- Access by Xinjiang University
Characterization of blood velocity in arteries using a combined analytical and Doppler imaging approach
Phys. Rev. Fluids 4, 053101 – Published 13 May, 2019
DOI: https://doi.org/10.1103/PhysRevFluids.4.053101
Abstract
We report an experimental and analytical approach to characterize the pulsatile blood flow field based on Doppler ultrasound imaging of the carotid and brachial arteries. The diameter-averaged velocity, obtained from the instantaneous velocity histograms extracted from the Doppler waveform, was adapted to the solution of a pulsatile flow in a pipe, from which the instantaneous velocity profiles were predicted and compared to local velocity measurements in the carotid and brachial arteries of four healthy human subjects. Very good agreement as demonstrated by the regression slope of 0.97 and the near-zero intercept was observed between the spatiotemporal flow field predictions and local velocity measurements at specific distances from the vessel wall. Near-real-time in vivo measurements statistically demonstrate that the analytical and experimental approach presented herein precisely captures the pulsatile blood flow behavior in large blood vessels.
Physics Subject Headings (PhySH)
Article Text
References (39)
- S. Chien, Mechanotransduction and endothelial cell homeostasis: The wisdom of the cell, Am. J. Physiol. 292, H1209 (2007).
- J. M. Tarbell, S. Weinbaum, and R. D. Kamm, Cellular fluid mechanics and mechanotransduction, Ann. Biomed. Eng. 33, 1719 (2005).
- S. Weinbaum, X. Zhang, Y. Han, H. Vink, and S. C. Cowin, Mechanotransduction and flow across the endothelial glycocalyx, Proc. Natl. Acad. Sci. (USA) 100, 7988 (2003).
- Z. Shi, G. Abraham, and J. M. Tarbell, Shear stress modulation of smooth muscle cell marker genes in 2-d and 3-d depends on mechanotransduction by heparan sulfate proteoglycans and erk1/2, PLoS ONE 5, e12196 (2010).
- P. F. Davies, Hemodynamic shear stress and the endothelium in cardiovascular pathophysiology, Nat. Clin. Pract. Card. 6, 16 (2008).
- A. Gnasso, C. Irace, C. Carallo, M. S. Franceschi, C. Motti, P. L. Mattioli, and A. Pujia, In vivo association between low wall shear stress and plaque in subjects with asymmetrical carotid atherosclerosis, Stroke 28, 993 (1997).
- T. F. O’Donnell, Pulsatile flow and atherosclerosis in the human carotid bifurcation: Positive correlation between plaque location and low and oscillating shear stress, J. Vasc. Surg. 3, 944 (1986).
- J. J. Wentzel, D. M. Whelan, W. J. Giessen, H. M. Beusekom, I. Andhyiswara, P. W. Serruys, C. J. Slager, and R. Krams, Coronary stent implantation changes 3-D vessel geometry and 3-D shear stress distribution, J. Biomech. 33, 1287 (2000).
- J. J. Wentzel, R. Krams, J. C. Schuurbiers, J. A. Oomen, J. Kloet, W. J. Giessen, P. W. Serruys, and C. J Slager, Relationship between neointimal thickness and shear stress after wallstent implantation in human coronary arteries, Circulation 103, 1740 (2001).
- P. V. Ooij, W. V. Potters, A. J. Nederveen, B. D. Allen, J. Collins, J. Carr, S. C. Malaisrie, M. Markl, and A. J. Barker, A methodology to detect abnormal relative wall shear stress on the full surface of the thoracic aorta using four-dimensional flow MRI, Magn. Reson. Med. 73, 1216 (2014).
- H. H. Carter, C. L. Atkinson, I. H. Heinonen, A. Haynes, E. Robey, K. J. Smith, P. N. Ainslie, R. L. Hoiland, and D. J. Green, Evidence for shear stress—mediated dilation of the internal carotid artery in humans, Hypertension 68, 1217 (2016).
- E. S. Farag, P. V. Ooij, R. N. Planken, K. C. Dukker, F. D. Heer, B. J. Bouma, D. Robbers-Visser, M. Groenink, A. J Nederveen, B. A. J. M. de Mol, J. Kluin, and S. M. Boekholdt, Aortic valve stenosis and aortic diameters determine the extent of increased wall shear stress in bicuspid aortic valve disease, J. Magn. Reson. Imag. 48, 522 (2018).
- F. V. Knobelsdorff-Brenkenhoff, A. Karunaharamoorthy, R. F. Trauzeddel, A. J. Barker, E. Blaszczyk, M. Markl, and J. Schulz-Menger, Aortic flow and wall shear stress in aortic stenosis is associated with left ventricular remodeling, J. Cardiov. Magn. Reson. 18, Q57 (2016).
- M. Cibis, W. V. Potters, M. Selwaness, F. J Gijsen, O. H. Franco, A. M. Lorza, M. de Bruijne, A. Hofman, A. van der Lugt, A. J. Nedeveen, and J. J. Wentzel, Relation between wall shear stress and carotid artery wall thickening MRI versus CFD, J. Biomech. 49, 735 (2016).
- L. H. Timmins, D. S. Molony, P. E. Shtehardi, M. C. McDaniel, J. N. Oshinski, H. Samady, and D. P. Giddens, Focal association between wall shear stress and clinical coronary artery disease progression, Ann. Biomed. Eng. 43, 94 (2014).
- A. Alaraj, S. F. Shakur, S. Amin-Hanjani, H. Mostafa, S. Khan, V. A. Aletich, and F. T. Charbel, Changes in wall shear stress of cerebral arteriovenous malformation feeder arteries after embolization and surgery, Stroke 46, 1216 (2015).
