Ultrasound in Medicine and Biology
Volume 34, Issue 5 , Pages 760-774 , May 2008

A Method to Estimate Wall Shear Rate with a Clinical Ultrasound Scanner

  • James R. Blake

      Affiliations

    • Medical Physics, The University of Edinburgh, Edinburgh, UK
    • Corresponding Author InformationAddress correspondence to: James Richard Blake, Department of Medical Physics, The Chancellor's Building, University of Edinburgh, 49 Little France Crescent, Edinburgh, UK EH16 4SB.
    • ,
  • Siobhan Meagher

      Affiliations

    • Medical Physics, The University of Edinburgh, Edinburgh, UK
    • ,
  • Katharine H. Fraser

      Affiliations

    • Medical Physics, The University of Edinburgh, Edinburgh, UK
    • ,
  • William J. Easson

      Affiliations

    • The School of Engineering and Electronics, The University of Edinburgh, Edinburgh, UK
    • ,
  • Peter R. Hoskins

      Affiliations

    • Medical Physics, The University of Edinburgh, Edinburgh, UK

Received 26 June 2007 ,Revised 22 October 2007 ,Accepted 2 November 2007.

References 

  1. Arnold JM, Marchiori GE, Imrie JR, Burton GL, Pflugfelder PW, Kostuk WJ. Large artery function in patients with chronic heart failure (Studies of brachial artery diameter and hemodynamics). Circulation. 1991;84:2418–2425
  2. Avolio AP. Multi-branched model of the human arterial system. Med Biol Eng Comput. 1980;18:709–718
  3. Barbee KA, Davies PF, Lal R. Shear stress-induced reorganization of the surface topography of living endothelial cells imaged by atomic force mi- croscopy. Circ Res. 1994;74:163–171
  4. Bastos CA, Fish PJ, Steel R, Vaz F. Doppler power spectrum from a Gaussian sample volume. Ultrasonics. 2000;37:623–632
  5. Bonnefous O, Pesqué P. Time domain formulation of pulse-Doppler ultrasound and blood velocity estimation by cross correlation. Ultrason Imaging. 1986;8:73–85
  6. Brands PJ, Hoeks APG, Hofstra L, Reneman RS. A noninvasive method to estimate wall shear rate using ultrasound. Ultrasound Med Biol. 1995;21:171–185
  7. Brodszki J, Gardiner HM, Eriksson A, Stale H, Marsál K. Reproducibility of ultrasonic fetal volume blood flow measurements. Clin Physiol. 1998;18:479–485
  8. Caro CG, Fitz-Gerald JM, Schroter RC. Atheroma and arterial wall shear (Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis). Proc Royal Soc Lond B Biol Sci. 1971;177:109–159
  9. Caro CG, Pedley TJ, Schroter RC, Seed WA. The Mechanics of the Circulation. Oxford, UK: Oxford University Press; 1978;
  10. Cezeaux JL, van Grondelle A. Accuracy of the inverse Womersley method for the calculation of hemodynamic variables. Ann Biomed Eng. 1997;25:536–546
  11. Cheng C, Helderman F, Tempel D, Segers D, Hierck B, Poelmann R, et al. Large variations in absolute wall shear stress levels within one species and between species. Atherosclerosis. 2007;195:225–235
  12. Daigle RJ, Stavros AT, Lee RM. Overestimation of velocity and frequency values by multielement linear array Dopplers. J Vasc Technol. 1990;14:203–213
  13. Dammers R, Stifft F, Tordoir JHM, Hameleers JMM, Hoeks APG, Kitslaar PJEHM. Shear stress depends on vascular territory: Comparison between common carotid and brachial artery. J Appl Physiol. 2003;94:485–489
  14. Davies PF. Flow-mediated endothelial mechanotransduction. Physiol Rev. 1995;75:519–560
  15. Evans DH. Some aspects of the relationship between instantaneous volumetric blood flow and continuous wave Doppler ultrasound recordings-III (The calculation of Doppler power spectra from mean velocity waveforms, and the results of processing these spectra with maximum, mean, and RMS frequency processors). Ultrasound Med Biol. 1982;8:617–623
  16. Evans DH, McDicken WN. Doppler Ultrasound: Physics, Instrumentation and Signal Processing. 2nd ed.. Chichester, UK: John Wiley & Sons; 2000;
  17. Falk E. Why do plaques rupture?. Circulation. 1992;86:S30–S42
  18. Fish PJ. Physical Principles of Medical Ultrasound. In: Chichester: Ellis Horwood; 1986;p. 338–376
  19. Fish PJ. Nonstationarity broadening in pulsed Doppler spectrum measurements. Ultrasound Med Biol. 1991;17:147–155
