Issue
Math. Model. Nat. Phenom.
Volume 16, 2021
Fluid-structure interaction
Article Number 23
Number of page(s) 28
DOI https://doi.org/10.1051/mmnp/2021014
Published online 21 April 2021
  1. M. Abkarian, M. Faivre and A. Viallat, Swinging of red blood cells under shear flow. Phys. Rev. Lett. 98 (2007) 188302. [PubMed] [Google Scholar]
  2. M. Abkarian and A. Viallat, fluid–structure Interactions in Low-Reynolds-Number Flows. On the importance of red blood cells deformability in blood flow. Royal Society of Chemistry (2016) 347–462. [Google Scholar]
  3. S.K. Ballas and N. Mohandas, Sickle red cell microrheology and sickle blood rheology. Microcirculation 11 (2004) 209–225. [PubMed] [Google Scholar]
  4. M. Bitbol, Red blood cell orientation in orbit C=0. Biophys. J. 49 (1986) 1055–1068. [PubMed] [Google Scholar]
  5. F.P. Bretherton, The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech. 14 (1962) 284–304. [Google Scholar]
  6. S. Chien, Shear dependence of effective cell volume as a determinant of blood viscosity. Science 168 (1970) 977–979. [PubMed] [Google Scholar]
  7. D. Cordasco and P. Bagchi, Orbital drift of capsules and red blood cells in shear flow. Phys. Fluids 25 (2013) 091902. [Google Scholar]
  8. D. Cordasco, Yazdani and P. Bagchi, Comparison of erythrocyte dynamics in shear flow under different stress-free configurations. Phys. Fluids 26 (2014) 041902. [Google Scholar]
  9. W.R. Dodson III and P. Dimitrakopoulos, Tank-treading of erythrocytes in strong shear flows via a nonstiff cytoskeleton-based continuum computational modeling. Biophys. J. 99 (2010) 2906–2916. [PubMed] [Google Scholar]
  10. J. Dupire, M. Socol and A. Viallat, Full dynamics of a red blood cell in shear flow. Proc. Natl. Acad. Sci. USA 109 (2012) 20808–20813. [Google Scholar]
  11. J. Dupire, M. Abkarian and A. Viallat, 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 11 (2015) 8372–8382. [PubMed] [Google Scholar]
  12. C.D. Eggleton and A.S. Popel, Large deformation of red blood cell ghosts in a simple shear flow. Phys. Fluids 10 (1998) 1834–1845. [Google Scholar]
  13. D. Eisenbud, Commutative algebra with a view toward algebraic geometry. In Vol. 150 of Graduate Texts in Mathematics. Springer-Verlag, Berlin and New York (1995). [Google Scholar]
  14. T.M. Fischer, On the energy dissipation in a tank-treading human red blood cell. Biophys. J. 32 (1980) 863–868. [PubMed] [Google Scholar]
  15. T.M. Fischer, Shape memory of human red blood cells. Biophys. J. 86 (2004) 3304–3313. [PubMed] [Google Scholar]
  16. T.M. Fischer, M. Stöhr-Liesen and H. Schmid-Schönbein, The red cell as a fluid droplet: Tank tread-like motion of the human erythrocyte membrane in shear flow. Science 202 (1978) 894–896. [PubMed] [Google Scholar]
  17. Y.C. Fung, Biomechanics – Mechanical properties of living tissues. Springer-Verlag, 2nd edition (1993). [Google Scholar]
  18. H.L. Goldsmith and J. Marlow, Flow behaviour of erythrocytes. I. Rotation and deformation in dilute suspensions. Proc. Royal Soc. London B 182 (1972) 351–384. [Google Scholar]
  19. G.B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid. Proc. Royal Soc. London A 102 (1922) 161–179. [Google Scholar]
  20. S.R. Keller and R. Skalak, Motion of a tank-treading ellipsoidal particle in a shear flow. J. Fluid Mech. 120 (1982) 27–47. [Google Scholar]
  21. L. Lanotte, J. Mauer, S. Mendez, D.A. Fedosov, J.-M. Fromental, V. Claveria, F. Nicoud, G. Gompper and M. Abkarian, Red cells’ dynamic morphologies govern blood shear thinning under microcirculatory flow conditions. Proc. Natl. Acad. Sci. USA 113 (2016) 13289–13294. [Google Scholar]
  22. J. Mauer, S. Mendez, L. Lanotte, F. Nicoud, M. Abkarian, G. Gompper and D.A. Fedosov, Flow-induced transitions of red blood cell shapes under shear. Phys. Rev. Lett. 121 (2018) 118103. [CrossRef] [PubMed] [Google Scholar]
  23. S. Mendez and M. Abkarian, In-plane elasticity controls the full dynamics of red blood cells in shear flow. Phys. Rev. Fluids 3 (2018) 101101(R). [Google Scholar]
