160
K. Miller et al.
31. Belytschko, T., Lu, Y.Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Methods Eng.
37, 229–256 (1994)
32. Liu, G.R.: Mesh Free Methods: Moving Beyond the Finite Element Method. CRC Press, Boca
Raton (2003)
33. Li, S., Liu, W.K.: Meshfree Particle Methods. Springer-Verlag Berlin Heidelberg (2004)
34. Horton, A., Wittek, A., Joldes, G., Miller, K.: A meshless Total Lagrangian explicit dynamics
algorithm for surgical simulation. Int. J. Numer. Methods Biomed. Eng. 26, 117–138 (2010)
35. Zhang, J.Y., Joldes, G.R., Wittek, A., Horton, A., Warfield, S.K., Miller, K.: Neuroimage as
a biomechanical model. Towards new computational biomechanics of the brain. In: Nielsen,
P.M.F., Miller, K., Wittek, A. (eds.) Computational Biomechanics for Medicine: Deformation
and Flow, pp. 19–28. Springer, New York (2012)
36. Miller, K., Horton, A., Joldes, G., Wittek, A.: Beyond finite elements: a comprehensive,
patient-specific neurosurgical simulation utilising a meshless method. J. Biomech. (2012).
Accepted for publication on 31 July 2012
37. Hagemann, A., Rohr, K., Stiehl, H.S., Spetzger, U., Gilsbach, J.M.: Biomechanical modeling
of the human head for physically based, nonrigid image registration. IEEE Trans. Med.
Imaging – Special Issue Model-Based Anal Med Images. 18(10), 875–884 (1999)
38. Miga, M.I., Paulsen, K.D., Hoopes, P.J., Kennedy, F.E., Hartov, A., Roberts, D.W.: In vivo
quantification of a homogenous brain deformation model for updating preoperative images
during surgery. IEEE Trans. Biomed. Eng. 47(2), 266–273 (2000)
39. Wittek, A., Omori, K.: Parametric study of effects of brain-skull boundary conditions and
brain material properties on responses of simplified finite element brain model under angular
acceleration in sagittal plane. JSME Int. J. 46(4), 1388–1398 (2003)
40. Wittek, A., Kikinis, R., Warfield, S.K., Miller, K.: Brain shift computation using a fully nonlinear biomechanical model. In: 8th International Conference on Medical Image Computing
and Computer Assisted Surgery MICCAI 2005. Palm Springs (2005)
41. 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)
42. Dutta-Roy, T., Wittek, A., Miller, K.: Biomechanical modelling of Normal pressure hydrocephalus. J. Biomech. 41(10), 2263–2271 (2008)
43. Mostayed, A., Garlapati, R.R., Joldes, G.R., Wittek, A., Kikinis, R., Warfield, S.K., Miller, K.:
Intraoperative update of neuro-images: comparison of performance of image warping using
patient-specific biomechanical model and BSpline image registration. In: Wittek A., Miller
K., Nielsen P.M.F. (eds) Computational Biomechanics for Medicine: Models, Algorithms and
Implementation, pp. 127–141. Springer, New York (2013)
44. Hu, J., Jin, X., Lee, J.B., Zhang, L., Chaudhary, V., Guthikonda, M., Yang, K.H., King, A.I.:
Intraoperative brain shift prediction using a 3D inhomogeneous patient-specific finite element
model. J. Neurosurg. 106, 164–169 (2007)
45. Joldes, G.R., Wittek, A., Miller, K.: Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation. Med. Image Anal. 13(6), 912–919
(2009)
46. Joldes, G.R., Wittek, A., Miller, K., Morriss, L.: Realistic and efficient brain-skull interaction
model for brain shift computation. In: Computational Biomechanics for Medicine III
Workshop, MICCAI. New-York (2008)
47. Yin, Z., Hughes, J.D., Glaser, K.J., Manduca, A., Van Gompel, J., Link, M.J., Romano, A.,
Ehman, R.L., Huston 3rd, J.: Slip interface imaging based on MR-elastography preoperatively
predicts meningioma-brain adhesion. J. Magn. Reson. Imaging. 46(4), 1007–1016 (2017)
48. Jin, X.: Biomechanical Response and Constitutive Modeling of Bovine Pia-Arachnoid
Complex. Wayne State University, Detroit, Michigan, USA (2009)
49. Agrawal, S., Wittek, A., Joldes, G.R., Bunt, S., Miller, K.: Mechanical properties of brainskull interface in compression. In: Doyle, B.J., Miller, K., Wittek, A., Nielsen, P.M.F. (eds.)
