Mechanics of Dynamic Needle Insertion into a Biological Material

During needle-based procedures, transitions between tissue layers often lead to rupture events that involve large forces and tissue deformations and produce uncontrollable crack extensions. In this paper, the mechanics of these rupture events is described, and the effect of insertion velocity on needle force, tissue deformation, and needle work is analyzed. Using the J integral method from fracture mechanics, rupture events are modeled as sudden crack extensions that occur when the release rate J of strain energy concentrated at the tip of the crack exceeds the fracture toughness of the material. It is shown that increasing the velocity of needle insertion will reduce the force of the rupture event when it increases the energy release rate. A nonlinear viscoelastic Kelvin model is then used to predict the relationship between the deformation of tissue and the rupture force at different velocities. The model predicts that rupture deformation and work asymptotically approach minimum values as needle velocity increases. Consequently, most of the benefit of using a higher needle velocity can be achieved using a finite velocity that is inversely proportional to the relaxation time of the tissue. Experiments confirm the analytical predictions with multilayered porcine cardiac tissue.

[1]  J. Rice,et al.  Plane strain deformation near a crack tip in a power-law hardening material , 1967 .

[2]  John W. Hutchinson,et al.  Singular behaviour at the end of a tensile crack in a hardening material , 1968 .

[3]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[4]  A. Atkins,et al.  Elastic and Plastic Fracture: Metals, Polymers, Ceramics, Composites, Biological Materials , 1985 .

[5]  K. K. Chan,et al.  The Mode of Action of Surgical Tissue Removing Devices , 1985, IEEE 1985 Ultrasonics Symposium.

[6]  M. Sato [Mechanical properties of living tissues]. , 1986, Iyo denshi to seitai kogaku. Japanese journal of medical electronics and biological engineering.

[7]  T. A. Thomas,et al.  Simulation of resistance forces acting on surgical needles , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[8]  J. Barbera,et al.  Contact mechanics , 1999 .

[9]  V. Hayward,et al.  Haptic Rendering of Cutting: A Fracture Mechanics Approach , 2001 .

[10]  Kenneth Y. Goldberg,et al.  Needle insertion and radioactive seed implantation in human tissues: simulation and sensitivity analysis , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[11]  Gregory S. Chirikjian,et al.  Nonholonomic Modeling of Needle Steering , 2006, Int. J. Robotics Res..

[12]  Anthony G. Atkins,et al.  Cutting, by ‘pressing and slicing,’ of thin floppy slices of materials illustrated by experiments on cheddar cheese and salami , 2004 .

[13]  Han-Wen Nienhuys,et al.  A computational technique for interactive needle insertions in 3D nonlinear material , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

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

[15]  Robert J. Webster,et al.  Design Considerations for Robotic Needle Steering , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[16]  P. Dupont,et al.  Trajectory Optimization for Dynamic Needle Insertion , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[17]  Septimiu E. Salcudean,et al.  Interactive simulation of needle insertion models , 2005, IEEE Transactions on Biomedical Engineering.

[18]  Kenneth Y. Goldberg,et al.  Constant-Curvature Motion Planning Under Uncertainty with Applications in Image-Guided Medical Needle Steering , 2006, WAFR.

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

[20]  Vinutha Kallem,et al.  Image-guided Control of Flexible Bevel-Tip Needles , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[21]  Daniel Glozman,et al.  Image-Guided Robotic Flexible Needle Steering , 2007, IEEE Transactions on Robotics.

[22]  Jaydev P. Desai,et al.  A biplanar fluoroscopic approach for the measurement, modeling, and simulation of needle and soft-tissue interaction , 2007, Medical Image Anal..

[23]  Vincent Hayward,et al.  Estimation of the Fracture Toughness of Soft Tissue from Needle Insertion , 2008, ISBMS.

[24]  S. Shankar Sastry,et al.  Screw-based motion planning for bevel-tip flexible needles in 3D environments with obstacles , 2008, 2008 IEEE International Conference on Robotics and Automation.

[25]  K J Macura,et al.  The importance of organ geometry and boundary constraints for planning of medical interventions. , 2009, Medical engineering & physics.