270
A. Wittek et al.
15. Bro-Nielsen, M., Cotin, S.: Real-time volumetric deformable models for surgery simulation
using finite elements and condensation. Comput. Graphics Forum. 15, 57–66 (1996)
16. DiMaio, S.P., Salcudean, S.E.: Interactive simulation of needle insertion models. IEEE Trans.
Biomed. Eng. 52, 1167–1179 (2005)
17. Warfield, S.K., Talos, F., Tei, A., Bharatha, A., Nabavi, A., Ferrant, M., Black, P.M., Jolesz,
F.A., Kikinis, R.: Real-time registration of volumetric brain MRI by biomechanical simulation
of deformation during image guided neurosurgery. Comput. Vis. Sci. 5, 3–11 (2002)
18. Dumpuri, P., Thompson, R.C., Cao, A., Ding, S., Garg, I., Dawant, B.M., Miga, M.I.: A fast
and efficient method to compensate for brain shift for tumor resection therapies measured
between pre-operative and post-operative tomograms. I.E.E.E. Trans. Biomed. Eng. 57, 1285–
1296 (2010)
19. Dumpuri, P., Thompson, R.C., Dawant, B.M., Cao, A., Miga, M.I.: An atlas-based method to
compensate for brain shift: preliminary results. Med. Image Anal. 11, 128–145 (2007)
20. Roberts, D.W., Hartov, A., Kennedy, F.E., Miga, M.I., Paulsen, K.D.: Intraoperative brain shift
and deformation: a quantitative analysis of cortical displacement in 28 cases. Neurosurgery.
43, 749–758 (1998)
21. 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)
22. Wittek, A., Hawkins, T., Miller, K.: On the unimportance of constitutive models in computing
brain deformation for image-guided surgery. Biomech. Model. Mechanobiol. 8, 77–84 (2009)
23. Belytschko, T.: A survey of numerical methods and computer programs for dynamic structural
analysis. Nucl. Eng. Des. 37, 23–34 (1976)
24. Yang, K.H.: Basic Finite Element Method as Applied to Injury Biomechanics. Academic Press,
Cambridge, MA, USA (2018)
25. Cook, R.D., Malkus, D.S., Plesha, M.E.: Finite elements in dynamics and vibrations. In:
Concepts and Applications of Finite Element Analysis, pp. 367–428. Wiley, New York (1989)
26. Hughes, T.J.R.: Analysis of transient algorithms with particular reference to stability behavior.
In: Belytschko, T., Hughes, T.J.R. (eds.) Computational Methods for Transient Analysis, vol.
1, pp. 67–155. North-Holland, Amsterdam (1983)
27. Belytschko, T.: An overview of semidiscretization and time integration procedures. In:
Belytschko, T., Hughes, T.J.R. (eds.) Computational Methods for Transient Analysis, vol. 1,
pp. 1–66. North-Holland, Amsterdam (1983)
28. Olovsson, L., Simonsson, K., Unosson, M.: Selective mass scaling for explicit finite element
analyses. Int. J. Numer. Methods Eng. 63, 1436–1445 (2005)
29. Pan, F., Zhu, J., Helminen, A.O., Vatanparast, F.: Three point bending analysis of a mobile
phone using LS-DYNA explicit integration method. In: Mindle, W.L. (ed.) 9th International
LS-DYNA Users Conference. Livermore Software Technology Corporation, Dearborn, MI,
USA (2006)
30. Majumder, S., Roychowdhury, A., Subrata, P.: Three-dimensional finite element simulation of
pelvic fracture during side impact with pelvis-femur-soft tissue complex. Int. J. Crashworthiness. 13, 313–329 (2008)
31. Cocchetti, G., Pagani, M., Perego, U.: Selective mass scaling and critical time-step estimate
for explicit dynamics analyses with solid-shell elements. Comput. Struct. 127, 39–52 (2013)
32. Flanagan, D.P., Belytschko, T.: A uniform strain hexahedron and quadrilateral with orthogonal
hourglass control. Int. J. Numer. Methods Eng. 17, 679–706 (1981)
33. Cifuentes, A.O., Kalbag, A.: A performance study of tetrahedral and hexahedral elements in
3-D finite element structural analysis. Finite Elem. Anal. Des. 12, 313–318 (1992)
34. Cook, R.D., Malkus, D.S., Plesha, M.E.: Concepts and Applications of Finite Element
Analysis. Wiley, New York (1989)
35. Hughes, T.J.R.: The Finite Element Method: Linear Static and Dynamic Finite Element
Analysis. Dover Publications, Mineola (2000)
36. Rojek, J., Oñate, E., Postek, E.: Application of explicit FE codes to simulation of sheet and
bulk metal forming processes. J. Mater. Process. Technol. 80-81, 620–627 (1998)
