Abstract
The purpose of the present work was to study the influence of blood acceleration and time window length on the power Doppler spectrum for Gaussian ultrasound beams. The work has been carried out on the basis of continuum model of the ultrasound scattering from inhomogeneities in fluid flow. Correlation function of fluctuations has been considered for uniformly accelerated scatterers, and the resulting power Doppler spectra have been calculated. It is shown that within the initial phase of systole uniformly accelerated slow blood flow in pulmonary artery and aorta tends to make the correlation function about 4.89 and 7.83 times wider, respectively, than the sensitivity function of typical probing system. Given peak flow velocities, the sensitivity function becomes, vice versa, about 4.34 and 3.84 times wider, respectively, then the correlation function. In these limiting cases, the resulting spectra can be considered as Gaussian. The optimal time window duration decreases with increasing acceleration of blood flow and equals to 11.62 and 7.54 ms for pulmonary artery and aorta, respectively. The width of the resulting power Doppler spectrum is shown to be defined mostly by the wave vector of the incident field, the duration of signal and the acceleration of scatterers in the case of low flow velocities. In the opposite case geometrical properties of probing field and the average velocity itself are more essential. In the sense of signal–noise ratio, the optimal duration of time window can be found. Abovementioned results may contribute to the improved techniques of Doppler ultrasound diagnostics of cardiovascular system.
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References
C. R. Hill, J. C. Bamber, and G. R. ter Haar, Physical Principles of Medical Ultrasonics (Wiley, 2004).
L. Cuhna, I. Horvath, S. Ferreira, J. Lemos, P. Costa, D. L. F. Metello, Mol. Diagn. Ther. 18 (2), 153–173 (2014).
R. W. Coatney, Inst. Lab. Anim. Res. J. 42 (3), 233–247 (2001).
P. J. Fish, in Physical Principles of Medical Ultrasonics, Ed. by C. R. Hill (Ellis Horwood, Chichester, 1986), pp. 338–376.
P. N. T. Wells, Eur. J. Ultrasound 7 (1), 3–8 (1998).
W. N. Hoskins and P. R. McDicken, Brit. J. Radiol. 70 (837), 878–890 (1997).
D. Price, D. Wallbridge, and M. Stewart, Heart 84 (Suppl. 2), 11–18 (2000).
S. A. Girnyk, A. E. Barannik, V. V. Tovstiak, D. A. Tolstoluzhsky, and E. A. Barannik, Ultrasound Med Biol. 35 (5), 764–772 (2009).
F.-B. Tian, L. Zhu, P.-W. Fok, and X.-Y. Lu, Computers in Biology and Medicine 43 (9), 1098–1113 (2013).
J. Solano, M. Vasquez, E. Rubio, I. Sanchez, M. Fuentes, and F. Garcia-Nocetti, Physics Procedia 3 (1), 605–613 (2010).
C.-K. Yen and P.-C. Li, Ultrasonic Imaging 24 (3), 135 (2002).
G. Cloutier, D. Chen, and L.-G. Durand, Ultrasound Med. Biol. 27 (4), 535–550 (2001).
Y. Hua, L. Jia, L. Li, C. Ling, Z. Miao, and L. Jiao, Ultrasound Med. Biol. 37 (3), 358–363 (2011).
D. N. Ku, Annu. Rev. Fluid Mech. 29, 399–434 (1997).
K. Yared, P. Noseworthy, A. E. Weyman, E. McCabe, M. H. Picard, and A. L. Baggish, J. Am. Soc. Echocard. 24 (6), 687–692 (2011).
L. M. Scoutt and E. G. Grant, in ARRS Categorical Course, 99 (2009).
J. C. S. Cardoso, M. G. Ruano, and P. J. Fish, IEEE Trans. Biomed. Eng., 43 (12), 1176–1186 (1996).
C. A. C. Bastos, P. J. Fish, and F. Vaz, IEEE Trans. Ultrason., Ferroelect., Freq. Contr. 46 (5), 1201–1217 (1999).
P. J. Fish, Ultrasound Med. Biol. 17 (2), 147–155 (1991).
B. K. Novikov, O. V. Rudenko, and V.I. Timoshenko, Nonlinear Underwater Acoustics (New York, 1987).
E. A. Barannik, Acoust. Phys. 40 (2), 188–190 (1994).
E. A. Barannik, Acoust. Phys. 43 (4), 387–390 (1997).
E. A. Barannik, Ultrasonics 39 (4), 311–317 (2001).
I. V. Skresanova and E.A. Barannik, Ultrasonics 52 (5), 676–684 (2012).
A.G. Sveshnikov and A.N. Tikhonov, The Theory of Functions of a Complex Variable (Moscow: Mir, 1978) [in Russian].
S. L. Marple, Digital Spectral Analysis: With Applications (Prentice-Hall Series in Signal Processing, 1987).
C. A. C. Bastos, P. J. Fish, R. Steel, and F. Vaz, Ultrasonics 37 (9), 623–632 (2000).
D. Vilkomerson, S. Ricci, and P. Tortoli, IEEE Trans. Ultrason., Ferroelect., Freq. Contr. 60 (10), 2079–2088 (2013).
S. Ricci, R. Matera, and P. Tortoli, Ultrasonics 54 (7), 2006–2014 (2014).
J. M. Gardin, C. S. Burn, W. J. Childs, and W.L. Henry, Am. Heart. J. 107 (2), 310–319 (1984).
E. A. Barannik, A. A. Kulibaba, S. A. Girnyk, D. A. Tolstoluzhskiy, and I. V. Skresanova, J. Ultrasound Med. 31 (12), 1959–1972 (2012).
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Matchenko, O.S., Barannik, E.A. The effect of blood acceleration on the ultrasound power Doppler spectrum. Acoust. Phys. 63, 596–603 (2017). https://doi.org/10.1134/S1063771017050086
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DOI: https://doi.org/10.1134/S1063771017050086