  20. Flaherty JT, Pierce JE, Ferrans VJ, Patel DJ, Tucker WK, Fry DL. Endothe- lial nuclear patterns in the canine arterial tree with particular reference to hemodynamic events. Circ Res. 1972;30:2323
  21. Flaud P, Bensalah A, Peronneau P. Deconvolution process in measurement of arterial velocity profiles via an ultrasonic pulsed Doppler velocimeter for evaluation of the wall shear rate. Ultrasound Med Biol. 1997;23:425–436
  22. Forsberg F, Morvay Z, Nandkumar RM, Deane CR, Needleman L. Shear rate estimation using a clinical ultrasound scanner. J Ultrasound Med. 2000;19:323–327
  23. Friedman MH, Deters OJ, Bargeron CB, Hutchins GM, Mark FF. Shear dependent thickening of the human arterial intima. Atherosclerosis. 1986;60:161–171
  24. Gerada M, Struijk PC, Stewart PA, Guerriero S, Melis GB, Wladimiroff JW. Comparison between color Doppler cineloop- and conventional spectral Doppler-derived maximum velocity and flow in the umbilical vein. Ultra sound Obstet Gynecol. 2006;28:156–161
  25. Giddens DP, Zarins CK, Glagov S. The role of fluid mechanics in the localization and detection of atherosclerosis. J Biomech Eng Transact ASME. 1993;115:588–594
  26. Holdsworth DW, Norley CJD, Frayne R, Steinman DA, Rutt BK. Characterization of common carotid artery blood-flow waveforms in normal human subjects. Physiol Meas. 1999;20:219–240
  27. Hoskins PR. A review of the measurement of blood velocity and related quantities using Doppler ultrasound. Proc Inst Mech Eng [H]. 1999;213:391–400
  28. Hoskins PR, Fish PJ, Pye SD, Anderson T. Finite beam-width ray model for geometric spectral broadening. Ultrasound Med Biol. 1999;25:391–404
  29. Hughes PE, How TV. Quantitative measurement of wall shear rate by pulsed Doppler ultrasound. J Med Eng Technol. 1993;17:58–64
  30. Kamiya A, Togawa T. Adaptive regulation of wall shear stress to flow change in the canine carotid artery. Am J Physiol. 1980;239:H14–H21
  31. Kasai C, Namekawa K, Koyano A, Omoto R. Real-time two-dimensional blood flow imaging using an autocorrelation technique. IEEE Transact Sonics Ultrason. 1985;SU-32:458–464
  32. Köhler U, Marshall I, Robertson MB, Long Q, Xu XY, Hoskins PR. MRI measurement of wall shear stress vectors in bifurcation models and comparison with CFD predictions. J Magn Reson Imaging. 2001;14:563–573
  33. Ku DN. Blood flow in arteries. Annu Rev Fluid Mech. 1997;29:399–434
  34. Ku DN, Giddens DP, Zarins CK, Glagov S. Pulsatile flow and atherosclerosis in the human carotid bifurcation (Positive correlation between plaque location and low oscillating shear stress). Arterioscler Thromb Vase Biol. 1985;5:293–320
  35. Ling SC, Atabek HB. A nonlinear analysis of pulsatile flow in arteries. J Fluid Mech. 1972;55:493
  36. Long Q, Xu XY, Ariff B, Thom SA, Hughes AD, Stanton AV. Reconstruction of blood flow patterns in a human carotid bifurcation: a combined CFD and MRI study. J Magn Reson Imaging. 2000;11:299–311
  37. Loudon C, Tordesillas A. The use of the dimensionless Womersley number to characterize the unsteady nature of internal flow. J Theor Biol. 1998;191:63–78
  38. Marshall I, Papathanasopoulou P, Wartlolowska K. Carotid flow rates and flow division at the bifurcation in healthy volunteers. Physiol Meas. 2004;25:691–697
  39. Murray CD. The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. Proc Natl Acad Sci U S A. 1926;12:207–214
  40. Nichols WW, O'Rourke MF. McDonald's Blood Flow in Arteries. 3rd ed.. London: Edward Arnold; 1990;
  41. Olufsen MS, Peskin CS, Kim WY, Pedersen EM, Nadim A, Larsen J. Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann Biomed Eng. 2000;28:1281–1299
  42. Oshinski J, Ku DN, Mukundan S, Loth F, Pettigrew RI. Determination of wall shear stress in the aorta with the use of MR phase velocity mapping. J Magn Reson Imaging. 1995;5:640–647
  43. Oyre S, Pedersen EM, Ringgard S, Boesiger P, Paasle WP. In vivo wall shear stress measured by magnetic resonance velocity mapping in the normal human abdominal aorta. Eur J Vasc Endovasc Surg. 1997;13:263–271
  44. Ramnarine KV, Nassiri DK, Hoskins PR, Lubbers J. Validation of a new blood-mimicking fluid for use in Doppler flow test objects. Ultrasound Med Biol. 1998;24:451–459
