title: Chaotic dynamics of red blood cells in a sinusoidal flow.
abstract: We show that the motion of individual red blood cells in an oscillating moderate shear flow is described by a nonlinear system of three coupled oscillators. Our experiments reveal that the cell tank treads and tumbles either in a stable way with synchronized cell inclination, membrane rotation and hydrodynamic oscillations, or in an irregular way, very sensitively to initial conditions. By adapting our model described previously, we determine the theoretical diagram for the red cell motion in a sinusoidal flow close to physiological shear stresses and flow variation frequencies and reveal large domains of chaotic motions. Finally, fitting our observations allows a characterization of cell viscosity and membrane elasticity.
authors.affiliation: laboratoire Adhésion & Inflammation, Inserm U600, case 937, 163 Avenue de Luminy 13288 Marseille Cedex 9, France.
authors.forename: Jules
authors.initials: J
authors.lastname: Dupire
authors.forename: Manouk
authors.initials: M
authors.lastname: Abkarian
authors.forename: Annie
authors.initials: A
authors.lastname: Viallat
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004912:Erythrocytes / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D009038:Motion; D017711:Nonlinear Dynamics; D010507:Periodicity; D013997:Time Factors