Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation

Medical Image Analysis

Volumn 13, Issue 6, 2009, Pages 912-919

  Joldes, Grand Roman ^a   Wittek, Adam ^a   Miller, Karol ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Contact algorithm; Explicit time integration; Hourglass control; Non locking tetrahedron; Real time computations; Total Lagrangian formulation

Indexed keywords

CONTACT ALGORITHM; EXPLICIT TIME INTEGRATION; HOURGLASS CONTROL; NON-LOCKING TETRAHEDRON; REAL TIME COMPUTATIONS; TOTAL LAGRANGIAN FORMULATION;

ALGORITHMS; AUGMENTED REALITY; BRAIN MODELS; COMPUTATIONAL MECHANICS; DEFORMATION; FINITE ELEMENT METHOD; HAPTIC INTERFACES; LAGRANGE MULTIPLIERS; SIMULATORS; VIRTUAL REALITY;

COMPUTATION THEORY;

ALGORITHM; ARTICLE; BRAIN; COMPUTER ASSISTED SURGERY; COMPUTER SYSTEM; FINITE ELEMENT ANALYSIS; IMAGE ANALYSIS; IMAGE DISPLAY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PRIORITY JOURNAL; SOFT TISSUE;

ALGORITHMS; ANIMALS; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTIC MODULUS; FINITE ELEMENT ANALYSIS; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, ANATOMIC; MODELS, BIOLOGICAL; SENSITIVITY AND SPECIFICITY; SURGERY, COMPUTER-ASSISTED; VISCOSITY;

EID: 70350335907     PISSN: 13618415     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.media.2008.12.001     Document Type: Article

References (47)

