1. Lázaro, G.R.; Hernández-Machadoa, A.; Pagonabarraga, I. Rheology of red blood cells under flow in highly confined microchan- nels. I. Effect of elasticity. Soft Matter 2014, 10, 7195–7206. [CrossRef]
2. Lázaro, G.R.; Hernández-Machadoa, A.; Pagonabarraga, I. Rheology of red blood cells under flow in highly confined microchan- nels. II. Effect of focusing and confinement. Soft Matter 2014, 10, 7207–7217. [CrossRef] [PubMed]
3. Takeishi, N.; Rosti, M.E.; Imai, Y.; Wada, S.; Brandt, L. Haemorheology in dilute, semi-dilute and dense suspensions of red blood cells. J. Fluid Mech. 2019, 872, 818–848. [CrossRef]
4. Skalak, R.; Branemark, P.I. Deformation of red blood cells in capillaries. Science 1969, 164, 717–719. [CrossRef] [PubMed]
5. Guckenberger, A.; Kihm, A.; John, T.; Wagner, C.; Gekle, S. Numerical-experimental observation of shape bistability of red blood cells flowing in a microchannel. Soft Matter 2018, 14, 2032–2043. [CrossRef] [PubMed]
6. Yaya, F.; Römer, J.; Guckenberger, A.; John, T.; Gekle, S.; Podgorski, T.; Wagner, C. Vortical flow structures induced by red blood cells in capillaries. Microcirculation 2021, 28, e12693. [CrossRef]
7. Takeishi, N.; Ito, H.; Kaneko, M.; Wada, S. Deformation of a red blood cell in a narrow rectangular microchannel. Micromachines 2019, 10, 199. [CrossRef] [PubMed]
8. Karnis, A.; Goldsmith, H.L.; Mason, S.G. Axial migration of particles in Poiseuille flow. Nature 1963, 14, 284–304. [CrossRef]
9. Shi, L.; Pan, T.-W.; Glowinski, R. Lateral migration and equilibrium shape and position of a single red blood cell in bounded Poiseuille flows. Phys. Rev. E 2012, 86, 056306. [CrossRef]
10. Kaoui, B.; Biros, G.; Misbah, C. Why do red blood cells have asymmetric shapes even in a symmetric flow? Phys. Rev. Lett. 2009, 103, 188101. [CrossRef]
11. Hogan, B.; Shen, Z.; Zhang, H.; Misbah, C.; Barakat, A.I. Shear stress in the microvasculature: Influence of red blood cell morphology and endothelial wall undulation. Biomech. Model. Mechanobiol. 2019, 18, 1095–1109. [CrossRef] [PubMed]
12. Noguchi, H.; Gompper, G. Shape transitions of fluid vesicles and red blood cells in capillary flows. Proc. Natl. Acad. Sci. USA 2005, 102, 14159–14164. [CrossRef]
13. Fedosov, D.A.; Peltomäki, M.; Gompper, G. Deformation and dynamics of red blood cells in flow through cylindrical microchan- nels. Soft Matter 2014, 10, 4258–4267. [CrossRef] [PubMed]
14. Ciftlik, A.T.; Ettori, M.; Gijs, M.A.M. High throughput-per-footprint inertial focusing. Small 2013, 9, 2764–2773. [CrossRef] [PubMed]
15. Fregin, B.; Czerwinski, F.; Biedenweg, D.; Girardo, S.; Gross, S.; Aurich, K.; Otto, O. High-throughput single-cell rheology in complex samples by dynamic real-time deformability cytometry. Nat. Commun. 2019, 10, 415. [CrossRef]
16. Ito, H.; Murakami, R.; Sakuma, S.; Tsai, C.-H.D.; Gutsmann, T.; Brandenburg, K.; Poöschl, J.M.B.; Arai, F.; Kaneko, M.; Tanaka, M. Mechanical diagnosis of human eryhrocytes by ultra-high speed manipulation unraveled critical time window for global cytoskeletal remodeling. Sci. Rep. 2017, 7, 43134. [CrossRef] [PubMed]
17. Kihm, A.; Kaestner, L.; Wagner1, C.; Quint, S. Classification of red blood cell shapes in flow using outlier tolerant machine learning. PLoS Comput. Biol. 2019, 14, e1006278. [CrossRef]
18. Lu, X.; Wood, D.K.; Higgins, J.M. Deoxygenation reduces sickle cell blood flow at arterial oxygen tension. Biophys. J. 2016, 110, 2751–2758. [CrossRef] [PubMed]
19. McMahon, T.J. Red blood cell deformability, vasoactive mediators, and adhesion. Front. Physiol. 2019, 10, 1417. [CrossRef] [PubMed]
20. Chien, S.; Usami, S.; Bertles, J.F. Abnormal rheology of oxygenated blood in sickle cell anemia. J. Clin. Investig. 1970, 49, 623–634. [CrossRef]
21. Usami, S.; Chien, S.; Scholtz, P.M.; Bertles, J.F. Effect of deoxygenation on blood rheology in sickle cell disease. Microvasc. Res. 1975, 9, 324–334. [CrossRef]
22. Kaul, D.K.; Xue, H. Rate of deoxygenation and rheologic behavior of blood in sickle cell anemia. Blood 1991, 77, 1353–1361. [CrossRef] [PubMed]
23. Skalak, R.; Tozeren, A.; Zarda, R.P.; Chien, S. Strain energy function of red blood cell membranes. Biophys. J. 1973, 13, 245–264. [CrossRef]
