Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation, On the importance of the deformability of red blood cells in blood flow, vol.460, pp.211-222, 2002. ,
Free and constrained inflation of elastic membranes in relation to thermoforming nonaxisymmetric problems, J Strain Anal Eng Des, vol.24, issue.2, pp.55-74, 1989. ,
DOI : 10.1243/03093247v242055
Investigation of membrane mechanics using spring networks: application to red-blood-cell modelling, Mater Sci Eng C, vol.43, pp.506-516, 2014. ,
DOI : 10.1016/j.msec.2014.07.043
URL : https://arrow.dit.ie/cgi/viewcontent.cgi?article=1042&context=engschmecart
Image-based large-eddy simulation in a realistic left heart, Comput Fluids, vol.94, pp.173-187, 2014. ,
DOI : 10.1016/j.compfluid.2014.01.030
URL : https://hal.archives-ouvertes.fr/hal-00943609
Numerical solution of the Navier-Stokes equations, Math Comput, vol.22, pp.745-762, 1968. ,
Comparison of erythrocyte dynamics in shear flow under different stress-free configurations, Phys Fluids, vol.26, p.41902, 2014. ,
Mechanics of the human red blood cell deformed by optical tweezers, J Mech Phys Solids, vol.51, pp.2259-2280, 2003. ,
Molecularly based analysis of deformation of spectrin network and human erythrocyte, Mater Sci Eng C, vol.26, pp.1232-1244, 2006. ,
Analysis of the variation in the determination of the shear modulus of the erythrocyte membrane: effects of the constitutive law and membrane modeling, Phys Rev E, vol.85, p.41917, 2012. ,
Molecular maps of red cell deformation: hidden elastic and in situ connectivity, Science, vol.266, pp.1032-1035, 1994. ,
Lateral migration of a capsule in a plane Poiseuille flow in a channel, Int J Multiph Flow, vol.34, pp.966-986, 2008. ,
A simple model to understand the effect of membrane shear elasticity and stress-free shape on the motion of red blood cells in shear flow, Soft Matter, vol.11, pp.8372-8382, 2015. ,
Large deformation of red blood cell ghosts in a simple shear flow, Phys Fluids, vol.10, issue.8, pp.1834-1845, 1998. ,
New membrane concept applied to the analysis of fluid shear-and micropipette-deformed red blood cells, Biophys J, vol.13, pp.941-954, 1973. ,
Improved measurements of the erythrocyte geometry, Microvasc Res, vol.4, pp.335-347, 1972. ,
DOI : 10.1016/0026-2862(72)90069-6
3D numerical simulations of vesicle and inextensible capsule dynamics, J Comput Phys, vol.275, pp.539-568, 2014. ,
DOI : 10.1016/j.jcp.2014.07.008
URL : https://hal.archives-ouvertes.fr/hal-00841996
Systematic coarsegraining of spectrin-level red blood cell models, Comput Methods Appl Mech Eng, vol.199, pp.1937-1948, 2010. ,
DOI : 10.1016/j.cma.2010.02.001
URL : http://europepmc.org/articles/pmc3864857?pdf=render
A multiscale red blood cell model with accurate mechanics, rheology, and dynamics, Biophys J, vol.98, pp.2215-2225, 2010. ,
DOI : 10.1016/j.bpj.2010.02.002
URL : https://doi.org/10.1016/j.bpj.2010.02.002
Multiscale modeling of blood flow: from single cells to blood rheology, Biomech Model Mechanobiol, vol.13, pp.239-258, 2014. ,
DOI : 10.1007/s10237-013-0497-9
Elastic properties of lipid bilayers: theory and possible experiments, Z Naturforsch, vol.28, pp.693-703, 1973. ,
DOI : 10.1515/znc-1973-11-1209
URL : http://www.degruyter.com/downloadpdf/j/znc.1973.28.issue-11-12/znc-1973-11-1209/znc-1973-11-1209.xml
A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers, Biophys J, vol.76, pp.1145-1151, 1999. ,
Minimum-energy vesicle and cell shapes calculated using spherical harmonics parameterization, Soft Matter, vol.7, pp.2138-2143, 2011. ,
DOI : 10.1039/c0sm01193b