1. ABAQUS, ABAQUS Theory Manual, 1998, Version 5.8, Hibbitt, Karlsson & Sorensen, Inc.
2. ADINA R&D, ADINA home page - .
3. ANSYS, ANSYS home page - .
4. Bathe K.-J. Finite Element Procedures (1996), Prentice-Hall, New Jersey
5. Belytschko T. A survey of numerical methods and computer programs for dynamic structural analysis. Nuclear Engineering and Design 37 (1976) 23-34
6. T. Belytschko, 1983. An overview of semidiscretization and time integration procedures. In: Computational Methods for Transient Analysis North-Holland, Amsterdam, p. 1-66.
7. Bonet J., and Burton A.J. A simple averaged nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications. Communications in Numerical Methods in Engineering 14 (1998) 437-449
8. Bonet J., Marriott H., and Hassan O. An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications. Communications in Numerical Methods in Engineering 17 (2001) 551-561
9. Carey G.F. A Unified Approach to Three Finite Element Theories for Geometric Nonlinearity. Journal of Computer Methods in Applied Mechanics and Engineering 4 1 (1974) 69-79
10. Castellano-Smith, A.D., Hartkens, T., Schnabel, J., Hose, D.R., Liu, H., Hall, W. A., Truwit, C. L., Hawkens, D. J., Hill, D.L.G., 2001. Constructing patient specific models for correcting intraoperative brain deformation. In: Fourth International Conference on Medical Image Computing and Computer Assisted Intervention MICCAI, Utrecht, The Netherlands.
11. Clatz O., Delingette H., Bardinet E., Dormont D., and Ayache N. Patient specific biomechanical model of the brain: application to Parkinson's disease procedure. In: Ayache N., and Delingette H. (Eds). International Symposium on Surgery Simulation and Soft Tissue Modeling (IS4TM'03) (2003), Springer-Verlag, Juan-les-Pins, France
12. Clatz O., Sermesant M., Bondiau P.-Y., Delingette H., Warfield S.K., Malandain G., and Ayache N. Realistic simulation of the 3D growth of brain tumors in mr images coupling diffusion with biomechanical deformation. IEEE Transactions on Medical Imaging 24 1 (2005) 1334-1346
13. Couteau B., Payan Y., and Lavallée S. The mesh-matching algorithm: an automatic 3D mesh generator of finite element structures. Journal of Biomechanics 33 (2000) 1005-1009
14. Crisfield M.A. Non-linear dynamics. Non-linear Finite Element Analysis of Solids and Structures (1998), John Wiley & Sons, Chichester 447-489
15. DiMaio S.P., and Salcudean S.E. Interactive simulation of needle insertion models. IEEE Transaction on Biomedical Engineering 52 7 (2005)
16. Dohrmann C.R., Heinstein M.W., Jung J., Key S.W., and Witkowski R. Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes. International Journal for Numerical Methods in Engineering 47 (2000) 1549-1568
17. Ferrant, M., Macq, B., Nabavi, A., Warfield, S. K., 2000. Deformable Modeling for Characterizing Biomedical Shape Changes. In: Borgefors, I.N.G., Sanniti di Baja, G. (Eds.), Discrete Geometry for Computer Imagery 9th International Conference, Uppsala, Sweden, Springer-Verlag GmbH.
18. Ferrant M., Nabavi A., Macq B., Black P.M., Jolesz F.A., Kikinis R., and Warfield S.K. Serial registration of intraoperative MR images of the brain. Medical Image Analysis 6 4 (2002) 337-359
19. Flanagan D.P., and Belytschko T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. International Journal for Numerical Methods in Engineering 17 (1981) 679-706
20. Fung Y.C. Biomechanics. second ed. Mechanical Properties of Living Tissues (1993), Springer-Verlag, New York
21. J. O. Hallquist, 2005. LS-DYNA Theory Manual, Livermore Software Technology Corporation, Livermore, California 94551.
22. Hu J., Jin X., Lee J.B., Zhang L., Chaudhary V., Guthikonda M., Yang K.H., and King A.I. Intraoperative brain shift prediction using a 3D inhomogeneous patient-specific finite element model. Journal of Neurosurgery 106 (2007) 164-169
23. Hughes T.J.R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (2000), Dover Publications, Mineola
24. Joldes, G.R., Wittek, A., Miller, K., 2007. An efficient hourglass control implementation for the uniform strain hexahedron using the total lagrangian formulation. Communications in Numerical Methods in Engineering, doi:10.1002/cnm.1034.
25. Joldes, G.R., Wittek, A., Miller, K., 2008a. Non-locking tetrahedral finite element for surgical simulation. Communications in Numerical Methods in Engineering, Doi: doi:10.1002/cnm.1185.
26. Joldes, G.R., Wittek, A., Miller, K., L. Morriss, 2008b. Realistic and efficient brain-skull interaction model for brain shift computation. In: Miller, K., Nielsen, P. M. F., (Eds.), Computational Biomechanics for Medicine III Workshop, MICCAI, New-York.
27. Luboz V., Chabanas M., Swider P., and Payan Y. Orbital and maxillofacial computer aided surgery: patient-specific finite element models to predict surgical outcomes. Computational Methods of Biomechanical and Biomedical Engineering 8 4 (2005) 259-265
28. Martin H.C., and Carey G.F. Introduction to Finite Element Analysis: Theory and Application (1973), McGraw-Hill Book Co., New York
29. Miller, K., 2002. Biomechanics of Brain for Computer Integrated Surgery, Publishing House of Warsaw University of Technology, Warsaw.
30. Miller K., and Chinzei K. Constitutive modelling of brain tissue; Experiment and Theory. Journal of Biomechanics 30 11/12 (1997) 1115-1121
31. Miller K., and Chinzei K. Mechanical properties of brain tissue in tension. Journal of Biomechanics 35 (2002) 483-490
32. Miller K., Chinzei K., Orssengo G., and Bednarz P. Mechanical properties of brain tissue in-vivo: experiment and computer simulation. Journal of Biomechanics 33 (2000) 1369-1376
33. Miller K., Joldes G.R., Lance D., and Wittek A. Total Lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation. Communications in Numerical Methods in Engineering 23 (2007) 121-134
34. Oden J.T., and Carey G.F. Finite Elements: Special Problems in Solid Mechanics (1983), Prentice-Hall
35. Owen, S.J., 1998. A survey of unstructured mesh generation technology. In: S.N. Lab (Ed.), Seventh International Meshing Roundtable, Dearborn, Michigan, USA.
36. Owen S.J. Hex-dominant mesh generation using 3D constrained triangulation. Computer-Aided Design 33 (2001) 211-220
37. Picinbono G., Delingette H., and Ayache N. Non-linear anisotropic elasticity for real-time surgery simulation. Graphical Models 65 (2003) 305-321
38. Sauve R.G., and Morandin G.D. Simulation of contact in finite deformation problems - algorithm and modelling issues. International Journal of Mechanics and Materials in Design 1 (2004) 287-316
39. Skrinjar O., Nabavi A., and Duncan J. Model-driven brain shift compensation. Medical Image Analysis 6 (2002) 361-373
40. Viceconti M., and Taddei F. Automatic generation of finite element meshes from computed tomography data. Critical Reviews in Biomedical Engineering 31 1 (2003) 27-72
41. Warfield S.K., Talos F., Tei A., Bharatha A., Nabavi A., Ferrant M., Black P.M., Jolesz F.A., and Kikinis R. Real-time registration of volumetric brain MRI by biomechanical simulation of deformation during image guided surgery. Computing and Visualization in Science 5 (2002) 3-11
42. Wittek, A., Hawkins, T., Miller, K. 2008. On the unimportance of constitutive models in computing brain deformation for image-guided surgery. Biomech. Model. Mechanobiol., Doi: 10.1007/s10237-10008-10118-10231.
43. Wittek A., Kikinis R., Warfield S.K., and Miller K. Brain shift computation using a fully nonlinear biomechanical model. 8th International Conference on Medical Image Computing and Computer Assisted Surgery MICCAI 2005 (2005), Palm Springs, California, USA
44. Wittek A., Miller K., Kikinis R., and Warfield S.K. Patient-specific model of brain deformation: application to medical image registration. Journal of Biomechanics 40 (2007) 919-929
45. Wittek, A., Miller, K., Laporte, J., Kikinis, R., Warfield, S.K., 2004. Computing reaction forces on surgical tools for robotic neurosurgery and surgical simulation. In: Australasian Conference on Robotics and Automation ACRA, Canberra, Australia.
46. Zhuang Y., and Canny J. Real-time Simulation of Physically Realistic Global Deformation (1999), IEE E Vis'99, San Francisco, California
47. Zienkiewicz O.C., Rojek J., Taylor R.L., and Pastor M. Triangles and tetrahedra in explicit dynamic codes for solids. International Journal for Numerical Methods in Engineering 43 (1998) 565-583