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Viscoelastic and Nonlinear Liver Modeling for Needle Insertion Simulation

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Book cover Soft Tissue Biomechanical Modeling for Computer Assisted Surgery

Part of the book series: Studies in Mechanobiology, Tissue Engineering and Biomaterials ((SMTEB,volume 11))

Abstract

Needle insertion treatments for liver tumors require accurate placement of the needle tip into the target tissue. However, it is difficult to insert the needle into the tissue because of tissue displacement due to organ deformation. Thus, path planning using numerical simulation to analyze organ deformation is important for accurate needle insertion. The objective of our work was to develop and validate a viscoelastic and nonlinear physical liver model. First, we present a material model to represent the viscoelastic and material, nonlinear properties of liver tissue for needle insertion simulation. Material properties of liver tissue were measured using a rheometer and modeled from the measured data. The liver viscoelastic characteristics were represented by differential equations, including the fractional derivative term. Next, nonlinearity with respect to the fractional derivative was measured, and the stress–strain relationship using a cubic function was modeled. Second, the experimental method to validate the model is explained. In vitro experiments that made use of porcine liver were conducted for comparison with the simulation using the model. Results of the in vitro experiment showed that the liver model reproduced with high accuracy (1) the relationship between needle displacement and force during needle insertion, (2) the velocity dependence of needle displacement and force when a puncture occurred and (3) the nonlinear and viscoelastic responses of displacement at an internally located point.

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References

  1. Taylor, R.H., Stoianovici, D.: Medical robotics in computer-integrated surgery. IEEE Trans. Robot. Autom. 19(5), 765–781 (2003)

    Article  Google Scholar 

  2. Daraio, P., Hannaford, B., Menciassi, A.: Smart surgical tools and augmenting devices. IEEE Trans. Robot. Autom. 19(5), 782–792 (2003)

    Article  Google Scholar 

  3. Alterovitz, R., Lim, A., Goldberg, K., Chirikjian, G.S., Okamura, A.M.: Motion planning under uncertainty for image-guided medical needle steering. Int. J. Robot. Res. 27(11–12), 1361–1374 (2008)

    Article  Google Scholar 

  4. Alterovitz, R., Goldberg, K., Okamura, A.: Three-dimensional motion planning algorithms for steerable needles using inverse kinematics. Int. J. Robot. Res. 29(7), 789–800 (2010)

    Article  Google Scholar 

  5. DiMaio, S.P., Salcudean, S.E.: Needle insertion modelling and simulation. IEEE Trans. Robot. Autom. 19(5), 864–875 (2003)

    Article  Google Scholar 

  6. DiMaio, S.P., Salcudean, S.E.: Interactive simulation of needle insertion model. IEEE Trans. Bio-med. Eng. 52(7), 1167–1179 (2005)

    Article  Google Scholar 

  7. Goksel, O., Salcudean, S.E., DiMaio, S.P., et al.: 3D needle-tissue interaction simulation for prostate brachytherapy. Med. Image Comput. Comput-Assist. Interv. 3, 827–834 (2005)

    Google Scholar 

  8. Dehghan, E., Salcudean, S.E.: Needle insertion parameter optimization for brachytherapy. IEEE Trans. Robot. Autom. 25(2), 303–315 (2008)

    Google Scholar 

  9. Chui, C., Kobayashi, E., Chen, X., Hisada, T., Sakuma, I.: Combined compression and elongation experiments and non-linear modelling of liver tissue for surgical simulation. Med. Bio. Eng. Comput. 42(6), 787–798 (2006)

    Article  Google Scholar 

  10. Schwartz, J.M., Denninger, M., Rancourt, D., et al.: Modelling liver tissue properties using a non-linear visco-elastic model for surgery simulation. Med. Image Anal. 9(2), 103–112 (2005)

    Article  Google Scholar 

  11. Famaey, N., Sloten, J.V.: Soft tissue modelling for applications in virtual surgery and surgical robotics. Comp. Meth. Biomech. Bio-med. Eng. 11(4), 351–366 (2008)

    Article  Google Scholar 

  12. Okamura, A.M., Simone, C., O’Leary, M.D.: Force modeling for needle insertion into soft tissue. IEEE Bio-med. Eng. 51(10), 1707–1716 (2004)

    Article  Google Scholar 

  13. Heverly, M., Dupont, P., Triedman, J.: Trajectory optimization for dynamic needle insertion. In: IEEE International Conference on Robotics and Automation 1646–1651 (2005)