URL : http://pubs.rsc.org/en/content/articlepdf/2011/sm/c0sm01193b
A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes, Biomech Model Mechanobiol, vol.10, pp.445-459, 2011. ,
An implicit immersed boundary method for three-dimensional fluidmembrane interactions, J Comput Phys, vol.228, pp.8427-8445, 2009. ,
Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte, Biophys J, vol.88, pp.3707-3719, 2005. ,
Stomatocyte-discocyteechinocyte sequence of the human red blood cell: evidence for the bilayer-couple hypothesis from membrane mechanics, Proc Natl Acad Sci, vol.99, issue.26, p.769, 2002. ,
Red blood cell shapes and shape transformations: Newtonian mechanics of a composite membrane, soft matter, issue.2, 2008. ,
Optimization of the deflated conjugate gradient algorithm for the solving of elliptic equations on massively parallel machines, J Comput Phys, vol.238, pp.32-47, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01657525
On the damped oscillations of an elastic quasi-circular membrane in a two-dimensional incompressible fluid, J Fluid Mech, vol.746, pp.300-331, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00957710
An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers, J Comput Phys, vol.256, issue.1, pp.465-483, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00871557
Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers, Mech Chem Biosyst, vol.1, issue.3, pp.169-180, 2004. ,
Red cell membrane: past, present, and future, Blood, vol.112, issue.10, pp.3939-3948, 2008. ,
Design of a massively parallel CFD code for complex geometries, Comp Rend Méc, vol.339, issue.2-3, pp.141-148, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01672172
Erythrocyte responses in lowshear-rate flows: effects of non-biconcave stress-free state in the cytoskeleton, J Fluid Mech, vol.742, pp.96-118, 2014. ,
Stability of the tank treading modes of erythrocytes and its dependence on cytoskeleton reference states, J Fluid Mech, vol.771, pp.449-467, 2015. ,
The immersed boundary method, Acta Number, vol.11, pp.479-517, 2002. ,
Immersed-boundary methods for general finite-difference and finite-volume NavierStokes solvers, J Comput Phys, vol.229, pp.9073-9091, 2010. ,
DOI : 10.1016/j.jcp.2010.08.021
URL : https://hal.archives-ouvertes.fr/hal-00951516
Accurate coarse-grained modeling of red blood cells, Phys Rev Lett, vol.101, p.118105, 2008. ,
DOI : 10.1103/physrevlett.101.118105
Characterisation of a dedicated mechanical model for red blood cells: numerical simulations of optical tweezers experiment, Comput Methods Biomech Biomed Eng, vol.17, pp.28-29, 2014. ,
Validation of an immersed thick boundary method for simulating fluid-structure interactions of deformable membranes, J Comput Phys, vol.322, pp.723-746, 2016. ,
Dynamics of a single red blood cell in simple shear flow, Phys Rev E, vol.92, p.42710, 2015. ,
Strain energy function of red blood cell membranes, Biophys J, vol.13, pp.245-264, 1973. ,
Dynamic motion of red blood cells in simple shear flow, Phys Fluids, vol.20, p.112106, 2008. ,
Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria, Acta Biomater, vol.1, pp.15-30, 2005. ,
Some forms of the strain energy function for rubber, Rubber Chem Technol, vol.66, issue.5, pp.754-771, 1993. ,
Bending energy of vesicle membranes: general expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders, Phys Rev A, vol.39, issue.10, pp.5280-5288, 1989. ,
About the numerical robustness of biomedical benchmark cases: interlaboratory FDA's idealized medical device, Int J Numer Methods Biomed Eng, vol.33, issue.1, pp.1-17, 2017. ,