Towards an acoustic model-based poroelastic imaging method: I. Theoretical Foundation

Ultrasound in Medicine and Biology

Volumn 32, Issue 4, 2006, Pages 547-567

  Berry, Gearóid P ^a   Bamber, Jeffrey C ^a   Armstrong, Cecil G ^b   Miller, Naomi R ^a   Barbone, Paul E ^c  

^a INSTITUTE OF CANCER RESEARCH   (United Kingdom)

^b QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^c BOSTON UNIVERSITY   (United States)

Author keywords

Analytical; Biphasic; Cancer; Cartilage; Elastography; Finite element; Oedema; Permeability; Poisson's ratio; Poroelastic; Poroelastography; Porosity; Strain; Stress relaxation; Ultrasound; Young's modulus

Indexed keywords

CARTILAGE; DISEASES; ELASTIC MODULI; ELASTICITY; FINITE ELEMENT METHOD; IMAGING SYSTEMS; POISSON RATIO; STRESS RELAXATION; TISSUE; ULTRASONICS;

ANALYTICAL; BIPHASIC; ELASTOGRAPHY; OEDEMA; POROELASTIC; POROELASTOGRAPHY;

MEDICAL IMAGING;

ANALYTIC METHOD; ARTICLE; COMPARATIVE STUDY; CONCEPTUAL FRAMEWORK; ELASTICITY; ELASTOGRAPHY; IMAGE ANALYSIS; IMAGE DISPLAY; METHODOLOGY; POISSON DISTRIBUTION; PRIORITY JOURNAL; SIMULATION; THEORETICAL MODEL; ULTRASOUND; VALIDATION PROCESS;

ACOUSTICS; ALGORITHMS; CONNECTIVE TISSUE; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, BIOLOGICAL; PERMEABILITY; RHEOLOGY; STRESS, MECHANICAL; ULTRASONOGRAPHY;

EID: 33645979068     PISSN: 03015629     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultrasmedbio.2006.01.003     Document Type: Article

References (49)

