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Dynamics of Translational Friction in Needle–Tissue Interaction During Needle Insertion

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Abstract

In this study, a distributed approach to account for dynamic friction during needle insertion in soft tissue is presented. As is well known, friction is a complex nonlinear phenomenon. It appears that classical or static models are unable to capture some of the observations made in systems subjected to significant frictional effects. In needle insertion, translational friction would be a matter of importance when the needle is very flexible, or a stop-and-rotate motion profile at low insertion velocities is implemented, and thus, the system is repeatedly transitioned from a pre-sliding to a sliding mode and vice versa. In order to characterize friction components, a distributed version of the LuGre model in the state-space representation is adopted. This method also facilitates estimating cutting force in an intra-operative manner. To evaluate the performance of the proposed family of friction models, experiments were conducted on homogeneous artificial phantoms and animal tissue. The results illustrate that our approach enables us to represent the main features of friction which is a major force component in needle–tissue interaction during needle-based interventions.

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References

  1. Abolhassani, N., R. Patel, and M. Moallem. Needle insertion into soft tissue: a survey. Med. Eng. Phys. 29:413–431, 2007.

    Article  PubMed  Google Scholar 

  2. Abolhassani, N., R. V. Patel, and F. Ayazi. Minimization of needle deflection in robot-assisted percutaneous therapy. Int. J. Med. Robot. Comput. Assist. Surg. 3:140–148, 2007.

    Article  Google Scholar 

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

    Article  PubMed Central  PubMed  Google Scholar 

  4. Asadian, A., M. R. Kermani, and R. V. Patel. An analytical model for deflection of flexible needles during needle insertion. In: IEEE/RSJ International Conference on Intelligent Robots and Systems. 2011, pp. 2551–2556.

  5. Asadian, A., M. R. Kermani, and R. V. Patel. A novel force modeling scheme for needle insertion using multiple Kalman filters. IEEE Trans. Instrum. Meas. 61(2):429–438, 2012.

    Article  Google Scholar 

  6. Asadian, A., R. V. Patel, and M. R. Kermani. A distributed model for needle–tissue friction in percutaneous interventions. In: IEEE International Conference on Robotics and Automation. 2011, pp. 1896–1901.

  7. Asadian, A., R. V. Patel, and M. R. Kermani. Compensation for relative velocity between needle and soft tissue for friction modeling in needle insertion. In: IEEE EMBS Annual International Conference. 2012, pp. 960–963.

  8. Barbe, L., B. Bayle, and M. de Mathelin. In vivo model estimation and haptic characterization of needle insertions. Int. J. Robot. Res. 26(11–12):1283–1301, 2007.

    Article  Google Scholar 

  9. Bassan, H. S., R. V. Patel, and M. Moallem. A novel manipulator for percutaneous needle insertion: design and experimentation. IEEE/ASME Trans. Mechatron. 14(6):746–761, 2009.

    Article  Google Scholar 

  10. Canudas De Wit, C., H. Olsson, K. J. Astrom, and P. Lischinsky. A new model for control of systems with friction. IEEE Trans. Automat. Contr. 40:419–425, 1995.

    Article  Google Scholar 

  11. Canudas De Wit, C., P. Tsiotras, E. Velenis, M. Basset, and G. Gissinger. Dynamic friction models for road/tire longitudinal interaction. Veh. Syst. Dyn. 39(3):189–226, 2003.

    Article  Google Scholar 

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

    Article  Google Scholar 

  13. Duindam, V., J. Xu, R. Alterovitz, S. Sastry, and K. Goldberg. Three-dimensional motion planning algorithms for steerable needles using inverse kinematics. Int. J. Robot. Res. 29:789–800, 2010.

    Article  Google Scholar 

  14. Hing, J. T., A. D. Brooks, and J. P. Desai. Reality-based estimation of needle and soft-tissue interaction for accurate haptic feedback in prostate brachytherapy simulation. Springer Tracts Adv Robot. 28:34–48, 2007.

    Article  Google Scholar 

  15. Kataoka, H., T. Washio, K. Chinzei, K. Mizuhara, C. Simone, and A. M. Okamura. Measurement of the tip and friction force acting on a needle during penetration. In: International Conference on Medical Image Computing and Computer Assisted Intervention. 2002, pp. 216–223.

