Effects of membrane reference state on shape memory of a red blood cell

References

• Abkarian M, Faivre M, Viallat A. 2007. Swinging of red blood cells under shear flow. Phys Rev Lett. 98(18):188302
   PubMed Web of Science ®Google Scholar
• Boedec G, Leonetti M, Jaeger M. 2011. 3D vesicle dynamics simulations with a linearly triangulated surface. Comput Phys. 230(4):1020–1034.
   Google Scholar
• Braunmuller S, Schmid L, Sackmann E, Franke T. 2012. Hydrodynamic deformation reveals two coupled modes/time scales of red blood cell relaxation. Soft Matter. 8(44):11240.
   Web of Science ®Google Scholar
• Charrier JM, Shrivastava S, Wu R. 1989. Free and constrained inflation of elastic membranes in relation to thermoforming - non-axisymmetirc problems. J Strain Anal. 24(2):55–74.
   Web of Science ®Google Scholar
• Cordasco D, Bagchi P. 2017. On the shape memory of red blood cells. Phys Fluids. 29(4):041901.
   Web of Science ®Google Scholar
• Cordasco D, Yazdani A, Bagchi P. 2014. Comparison of erythrocyte dynamics in shear flow under different stress-free configurations. Phys Fluids. 26(4):041902.
   Web of Science ®Google Scholar
• Dodson RWR, Dimitrakopoulos P. 2010. Tank-treading of erythrocytes in strong shear flows via a nonstiff cytoskeleton-based continuum computational modeling. Biophys J. 99(9):2906–2916.
   PubMed Web of Science ®Google Scholar
• Dupire J, Socol M, Viallat A. 2012. Full dynamics of a red blood cell in shear flow. Proc Natl Acad Sci USA. 109(51):20808–20813.
   PubMed Web of Science ®Google Scholar
• Evans E, Fung YC. 1972. Improved measurements of the erythrocyte geometry. Microvasc Res. 4(4):335–347.
   PubMed Web of Science ®Google Scholar
• Evans J, Gratzer W, Mohandas N, Parker K, Sleep J. 2008. Fluctuations of the red blood cell membrane: relation to mechanical properties and lack of ATP dependence. Biophys J. 94(10):4134–4144.
   PubMed Web of Science ®Google Scholar
• Fedosov DA, Caswell B, Karniadakis GE. 2010. A multiscale red blood cell model with accurate mechanics, rheology, and dynamics. Biophys J. 98(10):2215–2225.
   PubMed Web of Science ®Google Scholar
• Fischer TM. 2004. Shape memory of human red blood cells. Biophys J. 86(5):3304–3313.
   PubMed Web of Science ®Google Scholar
• Fischer TM. 2007. Tank-tread frequency of the red cell membrane: dependence on the viscosity of the suspending medium. Biophys J. 93(7):2553–2561.
   PubMed Web of Science ®Google Scholar
• Fischer TM, Korzeniewski R. 2013. Threshold shear stress for the transition between tumbling and tank-treading of red blood cells in shear flow: dependence on the viscosity of the suspending medium. J Fluid Mech. 736:351–365.
   Web of Science ®Google Scholar
• Fischer TM, Stohr-Lissen M, Schmid-Schonbein H. 1978. The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. Science. 202(4370):894–896.
   PubMed Web of Science ®Google Scholar
• Gou Z, Huang F, Ruan X, Fu X. 2018. Shape memory of elastic capsules under the effect of spontaneous shape. Commun Comput Phys. 24(1):234–252.
   Web of Science ®Google Scholar
• Gounley J, Peng Y. 2014. Shape recovery of elastic capsules from shear flow induced deformation. Commun Comput Phys. 16(01):56–74.
   Google Scholar
• Helfrich W. 1973. Elastic properties of lipid bilayers: theory and possible experiments. Z Naturforsch C. 28(11):693–703.
   PubMedGoogle Scholar
• Keller SR, Skalak R. 1982. Motion of a tank-treading ellipsoidal particle in a shear flow. J Fluid Mech. 120(1):27–47.
