Medical Image Analysis
Volume 6, Issue 1 , Pages 1-27 , March 2002

Methods for modeling and predicting mechanical deformations of the breast under external perturbations

  • Fred S. Azar

      Affiliations

    • Department of BioEngineering, University of Pennsylvania, 120 Hayden Hall, 3320 Smith Walk, Philadelphia, PA 19104, USA
    • Corresponding Author InformationCorresponding author. 2231 Kaitlyn Court, West Windsor, NJ 08550, USA. Tel.: +1-609-750-0565
  • ,
  • Dimitris N. Metaxas

      Affiliations

    • Department of Computer Science, University of Pennsylvania, 200 South 33rd St., Philadelphia, PA 19104, USA
  • ,
  • Mitchell D. Schnall

      Affiliations

    • Department of Radiology, Hospital of the University of Pennsylvania, MRI Bldg. 1 Founders, 3400 Spruce St., Philadelphia, PA 19104, USA

Received 18 May 2001 ,Accepted 31 August 2001.

References 

  1. ABAQUS/Standard V.5.8, 1998. Hibbitt, Karlsson and Sorensen. Vol. II, 14.1.4–1, 14.1.4–17.
  2. Agache PG, Monneur C, Leveque JL, DeRigal J. Mechanical properties and Young’s modulus of human skin in vivo. Arch. Dermatol. Res. 1980;269:221–232
  3. Azar FS, Metaxas D, Schnall MD. A finite element model of the breast for predicting mechanical deformations during interventional procedures. Proc. Int. Soc. Magn. Reson. Med. 1999;7:1084
  4. Azar FS, Metaxas DN, Miller RT, Schnall MD. Methods for predicting mechanical deformations in the breast during clinical breast biopsy. In: 26th IEEE Annual N.E. BioEngineering Conference. 2000;
  5. Azar F.S., Metaxas D.N., Schnall M.D., 2001. A deformable finite element model of the breast for predicting mechanical deformations under external perturbations. J. Acad. Radiol. October issue.
  6. Baumann R, Glauser D. Force feedback for virtual reality based minimally invasive surgery simulator. In: Medicine Meets Virtual Reality. Amsterdam: IOS Press; 1996;
  7. Behrenbruch CP, Marias K, Armitage P, Yam M, Moore N, English RE, et al. MRI-mammography 2D/3D data fusion for breast pathology assessment. In: Proc. Medical Image Computing and Computer Assisted Intervention (MICCAI). 2000;p. 307–316
  8. Carvalho BM, Gau CJ, Herman CT, Kong TY. Algorithms for fuzzy segmentation. Pattern Anal. Appl. 1999;2:73–81
  9. Chadwick J, Haumann D, Parent R. Layered construction of deformable animated characters. Computer Graphics (SIGGRAPH’89). 1989;23:243–252
  10. Chen DT, Zeltzer D. Pump it up: computer animation of a biomechanically based model of the muscle using the finite element method. Computer Graphics (SIGGRAPH’92). 1992;26:89–98
  11. Cook RD, Malkus DS, Plesha ME. In: Concepts and Applications of Finite Elements Analysis. New York: Wiley; 1989;
  12. Cotin S, Delinguette H, Ayache N. Real-time elastic deformations of soft tissues for surgery simulation. IEEE Trans. Visualization Computer Graphics. 1999;5:62–73
  13. Desbrun, M., Gascuel, M.P., 1995. Animating soft substances with implicit surfaces. Computer Graphics (SIGGRAPH’95) 287-290.
  14. DeVries PL. In: A First Course in Computational Physics. New York: Wiley; 1994;p. 207–225
  15. Egan, R.L., 1988a. Breast Embryology, Anatomy and Physiology. Breast Imaging: Diagnosis and Morphology of Breast Diseases. Saunders. pp. 30–58.
  16. Egan, R.L., 1988b. Malignant Breast Lesions. Breast Imaging: Diagnosis and Morphology of Breast Diseases. Saunders. pp. 227–231.
  17. Elden HR. In: Biophysical Properties of Skin. New York: Wiley-Interscience; 1977;
  18. Ergatoudis I, Irons BM, Zienkiewicz OC. Curved isoparametric, ‘quadrilateral’ elements for finite element analysis. Int. J. Solids Structures. 1968;4:31–42
  19. Fischer U, Vosshenrich R, Keating D, Bruhn H, Doler W, Oestmann JW, et al. MR-guided biopsy of suspect breast lesions with a simple sterotaxic add-on device for surface coils. Radiology. 1994;192:272–273
