4 Brain Tissue Mechanical Properties
93
43. Arbogast, K.B., Meaney, D. F., and Thibault, L. E: Biomechanical characterization of the
constitutive relationship for the brainstem. Paper presented at Proceedings of the 39th Stapp
Car Crash Conference, SAE, Coronado, CA (1995)
44. Darvish, K.K., Crandall, J.R.: Nonlinear viscoelastic effects in oscillatory shear deformation
of brain tissue. Med. Eng. Phys. 23, 633–645 (2001)
45. Fallenstein, G.T., Hulce, V.D., Melvin, J.W.: Dynamic mechanical properties of human brain
tissue. J. Biomech. 2, 217–226 (1969)
46. Tan, K., Cheng, S., Jugé, L., Bilston, L.E.: Characterising soft tissues under large amplitude
oscillatory shear and combined loading. J. Biomech. 46, 1060–1066 (2013)
47. Bilston, L.E., Liu, Z., Phan-Thien, N.: Large strain behaviour of brain tissue in shear: some
experimental data and differential constitutive model. Biorheology. 38, 335–345 (2001)
48. Takhounts, E., Crandall, J.R., Darvish, K.: On the importance of nonlinearity of brain tissue
under large deformations. Stapp Car Crash J. 47, 79–92 (2003)
49. Ferry, J.: Viscoelastic properties of polymers, 641 pp. Wiley, New York (1980)
50. Donnelly, B.R., Medige, J.: Shear properties of human brain tissue. J. Biomech. Eng. 119,
423–432 (1997)
51. Estes, M.S., McElhaney, J.H.: Response of brain tissue to compressive loading, ASME Paper
70-BHF-13 (1970)
52. Miller, K., Chinzei, K.: Constitutive modelling of brain tissue: experiment and theory. J.
Biomech. 30, 1115–1121 (1997)
53. Cheng, S., Bilston, L.E.: Unconfined compression of white matter. J. Biomech. 40, 117–124
(2007)
54. Tamura, A., Hayashi, S., Watanabe, I., Nagayama, K., Matsumoto, T.: Mechanical characterization of brain tissue in high-rate compression. J. Biomech. Sci. Eng. 2, 115–126 (2007)
55. Pervin, F., Chen, W.W.: Dynamic mechanical response of bovine gray matter and white matter
brain tissues under compression. J. Biomech. 42, 731–735 (2009)
56. Rashid, B., Destrade, M., Gilchrist, M.D.: Mechanical characterization of brain tissue in
compression at dynamic strain rates. J. Mech. Behav. Biomed. Mater. 10, 23–38 (2012)
57. Miller, K., Chinzei, K., Orssengo, G., Bednarz, P.: Mechanical properties of brain tissue invivo: experiment and computer simulation. J. Biomech. 33, 1369–1376 (2000)
58. Miller, K.: Modelling soft tissue using biphasic theory — a word of caution. Comput. Methods
Biomech. Biomed. Eng. 1, 261–263 (1998)
59. Chinzei, K., Miller, K.: Compression of swine brain tissue: experiment in vitro. J. Mech. Eng.
Lab. 50, 106–115 (1996)
60. Taylor, Z., Miller, K.: Reassessment of brain elasticity for analysis of biomechanisms of
hydrocephalus. J. Biomech. 37, 1263–1269 (2004)
61. Franceschini, G., Bigoni, D., Regitnig, P., Holzapfel, G.A.: Brain tissue deforms similarly
to filled elastomers and follows consolidation theory. J. Mech. Phys. Solids. 54, 2592–2620
(2006)
62. Kaczmarek, M., Subramaniam, R., Neff, S.: The hydromechanics of hydrocephalus: steadystate solutions for cylindrical geometry. Bull. Math. Biol. 59, 295–323 (1997)
63. Miller, K., Chinzei, K.: Mechanical properties of brain tissue in tension. J. Biomech. 35, 483–
490 (2002)
64. Velardi, F., Fraternali, F., Angelillo, M.: Anisotropic constitutive equations and experimental
tensile behavior of brain tissue. Biomech. Model. Mechanobiol. 5, 53–61 (2006)
65. Rashid, B., Destrade, M., Gilchrist, M.D.: Mechanical characterization of brain tissue in
tension at dynamic strain rates. J. Mech. Behav. Biomed. Mater. 33, 43–54 (2014)
66. Schiavone, P., Chassat, F., Boudou, T., Promayon, E., Valdivia, F., Payan, Y.: In vivo
measurement of human brain elasticity using a light aspiration device. Med. Image Anal. 13,
673–678 (2009)
67. Budday, S., Sommer, G., Birkl, C., Langkammer, C., Haybaeck, J., Kohnert, J., Bauer, M.,
Paulsen, F., Steinmann, P., Kuhl, E., Holzapfel, G.A.: Mechanical characterization of human
brain tissue. Acta Biomater. 48, 319–340 (2017)
