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Diffusion at solid-liquid interfaces is crucial in many technological and biophysical processes. Although its behavior seems deceivingly simple, recent studies showing passive superdiffusive transport suggest diffusion on surfaces may hide…

Statistical Mechanics · Physics 2016-05-25 Diego Krapf , Grace Campagnola , Kanti Nepal , Olve B. Peersen

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

Bacterial cellulose biofilms are complex networks of strong interwoven nanofibers that control transport and protect bacterial colonies in the film. Design of diverse applications of bacterial cellulose films also relies on understanding…

Soft Condensed Matter · Physics 2022-06-09 Firoozeh Babayekhorasani , Maryam Hosseini , Patrick T. Spicer

The induced diffusion of tracers in a bacterial suspension is studied theoretically and experimentally at low bacterial concentrations. Considering the swimmer-tracer hydrodynamic interactions at low-Reynolds number and using a kinetic…

Soft Condensed Matter · Physics 2015-06-11 G. L. Miño , J. Dunstan , A. Rousselet , E. Clement , R. Soto

Microparticles migrate in response to gradients in solute concentration through diffusiophoresis and diffusioosmosis. Merging streams of fluid with distinct solute concentrations is a common strategy for producing a steady concentration…

Fluid Dynamics · Physics 2023-06-01 Robben E. Migacz , Guillaume Durey , Jesse T. Ault

Motile bacteria are known to accumulate at surfaces, eventually leading to changes in bacterial motility and bio-film formation. We use a novel two-colour, three-dimensional Lagrangian tracking technique, to follow simultaneously the body…

We study the diffusion and submonolayer spreading of chainlike molecules on surfaces. Using the fluctuating bond model we extract the collective and tracer diffusion coefficients D_c and D_t with a variety of methods. We show that…

Condensed Matter · Physics 2009-10-28 T. Ala-Nissila , S. Herminghaus , T. Hjelt , P. Leiderer

Diffusive transport of small molecules within the internal structures of biological and synthetic material systems is complex because the crowded environment presents chemical and physical barriers to mobility. We explored this mobility…

Soft Condensed Matter · Physics 2020-09-29 Rajarshi Guha , Subhadip Ghosh , Darrell Velegol , Peter J. Butler , Ayusman Sen , Jennifer L. Ross

We discuss the diffusion phenomenon in the parabolic and hyperbolic regimes. New effects related to the finite velocity of the diffusion process are predicted, that can partially explain the strange behavior associated to adsorption…

Mathematical Physics · Physics 2014-02-13 A. Sapora , M. Codegone , G. Barbero

Reaction-diffusion systems have been widely used to study spatio-temporal phenomena in cell biology, such as cell polarization. Coupled bulk-surface models naturally include compartmentalization of cytosolic and membrane-bound polarity…

Pattern Formation and Solitons · Physics 2020-08-11 Frédéric Paquin-Lefebvre , Bin Xu , Kelsey L. DiPietro , Alan E. Lindsay , Alexandra Jilkine

Sedimentation in active fluids has come into focus due to the ubiquity of swimming micro-organisms in natural and artificial environments. Here, we experimentally investigate sedimentation of passive particles in water containing various…

Fluid Dynamics · Physics 2017-10-12 Jaspreet Singh , Alison E. Patteson , Prashant K. Purohit , Paulo E. Arratia

We investigate the propagating profiles of a degenerate chemotaxis model describing the bacteria chemotaxis and consumption of oxygen by aerobic bacteria, in particular, the effect of the initial attractant distribution on bacterial…

Analysis of PDEs · Mathematics 2020-05-12 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute…

Fluid Dynamics · Physics 2017-05-09 Feng Xu , Oliver E. Jensen

Chemical reactions inside cells are generally considered to happen within fixed-size compartments. Needless to say, cells and their compartments are highly dynamic. Thus, such stringent assumptions may not reflect biochemical reality, and…

Quantitative Methods · Quantitative Biology 2016-02-17 Atiyo Ghosh , Tatiana T. Marquez-Lago

The function of many membrane-enclosed intracellular structures relies on release of diffusing particles that exit through narrow pores or channels in the membrane. The rate of release varies with pore size, density, and length of the…

Biological Physics · Physics 2023-02-08 Zitao Yang , Elena F. Koslover

When a macroscopic droplet spreads, a thin precursor film of liquid moves ahead of the advancing liquid-solid-vapor contact line. Whereas this phenomenon has been explored extensively for planar solid substrates, its presence in…

Soft Condensed Matter · Physics 2020-12-08 Luisa G. Cencha , Guido Dittrich , Patrick Huber , Claudio L. A. Berli , Raul Urteaga

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

Statistical Mechanics · Physics 2020-08-19 Denis S. Grebenkov

Reaction-diffusion models with nonlocal constraints naturally arise as limiting cases of coupled bulk-surface models of intracellular signalling. In this paper, a minimal, mass-conserving model of cell-polarization on a curved membrane is…

Pattern Formation and Solitons · Physics 2022-10-04 Pearson W. Miller , Daniel Fortunato , Matteo Novaga , Stanislav Y. Shvartsman , Cyrill B. Muratov

We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times, but anomalous…

Subcellular Processes · Quantitative Biology 2007-06-06 Dietrich Stauffer , Christian Schulze , Dieter W. Heermann

A random walk scheme, consisting of alternating phases of regular Brownian motion and L\'evy walks, is proposed as a model for run-and-tumble bacterial motion. Within the continuous-time random walk approach we obtain the long-time and…

Biological Physics · Physics 2017-01-26 Felix Thiel , Lutz Schimansky-Geier , Igor M. Sokolov