   Google Scholar
• Lanotte L, Mauer J, Mendez S, Fedosov DA, Fromental JM, Claveria V, Nicoud F, Gompper G, Abkarian M. 2016. Red cells’ dynamic morphologies govern blood shear thinning under microcirculatory flow conditions. Proc Natl Acad Sci USA. 113(47):13289–13294.
   PubMed Web of Science ®Google Scholar
• Lim HWG, Wortis M, Mukhopadhyay R. 2002. Stomatocyte-discocyte-echinocyte sequence of the human red blood cell: evidence for the bilayer-couple hypothesis from membrane mechanics. Proc Natl Acad Sci USA. 99(26):16766–16769.
   PubMed Web of Science ®Google Scholar
• Mills JP, Qie L, Dao M, Lim CT, Suresh S. 2004. Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. Mech Chem Biosyst. 1(3):169–180.
   PubMedGoogle Scholar
• Niu X, Shi L, Pan TW, Glowinski R. 2015. Numerical simulation of the motion of inextensible capsules in shear flow under the effect of the natural state. Commun Comput Phys. 18(03):787–807.
   Google Scholar
• Peng Z, Asaro RJ, Zhu Q. 2010. Multiscale simulation of erythrocyte membranes. Phys Rev E: Stat Nonlin Soft Matter Phys. 81(3 Pt 1):031904
   PubMed Web of Science ®Google Scholar
• Peng Z, Mashayekh A, Zhu Q. 2014. Erythrocyte responses in low-shear-rate flows: effects of non-biconcave stress-free state in the cytoskeleton. J Fluid Mech. 742:96–118.
   Web of Science ®Google Scholar
• Peng Z, Salehyar S, Zhu Q. 2015. Stability of the tank treading modes of erythrocytes and its dependence on cytoskeleton reference states. J Fluid Mech. 771:449–467.
   Web of Science ®Google Scholar
• Peng ZL, Zhu Q. 2013. Deformation of the erythrocyte cytoskeleton in tank treading motions. Soft Matter. 9(31):7617–7627.
   Web of Science ®Google Scholar
• Petitjean S. 2002. A survey of methods for recovering quadrics in triangle meshes. ACM Comput Surv. 34(2):211–262.
   Web of Science ®Google Scholar
• Siguenza J, Mendez S, Nicoud F. 2017. How should the optical tweezers experiment be used to characterize the red blood cell membrane mechanics? Biomech Model Mechanobiol. 16(5):1645–1657.
   PubMed Web of Science ®Google Scholar
• Sinha K, Graham MD. 2015. Dynamics of a single red blood cell in simple shear flow. Phys Rev E: Stat Nonlin Soft Matter Phys. 92(4):042710
   PubMed Web of Science ®Google Scholar
• Skalak R, Tozeren A, Zarda RP, Chien S. 1973. Strain energy function of red blood cell membranes. Biophys J. 13(3):245–264.
   PubMed Web of Science ®Google Scholar
• Skotheim JM, Secomb TW. 2007. Red blood cells and other nonspherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition. Phys Rev Lett. 98(7):078301
   PubMed Web of Science ®Google Scholar
• Sui Y, Chen XB, Chew YT, Roy P, Low HT. 2010. Numerical simulation of capsule deformation in simple shear flow. Comput Fluids. 39(2):242–250.
   Web of Science ®Google Scholar
• Tsubota K, Wada S, Liu H. 2014. Elastic behavior of a red blood cell with the membrane's nonuniform natural state: equilibrium shape, motion transition under shear flow, and elongation during tank-treading motion. Biomech Model Mechanobiol. 13(4):735–746.
   PubMed Web of Science ®Google Scholar
• Yazdani AZ, Bagchi P. 2011. Phase diagram and breathing dynamics of a single red blood cell and a biconcave capsule in dilute shear flow. Phys Rev E: Stat Nonlin Soft Matter Phys. 84(2 Pt 2):026314
   PubMed Web of Science ®Google Scholar
• Zhong-Can OY, Helfrich W. 1989. 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. 39(10):5280–5288.
   Web of Science ®Google Scholar