93
43. Arbogast, K.B., Meaney, D. F., and Thibault, L. E: Biomechanical characterization of the
constitutive relationship for the brainstem. Paper presented at Proceedings of the 39th Stapp
Car Crash Conference, SAE, Coronado, CA (1995)
44. Darvish, K.K., Crandall, J.R.: Nonlinear viscoelastic effects in oscillatory shear deformation
of brain tissue. Med. Eng. Phys. 23, 633–645 (2001)
45. Fallenstein, G.T., Hulce, V.D., Melvin, J.W.: Dynamic mechanical properties of human brain
tissue. J. Biomech. 2, 217–226 (1969)
46. Tan, K., Cheng, S., Jugé, L., Bilston, L.E.: Characterising soft tissues under large amplitude
oscillatory shear and combined loading. J. Biomech. 46, 1060–1066 (2013)
47. Bilston, L.E., Liu, Z., Phan-Thien, N.: Large strain behaviour of brain tissue in shear: some
experimental data and differential constitutive model. Biorheology. 38, 335–345 (2001)
48. Takhounts, E., Crandall, J.R., Darvish, K.: On the importance of nonlinearity of brain tissue
under large deformations. Stapp Car Crash J. 47, 79–92 (2003)
49. Ferry, J.: Viscoelastic properties of polymers, 641 pp. Wiley, New York (1980)
50. Donnelly, B.R., Medige, J.: Shear properties of human brain tissue. J. Biomech. Eng. 119,
423–432 (1997)
51. Estes, M.S., McElhaney, J.H.: Response of brain tissue to compressive loading, ASME Paper
70-BHF-13 (1970)
52. Miller, K., Chinzei, K.: Constitutive modelling of brain tissue: experiment and theory. J.
Biomech. 30, 1115–1121 (1997)
53. Cheng, S., Bilston, L.E.: Unconfined compression of white matter. J. Biomech. 40, 117–124
(2007)
54. Tamura, A., Hayashi, S., Watanabe, I., Nagayama, K., Matsumoto, T.: Mechanical characterization of brain tissue in high-rate compression. J. Biomech. Sci. Eng. 2, 115–126 (2007)
55. Pervin, F., Chen, W.W.: Dynamic mechanical response of bovine gray matter and white matter
brain tissues under compression. J. Biomech. 42, 731–735 (2009)
56. Rashid, B., Destrade, M., Gilchrist, M.D.: Mechanical characterization of brain tissue in
compression at dynamic strain rates. J. Mech. Behav. Biomed. Mater. 10, 23–38 (2012)
57. Miller, K., Chinzei, K., Orssengo, G., Bednarz, P.: Mechanical properties of brain tissue invivo: experiment and computer simulation. J. Biomech. 33, 1369–1376 (2000)
58. Miller, K.: Modelling soft tissue using biphasic theory — a word of caution. Comput. Methods
Biomech. Biomed. Eng. 1, 261–263 (1998)
59. Chinzei, K., Miller, K.: Compression of swine brain tissue: experiment in vitro. J. Mech. Eng.
Lab. 50, 106–115 (1996)
60. Taylor, Z., Miller, K.: Reassessment of brain elasticity for analysis of biomechanisms of
hydrocephalus. J. Biomech. 37, 1263–1269 (2004)
61. Franceschini, G., Bigoni, D., Regitnig, P., Holzapfel, G.A.: Brain tissue deforms similarly
to filled elastomers and follows consolidation theory. J. Mech. Phys. Solids. 54, 2592–2620
(2006)
62. Kaczmarek, M., Subramaniam, R., Neff, S.: The hydromechanics of hydrocephalus: steadystate solutions for cylindrical geometry. Bull. Math. Biol. 59, 295–323 (1997)
63. Miller, K., Chinzei, K.: Mechanical properties of brain tissue in tension. J. Biomech. 35, 483–
490 (2002)
64. Velardi, F., Fraternali, F., Angelillo, M.: Anisotropic constitutive equations and experimental
tensile behavior of brain tissue. Biomech. Model. Mechanobiol. 5, 53–61 (2006)
65. Rashid, B., Destrade, M., Gilchrist, M.D.: Mechanical characterization of brain tissue in
tension at dynamic strain rates. J. Mech. Behav. Biomed. Mater. 33, 43–54 (2014)
66. Schiavone, P., Chassat, F., Boudou, T., Promayon, E., Valdivia, F., Payan, Y.: In vivo
measurement of human brain elasticity using a light aspiration device. Med. Image Anal. 13,
673–678 (2009)
67. Budday, S., Sommer, G., Birkl, C., Langkammer, C., Haybaeck, J., Kohnert, J., Bauer, M.,
Paulsen, F., Steinmann, P., Kuhl, E., Holzapfel, G.A.: Mechanical characterization of human
brain tissue. Acta Biomater. 48, 319–340 (2017)