A feasibility study for non-invasive thermometry using non-linear ultrasound

Purpose: High intensity focused ultrasound (HIFU) is used during hyperthermia cancer treatment to increase the tumour temperature. For an adequate and safe application it is important to measure the temperature in the heated region, preferably in a non-invasive manner and by the same modality as used for heating. The goal of this feasibility study is two-fold; first, it is investigated whether the acoustic non-linearity parameter B/A is most suitable for measuring temperature changes, second, a non-invasive thermometry method based on B/A is proposed and demonstrated. Material and methods: Water is used to confirm that B/A is a sensitive acoustic medium parameter that is practically applicable for non-invasive thermometry. Next, a thermometry method is proposed that employs the ratios between the fundamental and the higher harmonic frequency components of a non-linear acoustic wave. The method determines these ratios for a measured acoustic pulse that has traversed a certain medium, and compares these with temperature dependent reference ratios for the same medium. The method is demonstrated using simulated measurements of an acoustic plane wave propagating in glycerol. Results: Results obtained for water show that B/A is more sensitive for temperature changes than other practical acoustic parameters. For a combination of 16 simulated measurements, it is demonstrated that temperature can be predicted non-invasively with zero bias and a standard deviation of 2°C if the noise level does not exceed −40 dB. Conclusion: The suitability of B/A as a basis for non-invasive thermometry is confirmed, and a non-invasive thermometry method based on B/A is proposed and successfully demonstrated.

[1]  I. Rudnick On the Attenuation of Finite Amplitude Waves in a Liquid , 1958 .

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

[3]  Koen W A van Dongen,et al.  A full vectorial contrast source inversion scheme for three-dimensional acoustic imaging of both compressibility and density profiles. , 2007, The Journal of the Acoustical Society of America.

[4]  Jeffery H. Wootton,et al.  Optimisation-based thermal treatment planning for catheter-based ultrasound hyperthermia , 2010, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[5]  Yvette van Norden,et al.  Hyperthermia dose-effect relationship in 420 patients with cervical cancer treated with combined radiotherapy and hyperthermia. , 2009, European journal of cancer.

[6]  G. ter Haar High Intensity Focused Ultrasound for the Treatment of Tumors , 2001, Echocardiography.

[7]  N. Ichida,et al.  Real-Time Nonlinear Parameter Tomography Using Impulsive Pumping Waves , 1984, IEEE Transactions on Sonics and Ultrasonics.

[8]  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.

[9]  N. de Jong,et al.  Green's function method for modeling nonlinear three-dimensional pulsed acoustic fields in diagnostic ultrasound including tissue-like attenuation , 2008, 2008 IEEE Ultrasonics Symposium.

[10]  I. Rivens,et al.  The intensity dependence of the site of maximal energy deposition in focused ultrasound surgery. , 1996, Ultrasound in medicine & biology.

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

[12]  W. K. Law,et al.  UltrasOnic determination of the nonlinearity parameter B/A for biological media , 1981 .

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

[14]  G. Rosner,et al.  Hyperthermic treatment of malignant diseases: current status and a view toward the future. , 1997, Seminars in oncology.

[15]  S. S. Sekoyan,et al.  Pressure dependence of the sound velocity in distilled water , 1999 .

[16]  P. J. Westervelt Parametric Acoustic Array , 1963 .

[17]  P R Stauffer,et al.  Introduction: Thermal ablation therapy , 2004, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[18]  Keisuke Kameyama,et al.  Acoustical tissue nonlinearity characterization using bispectral analysis , 1996, Signal Process..

[19]  W. D. Wilson Speed of Sound in Distilled Water as a Function of Temperature and Pressure , 1959 .

[20]  G. Arcangeli,et al.  Hyperthermia as an adjuvant to radiation therapy of recurrent or metastatic malignant melanoma. A multicentre randomized trial by the European Society for Hyperthermic Oncology , 2009, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

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

[22]  George S. K. Wong,et al.  Erratum: Speed of sound in pure water as a function of temperature [J. Acoust. Soc. Am. 93, 1609–1612 (1993)] , 1996 .

[23]  R. Cleveland,et al.  FDTD simulation of finite-amplitude pressure and temperature fields for biomedical ultrasound. , 1999, The Journal of the Acoustical Society of America.

[24]  P. Meaney,et al.  The intensity dependence of lesion position shift during focused ultrasound surgery. , 2000, Ultrasound in medicine & biology.

[25]  J. Burgers A mathematical model illustrating the theory of turbulence , 1948 .

[26]  J. Greenleaf,et al.  Measurement of the acoustic nonlinearity parameter B/A in human tissues by a thermodynamic method. , 1984, The Journal of the Acoustical Society of America.

[27]  J. Trachtenberg,et al.  Interstitial microwave thermal therapy for prostate cancer: method of treatment and results of a phase I/II trial. , 2001, The Journal of urology.

