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This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion. We assume that cells try to avoid crowded areas and prefer locally…

Analysis of PDEs · Mathematics 2024-05-24 Quentin Griette , Pierre Magal , Min Zhao

Propagation of the surface waves on the interface between an uniaxial hyperbolic material and an isotopical topological insulator is studied. The cases of the anisotropy axes is normal to interface or one is coplanar to interface are…

Optics · Physics 2017-06-20 Ekaterina Lyashko , Andrei Maimistov , Ildar Gabitov

The electric properties of mono- and multi-layer graphene films were systematically studied with the layer number determined by their optical contrast. The current modulation increased monotonically with a decrease in the layer number due…

Materials Science · Physics 2013-04-26 Kosuke Nagashio , Tomonori Nishimura , Koji Kita , Akira Toriumi

Quasi-periodic intensity disturbances propagating upward along the coronal structure have been extensively studied using EUV imaging observations from SOHO/EIT and TRACE. They were interpreted as either slow mode magnetoacoustic waves or…

Solar and Stellar Astrophysics · Physics 2012-01-26 Tongjiang Wang , Leon Ofman , Joseph M. Davila

We study the emergence of periodic oscillations through a Hopf bifurcation in a scalar diffusion equation on the half line coupled to a dynamic boundary condition. Our results quantify the effect of delay through the buffering in the…

Analysis of PDEs · Mathematics 2026-04-02 Merlin Pelz , Arnd Scheel

The present paper considers the flow of micropolar fluid through a membrane modeled as a swarm of solid cylindrical particles with porous layer using the cell model technique. Traditional boundary conditions on hypothetical cell surface…

Fluid Dynamics · Physics 2019-03-21 D. Yu. Khanukaeva , A. N. Filippov , P. K. Yadav , A. Tiwari

Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of the normal to the…

Soft Condensed Matter · Physics 2013-04-09 Philippe Boulanger , Michel Destrade , Michael A. Hayes

We investigate the electronic and optical properties of monolayer and stacking dependent bilayer blue phosphorus in the framework of density functional theory (DFT) and tight-binding approximations. We extract the hopping parameters of TB…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Y. Mogulkoc , M. Modarresi , A. Mogulkoc , Y. O. Ciftci

Near the critical point, isothermal interfacial zones are investigated starting from a non-local density of energy. From the equations of motion of thermocapillary fluids, we point out a new kind of adiabatic waves propagating along the…

Fluid Dynamics · Physics 2008-01-16 Henri Gouin

We present transport and structural data from epitaxial (100) and (111) Au/Fe multilayers grown by molecular beam epitaxy. From their analysis, we conclude that an electron channelling mechanism, due to strong specular reflection of the…

Condensed Matter · Physics 2009-10-31 D. T. Dekadjevi , P. A. Ryan , B. J. Hickey , B. D. Fulthorpe , B. K. Tanner

We introduce the notion of cell division-induced activity and show that the cell division generates extensile forces and drives dynamical patterns in cell assemblies. Extending the hydrodynamic models of lyotropic active nematics we…

Soft Condensed Matter · Physics 2015-08-07 Amin Doostmohammadi , Sumesh P. Thampi , Thuan B. Saw , Chwee T. Lim , Benoit Ladoux , Julia M. Yeomans

We present experimental results on hydrothermal traveling-waves dynamics in long and narrow 1D channels. The onset of primary traveling-wave patterns is briefly presented for different fluid heights and for annular or bounded channels,…

Pattern Formation and Solitons · Physics 2009-11-07 Nicolas Garnier , Arnaud Chiffaudel , Francois Daviaud , Arnaud Prigent

Dynamics of single flexible non-Brownian fibers, tumbling in a Poiseuille flow between two parallel solid plane walls, is studied with the use of the hydromultipole numerical code, based on the multipole expansion of the Stokes equations,…

Soft Condensed Matter · Physics 2015-05-30 Agnieszka M. Slowicka , Maria L. Ekiel-Jezewska , Krzysztof Sadlej , Eligiusz Wajnryb

Experiments and theory have shown that cell monolayers and epithelial tissues exhibit solid-liquid and glass-liquid transitions. These transitions are biologically relevant to our understanding of embryonic development, wound healing, and…

Soft Condensed Matter · Physics 2020-07-22 Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti

This paper investigates solitary water waves propagating along the surface of a two-dimensional dielectric fluid with constant vorticity in the presence of an external electric field. We formulate the system as a nonlinear free boundary…

Analysis of PDEs · Mathematics 2026-04-28 Tingting Feng , Yong Zhang , Zhitao Zhang

The motility of eukaryotic cells is strongly influenced by their environment, with confined cells often developing qualitatively different motility patterns from those migrating on simple two-dimensional substrates. Recent experiments,…

Cell Behavior · Quantitative Biology 2024-12-24 Pedrom Zadeh , Brian A. Camley

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

Vesicles self-assembled from amphiphilic diblock copolymers exhibit a wide diversity of behavior upon electroporation, due to competitions between edge, surface and bending energies that drive the system, while different viscous dissipation…

Soft Condensed Matter · Physics 2009-11-07 Harry Bermudez , Helim Aranda-Espinoza , Daniel A. Hammer , Dennis E. Discher , .

The formation of iterated structures, such as satellite and sub-satellite drops, filaments and bubbles, is a common feature in interfacial hydrodynamics. Here we undertake a computational and theoretical study of their origin in the case of…

Fluid Dynamics · Physics 2018-01-24 Michael C. Dallaston , Marco A. Fontelos , Dmitri Tseluiko , Serafim Kalliadasis