Free Access
Volume 37, Number 4, July-August 2003
Special issue on Biological and Biomedical Applications
Page(s) 725 - 739
Published online 15 November 2003
  1. W.M. Bayliss, On the local reaction of the arterial wall to changes of internal pressure. J. Physiol. London 28 (1902) 220-231. [Google Scholar]
  2. J. Berntsen, T.O. Espelid and A. Genz, Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals. ACM Trans. Math. Softw. 17 (1991) 452-456. [CrossRef] [Google Scholar]
  3. P.H.M. Bovendeerd, T. Arts, J.M. Huyghe, D.H. van Campen and R.S. Reneman, Dependance of local left ventricular wall mechanics on myocardial fiber orientation: a model study. J. Biomech. 25 (1992) 1129-1140. [CrossRef] [PubMed] [Google Scholar]
  4. P.G. Ciarlet, The finite element method for elliptic problems, Vol. 4 of Studies in Mathematics and its Applications. North-Holland, Amsterdam-New York (1980). [Google Scholar]
  5. K.D. Costa, P.J. Hunter, J.S. Wayne, L.K. Waldman, J.M. Guccione and A.D. McCulloch, A three-dimensional finite element method for large elastic deformations of ventricular myocardium: Part I. Cylindrical and spherical polar coordinates. ASME J. Biomech. Eng. 118 (1996) 452-463. [CrossRef] [Google Scholar]
  6. R. Glowinski and P. LeTallec, Augmented lagrangian and operator-splitting methods in nonlinear mechanics. SIAM, Philadelphia, PA (1989). [Google Scholar]
  7. D.H.S. Lin and F.C.P. Yin, A multiaxial constitutive law for mammalian left ventricular myocardium in steady-state barium contracture or tetanus. J. Biomech. Eng. 120 (1998) 504-517. [CrossRef] [PubMed] [Google Scholar]
  8. L.E. Malvern, Introduction to the mechanics of a continuous medium. Prentice-Hall (1969). [Google Scholar]
  9. A.D. McCulloch, L.K. Waldman, J. Rogers and J. Guccione, Large scale finite element analysis of the beating heart. Crit. Rev. Biomed. Eng. 20 (1992) 427-449. [PubMed] [Google Scholar]
  10. J.J. Morge, B.S. Garbow and K.E. Hillstrom, User Guide for MINPACK-1. Technical Report ANL-80-74, Argonne National Laboratory (March 1980). [Google Scholar]
  11. J.T. Oden, Finite elements of nonlinear continua. McGraw-Hill, New York (1972). [Google Scholar]
  12. J. Ohayon and R.S. Chadwick, Effects of collagen microstructure on the mechanics of the left ventricle. Biophys. J. 54 (1988) 1077-1088. [CrossRef] [PubMed] [Google Scholar]
  13. M.J.D. Powell, A hybrid method for nonlinear equations, in Numerical methods for nonlinear algebraic equations, P. Rabinowitz Ed. Gordon and Breach, New York (1970) 87-114. [Google Scholar]
  14. A. Quarteroni and A. Valli, Numerical approximation of partial differential equations, Vol. 23 of Springer Series in Computational Mathematics. Springer Verlag, Berlin (1994). [Google Scholar]
  15. G.M. Rubanyi, Mechanoreception by the vascular wall. Futura Publishing Company, Inc. (1993). [Google Scholar]
  16. L.A. Taber, On a nonlinear theory for muscle shells: Part II. Application to the beating left ventricle. J. Biomech. Eng. 113 (1991) 63-71. [CrossRef] [PubMed] [Google Scholar]
  17. P. Teppaz, J. Ohayon and R. Herbin, Interaction fluide-structure active : écoulement artériel. C.R. Acad. Sci. Paris 324 (1997) 37-45. [Google Scholar]
  18. T.P. Usyk, Omens J.H. and A.D. McCulloch, Regional septal dysfunction in a three-dimensional computational model of focal myofiber dissaray. Am. J. Physiol. Heart Circ. Physiol. 281 (2001) 506-514. [Google Scholar]
  19. J. Zhang and C. Xu, A class of indefinite dogleg path mehods for unconstrained minimization. SIAM J. Optim. 9 (1999) 646-667. [CrossRef] [MathSciNet] [Google Scholar]

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