298
A. Wittek et al.
propagation [59]. Therefore, development of meshless algorithms that facilitate
efficient and robust modelling of surgical dissection and injury-related rupture of
soft tissues provides the next challenge in surgery and injury simulation.
Acknowledgements This chapter uses the published results of research supported by the funding
from the Australian Government through the Australian Research Council (ARC) (Discovery
Project Grants DP160100714, DP1092893 and DP120100402) and National Health and Medical
Research Council (NHMRC) (Project Grants APP1006031 and APP1144519). The authors thank
Prof. King Hay Yang and Dr. Xin Jin of Bioengineering Centre and Biomedical Engineering
Department of Wayne State University for providing the experimental data used in the reference [58].
References
1. Wittek, A., Grosland, N., Joldes, G., Magnotta, V., Miller, K.: From finite element meshes to
clouds of points: a review of methods for generation of computational biomechanics models
for patient-specific applications. Ann. Biomed. Eng. 44, 3–15 (2016)
2. Wittek, A., Dutta-Roy, T., Taylor, Z., Horton, A., Washio, T., Chinzei, K., Miller, K.: Subjectspecific non-linear biomechanical model of needle insertion into brain. Comput. Methods
Biomech. Biomed. Engin. 11, 135–146 (2008)
3. Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., Krysl, P.: Meshless methods: an
overview and recent developments. Comput. Methods Appl. Mech. Eng. 139, 3–47 (1996)
4. Li, S., Liu, W.K.: Meshfree and particle methods and their applications. Appl. Mech. Rev. 55,
1–34 (2002)
5. Sukumar, N., Dolbow, J., Devan, A., Yvonnet, J., Chinesta, F., Ryckelynck, D., Lorong, P.,
Alfaro, I., Martínez, M.A., Cueto, E., Doblaré, M.: Meshless methods and partition of unity
finite elements. Int. J. Form. Process. 8, 409–427 (2005)
6. Horton, A., Wittek, A., Miller, K.: Towards meshless methods for surgical simulation. In:
Proceedings of the Computational Biomechanics for Medicine Workshop, Medical Image
Computing and Computer-Assisted Intervention MICCAI 2006, pp. 34–42 (2006)
7. Horton, A., Wittek, A., Joldes, G.R., Miller, K.: A meshless Total Lagrangian explicit dynamics
algorithm for surgical simulation. Int. J. Numer. Methods Biomed. Eng. 26, 977–998 (2010)
8. Doblare, M., Cueto, E., Calvo, B., Martinez, M.A., Garcia, J.M., Cegonino, J.: On the employ
of meshless methods in biomechanics. Comput. Methods Appl. Mech. Eng. 194, 801–821
(2005)
9. Horton, A., Wittek, A., Miller, K.: Subject-specific biomechanical simulation of brain indentation using a meshless method. Lect. Notes Comput. Sci. 4791, 541–548 (2007)
10. Zhang, G.Y., Wittek, A., Joldes, G.R., Jin, X., Miller, K.: A three-dimensional nonlinear
meshfree algorithm for simulating mechanical responses of soft tissue. Eng. Anal. Bound.
Elem. 42, 60–66 (2014)
11. Monaghan, J.J.: Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30, 543–
574 (1992)
12. Ionescu, I., Guilkey, J., Berzins, M., Kirby, R.M., Weiss, J.: Computational simulation of
penetrating trauma in biological soft tissues using the material point method. Stud. Health
Technol. Inform. 111, 213–218 (2005)
13. Hieber, S.S.E.: Remeshed smoothed particle hydrodynamics simulation of the mechanical
behavior of human organs. Technol. Health Care. 12, 305–314 (2004)
14. Wittek, A., Omori, K., Nakahira, Y.: Effects of brain-skull boundary conditions on responses
of simplified finite element brain model under angular acceleration in sagittal plane. In:
Proceedings of the Mechanical Engineering Congress, Tokushima, Japan, pp. 101–102. Japan
Society of Mechanical Engineers (2003)
A. Wittek et al.
propagation [59]. Therefore, development of meshless algorithms that facilitate
efficient and robust modelling of surgical dissection and injury-related rupture of
soft tissues provides the next challenge in surgery and injury simulation.
