Biomechanical Characterization with Inverse FE Model Parameter Estimation: Macro and Micro Applications

유한요소 모델 변수의 역 추정법을 이용한 생체의 물성 규명

  • Published : 2009.11.01


An inverse finite element (FE) model parameter estimation algorithm can be used to characterize mechanical properties of biological tissues. Using this algorithm, we can consider the influence of material nonlinearity, contact mechanics, complex boundary conditions, and geometrical constraints in the modeling. In this study, biomechanical experiments on macro and micro samples are conducted and characterized with the developed algorithm. Macro scale experiments were performed to measure the force response of porcine livers against mechanical loadings using one-dimensional indentation device. The force response of the human liver cancer cells was also measured by the atomic force microscope (AFM). The mechanical behavior of porcine livers (macro) and human liver cancer cells (micro) were characterized with the algorithm via hyperelastic and linear viscoelastic models. The developed models are suitable for computing accurate reaction force on tools and deformation of biomechanical tissues.


Inverse FE Model Parameter Estimation;Biomechanical Characterization;Finite Element Method;Atomic Force Microscopy


  1. Satava, R. and Jones, S., 1997, 'Virtual Environments for Medical Training and Education,' Teleoperators and Virtual Environments, Vol. 6, pp. 139-146
  2. Kimura, Y. and Yanagimachi, R., 1995, 'Intracytoplasmic Sperm Injection in the Mouse,' Biology of reproduction, Vol. 52, pp. 709-720
  3. Ammi, M., Ladjal, H. and Ferreira, A., 2006, 'Evaluation of 3D Pseudo-Haptic Rendering using Vision for Cell Micromanipulation,' 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 2115-2120
  4. Ammi, M. and Ferreira, A., 2006, 'Biological Cell Injection Visual and Haptic Interface,' Advanced Robotics, Vol. 20, No. 3, pp. 283-304
  5. Pillarisetti, A., Pekarev, M., Brooks, A.D. and Desai, J.P., 2007, 'Evaluating the Effect of Force Feedback in Cell Injection,' IEEE Transactions on Automation Science and Engineering, Vol. 4, No. 3, pp. 322-331
  6. Nava, A., Mazza, E., Furrer, M., Villiger, P. and Reinhart, W.H. 2008, 'In Vivo Mechanical Characterization of Human Liver,' Medical Image Analysis, Vol. 12, pp. 203-216
  7. Valtorta, D. and Mazza, E., 2005, 'Dynamic Measurement of Soft Tissue Viscoelastic Properties with a Torsional Resonator Device,' Medical Image Analysis, Vol. 9, pp. 481-490
  8. Wu, Z.Z., Zhang, G., Long, M., Wang, H.B., ,G.B. and Cai, S.X. 2000, 'Comparison of the Viscoelastic Properties of Normal Hepatocytes and Hepatocellular Carcinoma Cells Under Cytoskeletal Perturbation,' Biorheology, Vol. 37, pp. 279-290
  9. K.A. Daehwan Shin, 1999,'Cytoindentation for Obtaining Cell Biomechanical Properties,' Journal of Orthopaedic Research, Vol. 17, pp. 880-890
  10. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P., 1992, Numerical Recipes in C++, the Art of Scientific Computing, Second ed. Cambridge University Press
  11. Moulton, M.J., Creswell, L.L., Actis, R.L., Myers, K.W., Vannier, M.W., Szabo, B.A. and Pasque, M.K., 1995, 'An Inverse Approach to Determining Myocardial Material Properties,' Journal of Biomechanics, Vol. 28, No. 8, pp. 935-948
  12. Fung, Y.C., 1993, Biomechanics, Mechanical Properties of Living Tissues, Second ed. Springer-Verlag, New York
  13. Ahn, B. and Kim, J., 'Estimation of Soft Tissue's Mechanical Properties with Indentation Experiments and Optimization Algorithm,' 3rd Asian Pacific Conference on Biomechanics, Tokyo, Japan
  14. Samur, E., Sedef, M., Basdogan, C., Avtan, L., Duzgun, O., 2007, 'A Robotic Indenter for Minimally Invasive Measurement and Characterization of Soft Tissue Response,' Medical Image Analysis. Vol. 11, pp. 361-373
  15. Becker, E.B., Carey, G.F. and Oden, J.T., 1981, 'Finite Elements an Introduction,' Vol. I
  16. Zhang, G., Long, M., Wu, Z.Z. and Yu, W. Q., 2002, 'Mechanical Properties of Hepatocellular Carcinoma Cells,' World J Gastroenterol, Vol. 8, 243-246
  17. Ethier,C. R. and Simmons, C. A., 2007, Introductory Biomechanics: from Cells to Organisms, Cambridge
  18. Unnikrishnan, G.U., Unnikirishnan, V.U. and Reddy, J. N., 2007, 'Constitutive Material Modeling of Cell: A Micromechanics Approach,' Journal of Biomechanical Engineering-Transactions of the ASME, Vol. 129, pp. 315-323
  19. Boyce, M.C. and Arruda, E.M., 2000, 'Constitutive Models of Rubber Elasticity: A Review,' Rubber Chemistry and Technology, Vol. 73, pp. 504-523
  20. Johnson, K.L., 1985, 'Contact Mechanics,' The Press Syndicate of the University of Cambridge
  21. Basdogan, C., Ho, C.H., Srinivasan, M.A., 2001, 'Virtual Environments for Medical Training: Graphical and Haptic Simulation of Laparoscopic Common Bile Duct Exploration,' IEEE-ASME Transactions on Mechatronics, Vol. 6, pp. 269-285
  22. Tendick, F., Downes, M. and Goktekin, T., et al, 2000, 'A Virtual Environment Testbed for Training Laparoscopic Surgical Skills,' Teleoperators and Virtual Environments, Vol. 9, pp.236-255
  23. Tay, B.K., Kim, J. and Srinivasan, M.A., 2006, 'In Vivo Mechanical Behavior of Intra-Abdominal Organs,' IEEE Transactions on Biomedical Engineering, Vol. 53, pp. 2129-2138
  24. Sneddon, I.N., 1965, 'The Relation Between Load and Penetration in the Axisymmetric Boussinesq Problem for a Punch of Arbitrary Profile,' International Journal of Engineering, Vol. 3, pp. 47-57
  25. Kim, J. and Srinivasan, M.A., 2005, 'Characterization of Viscoelastic Soft Tissue Properties from In vivo Animal Experiments and Inverse FE Parameter Estimation,' Lecture Notes Computer and Science Vol. 3750, pp. 599-606

Cited by

  1. Identification of the visco-hyperelastic properties of brain white matter based on the combination of inverse method and experiment pp.1741-0444, 2019,