24. Takeishi, N.; Imai, Y.; Nakaaki, K.; Yamaguchi, T.; Ishikawa, T. Leukocyte margination at arteriole shear rate. Physiol. Rep. 2014, 2, e12037. [CrossRef] [PubMed]
25. Takeishi, N.; Imai, Y.; Yamaguchi, T.; Ishikawa, T. Flow of a circulating tumor cell and red blood cells in microvessels. Phys. Rev. E 2015, 92, 063011. [CrossRef] [PubMed]
26. Evans, E.; Fung, Y.-C. Improved measurements of the erythrocyte geometry. Microvasc. Res. 1972, 4, 335–347. [CrossRef]
27. Barthés-Biesel, D.; Diaz, A.; Dheni, E. Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation. J. Fluid. Mech. 2002, 460, 211–222. [CrossRef]
28. Li, J.; Dao, M.; Lim, C.T.; Suresh, S. Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte. Phys. Fluid 2005, 88, 3707–6719. [CrossRef] [PubMed]
29. de Morales Marinkovic, M.P.; Turner, K.T.; Butler, J.P.; Fredberg, J.J.; Suresh, S. Viscoelasticity of the human red blood cell. Am. J. Physiol. Cell Physiol. 2007, 293, C597–C605. [CrossRef]
30. Suresh, S.; Spatz, J.; Mills, J.P.; Micoulet, A.; Dao, M.; Lim, C.T.; Beil, M.; Seufferlein, T. Connections between single-cell biomechanics and human disease states: Gastrointestinal cancer and malaria. Acta Biomater. 2005, 1, 15–30. [CrossRef]
31. Mohandas, N.; Gallagher, P.G. Red cell membrane: Past, present, and future. Blood 2008, 112, 3939–3948. [CrossRef] [PubMed]
32. Harkness, J.; Whittington, R.B. Blood-plasma viscosity: An approximate temperature-invariant arising from generalised concepts. Biorheology 1970, 6, 169–187. [CrossRef] [PubMed]
33. Takeishi, N.; Imai, Y.; Ishida, S.; Omori, T.; Kamm, R.D.; Ishikawa, T. Cell adhesion during bullet motion in capillaries. Am. J. Physiol. Heart Circ. Physiol. 2016, 311, H395–H403. [CrossRef]
34. Koutsiaris, A.G.; Tachmitzi, S.V.; Batis, N. Wall shear stress quantification in the human conjunctival pre-capillary arterioles in vivo. Microvasc. Res. 2013, 85, 34–39. [CrossRef]
35. Koutsiaris, A.G.; Tachmitzi, S.V.; Batis, N.; Kotoula, M.G.; Karabatsas, C.H.; Tsironi, E.; Chatzoulis, D.Z. Volume flow and wall shear stress quantification in the human conjunctival capillaries and post-capillary venules in vivo. Biorheology 2007, 44, 375–386.
36. Chen, S.; Doolen, G.D. Lattice boltzmann method for fluid flow. Annu. Rev. Fluid Mech. 1998, 30, 329–364. [CrossRef]
37. Walter, J.; Salsac, A.V.; Barthés-Biesel, D.; Le Tallec, P. Coupling of finite element and boundary integral methods for a capsule in a stokes flow. Int. J. Numer. Meth. Eng. 2010, 83, 829–850. [CrossRef]
38. Peskin, C.S. The immersed boundary method. Acta Numer. 2002, 11, 479–517.
39. Case, L.D.C.; Ku, D.N. Thrombus formation at high shear rates. Annu. Rev. Biomed. Eng. 2017, 19, 413–415. [CrossRef] [PubMed]
40. Aouane, O.; Thiébaud, M.; Benyoussef, A.; Wagner, C.; Misbah, C. Vesicle dynamics in a confined Poiseuille flow: From steady state to chaos. Phys. Rev. E 2014, 90, 033011. [CrossRef] [PubMed]
41. Kaoui, B.; Tahiri, N.; Biben, T.; Ez-Zahraouy, H.; Benyoussef, A.; Biros, G.; Misbah, C. Complexity of vesicle microcirculation Phys. Rev. E 2011, 84, 041906.
42. Tahiri, N.; Biben, T.; Ez-Zahraouy, H.; Benyoussef, A.; Misbah, C. On the problem of slipper shapes of red blood cells in the microvasculature. Microvasc. Res. 2013, 85, 40–45. [CrossRef] [PubMed]
43. Ye, T.; Shi, H.; Peng, L.; Li, Y. Numerical studies of a red blood cell in rectangular microchannels. J. Appl. Phys. 2017, 122, 084701. [CrossRef]
44. Peng, Z.; Asaro, R.J.; Zhu, Q. Multiscale modelling of erythrocytes in Stokes flow. J. Fluid Mech. 2011, 686, 299–337. [CrossRef]
45. Torres-Sánchez, A.; Millán, D.; Arroyo, M. Modelling fluid deformable surfaces with an emphasis on biological interfaces. J. Fluid Mech. 2019, 872, 271–281. [CrossRef]
46. Yazdani, A.; Bagchi, P. Influence of membrane viscosity on capsule dynamics in shear flow. J. Fluid Mech. 2013, 718, 569–595. [CrossRef]
47. Ramanujan, S.; Pozrikidis, C. Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: Large deformations and the effect of fluid viscosities. J. Fluid Mech. 1998, 361, 117–143. [CrossRef]
48. Foessel, É.; Walter, J.; Salsac, A.-V.; Barthés-Biesel, D. Influence of internal viscosity on the large deformation and buckling of a spherical capsule in a simple shear flow. J. Fluid Mech. 2011, 672, 477–486. [CrossRef]