Theory and algorithms to compute Helfrich bending forces: a review

A Guckenberger, S Gekle - Journal of Physics: Condensed …, 2017 - iopscience.iop.org
Cell membranes are vital to shield a cell's interior from the environment. At the same time
they determine to a large extent the cell's mechanical resistance to external forces. In recent …

Dynamics of a single red blood cell in simple shear flow

K Sinha, MD Graham - Physical Review E, 2015 - APS
This work describes simulations of a red blood cell (RBC) in simple shear flow, focusing on
the dependence of the cell dynamics on the spontaneous curvature of the membrane. The …

On the bending algorithms for soft objects in flows

A Guckenberger, MP Schraml, PG Chen… - Computer Physics …, 2016 - Elsevier
One of the most challenging aspects in the accurate simulation of three-dimensional soft
objects such as vesicles or biological cells is the computation of membrane bending forces …

Marginated aberrant red blood cells induce pathologic vascular stress fluctuations in a computational model of hematologic disorders

X Cheng, C Caruso, WA Lam, MD Graham - Science advances, 2023 - science.org
Red blood cell (RBC) disorders such as sickle cell disease affect billions worldwide. While
much attention focuses on altered properties of aberrant RBCs and corresponding …

An immersed boundary-lattice Boltzmann flux solver for simulation of flows around structures with large deformation

H Zhang, Y Liu, Z Zhang, LP Wang, C Shu - Physics of Fluids, 2023 - pubs.aip.org
In this paper, we present an immersed boundary-lattice Boltzmann flux solver (IB-LBFS) to
simulate the interactions of viscous flow with deformable elastic structures, namely, two …

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media

A Saadat, CJ Guido, G Iaccarino, ESG Shaqfeh - Physical Review E, 2018 - APS
Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of
synthetic and biological complex fluids. We present a parallelized three-dimensional …

Dynamics of nonspherical compound capsules in simple shear flow

ZY Luo, BF Bai - Physics of Fluids, 2016 - pubs.aip.org
The dynamics of an initially ellipsoidal compound capsule in a simple shear flow is
investigated numerically using a three-dimensional front-tracking finite-difference model …

Reorientation of a nonspherical capsule in creeping shear flow

T Omori, Y Imai, T Yamaguchi, T Ishikawa - Physical review letters, 2012 - APS
The dynamics of a capsule and a biological cell is of great interest in chemical engineering
and bioengineering. Although the dynamics of a rigid spheroid is well understood by …

Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods

A Laadhari, P Saramito, C Misbah - Journal of Computational Physics, 2014 - Elsevier
The numerical simulation of the deformation of vesicle membranes under simple shear
external fluid flow is considered in this paper. A saddle-point approach is proposed for the …

Isogeometric FEM-BEM simulations of drop, capsule and vesicle dynamics in Stokes flow

G Boedec, M Leonetti, M Jaeger - Journal of Computational Physics, 2017 - Elsevier
We develop an algorithm for the three dimensional simulation of the dynamics of soft objects
(drops, capsules, vesicles) under creeping flow conditions. Loop elements are used to …