  20. Fischer U, Vosshenrich R, Doler W, Hamadeh A, Oestmann JW, Grabbe E. MR imaging-guided breast intervention: experience with two systems. Radiology. 1995;195:533–538
  21. Fung YC. Stress–strain history relations of soft tissues in simple elongation. In:  Fung YC,  Perrone N,  Anliker M editor. Biomechanics: Its Foundations and Objectives. Englewood Cliffs, NJ: Prentice-Hall; 1972;
  22. Fung YC. In: Biomechanics: Mechanical Properties of Living Tissues. New York: Springer; 1981;p. 203–212
  23. Fung YC. In: Biomechanics: Mechanical Properties of Living Tissues. 2nd Edition. New York: Springer; 1993;
  24. Fung YC. In: A First Course in Continuum Mechanics. Englewood Cliffs, NJ: Prentice Hall; 1994;
  25. Goldstein DC, Kundel HL, Daube-Whiterspoon ME, Thibault LE, Goldstein EJ. A silicone gel phantom suitable for multimodality imaging. Invest. Radiol. 1987;22:153–157
  26. Green AE, Zerna W. In: Theoretical Elasticity. London: Oxford University 99; 1968;
  27. Haber I, Metaxas D, Axel L. Three-dimensional motion reconstruction and analysis of the right ventricle using tagged MRI. Medical Image Analysis. 2000;4:335–355
  28. Harris JR, Lippman ME, Morrow M, Hellman S. In: Diseases of the Breast. New York: Lippincott-Raven; 1996;
  29. Hayes WC, Keer LM, Hermann G, Mockros LF. A mathematical analysis for indentation tests of articular cartilage. J. Biomech. 1972;5:541–551
  30. Joukhadar A. Energy based adaptive time step and inertia-matrix based adaptive discretization for fast converging dynamic simulation. In: Proc. of the Int. Workshop on Visualisation and Mathematics. Heidelberg: Springer; 1995;
  31. Kojic M, Bathe KJ. Studies of finite element procedures-stress solution of a closed elastic strain path with stretching and shearing using the updated Lagrangian Jaumann formulation. Computers Structures. 1987;26:175–179
  32. Krouskop TA, Wheeler TM, Kallel F, Garra BS, Hall T. The elastic moduli of breast and prostate tissues under compression. Ultrasonic Imaging. 1998;20:151–159
  33. Kuehnapfel UG, Neisius B. CAD-based graphical computer simulation in endoscopic surgery. Endosc. Surg. 1993;1:181–184
  34. Lawrence AJ, Rossman PJ, Mahowald JL, Manduca A, Hartmann LC, Ehman RL. Assessment of breast cancer by magnetic resonance elastography. Proc. Int. Soc. Magn. Reson. Med. 1999;7:525
  35. Luciani A, Jimenez S, Florens JL, Cadoz C, Raoult O. Computational physics: a modeler simulator for animated physical objects. In: Eurographics Workshop on Animation and Simulation. 1991;p. 425–437
  36. Maurel, W., Wu, Y., Magnenat Thalmann, N., Thalmann, D., 1998. Biomechanical Models for Soft Tissue Simulation. Basis Research Series. Esprit. Springer, Berlin.
  37. Meseure P, Chaillou C. Deformable body simulation with adaptive subdivision and cuttings. In: Proceedings of the Fifth International Conference in Central Europe on Computer Graphics and Visualization. Oxford: Pergamon; 1997;p. 361–370
  38. Metaxas, D., 1992. Physics-based modeling of nonrigid objects for vision and graphics. Ph.D. thesis, Department of Computer Science, University of Toronto.
  39. Metaxas D, Terzopoulos D. Shape and nonrigid motion estimation through physics-based synthesis. IEEE Trans. Pattern Anal. Machine Intelligence. 1993;15:569–579
  40. Miller G. The motion dynamics of snake and worms. Computer Graphics (SIGGRAPH’88). 1988;23:169–173
  41. NCI, 1998. Understanding Breast Cancer Treatment. National Cancer Institute. NIH 98-4251, 6-7.
  42. Norton A, Turk G, Bacon B, Gerth J, Sweeney P. Animation of fracture by physical modeling. The Visual Computer. 1991;7:210–219
  43. Orel SG, Schnall MD, Newman RW, Powell CM, Torosian MH, Rosato EF. MR imaging-guided localization and biopsy of breast lesions: initial experience. Radiology. 1994;193:97–102
