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Using field theoretic approach, we study equilibrium shape deformation of a vesicle induced by the presence of enclosed flexible polymers, which is a simple model of drug delivery system or endocytosis. To evaluate the total free energy of…

Soft Condensed Matter · Physics 2015-05-20 Yutaka Oya , Katsuhiko Sato , Toshihiro Kawakatsu

We systematize and extend the description of vesicle growth and shape change using linear nonequilibrium thermodynamics. By restricting the study to shape changes from spheres to axisymmetric ellipsoids, we are able to give a consistent…

Soft Condensed Matter · Physics 2015-05-20 Richard G. Morris , Duccio Fanelli , Alan J. McKane

This paper presents a phase-field model for simulating the three-dimensional deformation of vesicle membranes, incorporating area-difference elasticity, with constraints on bulk volume and surface area. We develop efficient numerical…

Numerical Analysis · Mathematics 2025-11-19 Yihong Liang , Emine Celiker , Ping Lin

A theoretical exploration and an analytical model for the electro-magneto-hydrodynamics (EMHD) of leaky dielectric liquid droplets, suspended in an immiscible confined fluid domain has been presented. The analytical solution for the system,…

Fluid Dynamics · Physics 2023-05-03 Pulak Gupta , Purbarun Dhar , Devranjan Samanta

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

A three-dimensional numerical model of vesicle electrohydrodynamics in the presence of DC electric fields is presented. The vesicle membrane is modeled as a thin capacitive interface through the use of a semi-implicit level set Jet scheme.…

Soft Condensed Matter · Physics 2015-06-24 Ebrahim M. Kolahdouz , David Salac

The present study deals with the dynamics of a double emulsion confined in a microchannel under the presence of a uniform electric field. Towards investigating the non-trivial electrohydrodynamics of a compound droplet, confined in between…

Fluid Dynamics · Physics 2018-08-14 Somnath Santra , Sayan Das , Suman Chakraborty

We study the deformation and breakup of an axisymmetric electrolyte drop which is freely suspended in an infinite dielectric medium and subjected to an imposed electric field. The electric potential in the drop phase is assumed small, so…

Fluid Dynamics · Physics 2019-05-15 Qiming Wang , Manman Ma , Michael Siegel

A transient analysis to quantify droplet deformation under DC electric fields is presented. The full Taylor-Melcher leaky dielectric model is employed where the charge relaxation time is considered to be finite. The droplet is assumed to be…

Fluid Dynamics · Physics 2015-06-11 Jia Zhang , Jeffery D. Zahn , Hao Lin

The dynamics of fluid vesicles is studied under flow in microchannels, in which the width varies periodically along the channel. Three types of flow instabilities of prolate vesicles are found. For small quasi-spherical vesicles -- compared…

Soft Condensed Matter · Physics 2010-02-15 Hiroshi Noguchi , Gerhard Gompper , Lothar Schmid , Achim Wixforth , Thomas Franke

We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation describing the evolution of phase field and a Cahn-Hilliard…

Numerical Analysis · Mathematics 2022-09-29 Xiaoxia Tang , Shuwang Li , John S. Lowengrub , Steven M. Wise

Vesicles or biological cells under simultaneous shear and electric field can be encountered in dielectrophoretic devices or devices used for continuous flow electrofusion or electroporation. In this work, the dynamics of a vesicle subjected…

Soft Condensed Matter · Physics 2018-03-21 Kumari Priti Sinha , Rochish M Thaokar

The deformation of a viscous liquid droplet suspended in another liquid and subject to an applied electric field is a classic multiphase flow problem best described by the Melcher-Taylor leaky dielectric model. The main assumption of the…

Fluid Dynamics · Physics 2016-12-21 Debasish Das , David Saintillan

The shape deformation of a three-dimensional axisymmetric vesicle with encapsulated filaments or impurities is analyzed by integrating a dissipation dynamics. This method can incorporate systematically the constraint of a fixed surface area…

Soft Condensed Matter · Physics 2009-11-07 Akiyoshi shibuya , Yukio Saito , Hiroyuki Hyuga

A weakly conducting liquid droplet immersed in another leaky dielectric liquid can exhibit rich dynamical behaviors under the effect of an applied electric field. Depending on material properties and field strength, the nonlinear coupling…

Fluid Dynamics · Physics 2023-06-28 Mohammadhossein Firouznia , Spencer H. Bryngelson , David Saintillan

We investigate the hydrodynamic stability and the formation of patterns in a continuum model of epithelial layers, able to account for the interplay between mechanical activity, lateral adhesion and the $6-$fold orientational order…

Soft Condensed Matter · Physics 2025-02-19 Josep-Maria Armengol-Collado , Leonardo Puggioni , Livio N. Carenza , Luca Giomi

A classic result due to G.I.Taylor is that a drop placed in a uniform electric field becomes a prolate or oblate spheroid, which is axisymmetrically aligned with the applied field. We report an instability and symmetry-breaking transition…

Fluid Dynamics · Physics 2013-10-30 Paul F. Salipante , Petia M. Vlahovska

We examine the deformation of homogeneous spherical fluid vesicles along their equator by a circular rigid ring. We consider deformations preserving the axial and equatorial mirror symmetries of the vesicles. The configurations of the…

Soft Condensed Matter · Physics 2025-03-27 Pablo Vázquez-Montejo , Bojan Božič , Jemal Guven

We describe the growth of vesicles, due to the accretion of lipid molecules to their surface, in terms of linear irreversible thermodynamics. Our treatment differs from those previously put forward by consistently including the energy of…

Statistical Mechanics · Physics 2009-11-13 Duccio Fanelli , Alan J. McKane

In biology, cells undergo deformations under the action of flow caused by the fluid surrounding them. These flows lead to shape changes and instabilities that have been explored in detail for single component vesicles. However, cell…

Fluid Dynamics · Physics 2025-10-15 Anirudh Venkatesh , Vivek Narsimhan