D. Mazumder, S. Umesh, R. M. Vasu, D. Roy, R. Kanhirodan, and S. Asokan, “Quantitative vibro-acoustography of tissue-like objects by measurement of resonant modes,” Phys. Med. Biol. 62, 107–126 (2017).

[Crossref]

D. Mazumder, R. M. Vasu, D. Roy, and R. Kanhirodan, “A remote temperature sensor for an ultrasound hyperthermia system using the acoustic signal derived from the heating signals,” Int. J. Hyperthermia 33, 1–10 (2017).

[Crossref]

M. Venugopal, R. M. Vasu, and D. Roy, “An ensemble Kushner-Stratonovich-Poisson filter for recursive estimation in nonlinear dynamical systems,” IEEE Trans. Autom. Control 61, 823–828 (2016).

[Crossref]

S. Sarkar, S. R. Chowdhury, D. Roy, and R. M. Vasu, “Internal noise-driven generalized Langevin equation from a nonlocal continuum model,” Phys. Rev. E 92, 022150 (2015).

[Crossref]

R. S. Chandran, S. Sarkar, R. Kanhirodan, D. Roy, and R. M. Vasu, “Diffusing-wave spectroscopy in an inhomogeneous object: local viscoelastic spectra from ultrasound-assisted measurement of correlation decay arising from the ultrasound focal volume,” Phys. Rev. E 90, 012303 (2014).

[Crossref]

S. Sarkar, S. Chowdhury, M. Venugopal, R. Vasu, and D. Roy, “A Kushner-Stratonovich Monte Carlo filter applied to nonlinear dynamical system identification,” Physica D 270, 46–59 (2014).

[Crossref]

F. G. Mitri and R. R. Kinnick, “Vibroacoustography imaging of kidney stones in vitro,” IEEE Trans. Biomed. Eng. 59, 248–254 (2012).

[Crossref]

C. Li, Z. Huang, and R. K. Wang, “Elastic properties of soft tissue-mimicking phantoms assessed by combined use of laser ultrasonics and low coherence interferometry,” Opt. Express 19, 10153–10163 (2011).

[Crossref]

R. S. Chandran, D. Roy, R. Kanhirodan, R. M. Vasu, and C. U. Devi, “Ultrasound modulated optical tomography: Young’s modulus of the insonified region from measurement of natural frequency of vibration,” Opt. Express 19, 22837–22850 (2011).

[Crossref]

T. Glozman and H. Azhari, “A method for characterization of tissue elastic properties combining ultrasonic computed tomography with elastography,” J. Ultrasound Med. 29, 387–398 (2010).

[Crossref]

J. Heikkilä, L. Curiel, and K. Hynynen, “Local harmonic motion monitoring of focused ultrasound surgery—a simulation model,” IEEE Trans. Biomed. Eng. 57, 185–193 (2010).

[Crossref]

B. Banerjee, D. Roy, and R. Vasu, “A pseudo-dynamic sub-optimal filter for elastography under static loading and measurements,” Phys. Med. Biol. 54, 285–305 (2009).

[Crossref]

D. M. Livings, S. L. Dance, and N. K. Nichols, “Unbiased ensemble square root filters,” Physica D 237, 1021–1028 (2008).

[Crossref]

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

J. C. Brigham, W. Aquino, F. G. Mitri, J. F. Greenleaf, and M. Fatemi, “Inverse estimation of visco-elastic material properties for solids immersed in fluidsusing vibro-acoustic techniques,” J. Appl. Phys. 101, 023509 (2007).

[Crossref]

X. Zhang, R. R. Kinnick, M. Fatemi, and J. F. Greenleaf, “Noninvasive method for estimation of complex elastic modulus of arterial vessels,” IEEE Trans. Ultrason. Ferroelect. Freq. Control 52, 642–652 (2005).

[Crossref]

R. Bandyopadhyay, A. Gittings, S. Suh, P. Dixon, and D. Durian, “Speckle-visibility spectroscopy: a tool to study time-varying dynamics,” Rev. Sci. Instrum. 76, 093110 (2005).

[Crossref]

B. J. Zadler, J. H. Le Rousseau, J. A. Scales, and M. L. Smith, “Resonant ultrasound spectroscopy: theory and application,” Geophys. J. Int. 156, 154–169 (2004).

[Crossref]

E. Konofagou, M. Ottensmeyer, S. Agabian, S. Dawson, and K. Hynynen, “Estimating localized oscillatory tissue motion for assessment of the underlying mechanical modulus,” Ultrasonics 42, 951–956 (2004).