[28]  Kullervo Hynynen,et al.  MR imaging-guided focused ultrasound surgery of uterine leiomyomas: a feasibility study. , 2003, Radiology.

[29]  William Small,et al.  Perez & Brady's Principles and Practice of Radiation Oncology , 2013 .

[30]  W. M. Haynes CRC Handbook of Chemistry and Physics , 1990 .

[31]  K. Hynynen Hyperthermia Classic Commentary: ‘A scanned, focused, multiple transducer ultrasonic system for localised hyperthermia treatments’, by K. Hynynen, R. Roemer, D. Anhalt, et al., International Journal of Hyperthermia 1987;3:21–35 , 2010, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[32]  A. Hart,et al.  Comparison of radiotherapy alone with radiotherapy plus hyperthermia in locally advanced pelvic tumours: a prospective, randomised, multicentre trial , 2000, The Lancet.

[33]  C. Cain,et al.  Ultrasonic reflection mode imaging of the nonlinear parameter B/A. II: Signal processing. , 1989, The Journal of the Acoustical Society of America.

[34]  F. Fry,et al.  Nonlinear Acoustic Behavior in Focused Ultrasonic Fields: Observations of Intensity Dependent Absorption in Biological Tissue , 1981, IEEE Transactions on Sonics and Ultrasonics.

[35]  L. Haumesser,et al.  Towards a simple acoustic method to evaluate the nonlinear parameter B/A of fluids , 2008, 2008 IEEE Ultrasonics Symposium.

[36]  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.

[37]  R J Myerson,et al.  Superficial hyperthermia and irradiation for recurrent breast carcinoma of the chest wall: prognostic factors in 196 tumors. , 1998, International journal of radiation oncology, biology, physics.

[38]  Gerard C. van Rhoon,et al.  Introduction: Non-invasive thermometry for thermotherapy , 2005, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[39]  P. Lambin,et al.  Combined use of hyperthermia and radiation therapy for treating locally advanced cervix carcinoma. , 2010, The Cochrane database of systematic reviews.

[40]  G. Holton Ultrasonic Propagation in Liquids under High Pressures: Velocity Measurements on Water , 1951 .

[41]  N. Ichida,et al.  Imaging the Nonlinear Ultrasonic Parameter of a Medium , 1983, Ultrasonic imaging.

[42]  N. de Jong,et al.  Attenuation of ultrasound pressure fields described via contrast source formulation , 2009, 2009 IEEE International Ultrasonics Symposium.

[43]  D Machin,et al.  Radiotherapy with or without hyperthermia in the treatment of superficial localized breast cancer: results from five randomized controlled trials. International Collaborative Hyperthermia Group. , 1996, International journal of radiation oncology, biology, physics.

[44]  D. DavidS.ShimmM. Perez and Brady's Principles and Practice of Radiation Oncology , 2008 .

[45]  E. Moros,et al.  Simultaneous superficial hyperthermia and external radiotherapy: report of thermal dosimetry and tolerance to treatment. , 1999, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[46]  Gail ter Haar,et al.  High Intensity Focused Ultrasound: Past, present and future , 2007, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[47]  G. Haar,et al.  High Intensity Focused Ultrasound for the Treatment of Tumors , 2001, Echocardiography.

[48]  Peter Wust,et al.  Neo-adjuvant chemotherapy alone or with regional hyperthermia for localised high-risk soft-tissue sarcoma: a randomised phase 3 multicentre study. , 2010, The Lancet. Oncology.

[49]  S. Aanonsen,et al.  Distortion and harmonic generation in the nearfield of a finite amplitude sound beam , 1984 .

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

[51]  S Daniels,et al.  Evidence for ultrasonically induced cavitation in vivo. , 1981, Physics in medicine and biology.

[52]  Constantin Coussios,et al.  High intensity focused ultrasound: Physical principles and devices , 2007, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[53]  M. Nakagawa,et al.  Nonlinear Parameter Imaging Computed Tomography by Parametric Acoustic Array , 1984 .

[54]  K. Hynynen,et al.  Feasibility of using ultrasound phased arrays for MRI monitored noninvasive surgery , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[55]  Claire McCann,et al.  Feasibility of salvage interstitial microwave thermal therapy for prostate carcinoma following failed brachytherapy: studies in a tissue equivalent phantom. , 2003, Physics in medicine and biology.

[56]  G. Holton,et al.  Calculation of B/A for Water from Measurements of Ultrasonic Velocity versus Temperature and Pressure to 10 000 kg/cm2 , 1967 .

[57]  Martine Franckena,et al.  Clinical implementation of hyperthermia treatment planning guided steering: A cross over trial to assess its current contribution to treatment quality , 2010, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

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

[59]  R. M. Arthur,et al.  Non-invasive estimation of hyperthermia temperatures with ultrasound , 2005, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[60]  J F Bakker,et al.  An ultrasound cylindrical phased array for deep heating in the breast: theoretical design using heterogeneous models , 2009, Physics in medicine and biology.