  44. Park J, Metaxas D, Young AA, Axel L. Analysis of left ventricular wall motion based on volumetric deformable models and MRI-SPAMM. Med. Image Anal. 1996;1:53–71
  45. Park J, Metaxas D, Young AA, Axel L. Deformable models with parameter functions for cardiac motion analysis from tagged MRI data. IEEE Trans. Medical Image Processing. 1996;15(3):278–289
  46. Picinbono, G., Delinguette, H., Ayache, N., May 2001. Non-linear and anisotropic elastic soft tissue models for medical simulation. In ICRA2001: IEEE International Conference on Robotics and Automation, Seoul, South Korea.
  47. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. In: Numerical Recipes in C: The Art of Scientific Computing. Cambridge: Cambridge University Press; 1992;p. 707–725
  48. Reddy, N.P., Song, G.J., 1995. Tissue cutting in virtual environments. Medicine meets virtual reality IV. In: Interactive Technology and the New Paradigm for Healthcare. IOP Press, Amsterdam, pp. 359–364.
  49. Saha PK, Udupa JK, Odhner D. Scale-based fuzzy connected image segmentation: theory algorithms, and validation. Computer Vision and Image Understanding. 2000;77:145–174
  50. Sarvazyan AP, Skovoroda AR, Emelianov SY, Fowlkes JB, Pipi JG, Adler RS, et al. In: Biophysical Bases of Elasticity Imaging. New York: Plenum; 1995;
  51. Schneider DC, Davidson TM, Nahum AM. In vitro biaxial stress–strain response of human skin. Arch. Otolaryngol. 1984;110:329–333
  52. Sciaretta J, Bishop J, Samani A, Plewes DB. MR validation of soft tissue deformation as modeled by non-linear finite element analysis. Proc. Int. Magn. Reson. Med. 1999;7:246
  53. Skovoroda AR, Gusakyan DA, Mayevskii YI, Yermilova VD, Oranskaya GA, Sarvazyan AP. Quantitative analysis of the mechanical characteristics of pathologically changed soft biological tissues. Biophysics. 1995;40:1359–1364
  54. Speeter TH. Three dimensional finite element analysis of elastic continua for tactile sensing. Int. J. Robotics Res. 1992;11(1):1–19
  55. Spencer AJM. In: Continuum Mechanics. London: Longman; 1980;p. 153–163
  56. Stavros AT, Rapp CL, Dennis MA, Parker SH, Sisney GA. Solid breast nodules: use of sonography to distinguish between benign and malignant lesions. Radiology. 1995;196:123–134
  57. Szekely, G., Brechbuhler, Ch., Hutter, R., Rhomberg, A., Schmid, P., 1998. Modelling of soft tissue deformation for laparoscopic surgery simulation. In: Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp. 550–561.
  58. Veronda DR, Westmann RA. Mechanical characterization of skin-finite deformations. J. Biomech. 1970;3:111–124
  59. Wellman, P.S., 1999. Tactile Imaging, Thesis. Harvard University, Cambridge, MA.
  60. Wellman, P.S., Howe, R.D., 1998. Harvard Bio-Robotics Lab.Tech. Report. #98-121.
  61. Williams C, Clymer B, Schmalbrock P. Biomechanics of breast tissue: preliminary study of force-deformation relationship. Proc. Int. Soc. Magn. Reson. Med. 1999;7:524
  62. Young AA, Axel L, Dougherty L, Bogen DK, Parenteau CS. Validation of tagging with MR imaging to estimate material deformation. Radiology. 1993;188:101–108
  63. Zhang M, Zheng YP, Mak AF. Estimating the effective Young’s modulus of soft tissues from indentation tests — nonlinear finite element analysis of effects of friction and large deformation. Med. Eng. Phys. 1997;19:512–517
  64. Zhuang, Y., Canny, J., 1999. Real-time and physically realistic simulation of global deformation. SIGGRAPH Sketches and Applications. Los Angeles, CA, 1999.
  65. Zienkiewicz OC. In: The Finite Element Method. 3rd Edition. London: McGraw-Hill; 1977;
  66. Zienkiewicz OC, Taylor RL. In: The Finite Element Method. New York: McGraw-Hill; 1989;

PII: S1361-8415(01)00053-6

Medical Image Analysis
Volume 6, Issue 1 , Pages 1-27 , March 2002