  16. Kermani, M. R., R. V. Patel, and M. Moallem. Friction identification and compensation in robotic manipulators. IEEE Trans. Instrum. Meas. 56(6):2346–2353, 2006.

    Article  Google Scholar 

  17. Lister, K., Z. Gao, and J. P. Desai. Development of in vivo constitutive models for liver: application to surgical simulation. Ann. Biomed. Eng. 39(3):1060–1073, 2011.

    Article  PubMed Central  PubMed  Google Scholar 

  18. Mahvah, M., and P. E. Dupont. Mechanics of dynamic needle insertion into a biological material. IEEE Trans. Biomed. Eng. 57(4):934–943, 2010.

    Article  Google Scholar 

  19. Misra, S., K. T. Ramesh, and A. M. Okamura. Modeling of tool-tissue interactions for computer-based surgical simulation: a literature review. Presence Teleop. Virt. 17(5):463–491, 2008.

    Article  Google Scholar 

  20. Okamura, A. M., C. Simone, and M. D. O’Leary. Force modeling for needle insertion into soft tissue. IEEE Trans. Biomed. Eng. 51(10):1707–1716, 2004.

    Article  PubMed  Google Scholar 

  21. Olsson, H., K. J. Astrom, C. Canudas De Wit, M. Gafvert, and P. Lichinsky. Friction models and friction compensation. Eur. J. Control. 4(3):176–195, 1998.

    Article  Google Scholar 

  22. Podder, T. K., J. Sherman, E. M. Messing, D. J. Rubens, D. Fuller, J. G. Strang, R. A. Brasacchio, and Y. Yu. Needle insertion force estimation model using procedure-specific and patient-specific criteria. In: IEEE EMBS Annual International Conference. 2006, pp. 555–558.

  23. Reed, K. B., A. M. Okamura, and N. J. Cowan. Modeling and control of needles with torsional friction. IEEE Trans. Biomed. Eng. 56(12):2905–2916, 2009.

    Article  PubMed Central  PubMed  Google Scholar 

  24. Roesthuis, R. J., Y. R. J. van Veen, A. Jahya, and S. Misra. Mechanics of needle–tissue interaction. IEEE/RSJ International Conference on Intelligent Robots and Systems. 2011, pp. 2557–2563.

  25. Ross, K. A., and M. G. Scanlon. Analysis of the elastic modulus of agar gel by indentation. J. Texture Stud. 30(1):17–27, 1999.

    Article  Google Scholar 

  26. Van Gerwen, D. J., J. Dankelman, and J. J. van den Dobbelsteen. Needle–tissue interaction forces: a survey of experimental data. Med. Eng. Phys. 34:665–680, 2012.

    Article  PubMed  Google Scholar 

  27. Webster III R. J., J. S. Kim, N. J. Cowan, G. S. Chirikjian, and A. M. Okamura. Nonholonomic modeling of needle steering. Int. J. Robot. Res. 25:509–525, 2006.

    Article  Google Scholar 

  28. Wood, N. A., K. Shahrour, M. C. Ost, and C. N. Riviere. Needle steering system using duty-cycled rotation for percutaneous kidney access. IEEE EMBS Annual International Conference 2010, pp. 5432–5435.

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Acknowledgments

A part of the work described in this paper was presented at the IEEE International Conference on Robotics and Automation (ICRA), Shanghai, China, 2011. Financial support for A. Asadian was also provided by an NSERC Collaborative Research and Training Experience (CREATE) Program Grant #371322-2009 in Computer-Assisted Medical Interventions (CAMI).

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Correspondence to Ali Asadian.

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Associate Editor Bahman Anvari oversaw the review of this article.

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Asadian, A., Patel, R.V. & Kermani, M.R. Dynamics of Translational Friction in Needle–Tissue Interaction During Needle Insertion. Ann Biomed Eng 42, 73–85 (2014). https://doi.org/10.1007/s10439-013-0892-5

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  • DOI: https://doi.org/10.1007/s10439-013-0892-5

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