- Z. Liu, Y. Zhao, X. Wang, H. Zhang, Y. Cui, Y. Diao, J. Xiu, X. Sun, and G. Jiang, Low carotid artery wall shear stress is independently associated with brain white-matter hyperintensities and cognitive impairment in older patients, Atherosclerosis 247, 78 (2016).
- R. M. Restaino, L. K. Walsh, T. Morishima, J. R. Vranish, L. A. Martinez-Lemus, P. J. Fadel, and J. Padilla, Endothelial dysfunction following prolonged sitting is mediated by a reduction in shear stress, Am. J. Physiol. 310, H648 (2016).
- H. H. Carter, A. L. Spence, P. N. Ainslie, C. J. Pugh, L. H. Naylor, and D. J. Green, Differential impact of water immersion on arterial blood flow and shear stress in the carotid and brachial arteries of humans, Physiol. Rep. 5, e13285 (2017).
- A. Gizzi, M. Bernaschi, D. Bini, C. Cherubini, S. Filippi, S. Melchionna, and S. Succi, Three-band decomposition analysis of wall shear stress in pulsatile flows, Phys. Rev. E 83, 031902 (2011).
- M. Cibis, W. V. Potters, F. J. H. Gijsen, H. Marquering, E. van Bavel, A. F. W. van der Steen, A. J. Nederveen, and J. J. Wentzel, Wall shear stress calculations based on 3D cine phase contrast MRI and computational fluid dynamics: A comparison study in healthy carotid arteries, NMR Biomed. 27, 826 (2014).
- D. C. Barber and D. R. Hose, Automatic segmentation of medical images using image registration: Diagnostic and simulation applications, J. Med. Eng. Technol. 29, 53 (2005).
- A. G. Brown, Y. Shi, A. Arndt, J. Muller, P. Lawford, and D. R. Hose, Importance of realistic LVAD profiles for assisted aortic simulations: Evaluation of optimal outflow anastomosis locations, Comput. Methods Biomech. Biomed. Eng. 15, 669 (2012).
- F. Zhao and X. Xie, An overview on interactive medical image segmentation, Ann. BMVA 7, 1 (2013).
- K. Hecher, S. Campbell, P. Doyle, K. Harrington, and K. Nicolaides, Assessment of fetal compromise by doppler ultrasound investigation of the fetal circulation: Arterial, intracardiac, and venous blood flow velocity studies, Circulation 91, 129 (1995).
- K. S. Wong, H. Li, Y. L. Chan, A. Ahuja, W. W. Lam, A. Wong, and R. Kay, Use of transcranial doppler ultrasound to predict outcome in patients with intracranial large-artery occlusive disease, Stroke 31, 2641 (2000).
- M. M. Pederson, M. J. Phil, P. Haugaard, K. L. Hansen, T. Lange, L. Lonn, M. B. Nielsen, and J. A Jensen, Novel flow quantification of the carotid bulb and the common carotid artery with vector flow ultrasound, Ultrasound Med. Biol. 40, 2700 (2014).
- J. M. Hudson, R. Williams, L. Milot, Q. Wei, J. Jago, and P. N. Burns, In vivo validation of volume flow measurements of pulsatile flow using a clinical ultrasound system and matrix array transducer, Ultrasound Med. Biol. 43, 579 (2017).
- J. R. Womersley, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, J. Physiol. 127, 553 (1955).
- J. P. Mynard and D. A. Steinman, Effect of velocity profile skewing on blood velocity and volume flow waveforms derived from maximum Doppler spectral velocity, Ultrasound Med. Biol. l39, 870 (2013).
- J. P. Mynard, B. A. Wasserman, and D. A. Steinman, Errors in the estimation of wall shear stress by maximum Doppler velocity, Atherosclerosis 227, 259 (2013).
- R. Ponzini, C. Vergara, G. Rizzo, A. Veneziani, A. Redaelli, A. Vanzulli, and O. Parodi, Computational fluid dynamics-based estimation of blood flow rate in Doppler analysis: In vivo validation by means of phase contrast magnetic resonance imaging, ASME Summer Bioengineering Conference, Pts. A and B (2009).
- A. Swillens, D. Shcherbakova, B. Trachet, and P. Segers, Pitfalls of doppler measurements for arterial blood flow quantification in small animal research: A study based on virtual ultrasound imaging, Ultrasound Med. Biol. 42, 1399 (2016).
- S. Ricci, A. Swillens, A. Ramalli, M. Cinthio, P. Segers, and P. Tortoli, Improved wall shear rate method for robust measurements, IEEE International Ultrasonics Symposium (IEEE, Chicago, IL, USA, 2014), pp. 432–435.
- J. R. Blake, S. Meagher, K. H. Fraser, W. J. Easson, and P. R. Hoskins, A method to estimate wall shear rate with a clinical ultrasound scanner, Ultrasound Med. Biol. 34, 760 (2008).
- X. Zhou, C. Xia, F. Khan, G. Corner, Z. Huang, and P. R. Hoskins, Investigation of ultrasound measured flow rate and wall shear rate in wrist arteries using flow phantoms, Ultrasound Med. Biol. 42, 815 (2016).
- X. Yang, L. Hollis, F. Adams, F. Khan, and P. R. Hoskins, A fast method to estimate the wall shear stress waveform in arteries, Ultrasound 43, 23 (2013).
- M. G. Rabby, S. P. Shupti, and M. M. Molla, Pulsatile non-Newtonian laminar blood flows through arterial double stenoses, J. Fluids 2014, 757902 (2014).
- H. A. Silber, D. A. Bluemke, P. Ouyang, Y. P. Du, W. S. Post, and J. A. Lima, The relationship between vascular wall shear stress and flow-mediated dilation: Endothelial function assessed by phase-contrast magnetic resonance angiography, J. Am. Coll. Cardiol. 38, 1859 (2001).