K. L. Billiar and M. S. Sacks, A method to quantify the fiber kinematics of planar tissues under biaxial stretch, Journal of Biomechanics, vol.30, issue.7, p.756, 1997.
DOI : 10.1016/S0021-9290(97)00019-5

P. B. Canham, H. M. Finlay, J. G. Dixon, D. R. Boughner, and A. Chen, Measurements from light and polarised light microscopy of human coronary arteries fixed at distending pressure, Cardiovascular Research, vol.23, issue.11, p.982, 1989.
DOI : 10.1093/cvr/23.11.973

N. J. Driessen, W. Wilson, C. V. Bouten, and F. P. Baaijens, A computational model for collagen fibre remodelling in the arterial wall, Journal of Theoretical Biology, vol.226, issue.1, p.64, 2004.
DOI : 10.1016/j.jtbi.2003.08.004

P. J. Elbischger, H. Bischof, P. Regitnig, and G. A. Holzapfel, Automatic analysis of collagen fibre orientation in the outermost layer of human arteries, Pattern Anal. Appl, vol.7, issue.269, p.284, 2004.

H. M. Finlay, L. Mccullough, and P. B. Canham, Three dimen sional collagen organization of human brain arteries at different transmural pressures, J. Vasc. Res, vol.32, issue.301, p.312, 1995.

Y. C. Fung, K. Fronek, and P. Patitucci, Pseudoelasticity of arteries and the choice of its mathematical expression, Am. J. Physiol, vol.237, pp.620-631, 1979.

S. Glagov and C. K. Zarins, Is intimal hyperplasia an adaptive response or a pathologic process????observations on the nature of nonatherosclerotic intimal thickening, Journal of Vascular Surgery, vol.10, issue.5, pp.571-573, 1989.
DOI : 10.1016/0741-5214(89)90147-X

G. A. Holzapfel, Nonlinear Solid Mechanics. A Continuum Approach for Engineering, 2000.

G. A. Holzapfel and T. C. Gasser, A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.34, p.4403, 2001.
DOI : 10.1016/S0045-7825(00)00323-6

G. A. Holzapfel and H. W. Weizsacker, Biomechanical behavior of the arterial wall and its numerical characterization, Computers in Biology and Medicine, vol.28, issue.4, pp.377-392, 1998.
DOI : 10.1016/S0010-4825(98)00022-5

G. A. Holzapfel, R. Eberlein, P. Wriggers, and H. W. Weizsacker, A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries, Comput. Meth. Appl. Mech. Eng, vol.12, issue.507, p.517, 1996.

G. A. Holzapfel, T. C. Gasser, and R. W. Ogden, A new Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models, J. Elasticity, vol.61, issue.1, p.48, 2000.
DOI : 10.1007/0-306-48389-0_1

URL : https://hal.archives-ouvertes.fr/hal-01297725

G. A. Holzapfel, T. C. Gasser, and M. Stadler, A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element analysis, European Journal of Mechanics - A/Solids, vol.21, issue.3, p.463, 2002.
DOI : 10.1016/S0997-7538(01)01206-2

G. A. Holzapfel, G. Sommer, and P. Regitnig, Anisotropic mechanical properties of tissue components in human athero sclerotic plaques, J. Biomech. Eng, vol.126, issue.657, p.665, 2004.

G. A. Holzapfel, T. C. Gasser, and R. W. Ogden, Comparison of a Multi-Layer Structural Model for Arterial Walls With a Fung-Type Model, and Issues of Material Stability, Journal of Biomechanical Engineering, vol.126, issue.2, p.275, 2004.
DOI : 10.1115/1.1695572

G. A. Holzapfel, M. Stadler, and T. C. Gasser, Changes in the Mechanical Environment of Stenotic Arteries During Interaction With Stents: Computational Assessment of Parametric Stent Designs, Journal of Biomechanical Engineering, vol.127, issue.1, p.180, 2005.
DOI : 10.1115/1.1835362

G. A. Holzapfel, G. Sommer, C. T. Gasser, and P. Regitnig, Determination of the layer specific mechanical properties of human coronary arteries with non atherosclerotic intimal thickening, and related constitutive modelling, in press, 2004.

A. Konig, T. M. Schiele, J. Rieber, K. Theisen, H. Mudra et al., Influence of stent design and deployment technique on neointima formation and vascular remodeling, Z. Kardiol, vol.91, pp.98-102, 2002.

W. W. Von-maltzahn, R. G. Warriyar, and W. F. Keitzer, Experi mental measurements of elastic properties of media and adventitia of bovine carotid arteries, J. Biomech, vol.17, issue.839, p.847, 1984.

K. Von-der-mark, Localization of Collagen Types in Tissues, Int. Rev. Conn. Tiss. Res, vol.9, issue.265, p.324, 1981.
DOI : 10.1016/B978-0-12-363709-3.50012-7

A. Menzel, Modelling of anisotropic growth in biological tissues. A new approach and computational aspects, Biomech. Model. Mechanobio, vol.3, issue.147, p.171, 2005.

R. W. Ogden, Non linear Elastic Deformations, 1997.

R. W. Ogden, Nonlinear Elasticity, Anisotropy, Material Stability and Residual Stresses in Soft Tissue, Biomechanics of Soft Tissue in Cardiovascular Systems. CISM Courses and Lectures No. 441, International Centre for Mechanical Sciences, pp.65-108, 2003.
DOI : 10.1007/978-3-7091-2736-0_3

R. W. Ogden and C. A. Schulze-bauer, Phenomenological and structural aspects of the mechanical response of arteries, Mechanics in Biology The American Society of Mechanical Engineers (ASME), pp.125-140, 2000.

J. Pache, A. Kastrati, J. Mehilli, H. Schuhlen, F. Dotzer et al., Intracoronary stenting and angiographic results: strut thickness effect on restenosis outcome (ISAR STEREO 2) trial, J. Am. Coll. Cardiol, vol.41, 2003.

P. Pedersen, On optimal orientation of orthotropic materials, Structural Optimization, vol.1, issue.2, p.106, 1989.
DOI : 10.1007/BF01637666

M. R. Roach and A. C. Burton, The reason for the shape of the distensibility curve of arteries. Canad, J. Biochem. Physiol, vol.35, issue.681, p.690, 1957.

C. Rogers, D. Y. Tseng, J. C. Squire, and E. R. Edelman, Balloon-Artery Interactions During Stent Placement : A Finite Element Analysis Approach to Pressure, Compliance, and Stent Design as Contributors to Vascular Injury, Circulation Research, vol.84, issue.4, p.383, 1999.
DOI : 10.1161/01.RES.84.4.378

S. B. Schuldt, G. A. Gabriele, R. R. Root, E. Sandgren, and K. M. Ragsdell, Application of a New Penalty Function Method to Design Optimization, Journal of Engineering for Industry, vol.99, issue.1, pp.31-36, 1977.
DOI : 10.1115/1.3439160

S. Bauer, C. A. Regitnig, P. Holzapfel, and G. , Mechanics of the human femoral adventitia including the high-pressure response, American Journal of Physiology - Heart and Circulatory Physiology, vol.282, issue.6, pp.2427-2440, 2002.
DOI : 10.1152/ajpheart.00397.2001

J. P. Wilber and J. R. Walton, The convexity properties of a class of constitutive models for biological soft tissues, Math. Mech. Solids, vol.7, issue.217, p.235, 2002.