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For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

Condensed Matter · Physics 2015-06-25 S. B. Goryachev

In the spirit of the thin-layer quantization approach, we give the formula of the geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space. The geometric contributions can result from the…

Quantum Physics · Physics 2017-08-11 Yong-Long Wang , Hua Jiang , Hong-Shi Zong

We study computationally and experimentally the propagation of chemical pulses in complex geometries.The reaction of interest, CO oxidation, takes place on single crystal Pt(110) surfaces that are microlithographically patterned; they are…

Pattern Formation and Solitons · Physics 2009-11-11 L. Qiao , I. G. Kevrekidis , C. Punckt , H. H. Rotermund

We report here new electrical laws, derived from nonlinear electro-diffusion theory, about the effect of the local geometrical structure, such as curvature, on the electrical properties of a cell. We adopt the Poisson-Nernst-Planck (PNP)…

Subcellular Processes · Quantitative Biology 2017-11-22 Jerome Cartailler , Zeev Schuss , David Holcman

This study extends previous analytical solutions of concentration-polarization occurring solely in the depleted region, to the more realistic geometry consisting of a three dimensional (3D) heterogeneous ion-permselective medium connecting…

Fluid Dynamics · Physics 2014-06-19 Yoav Green , Shahar Shloush , Gilad Yossifon

A cell is polarised when it has developed a main axis of organisation through the reorganisation of its cytosqueleton and its intracellular organelles. Polarisation can occur spontaneously or be triggered by external signals, like gradients…

Analysis of PDEs · Mathematics 2013-01-17 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

The aim of our work is to study the effect of geometry variation on nucleation times and to address its role in the context of eukaryotic chemotaxis (i.e. the process which allows cells to identify and follow a gradient of chemical…

Statistical Mechanics · Physics 2010-02-10 Carla Bosia , Michele Caselle , Davide Corá

Pulsar radio emission is modelled as a sum of two completely polarized non-orthogonal modes with the randomly varying Stokes parameters and intensity ratio. The modes are the result of polarization evolution of the original natural waves in…

Astrophysics · Physics 2009-11-11 S. A. Petrova

In this work, we investigate the dynamics of a non-local model describing spontaneous cell polarisation. It consists in a drift-diffusion equation set in the half-space, with the coupling involving the trace value on the boundary. We…

Analysis of PDEs · Mathematics 2011-05-24 Vincent Calvez , Rhoda Hawkins , Nicolas Meunier , Raphael Voituriez

Recent advances in high-resolution experimental methods have highlighted the significance of cell signal pathway crosstalk and localised signalling activity in the development and disease of numerous biological systems. The investigation of…

Dynamical Systems · Mathematics 2022-09-19 Joshua W. Moore , Trevor C. Dale , Thomas E. Woolley

Recent Molecular Dynamics simulations of glass-forming liquids revealed superdiffusive fluctuations associated with the position of a tracer particle (TP) driven by an external force. Such anomalous response, whose mechanism remains…

The impact of magnetic geometry on zonal-flow generation in ion temperature gradient driven turbulence is investigated by means of linear and nonlinear gyrokinetic simulations. The modulation of geodesic curvature on various configurations…

Plasma Physics · Physics 2026-03-02 Motoki Nakata , Seikichi Matsuoka

The migratory dynamics of cells can be influenced by the complex micro-environment through which they move. It remains unclear how the motility machinery of confined cells responds and adapts to their micro-environment. Here, we propose a…

Biological Physics · Physics 2023-12-04 Johannes Flommersfeld , Stefan Stöberl , Omar Shah , Joachim O. Rädler , Chase P. Broedersz

Reaction-diffusion processes across layered media arise in several scientific domains such as pattern-forming E. coli on agar substrates, epidermal-mesenchymal coupling in development, and symmetry-breaking in cell polarisation. We develop…

Pattern Formation and Solitons · Physics 2020-09-18 Andrew L. Krause , Václav Klika , Jacob Halatek , Paul K. Grant , Thomas E. Woolley , Neil Dalchau , Eamonn A. Gaffney

In this work an activator-depleted reaction-diffusion system is investigated on polar coordinates with the aim of exploring the relationship and the corresponding influence of domain size on the types of possible diffusion-driven…

Dynamical Systems · Mathematics 2018-01-11 Wakil Sarfaraz , Anotida Madzvamuse

We have developed a model for pulsar polarization by taking into account of viewing geometry, rotation and modulation of the emission region. By solving for the plasma dynamics, we deduced the expressions for curvature radiation electric…

High Energy Astrophysical Phenomena · Physics 2011-09-06 Dinesh Kumar , R. T. Gangadhara

We have developed a relativistic model for pulsar radio emission and polarization by taking into account of detailed geometry of emission region, rotation and modulation. The sparks activity on the polar cap leads to plasma columns in the…

High Energy Astrophysical Phenomena · Physics 2015-06-03 D. Kumar , R. T. Gangadhara

Mechanochemical patterns arising in the actomyosin cortex drive many cellular processes. Here we consider a hydrodynamic model for the actomyosin cortex of cells and study the sensitivity of the emergent patterns to both physical parameters…

Statistical Mechanics · Physics 2025-03-03 Jigyasa Watwani , Sakshi Pahujani , V Jemseena , Vishal Vasan , K Vijay Kumar

In densely-packed two-dimensional systems of growing cells, such as rod-shaped bacteria, a number of experimental and numerical studies report distinct patterns of nematic orientational order in the presence of confinement. So far, these…

Soft Condensed Matter · Physics 2025-06-13 Lukas Hupe , Jonas Isensee , Ramin Golestanian , Philip Bittihn

A system of two Schnakenberg-like reaction-diffusion equations is investigated analytically and numerically. The system has previously been used as a minimal model for concentrations of GTPases involved in the process of cell polarisation.…

Pattern Formation and Solitons · Physics 2016-09-21 Nicolas Verschueren , Alan Champneys