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Pulsed Focused Nonlinear Acoustic Fields from Clinically Relevant Therapeutic Sources in Layered Media: Experimental Data and Numerical Prediction Results

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Języki publikacji
EN
Abstrakty
EN
In many therapeutic applications of a pulsed focused ultrasound with various intensities the finite- amplitude acoustic waves propagate in water before penetrating into tissues and their local heating. Water is used as the matching, cooling and harmonics generating medium. In order to design ultrasonic probes for various therapeutic applications based on the local tissue heating induced in selected organs as well as to plan ultrasonic regimes of treatment a knowledge of pressure variations in pulsed focused nonlinear acoustic beams produced in layered media is necessary. The main objective of this work was to verify experimentally the applicability of the recently developed numerical model based on the Time- Averaged Wave Envelope (TAWE) approach (Wójcik et al., 2006) as an effective research tool for predicting the pulsed focused nonlinear fields produced in two-layer media comprising of water and tested materials (with attenuation arbitrarily dependent on frequency) by clinically relevant axially-symmetric therapeutic sources. First, the model was verified in water as a reference medium with known linear and nonlinear acoustic properties. The measurements in water were carried out at a 25.C temperature using a 2.25 MHz circular focused (f/3.0) transducer with an effective diameter of 29 mm. The measurement results obtained for 8-cycle tone bursts with three different initial pressure amplitudes varied between 37 kPa and 113 kPa were compared with the numerical predictions obtained for the source boundary condition parameters determined experimentally. The comparison of the experimental results with those simulated numerically has shown that the model based on the TAWE approach predicts well both the spatial-peak and spatial-spectral pressure variations in the pulsed focused nonlinear beams produced by the transducer used in water for all excitation levels complying with the condition corresponding to weak or moderate source-pressure levels. Quantitative analysis of the simulated nonlinear beams from circular transducers with ka ť 1 allowed to show that the axial distance at which sudden accretion of the 2nd or higher harmonics amplitude appears is specific for this transducer regardless of the excitation level providing weak to moderate nonlinear fields. For the transducer used, the axial distance at which the 2nd harmonics amplitude suddenly begins to grow was found to be equal to 60 mm. Then, the model was verified experimentally for two-layer parallel media comprising of a 60-mm water layer and a 60-mm layer of 1.3-butanediol (99%, Sigma-Aldrich Chemie GmbH, Steinheim, Germany). This medium was selected because of its tissue-mimicking acoustic properties and known nonlinearity parameter B/A. The measurements of both, the peak- and harmonic-pressure variations in the pulsed nonlinear acoustic beams produced in two-layer media (water/1.3-butanediol) were performed for the same source boundary conditions as in water. The measurement results were compared with those simulated numerically. The good agreement between the measured data and numerical calculations has shown that the model based on the TAWE approach is well suited to predict both the peak and harmonic pressure variations in the pulsed focused nonlinear sound beams produced in layered media by clinically relevant therapeutic sources. Finally, the pulsed focused nonlinear fields from the transducer used in two-layer media: water/castor oil, water/silicone oil (Dow Corning Ltd., Coventry, UK), water/human brain and water/pig liver were predicted for various values of the nonlinearity parameter of tested media.
Rocznik
Strony
269--278
Opis fizyczny
Bibliogr. 11 poz., tab., wykr.
Twórcy
autor
  • Department of Ultrasound, Institute of Fundamental Technological Research, Polish Academy of Sciences Pawińskiego 5B, 02-106 Warsaw, Poland, tkujaw@ippt.pan.pl
Bibliografia
  • 1. Baker A.C., Anastasiadis K., Humphrey V.F. (1988), The nonlinear pressure field of a plane circular piston: theory and experiment, J. Acoust. Soc. Am., 84, 1483-1487.
  • 2. Beyer R.T. (1997), The B/A parameter, [in:] Nonlinear acoustics, Hamilton M.F., Blackstock D.T. [Eds.], Academic Press, NY, pp. 25-37.
  • 3. Chavrier F., Lafon C., Birer A., Barriere C., Jacob X., Cathignol D. (2006), Determination of the nonlinear parameter by propagating and modeling finite amplitude plane waves, J. Acoust. Soc. Am., 119, 5, 2639-2644.
  • 4. Duck F.A. (1990), Physical Properties of Tissue, Academic Press, London.
  • 5. Kujawska T., Nowicki A., Lewin P.A. (2011a), Determination of nonlinear medium parameter B/A using model assisted variable-length measurement approach, Ultrasonics, 51, 997-1005.
  • 6. Kujawska T., Secomski W., Krawczyk K., Nowicki A. (2011b), Thermal effects induced in liver tissues by pulsed focused ultrasonic beams from annular array transducer, Archives of Acoustics, 36, 937-944.
  • 7. Kujawska T., Wójcik J., Nowicki A. (2011c), Determination of the B/A of biological media by measuring and modeling nonlinear distortion of pulsed acoustic wave in two-layer system of media, [in:] Acoustical Imaging, vol. 30, 295-303, M. Andre et al. [Eds.], Springer Science & Business Media B.V.
  • 8. Nachef S., Cathignol D., Tjotta J.N., Berg A.M., Tjotta S. (1995), Investigation of a high intensity sound beam from a plane transducer. Experimental and theoretical results, J. Acoust. Soc. Am., 98, 4, 2303-2323.
  • 9. National Physical Laboratory, Kaye&Laby, Tables of Physical & Chemical Constants, Medical Ultrasonics, http://www.kayelaby.npl.co.uk.
  • 10. Wójcik J., Nowicki A., Lewin P.A., Bloomfield P.E., Kujawska T., Filipczyński L. (2006), Wave envelopes method for description of nonlinear acoustic wave propagation, Ultrasonics, 44, 310-329.
  • 11. Wójcik J., Kujawska T., Nowicki A., Lewin P.A. (2008), Fast prediction of pulsed nonlinear acoustic fields from clinically relevant sources using Time-Averaged Wave Envelope approach: comparison of numerical simulations and experimental results, Ultrasonics, 48, 707-715.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0023-0003
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