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The use of tank-treading as a means of propulsion for microswimmers in viscous shear flows is taken into exam. We discuss the possibility that a vesicle be able to control the drift in an external shear flow, by varying locally the bending…

Soft Condensed Matter · Physics 2017-05-24 Piero Olla

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

Many vesicles have a spherical resting shape and exposure to fluid flows induces an exchange between sub-optical area and visible (systematic) deformation, while the total area is conserved. The dynamics which controls the exchange between…

Soft Condensed Matter · Physics 2020-06-19 Afsoun Rahnama Falavarjani , David Salac

The main motivation of this work is the quantitative prediction and description of particle manipulation (displacement across streamlines) in microfluidic flow. Much attention has been paid recently to placing particles in fast oscillatory…

Fluid Dynamics · Physics 2026-03-24 Xuchen Liu

Liquid-liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlling the detailed morphology of phase-separating compound…

Soft Condensed Matter · Physics 2023-10-27 Eric W. Hester , Sean P. Carney , Vishwesh Shah , Alyssa Arnheim , Bena Patel , Dino Di Carlo , Andrea L. Bertozzi

Lipid membranes regulate the flow of materials and information between cells and their organelles. Further, lipid composition and morphology can play a key role in regulating a variety of biological processes. For example, viral uptake,…

Biomolecules · Quantitative Biology 2009-05-12 Tristan Ursell , Rob Phillips

The dynamics of a nucleate cell in shear flow is of great relevance in cancer cells and circulatory tumor cells where they dominate the dynamics of blood. Buoyed by the success of Giant Unilamellar vesicles in explaining the dynamics of…

Soft Condensed Matter · Physics 2018-12-04 Kumari Priti Sinha , Rochish M Thaokar

We report a numerical study addressing the dynamics of compound vesicles confined in a channel under shear flow. The system comprises a smaller vesicle embedded within a larger one and can be used to mimic, for example, leukocytes or…

Soft Condensed Matter · Physics 2025-12-11 A. Lamura

We develop a perturbation theory to study the shape and the orientation of an initially spherical capsule of radius R with a viscosity contrast, a surface tension {\sigma} and a bending rigidity $\kappa$ in linear flows. The elastic…

Soft Condensed Matter · Physics 2026-02-18 Paul Regazzi , Marc Leonetti

The Stokes equation describes the motion of fluids when inertial forces are negligible compared to viscous forces. In this article, we explore the consequence of parity-violating and non-dissipative (i.e. odd) viscosities on Stokes flows in…

Fluid Dynamics · Physics 2022-02-01 Tali Khain , Colin Scheibner , Michel Fruchart , Vincenzo Vitelli

Complex analytical structure of Stokes wave for two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth is analyzed. Stokes wave is the fully nonlinear periodic gravity wave propagating with the…

Fluid Dynamics · Physics 2022-06-03 S. A. Dyachenko , P. M. Lushnikov , A. O. Korotkevich

Using a microfluidic trap, we study the behavior of individual phospholipid vesicles in contact with fatty acids. We show that spontaneous fatty acids insertion inside the bilayer is controlled by the vesicle size, osmotic pressure…

Subcellular Processes · Quantitative Biology 2016-12-14 Julien Dervaux , Vincent Noireaux , Albert Libchaber

We use numerical simulations and linear stability analysis to study the dynamics of an active liquid crystal film on a substrate in the regime where the passive system would be isotropic. Extensile activity builds up local orientational…

Soft Condensed Matter · Physics 2023-09-26 Fernando Caballero , Zhihong You , M. Cristina Marchetti

We use numerical simulations to study the dynamics of three dimensional vesicles in unconfined and confined Poiseuille flow. Previous numerical studies have shown that when the fluid viscosity inside and outside the vesicle is same (no…

Soft Condensed Matter · Physics 2020-05-01 Dhwanit Agarwal , George Biros

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

We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assumed to be two-dimensional with the fluids filling the entire…

Analysis of PDEs · Mathematics 2024-04-26 Bogdan-Vasile Matioc , Georg Prokert

This paper presents a computational approach for finding the optimal shapes of peristaltic pumps transporting rigid particles in Stokes flow. In particular, we consider shapes that minimize the rate of energy dissipation while pumping a…

Optimization and Control · Mathematics 2021-10-05 Marc Bonnet , Ruowen Liu , Shravan Veerapaneni , Hai Zhu

We consider a Stokes flow coupled with advective-diffusive transport in an evolving domain with boundary conditions allowing for inflow and outflow. The evolution of the domain is induced by the transport process, leading to a fully coupled…

Analysis of PDEs · Mathematics 2026-02-10 Kilian Hacker , Maria Neuss-Radu

The capillary flow of a Newtonian and incompressible fluid in an axially symmetric horizontal tube with a non-slowly-varying cross section and a boundary slip is considered theoretically under the assumption that the Reynolds number is…

Fluid Dynamics · Physics 2024-05-07 Masao Iwamatsu

Engineering synthetic materials that mimic the remarkable complexity of living organisms is a fundamental challenge in science and technology. We study the spatiotemporal patterns that emerge when an active nematicfilm of microtubules and…