ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

1006031) is gratefully acknowledged. The experimental results used in this study were
obtained from the project supported in part by the NIH grant no. NS46389-2 from the
National Institute of Neurological Disorders and Stroke.
7. REFERENCES
[1] Willinger R. and Baumgartner D., Numerical and physical modelling of the
human head under impact - towards new injury criteria, Int. J. Veh. Des., 2003,
Vol. 32, 94-115.
[2] Zhang L., Yang K. H. and King A. I., Comparison of brain responses between
frontal and lateral impacts by finite element modelling, J. Neurotraum., 2001, Vol.
18, 21-30.
[3] Wittek A., Dutta-Roy T., Taylor Z., Horton A., Washio T., Chinzei K. and Miller
K., Subject-specific non-linear biomechanical model of needle insertion into
brain, Comput. Meth. Biomech. Biomed. Eng., 2008, Vol. 11, 135-46.
[4] Taylor Z. A., Cheng M. and Ourselin S., High-speed nonlinear finite element
analysis for surgical simulation using graphics processing units, IEEE Trans.
Med. Imaging, 2008, Vol. 27, 650-63.
[5] Joldes G. R., Wittek A. and Miller K., Real-time nonlinear finite element
computations on GPU - application to neurosurgical simulation, Comput. Meth.
Appl. Mech. Eng., 2010, Vol. 199, 3305-14.
[6] Yang K. H., Mao H., Wagner C., Zhu F., Chou C. C. and King A. I., Modeling of
the brain for injury prevention, in Biomechanics of the Brain , Miller, K., Ed.:
Springer Berlin Heidelberg, 2011, 69-120.
[7] Belytschko T., Krongauz Y., Organ D., Fleming M. and Krysl P., Meshless
methods: An overview and recent developments, Comput. Meth. Appl. Mech.
Eng., 1996, Vol. 139, 3-47.
[8] Horton A., Wittek A., Joldes G. R. and Miller K., A meshless Total Lagrangian
explicit dynamics algorithm for surgical simulation, Int. J. Numer. Meth.
Biomed. Eng., 2010, Vol. 26, 977-98.
[9] Miller K., Joldes G., Lance D. and Wittek A., Total Lagrangian explicit dynamics
finite element algorithm for computing soft tissue deformation, Commun. Numer.
Meth. Eng., 2007, Vol. 23, 121-34.
[10] Osher S. and Sethian J. A., Fronts propagating with curvature-dependent speed:
Algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys., 1988, Vol.
79, 12-49.
[11] Stolarska M., Chopp D. L., Moës N. and Belytschko T., Modelling crack growth
by level sets in the extended finite element method, Int. J. Numer. Meth. Eng.,
2001, Vol. 51, 943-60.
[12] Jin X., Joldes G. R., Miller K., Yang K. H. and Wittek A., Meshless algorithm for
simulation of soft tissue cutting for computer-integrated surgery, Comput. Meth.
Biomech. Biomed. Eng., Submitted, 2011.
[13] Jin X., Lee J. B., Leung L. Y., Zhang L., Yang K. H. and King A. I.,
Biomechanical response of the bovine pia-arachnoid complex to tensile loading at
varying strain-rates, Stapp Car Crash J., 2006, Vol. 50, 637-49.
[14] Quapp K. M. and Weiss J. A., Material characterization of human medial
collateral ligament, J. Biomech. Eng., 1998, Vol. 120, 757-63.
[15] Jin X., Biomechanical response and constitutive modeling of bovine pia-arachnoid
complex, Ph.D. thesis, Wayne State University, USA -- Michigan, 2009.