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

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.

[1]  Jaydev P. Desai,et al.  Reality-Based Estimation of Needle and Soft-Tissue Interaction for Accurate Haptic Feedback in Prostate Brachytherapy Simulation , 2005, ISRR.

[2]  Carlos Canudas-de-Wit,et al.  Dynamic Friction Models for Road/Tire Longitudinal Interaction , 2003 .

[3]  Shinichi Hirai,et al.  Robust real time material classification algorithm using soft three axis tactile sensor: Evaluation of the algorithm , 2015, 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[4]  Rajnikant V. Patel,et al.  A Novel Force Modeling Scheme for Needle Insertion Using Multiple Kalman Filters , 2012, IEEE Transactions on Instrumentation and Measurement.

[5]  Carlos Canudas de Wit,et al.  A new model for control of systems with friction , 1995, IEEE Trans. Autom. Control..

[6]  Kenneth Y. Goldberg,et al.  Motion Planning Under Uncertainty for Image-guided Medical Needle Steering , 2008, Int. J. Robotics Res..

[7]  M. Moallem,et al.  A Novel Manipulator for Percutaneous Needle Insertion: Design and Experimentation , 2009, IEEE/ASME Transactions on Mechatronics.

[8]  Allison M. Okamura,et al.  Force modeling for needle insertion into soft tissue , 2004, IEEE Transactions on Biomedical Engineering.

[9]  Jaydev P. Desai,et al.  Development of In Vivo Constitutive Models for Liver: Application to Surgical Simulation , 2011, Annals of Biomedical Engineering.

[10]  S. Shankar Sastry,et al.  Three-dimensional Motion Planning Algorithms for Steerable Needles Using Inverse Kinematics , 2010, Int. J. Robotics Res..

[11]  Jenny Dankelman,et al.  Needle-tissue interaction forces--a survey of experimental data. , 2012, Medical engineering & physics.

[12]  Allison M. Okamura,et al.  Modeling of Tool-Tissue Interactions for Computer-Based Surgical Simulation: A Literature Review , 2008, PRESENCE: Teleoperators and Virtual Environments.

[13]  Libor Preucil,et al.  European Robotics Symposium 2008 , 2008 .

[14]  Rajnikant V. Patel,et al.  A distributed model for needle-tissue friction in percutaneous interventions , 2011, 2011 IEEE International Conference on Robotics and Automation.

[15]  Bernard Bayle,et al.  In Vivo Model Estimation and Haptic Characterization of Needle Insertions , 2007, Int. J. Robotics Res..

[16]  Nathan A. Wood,et al.  Needle steering system using duty-cycled rotation for percutaneous kidney access , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[17]  Jin Seob Kim,et al.  Nonholonomic Modeling of Needle Steering , 2006, Int. J. Robotics Res..

[18]  Carlos Canudas de Wit,et al.  Friction Models and Friction Compensation , 1998, Eur. J. Control.

[19]  Sarthak Misra,et al.  Mechanics of needle-tissue interaction , 2011, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[20]  Septimiu E. Salcudean,et al.  Needle insertion modeling and simulation , 2003, IEEE Trans. Robotics Autom..

[21]  Rajni V. Patel,et al.  Minimization of needle deflection in robot‐assisted percutaneous therapy , 2007, The international journal of medical robotics + computer assisted surgery : MRCAS.

[22]  Septimiu E. Salcudean,et al.  Needle insertion modelling and simulation , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[23]  Rajnikant V. Patel,et al.  An analytical model for deflection of flexible needles during needle insertion , 2011, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[24]  Kyle B. Reed,et al.  Modeling and Control of Needles With Torsional Friction , 2009, IEEE Transactions on Biomedical Engineering.

[25]  Rajnikant V. Patel,et al.  Friction Identification and Compensation in Robotic Manipulators , 2007, IEEE Transactions on Instrumentation and Measurement.

[26]  Martin G. Scanlon,et al.  ANALYSIS OF THE ELASTIC MODULUS OF AGAR GEL BY INDENTATION , 1999 .

[27]  Allison M. Okamura,et al.  Measurement of the Tip and Friction Force Acting on a Needle during Penetration , 2002, MICCAI.

[28]  Pierre E. Dupont,et al.  Mechanics of Dynamic Needle Insertion into a Biological Material , 2010, IEEE Transactions on Biomedical Engineering.

[29]  Rajni V. Patel,et al.  Needle insertion into soft tissue: a survey. , 2007, Medical engineering & physics.

[30]  Tarun Kanti Podder,et al.  Needle Insertion Force Estimation Model using Procedure-specific and Patient-specific Criteria , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[31]  Rajnikant V. Patel,et al.  Compensation for relative velocity between needle and soft tissue for friction modeling in needle insertion , 2012, 2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.