Ultrasound coefficient of nonlinearity imaging

Imaging the acoustical coefficient of nonlinearity, β, is of interest in several healthcare interventional applications. It is an important feature that can be used for discriminating tissues. In this paper, we propose a nonlinearity characterization method with the goal of locally estimating the coefficient of nonlinearity. The proposed method is based on a 1-D solution of the nonlinear lossy Westerfelt equation, thereby deriving a local relation between β and the pressure wave field. Based on several assumptions, a β imaging method is then presented that is based on the ratio between the harmonic and fundamental fields, thereby reducing the effect of spatial amplitude variations of the speckle pattern. By testing the method on simulated ultrasound pressure fields and an in vitro B-mode ultrasound acquisition, we show that the designed algorithm is able to estimate the coefficient of nonlinearity, and that the tissue types of interest are well discriminable. The proposed imaging method provides a new approach to β estimation, not requiring a special measurement setup or transducer, that seems particularly promising for in vivo imaging.

[1]  X. Gong,et al.  Experimental investigation of the acoustic nonlinearity parameter tomography for excised pathological biological tissues. , 1999, Ultrasound in medicine & biology.

[2]  J. Huijssen Modeling of nonlinear medical diagnostic ultrasound , 2008 .

[3]  G. Farhat,et al.  Diagnostic ultrasound Imaging : Inside out , 2004 .

[4]  C. S. Gardner,et al.  Korteweg‐de Vries Equation and Generalizations. III. Derivation of the Korteweg‐de Vries Equation and Burgers Equation , 1969 .

[5]  D. Varberg,et al.  Calculus with Analytic Geometry , 1968 .

[6]  B. Lytle,et al.  Esophageal perforation during left atrial radiofrequency ablation: is the risk too high? , 2003, The Journal of thoracic and cardiovascular surgery.

[7]  C. Cain Ultrasonic reflection mode imaging of the nonlinear parameter B/A: I. A theoretical basis , 1986 .

[8]  O. Basset,et al.  Extensions of nonlinear B/A parameter imaging methods for echo mode , 2011, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[9]  A. Herment,et al.  Application of autoregressive spectral analysis for ultrasound attenuation estimation: interest in highly attenuating medium , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  H. Fukukita,et al.  Ultrasound thermometry in hyperthermia , 1990, IEEE Symposium on Ultrasonics.

[11]  J M Thijssen,et al.  A beam corrected estimation of the frequency dependent attenuation of biological tissues from backscattered ultrasound. , 1983, Ultrasonic imaging.

[12]  L. Demi,et al.  2.16 – Nonlinear Acoustics , 2014 .

[13]  Martin D. Verweij,et al.  Modeling three-dimensional nonlinear acoustic wave fields in media with spatially varying coefficient of nonlinearity, attenuation and speed of sound , 2012, 2012 IEEE International Ultrasonics Symposium.

[14]  H. Khelladi,et al.  Measurement under high pressure of the nonlinearity parameter B/A in glycerol at various temperatures. , 2009, Ultrasonics.

[15]  José Angel Cabrera,et al.  Anatomic Relations Between the Esophagus and Left Atrium and Relevance for Ablation of Atrial Fibrillation , 2005, Circulation.

[16]  Max A. Viergever,et al.  Scale and the differential structure of images , 1992, Image Vis. Comput..

[17]  R. Beyer Parameter of Nonlinearity in Fluids , 1959 .

[18]  井上 良紀,et al.  流体力学用語集 非線形音響学(Nonlinear acoustics) , 1995 .

[19]  T. Varghese,et al.  Attenuation estimation using spectral cross-correlation , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[20]  K W A van Dongen,et al.  A contrast source method for nonlinear acoustic wave fields in media with spatially inhomogeneous attenuation. , 2011, The Journal of the Acoustical Society of America.

[21]  K. V. Dongen,et al.  Sensitivity study of the acoustic nonlinearity parameter for measuring temperatures during High Intensity Focused Ultrasound treatment , 2008 .

[22]  Francis A. Duck,et al.  Physical properties of tissue : a comprehensive reference book , 1990 .

[23]  F. Duck Nonlinear acoustics in diagnostic ultrasound. , 2002, Ultrasound in medicine & biology.

[24]  X. Gong,et al.  Ultrasonic investigation of the nonlinearity parameter B/A in biological media , 1984 .

[25]  Prashanthan Sanders,et al.  Long‐term Outcomes of Catheter Ablation of Atrial Fibrillation: A Systematic Review and Meta‐analysis , 2013, Journal of the American Heart Association.

[26]  E. Madsen,et al.  Nonlinearity parameter for tissue-mimicking materials. , 1999, Ultrasound in medicine & biology.

[27]  P. Wells,et al.  Review: absorption and dispersion of ultrasound in biological tissue. , 1975, Ultrasound in medicine & biology.

[28]  A. Dallai,et al.  ULA-OP: an advanced open platform for ultrasound research , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[29]  W. K. Law,et al.  Determination of the nonlinearity parameter B/A of biological media. , 1985, Ultrasound in medicine & biology.

[30]  Olivier Basset,et al.  High frame rate compounding for nonlinear B/A parameter ultrasound imaging in echo mode — simulation results , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[31]  M. Verweij,et al.  An iterative method for the computation of nonlinear, wide-angle, pulsed acoustic fields of medical diagnostic transducers. , 2010, The Journal of the Acoustical Society of America.

[32]  J. Ruskin,et al.  Esophageal Injury and Temperature Monitoring During Atrial Fibrillation Ablation , 2008, Circulation. Arrhythmia and electrophysiology.