Computational Biomechanics for Medicine: New Approaches and New Applications, pp. 83–
91. Springer, New York (2015)
K. Miller et al.
31. Belytschko, T., Lu, Y.Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Methods Eng.
37, 229–256 (1994)
32. Liu, G.R.: Mesh Free Methods: Moving Beyond the Finite Element Method. CRC Press, Boca
Raton (2003)
33. Li, S., Liu, W.K.: Meshfree Particle Methods. Springer-Verlag Berlin Heidelberg (2004)
34. Horton, A., Wittek, A., Joldes, G., Miller, K.: A meshless Total Lagrangian explicit dynamics
algorithm for surgical simulation. Int. J. Numer. Methods Biomed. Eng. 26, 117–138 (2010)
35. Zhang, J.Y., Joldes, G.R., Wittek, A., Horton, A., Warfield, S.K., Miller, K.: Neuroimage as
a biomechanical model. Towards new computational biomechanics of the brain. In: Nielsen,
P.M.F., Miller, K., Wittek, A. (eds.) Computational Biomechanics for Medicine: Deformation
and Flow, pp. 19–28. Springer, New York (2012)
36. Miller, K., Horton, A., Joldes, G., Wittek, A.: Beyond finite elements: a comprehensive,
patient-specific neurosurgical simulation utilising a meshless method. J. Biomech. (2012).
Accepted for publication on 31 July 2012
37. Hagemann, A., Rohr, K., Stiehl, H.S., Spetzger, U., Gilsbach, J.M.: Biomechanical modeling
of the human head for physically based, nonrigid image registration. IEEE Trans. Med.
Imaging – Special Issue Model-Based Anal Med Images. 18(10), 875–884 (1999)
38. Miga, M.I., Paulsen, K.D., Hoopes, P.J., Kennedy, F.E., Hartov, A., Roberts, D.W.: In vivo
quantification of a homogenous brain deformation model for updating preoperative images
during surgery. IEEE Trans. Biomed. Eng. 47(2), 266–273 (2000)
39. Wittek, A., Omori, K.: Parametric study of effects of brain-skull boundary conditions and
brain material properties on responses of simplified finite element brain model under angular
acceleration in sagittal plane. JSME Int. J. 46(4), 1388–1398 (2003)
40. Wittek, A., Kikinis, R., Warfield, S.K., Miller, K.: Brain shift computation using a fully nonlinear biomechanical model. In: 8th International Conference on Medical Image Computing
and Computer Assisted Surgery MICCAI 2005. Palm Springs (2005)
41. 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)
42. Dutta-Roy, T., Wittek, A., Miller, K.: Biomechanical modelling of Normal pressure hydrocephalus. J. Biomech. 41(10), 2263–2271 (2008)
43. Mostayed, A., Garlapati, R.R., Joldes, G.R., Wittek, A., Kikinis, R., Warfield, S.K., Miller, K.:
Intraoperative update of neuro-images: comparison of performance of image warping using
patient-specific biomechanical model and BSpline image registration. In: Wittek A., Miller
K., Nielsen P.M.F. (eds) Computational Biomechanics for Medicine: Models, Algorithms and
Implementation, pp. 127–141. Springer, New York (2013)
44. Hu, J., Jin, X., Lee, J.B., Zhang, L., Chaudhary, V., Guthikonda, M., Yang, K.H., King, A.I.:
Intraoperative brain shift prediction using a 3D inhomogeneous patient-specific finite element
model. J. Neurosurg. 106, 164–169 (2007)
45. Joldes, G.R., Wittek, A., Miller, K.: Suite of finite element algorithms for accurate computation of soft tissue deformation for surgical simulation. Med. Image Anal. 13(6), 912–919
(2009)
46. Joldes, G.R., Wittek, A., Miller, K., Morriss, L.: Realistic and efficient brain-skull interaction
model for brain shift computation. In: Computational Biomechanics for Medicine III
Workshop, MICCAI. New-York (2008)
47. Yin, Z., Hughes, J.D., Glaser, K.J., Manduca, A., Van Gompel, J., Link, M.J., Romano, A.,
Ehman, R.L., Huston 3rd, J.: Slip interface imaging based on MR-elastography preoperatively
predicts meningioma-brain adhesion. J. Magn. Reson. Imaging. 46(4), 1007–1016 (2017)
48. Jin, X.: Biomechanical Response and Constitutive Modeling of Bovine Pia-Arachnoid
Complex. Wayne State University, Detroit, Michigan, USA (2009)
49. Agrawal, S., Wittek, A., Joldes, G.R., Bunt, S., Miller, K.: Mechanical properties of brainskull interface in compression. In: Doyle, B.J., Miller, K., Wittek, A., Nielsen, P.M.F. (eds.)
Computational Biomechanics for Medicine: New Approaches and New Applications, pp. 83–
91. Springer, New York (2015)