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L. E. Bilston
68. Budday, S., Sommer, G., Holzapfel, G.A., Steinmann, P., Kuhl, E.: Viscoelastic parameter
identification of human brain tissue. J. Mech. Behav. Biomed. Mater. 74, 463–476 (2017)
69. Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11, 582–592 (1940)
70. Rivlin, R.: Large elastic deformations of isotropic materials IV. Further developments of the
general theory. Phil. Trans. R. Soc. Lond. A. 241, 379–397 (1948)
71. Ogden, R.W.: Large deformation isotropic elasticity - on the correlation of theory and
experiment for incompressible rubberlike solids. Proc. R. Soc. Lond. A Math. Phys. Sci. 326,
565–584 (1972)
72. 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)
73. Dutta-Roy, T., Wittek, A., Miller, K.: Biomechanical modelling of normal pressure hydrocephalus. J. Biomech. 41, 2263–2271 (2008)
74. Cheng, S., Bilston, L.E.: Computational model of the cerebral ventricles in hydrocephalus. J.
Biomech. Eng. 132, 054501–054504 (2010)
75. Ruan, J.S., Khalil, T., King, A.I.: Dynamic response of the human head to impact by threedimensional finite element analysis. J. Biomech. Eng. 116, 44–50 (1994)
76. Zhang, L., Yang, K.H., King, A.I.: Comparison of brain responses between frontal and lateral
impacts by finite element modeling. J. Neurotrauma. 18, 21–30 (2001)
77. Ho, J., Kleiven, S.: Can sulci protect the brain from traumatic injury? J. Biomech. 42, 2074–
2080 (2009)
78. Kleiven, S.: Influence of impact direction on the human head in prediction of subdural
hematoma. J. Neurotrauma. 20, 365–379 (2003)
79. de Rooij, R., Kuhl, E.: Constitutive modeling of brain tissue: current perspectives. Appl. Mech.
Rev. 68, 010801 (2016)
80. Prange, M.T., Margulies, S.S.: Regional, directional, and age-dependent properties of the brain
undergoing large deformation. J. Biomech. Eng. 124, 244–252 (2002)
81. Coats, B., Margulies, S.S.: Material properties of porcine parietal cortex. J. Biomech. 39, 2521–
2525 (2006)
82. Jin, X., Zhu, F., Mao, H., Shen, M., Yang, K.H.: A comprehensive experimental study on
material properties of human brain tissue. J. Biomech. 46, 2795–2801 (2013)
83. Brands, D.W.A., Peters, G.W.M., Bovendeerd, P.H.M.: Design and numerical implementation
of a 3-D non-linear viscoelastic constitutive model for brain tissue during impact. J. Biomech.
37, 127–134 (2004)
84. Libertiaux, V., Pascon, F., Cescotto, S.: Experimental verification of brain tissue incompressibility using digital image correlation. J. Mech. Behav. Biomed. Mater. 4, 1177–1185 (2011)
85. Gefen, A., Gefen, N., Zhu, Q., Raghupathi, R., Margulies, S.S.: Age-dependent changes in
material properties of the brain and braincase of the rat. J. Neurotrauma. 20, 1163–1177 (2003)
86. Thibault, K.L., Margulies, S.S.: Age-dependent material properties of the porcine cerebrum:
effect on pediatric inertial head injury criteria. J. Biomech. 31, 1119–1126 (1998)
87. Weaver, J.B., Perrinez, P.R., Bergeron, J.A., Kennedy, F.E., Wang, H., Lollis, S.S., Doyley,
M.M., Hoopes, P.J., Paulsen, K.D.: The effects of interstitial tissue pressure on the measured
shear modulus in vivo. In: Manduca, A., Hu, X.P. (eds.) Medical imaging: physiology, function,
and structure from medical images, Proc. of SPIE, pp. 1A-1–1A-11, SPIE (2007)
88. Metz, H., McElhaney, J., Ommaya, A.K.: A comparison of the elasticity of live, dead, and fixed
brain tissue. J. Biomech. 3, 453–458 (1970)
89. Guertler, C.A., Okamoto, R.J., Schmidt, J.L., Badachhape, A.A., Johnson, C.L., Bayly,
P.V.: Mechanical properties of porcine brain tissue in vivo and ex vivo estimated by MR
elastography. J. Biomech. 69, 10–18 (2018)
90. Garo, A., Hrapko, M., van Dommelen, J.A.W., Peters, G.W.M.: Towards a reliable characterisation of the mechanical behaviour of brain tissue: the effects of post-mortem time and sample
preparation. Biorheology. 44, 51–59 (2007)