[Crossref]

E. E. Konofagou and K. Hynynen, “Localized harmonic motion imaging: theory, simulations and experiments,” Ultrasound Med. Biol. 29, 1405–1413 (2003).

[Crossref]

M. K. Tippett, J. L. Anderson, C. H. Bishop, T. M. Hamill, and J. S. Whitaker, “Ensemble square root filters,” Mon. Weather Rev. 131, 1485–1490 (2003).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

E. Barannik, A. Girnyk, V. Tovstiak, A. Marusenko, S. Emelianov, and A. Sarvazyan, “Doppler ultrasound detection of shear waves remotely induced in tissue phantoms and tissue in vitro,” Ultrasonics 40, 849–852 (2002).

[Crossref]

K. Nightingale, M. S. Soo, R. Nightingale, and G. Trahey, “Acoustic radiation force impulse imaging: in vivo demonstration of clinical feasibility,” Ultrasound Med. Biol. 28, 227–235 (2002).

[Crossref]

F. Scheffold, S. Skipetrov, S. Romer, and P. Schurtenberger, “Diffusing-wave spectroscopy of nonergodic media,” Phys. Rev. E 63, 061404 (2001).

[Crossref]

S. Romer, F. Scheffold, and P. Schurtenberger, “Sol-gel transition of concentrated colloidal suspensions,” Phys. Rev. Lett. 85, 4980–4983 (2000).

[Crossref]

M. Fatemi and J. F. Greenleaf, “Vibro-acoustography: an imaging modality based on ultrasound-stimulated acoustic emission,” Proc. Natl. Acad. Sci. USA 96, 6603–6608 (1999).

[Crossref]

M. Fatemi and J. F. Greenleaf, “Ultrasound-stimulated vibro-acoustic spectrography,” Science 280, 82–85 (1998).

[Crossref]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[Crossref]

G. Maret, “Diffusing-wave spectroscopy,” Curr. Opin. Colloid Interface Sci. 2, 251–257 (1997).

[Crossref]

N. Menon and D. J. Durian, “Diffusing-wave spectroscopy of dynamics in a three-dimensional granular flow,” Science 275, 1920–1922 (1997).

[Crossref]

W. M. Visscher, A. Migliori, T. M. Bell, and R. A. Reinert, “On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects,” J. Acoust. Soc. Am. 90, 2154–2162 (1991).

[Crossref]

R. Zwanzig, “Nonlinear generalized Langevin equations,” J. Stat. Phys. 9, 215–220 (1973).

[Crossref]

M. Priestley, “Power spectral analysis of non-stationary random processes,” J. Sound Vibration 6, 86–97 (1967).

[Crossref]

E. Konofagou, M. Ottensmeyer, S. Agabian, S. Dawson, and K. Hynynen, “Estimating localized oscillatory tissue motion for assessment of the underlying mechanical modulus,” Ultrasonics 42, 951–956 (2004).

[Crossref]

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

A. Alizad, J. Greenleaf, and M. Fatemi, “Selected applications of dynamic radiation force of ultrasound in biomedicine,” in 11th Mediterranean Conference on Medical and Biomedical Engineering and Computing (Springer, 2007), pp. 1021–1024.

M. K. Tippett, J. L. Anderson, C. H. Bishop, T. M. Hamill, and J. S. Whitaker, “Ensemble square root filters,” Mon. Weather Rev. 131, 1485–1490 (2003).

[Crossref]

J. C. Brigham, W. Aquino, F. G. Mitri, J. F. Greenleaf, and M. Fatemi, “Inverse estimation of visco-elastic material properties for solids immersed in fluidsusing vibro-acoustic techniques,” J. Appl. Phys. 101, 023509 (2007).

[Crossref]

D. Mazumder, S. Umesh, R. M. Vasu, D. Roy, R. Kanhirodan, and S. Asokan, “Quantitative vibro-acoustography of tissue-like objects by measurement of resonant modes,” Phys. Med. Biol. 62, 107–126 (2017).

[Crossref]

T. Glozman and H. Azhari, “A method for characterization of tissue elastic properties combining ultrasonic computed tomography with elastography,” J. Ultrasound Med. 29, 387–398 (2010).

[Crossref]

R. Bandyopadhyay, A. Gittings, S. Suh, P. Dixon, and D. Durian, “Speckle-visibility spectroscopy: a tool to study time-varying dynamics,” Rev. Sci. Instrum. 76, 093110 (2005).