1. Armstrong C.G., Lai W.M., and Mow V.C. An analysis of the unconfined compression of articular cartilage. J Biomech Eng 106 (1984) 165-173
2. Atkins G.L. Multicompartment models for biological systems (1969), Methuen and Co. Ltd, London, United Kingdom
3. Barbone P.E., and Bamber J.C. Quantitative elasticity images. What can and cannot be inferred from strain images. Phys Med Biol 47 (2002) 2147-2164
4. Bear J. Dynamics of fluids in porous media (1988), Dover Publications, New York
5. Berry G.P., Bamber J.C., Armstrong C., and Miller N.R. Towards a model-based poroelastic imaging method (2004) 96 Proceedings of the Third International Conference on the ultrasonic measurement and imaging of tissue elasticity. October 17-20, Cumbria, UK
6. Berry G.P., Bamber J.C., Armstrong C., and Miller N.R. Ultrasonic strain-based imaging of tissue permeability and mobile fluid volume. Ultrasound 12 4 (2004) 232
7. Biot M.A. General theory of three-dimensional consolidation. J Applied Physics 12 (1941) 155-164
8. Biot M.A. Mechanics of deformation and acoustic propagation in porous media. J Applied Physics 33 4 (1962) 1482-1498
9. Boas M.L. Mathematical methods in the physical sciences. 2nd ed. (1983), Wiley, New York
10. Bowles J.E. Engineering properties of soils and their measurements (1992), McGraw Hill, New York
11. Brady B.H.G., and Brown E.T. Rock mechanics for underground mining (1985), Allen and Unwin Ltd, Melbourne, Victoria, Australia
12. Dickinson R.J., and Hill C.R. Analysis of tissue and organ dynamics. In: Hill C.R., and Alvisi C. (Eds). Investigative ultrasonology 1. Technical advances (1980), Pitman Medical, Tunbridge Wells, Kent, England 110-114
13. Dixon J.M., and Mensel R.E. ABC of breast diseases. Symptoms, assessment and guidelines for referral. BMJ 309 (1994) 722-726
14. Doyley M.M., Meaney P.M., and Bamber J.C. Evaluation of an iterative reconstruction method for quantitative elastography. Phys Med Biol 45 (2000) 1521-1540
15. Duck F.A. Physical properties of tissue. A comprehensive reference book (1990), Academic Press Ltd, London, UK
16. Folkman J. Clinical applications of research on angiogenesis. N Engl J Med 333 26 (1995) 1757-1763
17. Fortin M., Buschmann M.D., Bertrand M.J., Foster S., and Ophir J. Dynamic measurement of internal solid displacement in articular cartilage using ultrasound backscatter. J Biomechanics 36 (2003) 443-447
18. Fung Y.C. Biomechanics. Mechanical properties of living tissues. 2nd ed. (1993), Springer-Verlag, Inc, New York
19. Harrison T.R. Principles of internal medicine, Vol II. 12th ed. (1991) (ed-in-chief)
20. Hibbitt, Karlsson and Sorensen, Inc. ABAQUS Theory Manual (Version 6.3) (2003)
21. Jaeger J.C., and Cook N.G.W. Fundamentals of rock mechanics. 2nd ed. (1976), John Wiley, New York
22. Jain R.K. Barriers to drug delivery in solid tumors. Scientific American (1994) 42-49
23. Kallel F., and Bertrand M. Tissue elasticity reconstruction using linear perturbation method. IEEE Trans Med Imag 15 (1996) 299-313
24. Konofagou E., and Ophir J. A new elastographic method for estimation and imaging of lateral displacements, lateral strains, corrected axial strains, and Poisson's ratio in tissues. Ultrasound Med Biol 24 (1998) 1183-1199
25. Konofagou E., Harrigan T.P., Ophir J., and Krouskop T.A. Poroelastography. Imaging the poroelastic properties of tissues. Ultrasound Med Biol 27 10 (2001) 1387-1397
26. Kuszyk B.S., Corl F.M., Franano F.N., et al. Tumour transport physiology. Implications for imaging and image-guided therapy. Am J Roentgen 177 (2001) 747-753
27. Lakes R.S. Viscoelastic solids (1998), CRC Press, Boca Raton, FL
28. Lanczos C. Applied analysis (1957), Sir Isaac Pitman and Sons Ltd, London, UK
29. Leach M.O. Application of magnetic resonance imaging to angiogenesis in breast cancer. Breast Cancer Res 3 (2001) 22-27
30. Levick J.R. An Introduction to cardiovascular physiology. 4th ed. (2003), Arnold Publishers, London
31. Moseley A., Piller N., and Carati C. Combined opto-electronic perometry and bioimpedance to measure objectively the effectiveness of a new treatment intervention for chronic secondary leg lymphedema. Lymphology 35 (2002) 136-143
32. Mow V.C., Holmes M.H., and Lai W.M. Fluid Transport and mechanical properties of articular cartilage. A review. J Biomechanics 17 5 (1984) 377-394
33. Mow V.C., Kuei S.C., Lai W.M., and Armstrong C.G. Biphasic creep and stress relaxation of articular cartilage in compression. theory and experiments. J Biomech Eng 102 (1980) 73-84
34. Mow V.C., and Lai W.M. Recent developments in synovial joint biomechanics. SIAM Review 22 (1980) 275-317
35. In: Mow V.C., Ratcliffe A., and Woo S.L.Y. (Eds). Biomechanics of Diarthrodial Joints, Vol I (1990), Springer Verlag, New York
36. Netti P.A., Baxter L.T., Boucher Y., Skalak R., and Jain R.K. Macro- and microscopic fluid transport in living tissues. Application to solid tumours. American Institute of Chemical Engineers Journal 43 3 (1997) 818-834
37. Oberai A.A., Gokhale N.H., Doyley M.M., and Bamber J.C. Evaluation of the adjoint equation based algorithm for elasticity imaging. Phys Med Biol 49 (2004) 2955-2974
38. Ophir J., Cespedes E.I., Ponnekanti H., Yazdi Y., and Li X. Elastography. A quantitative method for imaging the elasticity of biological tissues. Ultrasonic Imaging 13 (1991) 111-134
39. Plewes D.B., Bishop J., Samani A., and Sciarretta J. Visualization and quantification of breast cancer biomechanical properties with magnetic resonance elastography. Phys Med. Biol 45 (2000) 1591-1610
40. Roberts C.C., Levick J.R., Stanton A.W.B., and Mortimer P.S. Assessment of truncal edema following breast cancer treatment using modified harpenden skinfold calipers. Lymphology 28 (1995) 78-88
41. Righetti R., Ophir J., and Krouskop T.A. The feasibility of using elastography for imaging the local lateral-to-axial strain ratios in homogeneously porous media (2003) 38 Proceedings of the Second International Conference on the Ultrasonic Measurement and Imaging of Tissue Elasticity. October 12-15, 2003. Corpus Christi, TX
42. Righetti R., Ophir J., Srinivasan S., and Krouskop T.A. The feasibility of using elastography for imaging the Poisson's ratio in porous media. Ultrasound Med Biol 30 2 (2004) 215-228
43. Stanton A.W.B., Badger C., and Sitzia J. Non-invasive assessment of the lymphedematous arm. Lymphology 33 (2000) 122-135
44. Talley N.J., and O'Connor S. Clinical examination. A guide to physical diagnosis (1988), Williams and Wilkins and Associates Pty Ltd, NSW Australia
45. Wang H.F. Theory of linear poroelasticity (2000), Princeton University Press, Princeton, NJ
46. Weaver J.B., Van Houten E.E.W., Miga M.I., Kennedy F.E., and Paulsen K.D. Magnetic resonance elastography using 3D gradient echo measurements of steady-state motion. Med Phys 28 8 (2001) 1620-1628
47. Wellman P., Howe R.H., Dalton E., and Kern K.A. Breast tissue stiffness in compression is correlated to histological diagnosis. Harvard BioRobotics Laboratory, Technical Report (1999)
48. Wellman P.S., Dalton E.P., Krag D., Kern K.A., and Howe R.D. Tactile imaging of breast masses. First clinical report. Arch Surgery 136 2 (2001) 204-208
49. Worseley B.H. Analysis of decay-type data. Communications of the Association for Computing Machinery 7 1 (1964) 39-44