The relationship between the non-Newtonian properties of blood, its fluidity and transport potential in patients with arterial hypertension
E. Volkova
, A. Zamyshliaev
, P. Mikhailov
, I. Tikhomirova
, I. Osetrov
, A. Muravyov
, N. Antonova
Abstract: In different parts of the circulation, blood exhibits the properties of a Newtonian and non-Newtonian fluid. Changing the shear conditions and the vascular bed geometry can contribute to a greater manifestation of the non-Newtonian behavior of blood. The latter is combined with a decrease in blood fluidity and its transport potential. The aim of the study was to estimate the effect of changes in non-Newtonian characteristics of blood on its fluidity and transport potential in patients with arterial hypertension (AH).
In two groups (group 1 of healthy subjects, n=22 and group 2 of 20 patients with AH) hemorheological profile parameters were recorded, including blood viscosity (BV) at five increasing shear stresses (SS). At the same SS, the red blood cell (RBC) elongation index (EI) and their ghosts were determined. The data obtained indicate that the flow of blood as a viscous liquid can have a non-Newtonian character both under normal conditions and especially in pathology, for example, in arterial hypertension. The non-Newtonian behavior of blood is very well described by the power-law fluid model. It can be obtained by registering blood viscosity at several, at least five, shear stresses. It was found that the most significant characteristic of the change in the degree of non-Newtonian behavior of blood is the index of consistency, “k” from this equation: y= kx-n. It strongly correlated with blood fluidity and its transport potential mostly in AH patients. In addition, it was found that an increase in the RBC deformation, which is close to a linear type, with a gradual increase in shear stress in the microchamber, is better predicted by the power-law pseudoplastic fluid model.
Series on Biomechanics, Vol.37, No.3 (2023), 11-18
Keywords: arterial hypertension; Blood viscosity; non-Newtonian properties; red blood cell deformability
References: (click to open/close) | [1] Pries, A. R. Secomb T. W., 1997. Resistance to blood flow in vivo: from Poiseuille to the «in vivo viscosity law». Biorheology 34, 4-5, 369–373. [2] Stoltz, J.F., Donner, M., Muller, S., Larcan, A., 1991. Hemorheology in clinical practice. Introduction to the notion of hemorheologic profile. J. Mal. Vasc. 6, 261-270. [3] Ajmani, R.S., 1997. Hypertension and hemorheology. Clin. Hemorheol. Microcirc. 17, 6, 397–420. [4] Liepsch, D., Sindeev, S.V., Frolov, S.V., 2018. Distinguishing between Newtonian and non-Nowtonian character of blood flow in vascular bifurcations and bends. Series on Biomechanics 32, 2, 3-11. [5] Gallagher, M.T., Wain, RAJ, Dari, S., Whitty, J.P., Smith D.J., 2019. Non-identifiability of parameters for a class of shear-thinning rheological models, with implications for haematological fluid dynamics. J Biomech. 85, 230-238. [6] How, T.V., Black, R.A., 1987. Pressure losses in non-Newtonian flow through rigid wall tapered tubes. Biorheology 24, 3, 337-351. [7] Mazumdar, J., Ang, K.C., Soh, L.L., 1991. A mathematical study of non-Newtonian blood flow through elastic arteries. Australas Phys Eng Sci Med. 14, 2, 65-73. [8] Wilkinson, W.L., 1960. Non-Newtonian fluids. Fluid Mechanics, Mixing and Heat Transfer. Pergamon Press. London, 138 pp. [9] Dintenfass, L., 1981. Clinical applications of heamorheology. The Rheology of blood, blood vessels and associated tissues. New York: Oxford Press, 22–50. [10] Baskurt, O.K., Meiselman, H.J., 1997. Cellular determinants of low shear blood viscosity. Biorheology 34, 30, 235–247. [11] Muravyov, A.V., Antonova, N., Tikhomirova, I.A., 2019. Red blood cell micromechanical responses to hydrogen sulphide and nitric oxide donors: Analysis of crosstalk of two gasotransmitters (H2S and NO). Series on Biomechanics 33, 2, 34-40. [12] Dodge, J., Mitchell, C., Hanahan, D., 1963. The preparation and chemical characteristics of hemoglobin free ghosts of erythrocytes. Arch. Biochem. Biophys. 100, 119-130. [13] Foresto, P., D'Arrigo, M., Filippini, F., 2005. Hemorheological alterations in hypertensive patients. Medicina (B Aires). 65, 2, 121–5. [Article in Spanish]. [14] Guedes, A.F., Moreira, C., Nogueira, J.B., 2019. Fibrinogen - erythrocyte binding and hemorheology measurements in the assessment of essential arterial hypertension patients. Nanoscale 11, 6, 2757–66. DOI: 10.1039/C8NR04398A. [15] Neofytou, P., 2004. Comparison of blood rheological models for physiological flow simulation. Biorheology 41, 6, 693-714. [16] Soulis, J.V., Giannoglou, G.D., Chatzizisis, Y.S., Seralidou, K.V., Parcharidis, G.E., Louridas, G.E., 2007. Non-Newtonian models for molecular viscosity and wall shear stress in a 3D reconstructed human left coronary artery. Med Eng Phys. 30, 1, 9-19. DOI: 10.1016/j.medengphy.2007.02.001. [17] Abbasian, M., Shams, M., Valizadeh, Z., Moshfegh, A., Javadzadegan A., Cheng S., 2020. Effects of different non-Newtonian models on unsteady blood flow hemodynamics in patient-specific arterial models with in-vivo validation. Comput Methods Programs Biomed. 186, 105-185. DOI: 10.1016/j.cmpb.2019.105185. [18] Kannojiya, V, Das, A.K., Das P.K., 2021. Simulation of Blood as Fluid: A Review From Rheological Aspects. IEEE Rev Biomed Eng. 14:327-341. DOI: 10.1109/RBME.2020.3011182. [19] Wajihah, S.A., Sankar D.S., 2023. A review on non-Newtonian fluid models for multi-layered blood rheology in constricted arteries. Arch Appl Mech. 93, 5, 1771-1796. doi: 10.1007/s00419-023-02368-6. [20] Johnston, B.M., Johnston, P.R., Corney, S., Kilpatrick, D., 2004. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J Biomech. 37, 5, 709-20. DOI: 10.1016/j.jbiomech.2003.09.016. [21] Mejia, J., Mongrain, R., Bertrand, O.F., 2011. Accurate prediction of wall shear stress in a stented artery: newtonian versus non-newtonian models. J Biomech Eng. 133, 7, 074501. DOI: 10.1115/1.4004408. [22] Kandangwa, P., Torii, R., Gatehouse, P.D., Sherwin, S.J., Weinberg, P.D., 2022. Influence of right coronary artery motion, flow pulsatility and non-Newtonian rheology on wall shear stress metrics. Front Bioeng Biotechnol. 10, 962687. DOI: 10.3389/fbioe.2022.962687. [23] Hochmuth, R.M., Mohandas, N., Blackshear, P.L., 1973. Measurement of the elastic modulus for red cell membrane using a fluid mechanical technique. Biophysical journal. 13, 747-762. 1. [24] Chien, S., Sung, L.F., Lee, V.V., Skalak, R., 1992. Red cell membrane elasticity as determined by flow channel technique. Biorheology 29, 467-478. DOI: 10.3233/bir-1992-295-607.
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| Date published: 2023-08-02
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