  45. Richardson PD. Biomechanics of plaque rupture: Progress, problems, and new frontiers. Ann Biomed Eng. 2002;30:524–536
  46. Salam TA, Lumsden AB, Suggs WD, Ku DN. Low shear stress promotes intimal hyperplasia thickening. J Vasc Invest. 1996;2:12–22
  47. Samijo SK, Willigers JM, Barkhuysen R, Kitslaar PJEHM, Reneman RS, Brands PJ, et al. Wall shear stress in the human common carotid artery as function of age and gender. Cardiovasc Res. 1998;39:515–522
  48. Samijo SK, Willigers JM, Brands PJ, Barkhuysen R, Reneman RS, Kitslaar PJEHM, et al. Reproducibility of shear rate and shear stress assessment by means of ultrasound in the common carotid artery of young human males and females. Ultrasound Med Biol. 1997;23:583–590
  49. Schlichting H. Boundary-layer theory. 7th ed.. New York: McGraw-Hill; 1987;
  50. Slager CJ, Wentzel JJ, Gijsen FJH, Schuurbiers JCH, van der Wal AC, van der Steen AFW, et al. The role of shear stress in the generation of rupture-prone vulnerable plaques. Nat Clin Pract Cardiovasc Med. 2005;2:401–407
  51. Slager CJ, Wentzel JJ, Gijsen FJH, Thury A, van der Wal AC, Schaar JA, et al. The role of shear stress in the destabilization of vulnerable plaques and related therapeutic implications. Nat Clin Pract Cardiovasc Med. 2005;2:456–464
  52. Steinman DA, Thomas JB, Ladak HM, Milner JS, Rutt BK, Spence JD. Re-construction of carotid bifurcation hemodynamics and wall thickness using computational fluid dynamics and MRI. Magn Reson Med. 2002;47:149–159
  53. Steinman DA, Vinh B, Ethier CR, Ojha M, Cobbold RS, Johnston KW. A numerical simulation of flow in a two-dimensional end-to-side anastomosis model. J Biomech Eng. 1993;115:112–118
  54. Stroev PV, Hoskins PR, Easson WJ. Distribution of wall shear rate through- out the arterial tree: A case study. Atherosclerosis. 2007;191:276–280
  55. Struijk PC, Stewart PA, Fernando KL, Mathews VJ, Loupas T, Steegers EAP, et al. Wall shear stress and related hemodynamic parameters in the fetal descending aorta derived from color Doppler velocity profiles. Ultrasound Med Biol. 2005;31:1441–1450
  56. Taylor CA, Cheng CP, Espinosa LA, Tang BT, Parker D, Herfkens RJ. In vivo quantification of blood flow and wall shear stress in the human abdominal aorta during lower limb exercise. Ann Biomed Eng. 2002;30:402–408
  57. Taylor CA, Hughes TJR, Zarins CK. Finite element modeling of the three-dimensional pulsatile flow in the abdominal aorta: Relevance to atheroscle- rosis. Ann Biomed Eng. 1998;26:975–987
  58. Teirlinck CJ, Bezemer RA, Kollmann C, Lubbers J, Hoskins PR, Ramnarine KV, et al. Development of an example flow test object and comparison of five of these test objects, constructed in various laboratories. Ultrasonics. 1998;36:653–660
  59. Tortoli P, Morganti T, Bambi G, Palombo C, Ramnarine KV. Noninvasive simultaneous assessment of wall shear rate and wall distension in carotid arteries. Ultrasound Med Biol. 2006;32:1661–1670
  60. Weaver JP, Evans A, Walder DN. The effect of increased fibrinogen content on the viscosity of blood. Clin Sci. 1969;36:1–10
  61. Womersley JR. Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J Physiol. 1955;127:553–563
  62. Wootton DM, Ku DN. Fluid mechanics of vascular systems, diseases, and thrombosis. Annu Rev Biomed Eng. 1999;1:299–329
  63. Wu SP, Ringgaard S, Oyre S, Hansen MS, Rasmus S, Pedersen EM. Wall shear rates differ between the normal carotid, femoral, and brachial arteries: An in vivo MRI study. J Magn Reson Imaging. 2004;19:188–193
  64. Zarins CK, Giddens DP, Bharadvaj BK, Sottiurai VS, Mabon RF, Glagov S. Carotid bifurcation atherosclerosis (Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress). Circ Res. 1983;53:502–514
  65. Zarins CK, Zatina MA, Giddens DP, Ku DN, Glagov S. Shear stress regulation of artery lumen diameter in experimental atherogenesis. J Vase Surg. 1987;5:413–420

PII: S0301-5629(07)00563-7

doi: 10.1016/j.ultrasmedbio.2007.11.003

Ultrasound in Medicine and Biology
Volume 34, Issue 5 , Pages 760-774 , May 2008

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