[Crossref]

B. Banerjee, D. Roy, and R. Vasu, “A pseudo-dynamic sub-optimal filter for elastography under static loading and measurements,” Phys. Med. Biol. 54, 285–305 (2009).

[Crossref]

E. Barannik, A. Girnyk, V. Tovstiak, A. Marusenko, S. Emelianov, and A. Sarvazyan, “Doppler ultrasound detection of shear waves remotely induced in tissue phantoms and tissue in vitro,” Ultrasonics 40, 849–852 (2002).

[Crossref]

W. M. Visscher, A. Migliori, T. M. Bell, and R. A. Reinert, “On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects,” J. Acoust. Soc. Am. 90, 2154–2162 (1991).

[Crossref]

M. K. Tippett, J. L. Anderson, C. H. Bishop, T. M. Hamill, and J. S. Whitaker, “Ensemble square root filters,” Mon. Weather Rev. 131, 1485–1490 (2003).

[Crossref]

J. C. Brigham, W. Aquino, F. G. Mitri, J. F. Greenleaf, and M. Fatemi, “Inverse estimation of visco-elastic material properties for solids immersed in fluidsusing vibro-acoustic techniques,” J. Appl. Phys. 101, 023509 (2007).

[Crossref]

R. S. Chandran, S. Sarkar, R. Kanhirodan, D. Roy, and R. M. Vasu, “Diffusing-wave spectroscopy in an inhomogeneous object: local viscoelastic spectra from ultrasound-assisted measurement of correlation decay arising from the ultrasound focal volume,” Phys. Rev. E 90, 012303 (2014).

[Crossref]

R. S. Chandran, D. Roy, R. Kanhirodan, R. M. Vasu, and C. U. Devi, “Ultrasound modulated optical tomography: Young’s modulus of the insonified region from measurement of natural frequency of vibration,” Opt. Express 19, 22837–22850 (2011).

[Crossref]

S. Sarkar, S. Chowdhury, M. Venugopal, R. Vasu, and D. Roy, “A Kushner-Stratonovich Monte Carlo filter applied to nonlinear dynamical system identification,” Physica D 270, 46–59 (2014).

[Crossref]

S. Sarkar, S. R. Chowdhury, D. Roy, and R. M. Vasu, “Internal noise-driven generalized Langevin equation from a nonlocal continuum model,” Phys. Rev. E 92, 022150 (2015).

[Crossref]

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[Crossref]

J. Heikkilä, L. Curiel, and K. Hynynen, “Local harmonic motion monitoring of focused ultrasound surgery—a simulation model,” IEEE Trans. Biomed. Eng. 57, 185–193 (2010).

[Crossref]

D. M. Livings, S. L. Dance, and N. K. Nichols, “Unbiased ensemble square root filters,” Physica D 237, 1021–1028 (2008).

[Crossref]

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

E. Konofagou, M. Ottensmeyer, S. Agabian, S. Dawson, and K. Hynynen, “Estimating localized oscillatory tissue motion for assessment of the underlying mechanical modulus,” Ultrasonics 42, 951–956 (2004).

[Crossref]

R. Bandyopadhyay, A. Gittings, S. Suh, P. Dixon, and D. Durian, “Speckle-visibility spectroscopy: a tool to study time-varying dynamics,” Rev. Sci. Instrum. 76, 093110 (2005).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

R. Bandyopadhyay, A. Gittings, S. Suh, P. Dixon, and D. Durian, “Speckle-visibility spectroscopy: a tool to study time-varying dynamics,” Rev. Sci. Instrum. 76, 093110 (2005).

[Crossref]

N. Menon and D. J. Durian, “Diffusing-wave spectroscopy of dynamics in a three-dimensional granular flow,” Science 275, 1920–1922 (1997).

[Crossref]

E. Barannik, A. Girnyk, V. Tovstiak, A. Marusenko, S. Emelianov, and A. Sarvazyan, “Doppler ultrasound detection of shear waves remotely induced in tissue phantoms and tissue in vitro,” Ultrasonics 40, 849–852 (2002).

[Crossref]

A. Eringen, Continuum Physics, Volume 4: Polar and Nonlocal Field Theories (Academic, 1976), p. 288.

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

J. C. Brigham, W. Aquino, F. G. Mitri, J. F. Greenleaf, and M. Fatemi, “Inverse estimation of visco-elastic material properties for solids immersed in fluidsusing vibro-acoustic techniques,” J. Appl. Phys. 101, 023509 (2007).

