Kinematic Analysis of an Innovative Medical Parallel Robot Using Study Parameters
The paper investigates the kinematic analysis of an innovative 5-DOF parallel medical robot used for brachytherapy. Robotic assisted brachytherapy involves the targeted treatment of cancerous cells delivering high dosages of radiation inside the tumor, using as guiding tool a highly accurate robotic arm. The kinematic modeling of this mechanism is addressed using algebraic constraint varieties and the Study parametrization of the Euclidean displacement group. Algebraic methods in connection with classical multi-dimensional geometry have proven to be very efficient in the computation of direct and inverse kinematics of mechanisms as well as the explanation of strange, pathological behavior. The obtained results are simulated and compared with the results obtained by the evaluation of the determinants of the A and B Jacobi matrices. This complete kinematic analysis of the robot will largely increase its safety during the medical procedure.
KeywordsParallel robot Kinematics Study parameters Singularities analysis Brachytherapy
This paper was supported by the Project no. 173/2012, code PN-II-PCCA-2011-3.2-0414, entitled “Robotic assisted brachytherapy, an innovative approach of inoperable cancers - CHANCE” and the Bilateral Austria—Romania Project 745/2014, entitled “Developing methods to evaluate the accuracy of potential parallel robots for medical applications” both financed by UEFISCDI.
- 1.Bassan, et al.: A novel manipulator for 3D ultrasound guided percutaneous needle insertion. In: IEEE International Conference on Robotics and Automation, pp. 617–622 (2007)Google Scholar
- 2.Fischer, G.S., et al.: Design of a robot for transperineal prostate needle placement in MRI scanner. In: IEEE International Conference on Mechatronics, pp. 592–597 (2006)Google Scholar
- 4.Pisla, D., et al.: Innovative Approaches Regarding Robots for Brachytherapy. New Trends in Medical and Service Robots. MMS, vol. 20, pp. 63–78 (2014)Google Scholar
- 5.Pisla, D., Cocorean, D., Vaida, C., Gherman, B., Pisla, A., Plitea, N: Application oriented design and simulation of an innovative parallel robot for brachytherapy. In: Proceedings of the ASME 2014 International Conference—IDETC/CIE 2014, Buffalo, New York, USA (2014)Google Scholar
- 7.Plitea, N., et al.: Parallel robot for brachytherapy with two linkages for guiding a platform of CYL-U type, Patent pending: RO129698-A2 (2014)Google Scholar
- 9.Podder, T., Buzurovic, I., Huang, K., Yu, Y.: MIRAB: an image-guided multichannel robot for prostate brachytherapy, Bodine J. 3(1) (2010)Google Scholar
- 11.Study, E.: Geometrie der Dynamen. Teubner (1903)Google Scholar
- 12.Venselaar, J., Meigooni, A.S., Baltas, D., Hoskin, P.J. (eds): Comprehensive Brachytherapy: Physical and Clinical Aspects (Imaging in Medical Diagnosis and Therapy) (2012)Google Scholar
- 13.Walter, D.R., Husty, M.L.: On implicitization of kinematic constraint equations. Mach. Des. Res. 26, 132–151 (2010)Google Scholar
- 14.Yu, Y., et al.: Robot-assisted prostate brachytherapy. Med. Image Comput. Comput. Assist. Interv. 9(1), 41–49 (2006)Google Scholar