    Google Scholar 

  14. Miller, K.: Constitutive modelling of abdominal organs. J. Biomechanics 33, 367–373 (2000)

    Article  Google Scholar 

  15. Miller, K., Chinzei, K., Orssengo, G., Bednarz, P.: Mechanical properties of brain tissue in vivo: experiment and computer simulation. J. Biomechanics 33, 1369–1376 (2000)

    Article  Google Scholar 

  16. Sakuma, I., Nishimura, Y., Chui, C.K., Kobayashi, E., Inada, H., Chen, X., Hisada, T.: In vitro measurement of mechanical properties of liver tissue under compression and elongation using a new test piece holding method with surgical glue, In: Procceedings on International Symposium IS4TM, pp. 284–292 (2003)

    Google Scholar 

  17. Gao, Z., Lister, K., Desai, J.P.: Constitutive modeling of liver tissue: experiment and theory. In: Proceedings of 2008 IEEE Biomedical Robotics and Biomechatronics, pp. 477–482 (2008)

    Google Scholar 

  18. Liu, H., Noonan, D.P., Zweiri, Y.H., Althoefer, K.A., Seneviratne, L.D.: The development of nonlinear viscoelastic model for the application of soft tissue identification. In: IEEE International Conference on Intelligent Robotics and Systems, pp. 208–213 (2007)

    Google Scholar 

  19. Kerdok, A.E., Ottensmeyer, M.P., Howe, R.D.: Effects of perfusion on the viscoelastic characteristics of liver. J. Biomechical 39, 2221–2231 (2006)

    Article  Google Scholar 

  20. Kim, J., Tay, B., Stylopoulos, N., Rattner, D.W., Srinivasan, M.A.: Characterization of intra-abdominal tissues from in vivo animal experiment for surgical simulation. In: Proceedings of 2003 Medical Image Computing and Computer-Assisted Intervention, pp. 206–213 (2003)

    Google Scholar 

  21. Zienkiewicz O.C., Cheung, Y.K.: The finite element method in structural and continuum mechanics (1967)

    Google Scholar 

  22. Ma, C., Hori, Y.: The application of fractional order control to backlash vibration suppression. In: Proceedings of American Control Conference, pp. 2901–2906 (2004)

    Google Scholar 

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Acknowledgments

This work was supported by the “Establishment of Consolidated Research Institute for Advanced Science and Medical Care,” Encouraging Development Strategic Research Centers Program, the Special Coordination Funds for Promoting Science and Technology, Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan; “The Robotic Medical Technology Cluster in Gifu Prefecture,” Knowledge Cluster Initiative, Ministry of Education, Culture, Sports, Science and Technology, Japan, the Global COE (Centers of Excellence) Program “Global Robot Academia,” Waseda University, Tokyo, Japan, the High-Tech Research Center Project from MEXT, and by the Grant-in-Aid for Young Scientists (B) (21700513).

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Authors and Affiliations

  1. Faculty of Science and Engineering, Waseda University, 59-309 3-4-1 Ohkubo, Tokyo, Shinjuku-ku, 169-8555, Japan

    Yo Kobayashi, Hiroki Watanabe, Takeharu Hoshi, Kazuya Kawamura & Masakatsu G. Fujie

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  1. Yo Kobayashi
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  2. Hiroki Watanabe
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  3. Takeharu Hoshi
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  4. Kazuya Kawamura
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  5. Masakatsu G. Fujie
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Correspondence to Yo Kobayashi .

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Editors and Affiliations

  1. , TIMC Laboratory, Joseph Fourier University, La Tronche cedex, 38706, France

    Yohan Payan

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© 2012 Springer-Verlag Berlin Heidelberg

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Kobayashi, Y., Watanabe, H., Hoshi, T., Kawamura, K., Fujie, M.G. (2012). Viscoelastic and Nonlinear Liver Modeling for Needle Insertion Simulation. In: Payan, Y. (eds) Soft Tissue Biomechanical Modeling for Computer Assisted Surgery. Studies in Mechanobiology, Tissue Engineering and Biomaterials, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/8415_2012_127

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  • DOI: https://doi.org/10.1007/8415_2012_127

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29013-8

  • Online ISBN: 978-3-642-29014-5

  • eBook Packages: EngineeringEngineering (R0)

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