[Crossref]

X. Zhang, R. R. Kinnick, M. Fatemi, and J. F. Greenleaf, “Noninvasive method for estimation of complex elastic modulus of arterial vessels,” IEEE Trans. Ultrason. Ferroelect. Freq. Control 52, 642–652 (2005).

[Crossref]

M. Fatemi and J. F. Greenleaf, “Vibro-acoustography: an imaging modality based on ultrasound-stimulated acoustic emission,” Proc. Natl. Acad. Sci. USA 96, 6603–6608 (1999).

[Crossref]

M. Fatemi and J. F. Greenleaf, “Ultrasound-stimulated vibro-acoustic spectrography,” Science 280, 82–85 (1998).

[Crossref]

A. Alizad, J. Greenleaf, and M. Fatemi, “Selected applications of dynamic radiation force of ultrasound in biomedicine,” in 11th Mediterranean Conference on Medical and Biomedical Engineering and Computing (Springer, 2007), pp. 1021–1024.

E. Barannik, A. Girnyk, V. Tovstiak, A. Marusenko, S. Emelianov, and A. Sarvazyan, “Doppler ultrasound detection of shear waves remotely induced in tissue phantoms and tissue in vitro,” Ultrasonics 40, 849–852 (2002).

[Crossref]

R. Bandyopadhyay, A. Gittings, S. Suh, P. Dixon, and D. Durian, “Speckle-visibility spectroscopy: a tool to study time-varying dynamics,” Rev. Sci. Instrum. 76, 093110 (2005).

[Crossref]

T. Glozman and H. Azhari, “A method for characterization of tissue elastic properties combining ultrasonic computed tomography with elastography,” J. Ultrasound Med. 29, 387–398 (2010).

[Crossref]

A. Alizad, J. Greenleaf, and M. Fatemi, “Selected applications of dynamic radiation force of ultrasound in biomedicine,” in 11th Mediterranean Conference on Medical and Biomedical Engineering and Computing (Springer, 2007), pp. 1021–1024.

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

J. C. Brigham, W. Aquino, F. G. Mitri, J. F. Greenleaf, and M. Fatemi, “Inverse estimation of visco-elastic material properties for solids immersed in fluidsusing vibro-acoustic techniques,” J. Appl. Phys. 101, 023509 (2007).

[Crossref]

X. Zhang, R. R. Kinnick, M. Fatemi, and J. F. Greenleaf, “Noninvasive method for estimation of complex elastic modulus of arterial vessels,” IEEE Trans. Ultrason. Ferroelect. Freq. Control 52, 642–652 (2005).

[Crossref]

M. Fatemi and J. F. Greenleaf, “Vibro-acoustography: an imaging modality based on ultrasound-stimulated acoustic emission,” Proc. Natl. Acad. Sci. USA 96, 6603–6608 (1999).

[Crossref]

M. Fatemi and J. F. Greenleaf, “Ultrasound-stimulated vibro-acoustic spectrography,” Science 280, 82–85 (1998).

[Crossref]

M. K. Tippett, J. L. Anderson, C. H. Bishop, T. M. Hamill, and J. S. Whitaker, “Ensemble square root filters,” Mon. Weather Rev. 131, 1485–1490 (2003).

[Crossref]

J. Heikkilä, L. Curiel, and K. Hynynen, “Local harmonic motion monitoring of focused ultrasound surgery—a simulation model,” IEEE Trans. Biomed. Eng. 57, 185–193 (2010).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

J. Heikkilä, L. Curiel, and K. Hynynen, “Local harmonic motion monitoring of focused ultrasound surgery—a simulation model,” IEEE Trans. Biomed. Eng. 57, 185–193 (2010).

[Crossref]

E. Konofagou, M. Ottensmeyer, S. Agabian, S. Dawson, and K. Hynynen, “Estimating localized oscillatory tissue motion for assessment of the underlying mechanical modulus,” Ultrasonics 42, 951–956 (2004).

[Crossref]

E. E. Konofagou and K. Hynynen, “Localized harmonic motion imaging: theory, simulations and experiments,” Ultrasound Med. Biol. 29, 1405–1413 (2003).

[Crossref]

R. M. Jones, Mechanics of Composite Materials (Scripta, 1975), Vol. 193.

D. Mazumder, R. M. Vasu, D. Roy, and R. Kanhirodan, “A remote temperature sensor for an ultrasound hyperthermia system using the acoustic signal derived from the heating signals,” Int. J. Hyperthermia 33, 1–10 (2017).

