Biomechanical Imaging
“Biomechanical imaging” refers to in vivo, or in some cases in situ, imaging and measurement of mechanical property distributions in tissues. Doing so requires the measurement of material (tissue) displacement via imaging, the mathematical modeling of relevant tissue mechanics and deformation, and subsequent inference of mechanical properties through the solution of an appropriate inverse problem. The papers below describe some work relevant to each of these aspects.

Recent tutorial talk: Some math & mechanics of biomechanical imaging: current status and open questions, 2008 BIRS Workshop on Inverse Problems: Recent Progress and New Challenges.
Relevant papers on biomechanical imaging
  1. “Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity,” Uri Albocher, Assad A. Oberai, Paul E. Barbone, Isaac Harari. submitted to Computer Methods in Appl.\ Mech.\ and Eng, in review, submitted Oct 2008.
  2. “A review of the mathematical and computational foundations of biomechanical imaging,” Paul E. Barbone and Assad A. A. Oberai. invited chapter in Computational Methods in Biomechanics, Ed. Suvranu De, Springer, (in review) 2008.
  3. “Quantitative ultrasonic elastography for gel dosimetry,” Remo A Crescenti; Jeffrey C Bamber; Assad A Oberai; Paul E Barbone; Joseph P Richter; Carlos Rivas; Nigel L Bush; Steve Webb, Ultrasound in Medicine and Biology, submitted Oct. 2008.
  4. “Linear and Nonlinear elasticity imaging of soft tissue in-vivo: Demonstration of feasibility,” Assad A. Oberai, Nachiket H. Gokhale Sevan Goenezen, Paul E. Barbone, Timothy J. Hall, Amy M. Sommer, Jingfeng Jiang. Phys. Med. Biol., submitted August 2008.
  5. A stabilized B-splines FEM formulation for the solution of an inverse elasticity problem arising in medical imaging,” Carlos E. Rivas, Paul E. Barbone, and Assad A. Oberai. Proceedings of IMECE ASME International Mechanical Engineering Congress and Exposition October 31- November 6, 2008, Boston, MA, IMECE2008-66700, in press.
  6. “Adjoint-weighted variational formulation for the direct solution of plane stress inverse elasticity problems,” Paul E. Barbone, Carlos E. Rivas, Isaac Harari, Uri Albocher, Assad A. Oberai, Sevan Goenzen, to appear in Journal of Physics: Conference Series, 2008.
  7. “Divergence of finite element formulations for inverse problems treated as optimization problems,” Carlos Rivas, Paul E. Barbone, Assad A. Oberai, to appear in Journal of Physics: Conference Series, 2008.
  8. “Quantitative three dimensional elasticity imaging from quasi-static deformation: a phantom study” Michael S. Richards, Paul E. Barbone, and Assad A. Oberai, Phys. Med. Biol., in second review, Sept. 2008.
  9. “Solution of the non-linear elasticity imaging inverse problem: the compressible case,” Nachiket H. Gokhale, Assad A. Oberai, Paul E. Barbone, Inverse Problems, 24(4), August 2008.
  10. “The spatio-temporal strain response of oedematous and non-oedematous tissue to sustained compression in vivo,” Gearóid P. Berry, Jeffrey C. Bamber, Peter S. Mortimer, Nigel L. Bush, Naomi R. Miller, Paul E. Barbone. Ultrasound in Medicine and Biology, Volume 34, Issue 4, April 2008, Pages 617-629.
  11. “Adjoint weighted variational formulation for direct computational solution of an inverse heat conduction problem,” Paul E. Barbone, Assad A. Oberai, and Isaac Harari, Inverse Problems, 23, pp. 2325–2342, 2007.
  12. “The adjoint weighted equation for steady advection in a compressible fluid,” A. Oberai, P. E. Barbone, and I. Harari, Int. J. Num. Meth. in Fluids, 54:683–693, 2007.
  13. “Elastic modulus imaging: some exact solutions of the compressible elastography inverse problem,” Paul E Barbone and Assad A Oberai, Physics in Medicine and Biology, 52, pp. 1577–1593, 2007. Included in Highlights of 2007.
  14. “Imaging the Elastic Nonlinearity of Tissues,” Hall, T.; Oberai, A. A.; Barbone, P. E.; Sommer, A. M.; Gokhale, N. H.; Goenezen, S.; Jiang, J.; IEEE Ultrasonics Symposium, 2007. 28-31 Oct. 2007 pp:452-455.
  15. “Ultrasonic Elastography and Plane Strain Inverse Algorithms for Polymer Gel Dosimetry,” Crescenti, R. A.; Bamber, J. C.; Oberai, A. A.; Barbone, P. E.; Richter, J. P.; Bush, N. L.; Webb, S.; IEEE Ultrasonics Symposium, 2007. 28-31 Oct. 2007 pp:2025 - 2027.
  16. “Coupling between elastic strain and interstitial fluid flow: Ramifications for poroelastic imaging,” R Leiderman, PE Barbone, AA Oberai, JC Bamber. Physics in Medicine and Biology, 51 (24), pp. 6291-6313, 2006. Included in Highlights of 2006.
  17. “Towards an acoustic model-based poroelastic imaging method: II. Experimental investigation,” Gearóid P. Berry, Jeffrey C. Bamber, Naomi R. Miller, Paul E. Barbone, Nigel L. Bush, Cecil G. Armstrong Ultrasound in Medicine and Biology, 32(12), pp. 1869-1885, 2006.
  18. “Towards an acoustic model-based poroelastic imaging method: I. Theoretical foundation. GP Berry,” JC Bamber, CG Armstrong, NR Miller, PE Barbone. Ultrasound in Medicine and Biology, 32(4), pp. 547–567, 2006.
  19. “Elastic modulus imaging: on the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions,” Paul E. Barbone, Nachiket H. Gokhale, Inverse Problems, 20 (1): 283-296 Feb 2004.
  20. “Simultaneous Elastic Image Registration and Elastic Modulus Reconstruction,” Nachiket Gokhale, Mike Richards, Assad Oberai, Paul Barbone, and Marvin Doyley, Proceedings ISBI 2004: From Nano to Macro, IEEE 2nd International Symposium on Biomedical Imaging, 15-17 April 2004, Arlington VA. IEEE Press, 2004, pp. 543–546.
  21. “Quantitative Elasticity Imaging: What can and cannot be inferred from strain images,” Paul E. Barbone and Jeffrey C. Bamber, Physics in Medicine and Biology, 47(12), 2147–2164, June 2002.
  22. “Progress in Freehand Elastography of the Breast,” Jeffrey C. Bamber, Paul E. Barbone, Nigel L. Bush, David O. Cosgrove, Marvin M. Doyley, Frank G. Fuechsel, Paul M. Meaney, Naomi R. Miller, Tsuyoshi Shiina, and Francois Tranquart. IEICE Trans. Inf. & Syst., Vol. E85–D, No. 1, pp. 5–14, January 2002.
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