A micromechanical hyperelastic modeling of brain white matter under large deformation

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 2, Issue 3, 2009, Pages 243-254

  Karami, G ^a   Grundman, N ^a   Abolfathi, N ^a   Naik, A ^a   Ziejewski, M ^a  

^a NORTH DAKOTA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC BEHAVIORS; AVERAGE STRESS; BRAIN TISSUES; CELLULAR STRUCTURES; FIBER VOLUME FRACTIONS; FIBER-REINFORCED COMPOSITES; FINITE ELEMENTS; HYPER ELASTICS; HYPERELASTIC MATERIALS; LARGE DEFORMATIONS; LOCAL STRESS; MACROSCOPIC SCALE; MACROSCOPIC STRESS; MATRIXES; MAXIMUM STRESS; MECHANICAL CHARACTERIZATIONS; MECHANICAL RESPONSE; MICRO MECHANICALS; MICRO-MECHANICAL MODELS; MICRO-STRUCTURAL; MICROSCOPIC SCALE; REPEATING UNITS; REPRESENTATIVE VOLUME ELEMENTS; SHEAR LOADINGS; SIGNIFICANT IMPACTS; SOFT TISSUES; TISSUE STIFFNESS; WHITE MATTERS;

BRAIN; DEFORMATION; METALLIC MATRIX COMPOSITES; MICROMECHANICS; NEURONS; STIFFNESS; STIFFNESS MATRIX; TISSUE; TITRATION; VOLUME MEASUREMENT;

STRESSES;

ANISOTROPY; ARTICLE; BIOMECHANICS; BRAIN CELL; CELL STRUCTURE; FINITE ELEMENT ANALYSIS; GEOMETRY; HUMAN; HUMAN TISSUE; KINEMATICS; MATHEMATICAL MODEL; MICROMECHANICAL HYPERELASTIC MODEL; MICROMECHANICS; NONLINEAR SYSTEM; PHYSICAL MODEL; PRIORITY JOURNAL; REPEATING UNIT CELL; SOFT TISSUE; WHITE MATTER;

ALGORITHMS; ANIMALS; ANISOTROPY; AXONS; BIOMECHANICS; BRAIN; BRAIN STEM; ELASTICITY; FINITE ELEMENT ANALYSIS; GUINEA PIGS; HUMANS; MODELS, NEUROLOGICAL; NERVE FIBERS, MYELINATED; OPTIC NERVE; STRESS, MECHANICAL; SWINE;

EID: 61449132522     PISSN: 17516161     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2008.08.003     Document Type: Article

References (35)