A. Wittek et al.
15. Bro-Nielsen, M., Cotin, S.: Real-time volumetric deformable models for surgery simulation
using finite elements and condensation. Comput. Graphics Forum. 15, 57–66 (1996)
16. DiMaio, S.P., Salcudean, S.E.: Interactive simulation of needle insertion models. IEEE Trans.
Biomed. Eng. 52, 1167–1179 (2005)
17. Warfield, S.K., Talos, F., Tei, A., Bharatha, A., Nabavi, A., Ferrant, M., Black, P.M., Jolesz,
F.A., Kikinis, R.: Real-time registration of volumetric brain MRI by biomechanical simulation
of deformation during image guided neurosurgery. Comput. Vis. Sci. 5, 3–11 (2002)
18. Dumpuri, P., Thompson, R.C., Cao, A., Ding, S., Garg, I., Dawant, B.M., Miga, M.I.: A fast
and efficient method to compensate for brain shift for tumor resection therapies measured
between pre-operative and post-operative tomograms. I.E.E.E. Trans. Biomed. Eng. 57, 1285–
1296 (2010)
19. Dumpuri, P., Thompson, R.C., Dawant, B.M., Cao, A., Miga, M.I.: An atlas-based method to
compensate for brain shift: preliminary results. Med. Image Anal. 11, 128–145 (2007)
20. Roberts, D.W., Hartov, A., Kennedy, F.E., Miga, M.I., Paulsen, K.D.: Intraoperative brain shift
and deformation: a quantitative analysis of cortical displacement in 28 cases. Neurosurgery.
43, 749–758 (1998)
21. 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)
22. Wittek, A., Hawkins, T., Miller, K.: On the unimportance of constitutive models in computing
brain deformation for image-guided surgery. Biomech. Model. Mechanobiol. 8, 77–84 (2009)
23. Belytschko, T.: A survey of numerical methods and computer programs for dynamic structural
analysis. Nucl. Eng. Des. 37, 23–34 (1976)
24. Yang, K.H.: Basic Finite Element Method as Applied to Injury Biomechanics. Academic Press,
Cambridge, MA, USA (2018)
25. Cook, R.D., Malkus, D.S., Plesha, M.E.: Finite elements in dynamics and vibrations. In:
Concepts and Applications of Finite Element Analysis, pp. 367–428. Wiley, New York (1989)
26. Hughes, T.J.R.: Analysis of transient algorithms with particular reference to stability behavior.
In: Belytschko, T., Hughes, T.J.R. (eds.) Computational Methods for Transient Analysis, vol.
1, pp. 67–155. North-Holland, Amsterdam (1983)
27. Belytschko, T.: An overview of semidiscretization and time integration procedures. In:
Belytschko, T., Hughes, T.J.R. (eds.) Computational Methods for Transient Analysis, vol. 1,
pp. 1–66. North-Holland, Amsterdam (1983)
28. Olovsson, L., Simonsson, K., Unosson, M.: Selective mass scaling for explicit finite element
analyses. Int. J. Numer. Methods Eng. 63, 1436–1445 (2005)
29. Pan, F., Zhu, J., Helminen, A.O., Vatanparast, F.: Three point bending analysis of a mobile
phone using LS-DYNA explicit integration method. In: Mindle, W.L. (ed.) 9th International
LS-DYNA Users Conference. Livermore Software Technology Corporation, Dearborn, MI,
USA (2006)
30. Majumder, S., Roychowdhury, A., Subrata, P.: Three-dimensional finite element simulation of
pelvic fracture during side impact with pelvis-femur-soft tissue complex. Int. J. Crashworthiness. 13, 313–329 (2008)
31. Cocchetti, G., Pagani, M., Perego, U.: Selective mass scaling and critical time-step estimate
for explicit dynamics analyses with solid-shell elements. Comput. Struct. 127, 39–52 (2013)
32. Flanagan, D.P., Belytschko, T.: A uniform strain hexahedron and quadrilateral with orthogonal
hourglass control. Int. J. Numer. Methods Eng. 17, 679–706 (1981)
33. Cifuentes, A.O., Kalbag, A.: A performance study of tetrahedral and hexahedral elements in
3-D finite element structural analysis. Finite Elem. Anal. Des. 12, 313–318 (1992)
34. Cook, R.D., Malkus, D.S., Plesha, M.E.: Concepts and Applications of Finite Element
Analysis. Wiley, New York (1989)
35. Hughes, T.J.R.: The Finite Element Method: Linear Static and Dynamic Finite Element
Analysis. Dover Publications, Mineola (2000)
36. Rojek, J., Oñate, E., Postek, E.: Application of explicit FE codes to simulation of sheet and
bulk metal forming processes. J. Mater. Process. Technol. 80-81, 620–627 (1998)