title: Three-dimensional vesicles under shear flow: numerical study of dynamics and phase diagram.
abstract: The study of vesicles under flow, a model system for red blood cells (RBCs), is an essential step in understanding various intricate dynamics exhibited by RBCs in vivo and in vitro. Quantitative three-dimensional analyses of vesicles under flow are presented. The regions of parameters to produce tumbling (TB), tank-treating, vacillating-breathing (VB), and even kayaking (or spinning) modes are determined. New qualitative features are found: (i) a significant widening of the VB mode region in parameter space upon increasing shear rate γ and (ii) a robustness of normalized period of TB and VB with γ. Analytical support is also provided. We make a comparison with existing experimental results. In particular, we find that the phase diagram of the various dynamics depends on three dimensionless control parameters, while a recent experimental work reported that only two are sufficient.
authors.affiliation: Université de Lyon, F-69000, France.
authors.forename: Thierry
authors.initials: T
authors.lastname: Biben
authors.forename: Alexander
authors.initials: A
authors.lastname: Farutin
authors.forename: Chaouqi
authors.initials: C
authors.lastname: Misbah
mesh_terms: D000818:Animals; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D004912:Erythrocytes / Q000166:cytology* / Q000473:pathology; D006801:Humans; D008051:Lipid Bilayers; D008954:Models, Biological; D008962:Models, Theoretical; D016011:Normal Distribution; D015203:Reproducibility of Results; D012212:Rheology; D033081:Shear Strength; D013314:Stress, Mechanical; D014783:Viscosity
chemical_list: D008051:Lipid Bilayers