[Crossref]

D. Mazumder, S. Umesh, R. M. Vasu, D. Roy, R. Kanhirodan, and S. Asokan, “Quantitative vibro-acoustography of tissue-like objects by measurement of resonant modes,” Phys. Med. Biol. 62, 107–126 (2017).

[Crossref]

R. S. Chandran, S. Sarkar, R. Kanhirodan, D. Roy, and R. M. Vasu, “Diffusing-wave spectroscopy in an inhomogeneous object: local viscoelastic spectra from ultrasound-assisted measurement of correlation decay arising from the ultrasound focal volume,” Phys. Rev. E 90, 012303 (2014).

[Crossref]

R. S. Chandran, D. Roy, R. Kanhirodan, R. M. Vasu, and C. U. Devi, “Ultrasound modulated optical tomography: Young’s modulus of the insonified region from measurement of natural frequency of vibration,” Opt. Express 19, 22837–22850 (2011).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

F. G. Mitri and R. R. Kinnick, “Vibroacoustography imaging of kidney stones in vitro,” IEEE Trans. Biomed. Eng. 59, 248–254 (2012).

[Crossref]

X. Zhang, R. R. Kinnick, M. Fatemi, and J. F. Greenleaf, “Noninvasive method for estimation of complex elastic modulus of arterial vessels,” IEEE Trans. Ultrason. Ferroelect. Freq. Control 52, 642–652 (2005).

[Crossref]

E. Konofagou, M. Ottensmeyer, S. Agabian, S. Dawson, and K. Hynynen, “Estimating localized oscillatory tissue motion for assessment of the underlying mechanical modulus,” Ultrasonics 42, 951–956 (2004).

[Crossref]

E. E. Konofagou and K. Hynynen, “Localized harmonic motion imaging: theory, simulations and experiments,” Ultrasound Med. Biol. 29, 1405–1413 (2003).

[Crossref]

B. J. Zadler, J. H. Le Rousseau, J. A. Scales, and M. L. Smith, “Resonant ultrasound spectroscopy: theory and application,” Geophys. J. Int. 156, 154–169 (2004).

[Crossref]

D. M. Livings, S. L. Dance, and N. K. Nichols, “Unbiased ensemble square root filters,” Physica D 237, 1021–1028 (2008).

[Crossref]

G. Maret, “Diffusing-wave spectroscopy,” Curr. Opin. Colloid Interface Sci. 2, 251–257 (1997).

[Crossref]

E. Barannik, A. Girnyk, V. Tovstiak, A. Marusenko, S. Emelianov, and A. Sarvazyan, “Doppler ultrasound detection of shear waves remotely induced in tissue phantoms and tissue in vitro,” Ultrasonics 40, 849–852 (2002).

[Crossref]

D. Mazumder, S. Umesh, R. M. Vasu, D. Roy, R. Kanhirodan, and S. Asokan, “Quantitative vibro-acoustography of tissue-like objects by measurement of resonant modes,” Phys. Med. Biol. 62, 107–126 (2017).

[Crossref]

D. Mazumder, R. M. Vasu, D. Roy, and R. Kanhirodan, “A remote temperature sensor for an ultrasound hyperthermia system using the acoustic signal derived from the heating signals,” Int. J. Hyperthermia 33, 1–10 (2017).

[Crossref]

N. Menon and D. J. Durian, “Diffusing-wave spectroscopy of dynamics in a three-dimensional granular flow,” Science 275, 1920–1922 (1997).

[Crossref]

W. M. Visscher, A. Migliori, T. M. Bell, and R. A. Reinert, “On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects,” J. Acoust. Soc. Am. 90, 2154–2162 (1991).

[Crossref]

F. G. Mitri and R. R. Kinnick, “Vibroacoustography imaging of kidney stones in vitro,” IEEE Trans. Biomed. Eng. 59, 248–254 (2012).

[Crossref]

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

J. C. Brigham, W. Aquino, F. G. Mitri, J. F. Greenleaf, and M. Fatemi, “Inverse estimation of visco-elastic material properties for solids immersed in fluidsusing vibro-acoustic techniques,” J. Appl. Phys. 101, 023509 (2007).

[Crossref]

F. G. Mitri, B. J. Davis, A. Alizad, J. F. Greenleaf, T. M. Wilson, L. A. Mynderse, and M. Fatemi, “Prostate cryotherapy monitoring using vibroacoustography: preliminary results of an ex vivo study and technical feasibility,” IEEE Trans. Biomed. Eng. 55, 2584–2592 (2008).