91. Gefen, A., Margulies, S.S.: Are in vivo and in situ brain tissues mechanically similar? J.
Biomech. 37, 1339–1352 (2004)
L. E. Bilston
68. Budday, S., Sommer, G., Holzapfel, G.A., Steinmann, P., Kuhl, E.: Viscoelastic parameter
identification of human brain tissue. J. Mech. Behav. Biomed. Mater. 74, 463–476 (2017)
69. Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11, 582–592 (1940)
70. Rivlin, R.: Large elastic deformations of isotropic materials IV. Further developments of the
general theory. Phil. Trans. R. Soc. Lond. A. 241, 379–397 (1948)
71. Ogden, R.W.: Large deformation isotropic elasticity - on the correlation of theory and
experiment for incompressible rubberlike solids. Proc. R. Soc. Lond. A Math. Phys. Sci. 326,
565–584 (1972)
72. 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)
73. Dutta-Roy, T., Wittek, A., Miller, K.: Biomechanical modelling of normal pressure hydrocephalus. J. Biomech. 41, 2263–2271 (2008)
74. Cheng, S., Bilston, L.E.: Computational model of the cerebral ventricles in hydrocephalus. J.
Biomech. Eng. 132, 054501–054504 (2010)
75. Ruan, J.S., Khalil, T., King, A.I.: Dynamic response of the human head to impact by threedimensional finite element analysis. J. Biomech. Eng. 116, 44–50 (1994)
76. Zhang, L., Yang, K.H., King, A.I.: Comparison of brain responses between frontal and lateral
impacts by finite element modeling. J. Neurotrauma. 18, 21–30 (2001)
77. Ho, J., Kleiven, S.: Can sulci protect the brain from traumatic injury? J. Biomech. 42, 2074–
2080 (2009)
78. Kleiven, S.: Influence of impact direction on the human head in prediction of subdural
hematoma. J. Neurotrauma. 20, 365–379 (2003)
79. de Rooij, R., Kuhl, E.: Constitutive modeling of brain tissue: current perspectives. Appl. Mech.
Rev. 68, 010801 (2016)
80. Prange, M.T., Margulies, S.S.: Regional, directional, and age-dependent properties of the brain
undergoing large deformation. J. Biomech. Eng. 124, 244–252 (2002)
81. Coats, B., Margulies, S.S.: Material properties of porcine parietal cortex. J. Biomech. 39, 2521–
2525 (2006)
82. Jin, X., Zhu, F., Mao, H., Shen, M., Yang, K.H.: A comprehensive experimental study on
material properties of human brain tissue. J. Biomech. 46, 2795–2801 (2013)
83. Brands, D.W.A., Peters, G.W.M., Bovendeerd, P.H.M.: Design and numerical implementation
of a 3-D non-linear viscoelastic constitutive model for brain tissue during impact. J. Biomech.
37, 127–134 (2004)
84. Libertiaux, V., Pascon, F., Cescotto, S.: Experimental verification of brain tissue incompressibility using digital image correlation. J. Mech. Behav. Biomed. Mater. 4, 1177–1185 (2011)
85. Gefen, A., Gefen, N., Zhu, Q., Raghupathi, R., Margulies, S.S.: Age-dependent changes in
material properties of the brain and braincase of the rat. J. Neurotrauma. 20, 1163–1177 (2003)
86. Thibault, K.L., Margulies, S.S.: Age-dependent material properties of the porcine cerebrum:
effect on pediatric inertial head injury criteria. J. Biomech. 31, 1119–1126 (1998)
87. Weaver, J.B., Perrinez, P.R., Bergeron, J.A., Kennedy, F.E., Wang, H., Lollis, S.S., Doyley,
M.M., Hoopes, P.J., Paulsen, K.D.: The effects of interstitial tissue pressure on the measured
shear modulus in vivo. In: Manduca, A., Hu, X.P. (eds.) Medical imaging: physiology, function,
and structure from medical images, Proc. of SPIE, pp. 1A-1–1A-11, SPIE (2007)
88. Metz, H., McElhaney, J., Ommaya, A.K.: A comparison of the elasticity of live, dead, and fixed
brain tissue. J. Biomech. 3, 453–458 (1970)
89. Guertler, C.A., Okamoto, R.J., Schmidt, J.L., Badachhape, A.A., Johnson, C.L., Bayly,
P.V.: Mechanical properties of porcine brain tissue in vivo and ex vivo estimated by MR
elastography. J. Biomech. 69, 10–18 (2018)
90. Garo, A., Hrapko, M., van Dommelen, J.A.W., Peters, G.W.M.: Towards a reliable characterisation of the mechanical behaviour of brain tissue: the effects of post-mortem time and sample
preparation. Biorheology. 44, 51–59 (2007)
91. Gefen, A., Margulies, S.S.: Are in vivo and in situ brain tissues mechanically similar? J.
Biomech. 37, 1339–1352 (2004)