1. ABAQUS ver. 6. 6. The Finite Element Package (2006), ABAQUS Inc., Providence, RI
2. Abolfathi, N., Naik, A., Sotudeh, S., Karami, G., Ziejewski, Z., 2008. A micromechanical procedure for characterization of the mechanical properties of brain white matter. Comp. Meth. Biomech. Biomed. Eng., in press (doi:10.1080/10255840802430587)
3. Arbogast K.B., and Margulies S.S. Material characterization of the brainstem from oscillatory shear tests. J. Biomech. 31 (1998) 801-807
4. Arbogast K.B., and Margulies S.S. A fiber-reinforced composite model of the viscoelastic behavior of the brainstem in shear. J. Biomech. 32 (1999) 865-870
5. Bain A.C., and Meaney D.F. Tissue-level thresholds for axonal damage in an experimental model of central nervous system white matter injury. ASME J. Biomedical Eng. 122 (2000) 615-622
6. Bain A.C., Screiber D.I., and Meaney D.F. Modeling of microstructural kinematics during simple elongation of central nervous system tissue. ASME J. Biomedical Eng. 125 (2003) 798-804
7. Bhatti M.A. Advanced Topics in Finite Element Analysis of Structures (2006), John Wiley & Sons, Inc., New York
8. Bilston L.E., Liu Z., and Phan-Thien N. Linear viscoelastic properties of bovine brain tissue in shear. Biorheology 34 (1997) 377-385
9. Bilston L.E., Liu Z., and Phan-Thien N. Nonlinear viscoelastic behavior of brain tissue in shear, some new experimental data and a differential constitutive model. Biorheology 38 (2001) 335-345
10. Coats B., and Margulies S.S. Material properties of porcine parietal cortex. J. Biomech. 39 (2006) 2521-2525
11. Fung Y.C. Biomechanics: Mechanical Properties of Living Tissues (1981), Springer-Verlag, New York
12. Garnich M., and Karami G. Finite element micromechanics for stiffness and strength of wavy fiber composites. J. Composite Mater. 38 4 (2004) 273-292
13. Gefen A., and Margulies S.S. Are in vivo and in situ brain tissues mechanically similar?. J. Biomech. 37 (2004) 1339-1352
14. Holzapfel G.A. Nonlinear Solid Mechanics: A Continuum Approach for Engineering (2000), John Wiley & Sons, Inc., New York
15. Karami G., and Garnich M. Effective moduli and failure considerations for composite with periodic fiber waviness. J. Composite Struct. 67 (2005) 461-475
16. Meaney D.F. Relationship between structural modeling and hyperelastic material behavior: Application to CNS white matter. Biomech. Model Mechanobiol. 1 (2003) 279-293
17. Merodio J., and Ogden R.W. Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation. Int. J. Solids Struct. 40 (2003) 4707-4727
18. Merodio J., and Ogden R.W. Mechanical response of fiber-reinforced incompressible non-linearly elastic solids. Int. J. Non-Linear Mech. 40 (2005) a213-a227
19. Miller K. How to test very soft biological tissues in extension?. J. Biomech. 34 (2001) 651-657
20. Miller K., and Chinzei K. Constitutive modeling of brain tissue: Experiment and theory. J. Biomech. 30 (1997) 1115-1121
21. Miller K., and Chinzei K. Mechanical properties of brain tissue in tension. J. Biomech. 35 (2002) 483-490
22. Miller K., Chinzei K., Orssengo G., and Bednarz P. Mechanical properties of brain tissue in-vivo: Experiment and computer simulation. J. Biomech. 33 (2000) 1369-1376
23. Morrison III B., Cater H., Benham C.D., and Sundstrom L. An in-vitro model of traumatic brain injury utilising two-dimensional stretch of organotypic hippocampal slice cultures. J. Neurosci. Methods 150 2 (2006) 192-201
24. Naik A., Abolfathi N., Karami G., and Ziejewski M. Characterization of viscoelastic properties of composites from properties of their constituents. J. Composite Mater. 42 12 (2008) 1179-1204
25. Peng X.Q., Guo Z.Y., and Moran B. An anisotropic hyperelastic constitutive model with fiber-matrix shear interaction for the human annulus fibrosus. J. Appl. Mech. 73 (2006) 815-824
26. Pfister B.J., Iwata A.T., Taylor A.G., Wolf J.A., Meaney D., and Smith D.H. Development of transplantable nervous tissue constructs comprised of stretch-grown axons. J. Neurosci. Methods 153 (2006) 95-103
27. Prange M.T., and Margulies S.S. Regional, directional, and age dependent properties of the brain undergoing large deformation. J. Biomech. Eng. 124 (2002) 244-252
28. Quapp K.M., and Weiss J.A. Material characterization of human medial collateral ligament. J. Biomech. Eng. Trans. ASME 120 (1998) 757-763
29. Qui G.Y., and Pence T.J. Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids. J. Elasticity 49 (1997) 1-30
30. Saatman K.E., Duhaime A.-C., Bullock R., Maas A.I.R., Valadka A., and Manley G.T. Classification of Traumatic Brain Injury for Targeted Therapies. J. Neurotrauma 25 (2008) 719-738
31. Spencer A.J.M. Continuum Theory of the Mechanics of Fibre-Reinforced Composites (1984), Springer-Verlag, New York
32. Taber K.H., and Hurely R.A. Traumatic Axonal Injury, Atlas of major pathways. J. Neuropschiatry Clin. Neurosci. 19 (2007) 100-104
33. Usal M.R., Usal M., and Kabul A. A mathematical model for fiber-reinforced hyperelastic material and results with finite element model. J. Appl. Sci. 5 (2005) 1617-1631
34. Velardi F., Fraternali F., and Angelillo M. Anisotropic constitutive equations and experimental tensile behavior of brain tissue. Biomech. Model Mechanobiol. 5 (2006) 53-61
35. Waxman S.G., Kocsis J.D., and Stys P.K. The Axon: Structure, Function, and Pathophysiology (1995), Oxford University Press, New York