The constitutive properties of the brain parenchyma. Part 1. Strain energy approach

Medical Engineering and Physics

Volumn 28, Issue 5, 2006, Pages 449-454

  Kohandel, M ^a   Sivaloganathan, S ^a   Tenti, G ^a   Drake, J M ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b HOSPITAL FOR SICK CHILDREN   (Canada)

Author keywords

Brain biomechanics; Finite element method; Mathematical modeling; Viscoelasticity

Indexed keywords

BRAIN BIOMECHANICS; HUMAN BRAIN TISSUES; HYPER-ELASTIC OGDEN MODELS; POLYNOMIAL FUNCTION;

COMPUTER SIMULATION; ENERGY DISSIPATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NEUROPHYSIOLOGY; NUMERICAL METHODS; POLYNOMIAL APPROXIMATION; TISSUE CULTURE; VISCOELASTICITY;

BIOMEDICAL ENGINEERING;

ARTICLE; BRAIN; BRAIN TISSUE; COMPRESSION; ENERGY; MATHEMATICAL ANALYSIS; PARENCHYMA; PRIORITY JOURNAL;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; ELASTICITY; ENERGY TRANSFER; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, BIOLOGICAL; STRESS, MECHANICAL; WEIGHT-BEARING;

EID: 33748267494     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.medengphy.2005.01.005     Document Type: Article

References (30)

1. Fung Y.C. Biomechanics: mechanical properties of living tissues (1981), Springer, New York
2. Brett P.N., Fraser C.A., Henningan M., Griffiths M.V., and Kamel Y. Automatic surgical tools for penetrating flexible tissues. IEEE Eng Med Biol (1995) 264-270
3. Burdea G. Force and touch feedback for virtual reality (1996), Wiley, New York
4. Miller K., and Chinzei K. Mechanical properties of brain tissue in tension. Biomechanics 30 (1997) 1115-1121
5. Miller K. Constitutive model of brain tissue suitable for finite element analysis of surgical procedure. J Biomech 32 (1999) 531-537
6. 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
7. Miller K. How to test very soft tissues in extension. J Biomech 34 (2001) 651-657
8. Miller K., and Chinzei K. Mechanical properties of brain tissue in tension. J Biomech 35 (2002) 483-490
9. Prange M.T., Meanet D.F., and Margulies S.S. Defining brain mechanical properties: effects of region, direction, and species. Stapp Car Crash J 44 (2000) 205-213
10. Prange M.T., and Margulies S.S. Regional, directional, and age-dependent properties of the brain undergoing large deformation. ASME J Biomech Eng 124 (2002) 244-252
11. Pamidi M.R., and Advani S.H. Nonlinear constitutive relation for human brain tissue. ASME J Biomech Eng 100 (1978) 44-48
12. Mendis K.K., Stalnaker R.L., and Advani S.H. A constitutive relationship for large deformation finite element modeling of brain tissue. ASME J Biomech Eng 117 (1995) 279-285
13. Drake J.M., and Sainte-Rose C. The shunt book (1995), Blackwell Science, Cambridge, MA
14. Darapaca CS, Sivaloganathan S, Tenti G, Drake JM. Dynamical morphology of the brain's ventricular cavities in hydrocephalus, J Theor Med, submitted for publication.
15. Hakim S. Biomechanics of hydrocephalus. Acta Neorologica Latinoamericana 17 (1971) 169-174
16. Nagashima T., Tamaki N., Matsumoto S., Horwitz B., and Seguchi Y. Biomechanics of hydrocephalus: a new theoretical model. Neurosurgery 21 (1987) 898-904
17. Kaczmarek M., Subramaniam R.P., and Neff S.R. The hydromechanics of hydrocephalus: steady-state solution for cylindrical geometry. Bull Math Biol 59 (1997) 295-323
18. Tenti G., Sivalagonathan S., and Drake J.M. Brain biomechanics: steady-state consolidation theory of hydrocephalus. Can Appl Math Q 7 (1999) 93-110
19. Kyriacou S.K., Mohamed A., Miller K., and Neff S. Brain biomechanics for neurosurgery: modelling issues. Biomech Model Mechanobiol 1 (2002) 151-164
20. Estes MS, McElhaney JH. Response of brain tissue of compressive loading. ASME paper no. 70-BHF-13 1970.
21. Galford J.E., and McElhaney J.H. A viscoelastic study of scalp, brain and dura. J Biomech 3 (1970) 211-221
22. Ogden R.W. Nonlinear elastic deformations (1984), Ellis Harwood Ltd., Chichester, England
23. Mooney M. A theory of large elastic deformation. J Appl Phys 11 (1940) 582-590
24. Rivlin R.S. Large elastic deformations of isotropic materials. Philos Trans R Soc Lond A 240 (1948) 490-499
25. Rivlin R.S. Large elastic deformations of isotropic materials: further results in the theory of torsion, shear and flexture. Philos Trans R Soc Lond A 242 (1949) 173-195
26. Rivlin R.S. Forty years of nonlinear continuum mechanics. Proceedings of the IX International Congress on Rheology. Mexico (1984) 1-29
27. Miller, and K. Method of testing very soft biological tissues in compression. J Biomech 38 (2005) 153-158
28. Larson R.G. Constitutive equations for polymer melts and solutions (1988), Butterworth, Stoneham, MA
29. Wolfram Research. Mathematica 4 Standard Packages, Wolfram Media. Cambridge: Cambridge University Press; 1996.
30. ABAQUS Users Manual, Version 6.3, Hibbit, Karlsson and Sorensen Inc.; 2002.