Torsional Ultrasound Sensor Optimization for Soft Tissue Characterization

Torsion mechanical waves have the capability to characterize shear stiffness moduli of soft tissue. Under this hypothesis, a computational methodology is proposed to design and optimize a piezoelectrics-based transmitter and receiver to generate and measure the response of torsional ultrasonic waves. The procedure employed is divided into two steps: (i) a finite element method (FEM) is developed to obtain a transmitted and received waveform as well as a resonance frequency of a previous geometry validated with a semi-analytical simplified model and (ii) a probabilistic optimality criteria of the design based on inverse problem from the estimation of robust probability of detection (RPOD) to maximize the detection of the pathology defined in terms of changes of shear stiffness. This study collects different options of design in two separated models, in transmission and contact, respectively. The main contribution of this work describes a framework to establish such as forward, inverse and optimization procedures to choose a set of appropriate parameters of a transducer. This methodological framework may be generalizable for other different applications.

[1]  Haim H. Bau,et al.  AppliedMechanics 2-7-1989 Instrument for Simultaneous Measurement of Density and Viscosity , 1989 .

[2]  Margaret Lucas,et al.  Coupling and degenerating modes in longitudinal-torsional step horns. , 2012, Ultrasonics.

[3]  W. D. Jolly,et al.  Effects of variations in design parameters of ultrasonic transducers on performance characteristics , 1988 .

[4]  Guy Cloutier,et al.  Generation of remote adaptive torsional shear waves with an octagonal phased array to enhance displacements and reduce variability of shear wave speeds: comparison with quasi-plane shear wavefronts , 2015, Physics in medicine and biology.

[5]  K. Suzumori,et al.  Droplet generation using a torsional Langevin-type transducer and a micropore plate , 2009 .

[6]  Rafael Gallego,et al.  Identification of cracks and cavities using the topological sensitivity boundary integral equation , 2004 .

[7]  L. Lynnworth,et al.  Torsional ultrasonic waveguide sensor , 2010, 2010 IEEE International Ultrasonics Symposium.

[8]  T Hemsel,et al.  Piezoelectric transducer design via multiobjective optimization. , 2006, Ultrasonics.

[9]  T. Krouskop,et al.  Elastography: Ultrasonic estimation and imaging of the elastic properties of tissues , 1999, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[10]  M. Fink,et al.  Supersonic shear imaging: a new technique for soft tissue elasticity mapping , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[11]  G. Cloutier,et al.  Design of a phased array for the generation of adaptive radiation force along a path surrounding a breast lesion for dynamic ultrasound elastography imaging , 2013, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[12]  A. Ahluwalia,et al.  Sample, testing and analysis variables affecting liver mechanical properties: A review. , 2016, Acta biomaterialia.

[13]  T. Jiao,et al.  High Frequency Measurements of Viscoelastic Properties of Hydrogels for Vocal Fold Regeneration , 2009, Experimental mechanics.

[14]  Nicolas Bochud,et al.  Dispersive model selection and reconstruction for tissue culture ultrasonic monitoring , 2012 .

[15]  Erkki Heikkola,et al.  Model-based optimization of ultrasonic transducers. , 2005, Ultrasonics sonochemistry.

[16]  S. Y. Lee,et al.  Optimized damage detection of steel plates from noisy impact test , 2006 .

[17]  R. T. Lie,et al.  Long-Term Medical and Social Consequences of Preterm Birth , 2009 .

[18]  Weileun Fang,et al.  A rib-reinforced micro torsional mirror driven by electrostatic torque generators , 2003 .

[19]  Jin O. Kim,et al.  Vibration characteristics of piezoelectric torsional transducers , 2003 .

[20]  J. Thijssen,et al.  A calculation scheme for the optimum design of ultrasonic transducers , 1983 .

[21]  Yimin Wu,et al.  Development of novel ultrasonic transducers for microelectronics packaging , 2009 .

[22]  G. Cloutier,et al.  Ultrasound viscoelasticity assessment using an adaptive torsional shear wave propagation method. , 2016, Medical physics.

[23]  L. Råde,et al.  Mathematics handbook for science and engineering , 1995 .

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

[25]  L. Zubkov,et al.  Optimization of un-tethered, low voltage, 20-100kHz flexural transducers for biomedical ultrasonics applications. , 2012, Ultrasonics.

[26]  W. A. Verhoef,et al.  Optimization of ultrasonic transducers. , 1985, Ultrasonics.

[27]  Andreas Schröder,et al.  Evaluation of cost functions for FEA based transducer optimization , 2010 .

[28]  O. V. Murav’eva,et al.  Torsional waves excited by electromagnetic–acoustic transducers during guided-wave acoustic inspection of pipelines , 2016 .

[29]  Hegeon Kwun,et al.  Magnetostrictive generation and detection of longitudinal, torsional, and flexural waves in a steel rod , 1994 .

[30]  Han Ding,et al.  Modeling characterization and optimization design for PZT transducer used in Near Field Acoustic Levitation , 2011 .

[31]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[32]  G. Cloutier,et al.  Shear wave induced resonance elastography of spherical masses with polarized torsional waves. , 2012, Applied physics letters.

[33]  Hai-Dong Liang,et al.  Medical ultrasound: imaging of soft tissue strain and elasticity , 2011, Journal of The Royal Society Interface.

[34]  M Gissler,et al.  General obstetrics: Preterm birth and multiple pregnancy in European countries participating in the PERISTAT project , 2006, BJOG : an international journal of obstetrics and gynaecology.

[35]  S. Kumazawa,et al.  Parotid tumors: differentiation of benign and malignant tumors with quantitative sonographic analyses. , 2004, Ultrasound in medicine & biology.

[36]  Kaisa Miettinen,et al.  Multiobjective optimization of an ultrasonic transducer using NIMBUS. , 2006, Ultrasonics.

[37]  Guillermo Rus,et al.  Transient Elastography to Assess the Cervical Ripening during Pregnancy: A Preliminary Study , 2015, Ultraschall in der Medizin - European Journal of Ultrasound.

[38]  J. Melchor,et al.  Torsional ultrasonic transducer computational design optimization. , 2014, Ultrasonics.

[39]  Zhe Wu,et al.  Sonoelastographic imaging of interference patterns for estimation of the shear velocity of homogeneous biomaterials , 2004, Physics in medicine and biology.

[40]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[41]  Qiming Zhang,et al.  Torsional actuator based on mechanically amplified shear piezoelectric response , 2000 .

[42]  Shuyu Lin.  Study on the Langevin piezoelectric ceramic ultrasonic transducer of longitudinal-flexural composite vibrational mode. , 2006, Ultrasonics.

[43]  Manabu Aoyagi,et al.  Characteristics of a bolt-clamped torsional vibrator using shear-mode piezo-ceramics sandwiched in the axial direction , 1996 .

[44]  Aidan B. Zerdoum,et al.  Tissue engineering-based therapeutic strategies for vocal fold repair and regeneration. , 2016, Biomaterials.

[45]  M Castaings,et al.  Torsional waves propagation along a waveguide of arbitrary cross section immersed in a perfect fluid. , 2008, The Journal of the Acoustical Society of America.