Acknowledgements This chapter uses the published results of research supported by the funding
from the Australian Government through the Australian Research Council (ARC) (Discovery
Project Grants DP160100714, DP1092893 and DP120100402) and National Health and Medical
Research Council (NHMRC) (Project Grants APP1006031 and APP1144519). The authors thank
Prof. King Hay Yang and Dr. Xin Jin of Bioengineering Centre and Biomedical Engineering
Department of Wayne State University for providing the experimental data used in the reference [58].
References
1. Wittek, A., Grosland, N., Joldes, G., Magnotta, V., Miller, K.: From finite element meshes to
clouds of points: a review of methods for generation of computational biomechanics models
for patient-specific applications. Ann. Biomed. Eng. 44, 3–15 (2016)
2. Wittek, A., Dutta-Roy, T., Taylor, Z., Horton, A., Washio, T., Chinzei, K., Miller, K.: Subjectspecific non-linear biomechanical model of needle insertion into brain. Comput. Methods
Biomech. Biomed. Engin. 11, 135–146 (2008)
3. Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., Krysl, P.: Meshless methods: an
overview and recent developments. Comput. Methods Appl. Mech. Eng. 139, 3–47 (1996)
4. Li, S., Liu, W.K.: Meshfree and particle methods and their applications. Appl. Mech. Rev. 55,
1–34 (2002)
5. Sukumar, N., Dolbow, J., Devan, A., Yvonnet, J., Chinesta, F., Ryckelynck, D., Lorong, P.,
Alfaro, I., Martínez, M.A., Cueto, E., Doblaré, M.: Meshless methods and partition of unity
finite elements. Int. J. Form. Process. 8, 409–427 (2005)
6. Horton, A., Wittek, A., Miller, K.: Towards meshless methods for surgical simulation. In:
Proceedings of the Computational Biomechanics for Medicine Workshop, Medical Image
Computing and Computer-Assisted Intervention MICCAI 2006, pp. 34–42 (2006)
7. Horton, A., Wittek, A., Joldes, G.R., Miller, K.: A meshless Total Lagrangian explicit dynamics
algorithm for surgical simulation. Int. J. Numer. Methods Biomed. Eng. 26, 977–998 (2010)
8. Doblare, M., Cueto, E., Calvo, B., Martinez, M.A., Garcia, J.M., Cegonino, J.: On the employ
of meshless methods in biomechanics. Comput. Methods Appl. Mech. Eng. 194, 801–821
(2005)
9. Horton, A., Wittek, A., Miller, K.: Subject-specific biomechanical simulation of brain indentation using a meshless method. Lect. Notes Comput. Sci. 4791, 541–548 (2007)
10. Zhang, G.Y., Wittek, A., Joldes, G.R., Jin, X., Miller, K.: A three-dimensional nonlinear
meshfree algorithm for simulating mechanical responses of soft tissue. Eng. Anal. Bound.
Elem. 42, 60–66 (2014)
11. Monaghan, J.J.: Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30, 543–
574 (1992)
12. Ionescu, I., Guilkey, J., Berzins, M., Kirby, R.M., Weiss, J.: Computational simulation of
penetrating trauma in biological soft tissues using the material point method. Stud. Health
Technol. Inform. 111, 213–218 (2005)
13. Hieber, S.S.E.: Remeshed smoothed particle hydrodynamics simulation of the mechanical
behavior of human organs. Technol. Health Care. 12, 305–314 (2004)
14. Wittek, A., Omori, K., Nakahira, Y.: Effects of brain-skull boundary conditions on responses
of simplified finite element brain model under angular acceleration in sagittal plane. In:
Proceedings of the Mechanical Engineering Congress, Tokushima, Japan, pp. 101–102. Japan
Society of Mechanical Engineers (2003)