  24. S. Mendez and M. Abkarian, Dynamics of Blood Cell Suspensions in Microflows, Single Red Blood Cell Dynamics in Shear Flow andtheir Role in Hemorheology. CRC Press (2019). [Google Scholar]
  25. S. Mendez, E. Gibaud and F. Nicoud, An unstructured solver for simulations of deformable particles in flows at arbitrary Reynoldsnumbers. J. Comput. Phys. 256 (2014) 465–483. [Google Scholar]
  26. C. Minetti, V. Audemar, T. Podgorski and G. Coupier, Dynamics of a large population of red blood cells under shear flow. J. Fluid Mech. 864 (2019) 408–448. [Google Scholar]
  27. N. Mohandas and P.G. Gallagher, Red cell membrane: past, present, and future. Blood 112 (2008) 3939–3948. [PubMed] [Google Scholar]
  28. Z. Peng, R.J. Asaro and Q. Zhu, Multiscale modelling of erythrocytes in Stokes flow. J. Fluid Mech. 686 (2011) 299–337. [Google Scholar]
  29. Z. Peng, A. Mashayekh and Q. Zhu, Erythrocyte responses in low-shear-rate flows: effects of non-biconcave stress-free state in the cytoskeleton. J. Fluid Mech. 742 (2014) 96–118. [Google Scholar]
  30. Z. Peng, S. Salehyar and Q. Zhu, Stability of the tank treading modes of erythrocytes and its dependence on cytoskeleton reference states. J. Fluid Mech. 771 (2015) 449–467. [Google Scholar]
  31. I.V. Pivkin, Z. Peng, G.E. Karniadakis, P. Buffet, M. Dao and S. Suresh, Biomechanics of red blood cells in human spleen and consequences for physiology and disease. Proc. Natl. Acad. Sci. USA 113 (2016) 7804–7809. [Google Scholar]
  32. A.S. Popel and P.C. Johnson, Microcirculation and hemorheology. Annu. Rev. Fluid Mech. 37 (2005) 43–69. [PubMed] [Google Scholar]
  33. H. Schmid-Schönbein and R. Wells, Fluid drop-like transition of erythrocytes under shear. Science 165 (1969) 288–291. [PubMed] [Google Scholar]
  34. T.W. Secomb and R. Skalak, Surface flow of viscoelastic membranes in viscous fluids. Quart. J. Mech. Appl. Math. 35 (1982) 233–247. [Google Scholar]
  35. J. Sigüenza, S. Mendez and F. Nicoud, How should the optical tweezers experiment be used to characterize the red blood cell membrane mechanics? Biomech. Model. Mechanobiol. 16 (2017) 1645–1657. [PubMed] [Google Scholar]
  36. K. Sinha and M.D. Graham, Dynamics of a single red blood cell in simple shear flow. Phys. Rev. E 92 (2015) 042710. [Google Scholar]
  37. J.M. Skotheim and T.W. Secomb, Red blood cells and other nonspherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition. Phys. Rev. Lett. 98 (2007) 078301. [PubMed] [Google Scholar]
  38. Y. Sui, Y.T. Chew, P. Roy, Y.P. Cheng and H.T. Low, Dynamic motion of red blood cells in simple shear flow. Phys. Fluids 20 (2008) 112106. [Google Scholar]
  39. N. Takeishi, M.E. Rosti, Y. Imai, S. Wada and Brand, Haemorheology in dilute, semi-dilute and dense suspensions of red blood cells. J. Fluid Mech. 872 (2019) 818–848. [Google Scholar]
  40. R. Tran-Son-Tay, S.P. Sutera and P.R. Rao, Determination of red blood cell membrane viscosity from rheoscopic observations of tank-treading motion. Biophys. J. 46 (1984) 65–72. [PubMed] [Google Scholar]
  41. K.-I. Tsubota, S. Wada and H. Liu, 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 (2014) 735–746. [PubMed] [Google Scholar]
  42. P.M. Vlahovska, Y.-N. Young, G. Danker and C. Misbah, Dynamics of a non-spherical microcapsule with incompressible interface in shear flow. J. Fluid Mech. 678 (2011) 221–247. [Google Scholar]
  43. J. von zur Gathen and J. Gerhard, Modern Computer Algebra. Cambridge University Press, New York, NY, USA, 3rd edition (2013). [Google Scholar]
  44. W. Yao, Z. Wen, Z. Yan, D. Sun, W. Ka, L. Xie and S. Chien, Low viscosity Ektacytometry and its validation tested by flow chamber. J. Biomech. 34 (2001) 1501–1509. [PubMed] [Google Scholar]
  45. A.Z.K. Yazdani, R.M. Kalluri and P. Bagchi, Tank-treading and tumbling frequencies of capsules and red blood cells. Phys. Rev. E 83 (2011) 046305. [Google Scholar]

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