Phase-field Navier–Stokes model for vesicle doublets hydrodynamics in incompressible fluid flow

M Ashour, N Valizadeh, T Rabczuk - Computer Methods in Applied …, 2023 - Elsevier
In this paper, we study the hydrodynamics of a vesicle doublet suspended in an external
viscous fluid flow. Vesicles in this study are modeled using the phase-field model. The …

Derivation and simulation of a two-phase fluid deformable surface model

E Bachini, V Krause, I Nitschke, A Voigt - Journal of Fluid Mechanics, 2023 - cambridge.org
To explore the impact of surface viscosity on coexisting fluid domains in biomembranes we
consider two-phase fluid deformable surfaces as model systems for biomembranes. Such …

Diffuse interface models of locally inextensible vesicles in a viscous fluid

S Aland, S Egerer, J Lowengrub, A Voigt - Journal of computational physics, 2014 - Elsevier
We present a new diffuse interface model for the dynamics of inextensible vesicles in a
viscous fluid with inertial forces. A new feature of this work is the implementation of the local …

A mechanism for cell motility by active polar gels

W Marth, S Praetorius, A Voigt - Journal of The Royal …, 2015 - royalsocietypublishing.org
We analyse a generic motility model, with the motility mechanism arising by contractile
stress due to the interaction of myosin and actin. A hydrodynamic active polar gel theory is …

Margination of white blood cells: a computational approach by a hydrodynamic phase field model

W Marth, S Aland, A Voigt - Journal of Fluid Mechanics, 2016 - cambridge.org
We numerically investigate margination of white blood cells and demonstrate the
dependency on a number of conditions including haematocrit, the deformability of the cells …

Signaling networks and cell motility: a computational approach using a phase field description

W Marth, A Voigt - Journal of mathematical biology, 2014 - Springer
The processes of protrusion and retraction during cell movement are driven by the turnover
and reorganization of the actin cytoskeleton. Within a reaction–diffusion model which …

The interplay of geometry and coarsening in multicomponent lipid vesicles under the influence of hydrodynamics

E Bachini, V Krause, A Voigt - Physics of Fluids, 2023 - pubs.aip.org
We consider the impact of surface hydrodynamics on the interplay between membrane
curvature and lipid composition in coarsening processes on model systems for …

Numerical simulation of endocytosis: Viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules

J Lowengrub, J Allard, S Aland - Journal of computational physics, 2016 - Elsevier
The formation of membrane vesicles from a larger membrane that occurs during endocytosis
and other cell processes is typically orchestrated by curvature-inducing molecules attached …

Collective migration under hydrodynamic interactions: a computational approach

W Marth, A Voigt - Interface Focus, 2016 - royalsocietypublishing.org
We consider a generic model for cell motility. Even if a comprehensive understanding of cell
motility remains elusive, progress has been achieved in its modelling using a whole-cell …

Osmosis through a semi-permeable membrane: a consistent approach to interactions

S Xu, B Eisenberg, Z Song, H Huang - arxiv preprint arxiv:1806.00646, 2018 - arxiv.org
The movement of ionic solutions is an essential part of biology and technology. Fluidics,
from nano-to micro-to microfluidics, is a burgeoning area of technology which is all about the …