The purpose of this work is to predict the effect of impaired red blood cells (RBCs) deformability on blood flow conditions in human carotid artery bifurcation. First, a blood viscosity model is developed that predicts the steady-state blood viscosity as a function of shear rate, plasma viscosity, and mechanical (and geometrical) properties of RBC's. Viscosity model is developed by modifying the well-known Krieger and Dougherty equation for monodisperse suspensions by using the dimensional analysis approach. With the approach, we manage to account for the microscopic properties of RBC's, such as their deformability, in the macroscopic behavior of blood via blood viscosity. In the second part of the paper, the deduced viscosity model is used to numerically predict blood flow conditions in human carotid artery bifurcation. Simulations are performed for different values of RBC's deformability and analyzed by investigating parameters, such as the temporal mean wall shear stress (WSS), oscillatory shear index (OSI), and mean temporal gradient of WSS. The analyses show that the decrease of RBC's deformability decrease the regions of low WSS (i.e., sites known to be prevalent at atherosclerosis-prone regions); increase, in average, the value of WSS along the artery; and decrease the areas of high OSI. These observations provide an insight into the influence of blood's microscopic properties, such as the deformability of RBC's, on hemodynamics in larger arteries and their influence on parameters that are known to play a role in the initiation and progression of atherosclerosis.
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January 2017
Research-Article
Modeling the Effect of Red Blood Cells Deformability on Blood Flow Conditions in Human Carotid Artery Bifurcation
Janez Urevc,
Janez Urevc
Laboratory for Numerical Modelling and Simulations,
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
e-mail: janez.urevc@fs.uni-lj.si
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
e-mail: janez.urevc@fs.uni-lj.si
Search for other works by this author on:
Iztok Žun,
Iztok Žun
Laboratory for Fluid Dynamics and Thermodynamics,
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Search for other works by this author on:
Milan Brumen,
Milan Brumen
Chair of Biophysics,
Faculty of Medicine,
University of Maribor,
Maribor 2000, Slovenia
Faculty of Medicine,
University of Maribor,
Maribor 2000, Slovenia
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Boris Štok
Boris Štok
Laboratory for Numerical Modelling and Simulations,
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Search for other works by this author on:
Janez Urevc
Laboratory for Numerical Modelling and Simulations,
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
e-mail: janez.urevc@fs.uni-lj.si
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
e-mail: janez.urevc@fs.uni-lj.si
Iztok Žun
Laboratory for Fluid Dynamics and Thermodynamics,
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Milan Brumen
Chair of Biophysics,
Faculty of Medicine,
University of Maribor,
Maribor 2000, Slovenia
Faculty of Medicine,
University of Maribor,
Maribor 2000, Slovenia
Boris Štok
Laboratory for Numerical Modelling and Simulations,
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
Faculty of Mechanical Engineering,
University of Ljubljana,
Aškerčeva 6,
Ljubljana 1000, Slovenia
1Corresponding author.
Manuscript received June 3, 2016; final manuscript received September 29, 2016; published online November 30, 2016. Assoc. Editor: Ender A. Finol.
J Biomech Eng. Jan 2017, 139(1): 011011 (11 pages)
Published Online: November 30, 2016
Article history
Received:
June 3, 2016
Revised:
September 29, 2016
Citation
Urevc, J., Žun, I., Brumen, M., and Štok, B. (November 30, 2016). "Modeling the Effect of Red Blood Cells Deformability on Blood Flow Conditions in Human Carotid Artery Bifurcation." ASME. J Biomech Eng. January 2017; 139(1): 011011. https://doi.org/10.1115/1.4035122
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