Estimation of the quasi-linear viscoelastic parameters using a genetic algorithm

Mathematical and Computer Modelling

Volumn 47, Issue 3-4, 2008, Pages 266-270

  Kohandel, M ^a   Sivaloganathan, S ^a   Tenti, G ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Biomechanics; Genetic algorithm; Ligaments; Mathematical modeling; Viscoelasticity

Indexed keywords

CONSTITUTIVE EQUATIONS; GENETIC ALGORITHMS; HEURISTIC ALGORITHMS; LIGAMENTS; MATHEMATICAL MODELS; REGRESSION ANALYSIS; STRAIN CONTROL; STRESS RELAXATION; VISCOELASTICITY;

QUASI LINEAR VISCOELASTIC THEORY; REGRESSION ALGORITHMS;

TISSUE ENGINEERING;

EID: 38149103130     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2007.04.006     Document Type: Article

References (18)

1. Fung Y.C. Stress-strain-history relations of soft tissues in simple elongation. In: Fung Y.C., Perrone N., and Anliker M. (Eds). Biomechanics: Its Foundations and Objectives (1972), Prentice-Hall, Englewood Cliffs, NJ 181-208
2. Fung Y.C. Biomechanics: Mechanical Properties of Living Tissues (1981), Springer, New York
3. Woo S.L.-Y. Mechanical properties of tendons and ligaments. I. Quasi-static and nonlinear viscoelastic properties. Biorheology 19 (1982) 385-396
4. Dortmans L.J., Sauren A.A., and Rousseau E.P. Parameter estimation using the quasi-linear viscoelastic model proposed by Fung. J. Biomech. Eng. 106 (1984) 198-203
5. Nigul I., and Nigul U. On algorithms of evaluation of Fung's relaxation function parameters. J. Biomech. 20 (1987) 343-352
6. Myers B.S., McElhaney J.H., and Doherty B.J. The viscoelastic responses of the human cervical spine in torsion: Experimental limitations of quasi-linear theory, and a method for reducing these effects. J. Biomech. 24 (1991) 811-817
7. Kwan M.K., Lin T.H., and Woo S.L. On the viscoelastic properties of the anteromedial bundle of the anterior cruciate ligament. J. Biomech. 26 (1993) 447-452
8. Carew E.O., Talman E.A., Boughner D.R., and Vesely I. Quasi-linear viscoelastic theory applied to internal shearing of porcine aortic valve leaflets. J. Biomech. Eng. 4 (1999) 386-392
9. Abramowitch S.D., and Woo S.L. An improved method to analyze the stress relaxation of ligaments following a finite ramp time based on the quasi-linear viscoelastic theory. J. Biomech. Eng. 126 (2004) 92-97
10. R.S. Rivlin, Forty years of nonlinear continuum mechanics, in: Proceeding of the IX International Congress on Rheology, Mexico, 1984, pp. 1-29
11. Ogden R.W. Nonlinear Elastic Deformations (1984), Ellis Harwood Ltd., Chichester, England
12. Miller K., and Chinzei K. Constitutive modelling of brain tissue: Experiment and theory. J. Biomech. 30 (1997) 1115-1121
13. Miller K., and Chinzei K. Mechanical properties of brain tissue in tension. J. Biomech. 35 (2002) 483-490
14. Drapaca C.S., Tenti G., Rohlf K., and Sivaloganathan S. A quasi-linear viscoelastic constitutive equation for the brain: Application to hydrocephalus. J. Elasticity 85 (2006) 65-83
15. Goldberg D.E. Genetic Algorithms in Search, Optimization and Machine Learning (1989), Addison-Wesley
16. Rechenberg I. Evolutionstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution (1973), Fromman-Holzboog, Stuttgart
17. Holland J.H. Adaptation in Natural and Artificial Systems (1975), University of Michigan Press
18. Koza J.R. Genetic Programming: On the Programming of Computers by Means of Natural Selection (1992), MIT Press, Cambridge, MA