Eligiusz Wajnryb

Active suspensions encompass a wide range of complex fluids containing microscale energy-injecting particles, such as cells, bacteria or artificially powered active colloids. Because they are intrinsically non-equilibrium, active…

Soft Condensed Matter · Physics 2024-07-09 Zhouyang Ge , Gwynn J. Elfring

An arbitrary Lagrangian--Eulerian finite element method and numerical implementation for curved and deforming lipid membranes is presented here. The membrane surface is endowed with a mesh whose in-plane motion need not depend on the…

Computational Physics · Physics 2026-02-24 Amaresh Sahu

Using techniques of the theory of semigroups of linear operators we study the question of approximating solutions to equations governing diffusion in thin layers separated by a semi-permeable membrane. We show that as thickness of the…

Analysis of PDEs · Mathematics 2019-08-08 Adam Bobrowski

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

We study diffusion of colloids on a fluid-fluid interface using particle simulations and fluctuating hydrodynamics. Diffusion on a two-dimensional interface with three-dimensional hydrodynamics is known to be anomalous, with the collective…

Statistical Mechanics · Physics 2018-08-01 R. P. Peláez , F. Balboa Usabiaga , S. Panzuela , Q. Xiao , R. Delgado-Buscalioni , A. Donev

We present a stochastic phase-field model for multicomponent lipid bilayers that explicitly accounts for the quasi-two-dimensional hydrodynamic environment unique to a thin fluid membrane immersed in aqueous solution. Dynamics over a wide…

Soft Condensed Matter · Physics 2011-05-26 Brian A. Camley , Frank L. H. Brown

We study the relative translation of two arbitrarily shaped objects, caused by their hydrodynamic interaction as they are forced through a viscous fluid in the limit of zero Reynolds number. It is well known that in the case of two rigid…

Fluid Dynamics · Physics 2016-05-03 Tomer Goldfriend , Haim Diamant , Thomas A. Witten

Hydrodynamic interactions between particles confined in a liquid-filled linear channel are known to be screened beyond a distance comparable to the channel width. Using a simple analytical theory and lattice-Boltzmann simulations, we show…

Soft Condensed Matter · Physics 2010-07-06 Derek Frydel , Haim Diamant

Integral membrane proteins deform the surrounding bilayer creating long-ranged forces that influence distant proteins. These forces can be attractive or repulsive, depending on the proteins' shape, height, contact angle with the bilayer, as…

Statistical Mechanics · Physics 2007-05-23 Tom Chou , Ken S. Kim , George Oster

For suspensions of permeable particles, the short-time translational and rotational self-diffusion coefficients, and collective diffusion and sedimentation coefficients are evaluated theoretically. An individual particle is modeled as a…

Soft Condensed Matter · Physics 2015-05-27 Bogdan Cichocki , Maria L. Ekiel-Jezewska , G. Naegele , E. Wajnryb

We obtain the hydrodynamic limit of one-dimensional interacting particle systems describing the macroscopic evolution of the density of mass in infinite volume from the microscopic dynamics. The processes are weak pertubations of the…

Probability · Mathematics 2009-08-14 Glauco Valle