Rethinking turbulence in blood.

Blood flow, normally laminar, can exhibit high frequency fluctuations suggesting turbulence, which has important implications for the pathophysiology of vascular diseases and the design of blood-bearing devices. According to the classical model of turbulence in a homogeneous fluid, these fluctuations can be attributed to the cascade of eddies down to the Kolmogorov length scale, which, for apparent turbulence in blood, is reported to be on the order of tens of microns. On the other hand, blood is a suspension of mostly red blood cells (RBC), the size and concentration of which would seem to preclude the formation of eddies down to these scales. Assuming dissipation occurs instead via cell-cell interactions mediated by the plasma, here we show how turbulent velocity fluctuations, normally ascribed to turbulent (Reynolds) stresses, could give rise to viscous shear stresses. This may help to resolve fundamental inconsistencies in the understanding of mechanical hemolysis, and it provides a physical basis for the forces actually experienced by formed elements in the blood under nominally turbulent flow. In summary, RBC must be acknowledged as equal players if a satisfactory definition of turbulence in blood is to be achieved.

[1]  Fotis Sotiropoulos,et al.  Characterization of Hemodynamic Forces Induced by Mechanical Heart Valves: Reynolds vs. Viscous Stresses , 2008, Annals of Biomedical Engineering.

[2]  B. Werner,et al.  The Cumulative and Sublethal Effects of Turbulence on Erythrocytes in a Stirred-Tank Model , 2007, Annals of Biomedical Engineering.

[3]  Nathan J. Quinlan,et al.  Models of Flow-Induced Loading on Blood Cells in Laminar and Turbulent Flow, with Application to Cardiovascular Device Flow , 2007, Annals of Biomedical Engineering.

[4]  Leonid Goubergrits,et al.  Numerical modeling of blood damage: current status, challenges and future prospects , 2006, Expert review of medical devices.

[5]  N. Quinlan Comment on "Prosthetic heart valves' mechanical loading of red blood cells in patients with hereditary membrane defects'', Grigioni et al. , 2006 .

[6]  N. Quinlan Comment on "Prosthetic heart valves' mechanical loading of red blood cells in patients with hereditary membrane defects" by Grigioni et al., Journal of Biomechanics 38, 1557-1565. , 2006, Journal of biomechanics.

[7]  S. Jones A relationship between reynolds stresses and viscous dissipation: Implications to red cell damage , 2006, Annals of Biomedical Engineering.

[8]  Fotis Sotiropoulos,et al.  Flow in Prosthetic Heart Valves: State-of-the-Art and Future Directions , 2005, Annals of Biomedical Engineering.

[9]  Ghassan S. Kassab,et al.  Computer Modeling of Red Blood Cell Rheology in the Microcirculation: A Brief Overview , 2005, Annals of Biomedical Engineering.

[10]  Pascal Verdonck,et al.  Hemodynamics and Complications Encountered with Arteriovenous Fistulas and Grafts as Vascular Access for Hemodialysis: A Review , 2005, Annals of Biomedical Engineering.

[11]  M. Grigioni,et al.  Prosthetic heart valves' mechanical loading of red blood cells in patients with hereditary membrane defects. , 2005, Journal of biomechanics.

[12]  Mitsuo Umezu,et al.  Effects of Turbulent Stresses upon Mechanical Hemolysis: Experimental and Computational Analysis , 2004, ASAIO journal.

[13]  F. Stillinger,et al.  Improving the Density of Jammed Disordered Packings Using Ellipsoids , 2004, Science.

[14]  S H Chu,et al.  Turbulence characteristics downstream of bileaflet aortic valve prostheses. , 2000, Journal of biomechanical engineering.

[15]  N H Hwang,et al.  Human red blood cell hemolysis in a turbulent shear flow: contribution of Reynolds shear stresses. , 1984, Biorheology.

[16]  H N Sabbah,et al.  Turbulent Blood Flow in the Ascending Aorta of Humans with Normal and Diseased Aortic Valves , 1976, Circulation research.

[17]  S P Sutera,et al.  Deformation and fragmentation of human red blood cells in turbulent shear flow. , 1975, Biophysical journal.

[18]  J D Hellums,et al.  Red blood cell damage by shear stress. , 1972, Biophysical journal.