[Crossref]

D. M. Livings, S. L. Dance, and N. K. Nichols, “Unbiased ensemble square root filters,” Physica D 237, 1021–1028 (2008).

[Crossref]

K. Nightingale, M. S. Soo, R. Nightingale, and G. Trahey, “Acoustic radiation force impulse imaging: in vivo demonstration of clinical feasibility,” Ultrasound Med. Biol. 28, 227–235 (2002).

[Crossref]

K. Nightingale, M. S. Soo, R. Nightingale, and G. Trahey, “Acoustic radiation force impulse imaging: in vivo demonstration of clinical feasibility,” Ultrasound Med. Biol. 28, 227–235 (2002).

[Crossref]

E. Konofagou, M. Ottensmeyer, S. Agabian, S. Dawson, and K. Hynynen, “Estimating localized oscillatory tissue motion for assessment of the underlying mechanical modulus,” Ultrasonics 42, 951–956 (2004).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

R. Cubeddu, A. Pifferi, P. Taroni, A. Torricelli, and G. Valentini, “A solid tissue phantom for photon migration studies,” Phys. Med. Biol. 42, 1971–1979 (1997).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

M. Priestley, “Power spectral analysis of non-stationary random processes,” J. Sound Vibration 6, 86–97 (1967).

[Crossref]

J. Weaver, M. Doyley, E. Van Houten, M. Hood, X. Qin, F. Kennedy, S. Poplack, and K. Paulsen, “Evidence of the anisotropic nature of the mechanical properties of breast tissue,” Med. Phys. 29, 1291 (2002).

D. Roy and G. V. Rao, Stochastic Dynamics, Filtering and Optimization (Cambridge University, 2017).

W. M. Visscher, A. Migliori, T. M. Bell, and R. A. Reinert, “On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects,” J. Acoust. Soc. Am. 90, 2154–2162 (1991).

[Crossref]

F. Scheffold, S. Skipetrov, S. Romer, and P. Schurtenberger, “Diffusing-wave spectroscopy of nonergodic media,” Phys. Rev. E 63, 061404 (2001).

[Crossref]

S. Romer, F. Scheffold, and P. Schurtenberger, “Sol-gel transition of concentrated colloidal suspensions,” Phys. Rev. Lett. 85, 4980–4983 (2000).

[Crossref]

D. Mazumder, S. Umesh, R. M. Vasu, D. Roy, R. Kanhirodan, and S. Asokan, “Quantitative vibro-acoustography of tissue-like objects by measurement of resonant modes,” Phys. Med. Biol. 62, 107–126 (2017).

[Crossref]

D. Mazumder, R. M. Vasu, D. Roy, and R. Kanhirodan, “A remote temperature sensor for an ultrasound hyperthermia system using the acoustic signal derived from the heating signals,” Int. J. Hyperthermia 33, 1–10 (2017).

[Crossref]

M. Venugopal, R. M. Vasu, and D. Roy, “An ensemble Kushner-Stratonovich-Poisson filter for recursive estimation in nonlinear dynamical systems,” IEEE Trans. Autom. Control 61, 823–828 (2016).

[Crossref]

S. Sarkar, S. R. Chowdhury, D. Roy, and R. M. Vasu, “Internal noise-driven generalized Langevin equation from a nonlocal continuum model,” Phys. Rev. E 92, 022150 (2015).

[Crossref]

R. S. Chandran, S. Sarkar, R. Kanhirodan, D. Roy, and R. M. Vasu, “Diffusing-wave spectroscopy in an inhomogeneous object: local viscoelastic spectra from ultrasound-assisted measurement of correlation decay arising from the ultrasound focal volume,” Phys. Rev. E 90, 012303 (2014).

[Crossref]

S. Sarkar, S. Chowdhury, M. Venugopal, R. Vasu, and D. Roy, “A Kushner-Stratonovich Monte Carlo filter applied to nonlinear dynamical system identification,” Physica D 270, 46–59 (2014).

[Crossref]

R. S. Chandran, D. Roy, R. Kanhirodan, R. M. Vasu, and C. U. Devi, “Ultrasound modulated optical tomography: Young’s modulus of the insonified region from measurement of natural frequency of vibration,” Opt. Express 19, 22837–22850 (2011).

[Crossref]

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Correlator, http://www.correlator.com , Bridgewater, New Jersey.