K. Chinzei, K. Miller, "Modeling Stress-Strain Relation of Brain Tissue (in Japanese)," in Proc. 6th Annual Meeting of Japan Soc Comput Aided Surgery, 1997,  pp. 75-76.

Modeling Stress-Strain Relation of Brain Tissue
		CHINZEI Kiyoyuki,  *Karol Miller
		Biomechnaics Div., Mechanical Eng. Lab., MITI,  *Univ. of Wester Australia
Abstract
A new constitutive equation representing the stress-strain relation of brain tissue is reported. Equation was derived from the derivative of strain enegry, in the form of polynomial with the  coefficients which models the history dependent behavior. Parameters were determined by the adaptive fitting to the in vitro experiment (1)(2). The obtained model was ready to apply by combination with standard FEM package software, ABAQUS, for instance.

Reference
1	K. Chinzei, K. Miller, "Compressive Loading Experiment of Swine Brain Tissue; Biomechanics for CAS (in Japanese)," in Proc. 5th Annual Meeting Japan Soc Comput Aided Surgery, 1996,  pp. 89-90.
2	K. Miller, K. Chinzei, "Constitutive Modeling of Brain Tissue; Experiment and Theory", J Biomech (accepted for 1997 issue)
3	Mow, V.C., Ateshian, G.A. and Spilker R.L., "Biomechanics of Diarthrodial Joints: A Review of Twenty Years of Progress", Trans.  ASME, J.  Biomech. Eng. 115, 460-467, 1993
4	Miller, K. and Chinzei, K., "Modeling of Soft Tissues Deformation", Journal Computer Aided Surgery, 1, Supl., Proc. of Second International Symposium on Computer Aided Surgery, Tokyo Women's Medical College, Shinjuku, Tokyo, 62-63, 1995
5	Mooney, M., "A Theory of Large Elastic Deformation".  J.  Appl. Phys. 11, 582-592, 1940
6	Rivlin, R.S., "Forty Years of Nonlinear Continuum Mechanics", In Proceedings of the IX Int. Congress on Rheology, Mexico, pp. 1-29, 1984

Fig. 1 Stress-Strain Curves. Continuous curves for the experimental results [1], and dotted curves for the simulated results by Eq. 9. The agreement was good ranging over 105 difference of loading speed.