A Structural Constitutive Model for Viscoelastic Rheological Behavior of Human Saphenous Vein Using Experimental Assays
Cardiovascular diseases are one of the most common causes of mortality in developed countries. Coronary artery abnormalities and carotid artery stenosis, also known as silent death, are among these diseases. One of the treatment methods for these diseases is to create a deviatory pathway to conduct blood into the heart through a bypass surgery. The saphenous vein is usually used in this surgery to create the deviatory pathway. Unfortunately, a re-surgery will be necessary after some years due to ignoring the disagreement of mechanical properties of graft tissue and/or applied prostheses with those of host tissue. The objective of the present study is to clarify the viscoelastic behavior of human saphenous tissue. The stress relaxation tests in circumferential and longitudinal direction were done in this vein by exerting 20% and 50% strains. Considering the stress relaxation curves obtained from stress relaxation tests and the coefficients of the standard solid model, it was demonstrated that the saphenous vein has a non-linear viscoelastic behavior. Thereafter, the fitting with Fung’s quasilinear viscoelastic (QLV) model was performed based on stress relaxation time curves. Finally, the coefficients of Fung’s QLV model, which models the behavior of saphenous tissue very well, were presented.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1130397Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 408
 Zamir M.: Smaller, stiffer coronary bypass can moderate or reverse the adverse effects of wave reflection, Journal of Biomechanics, 34 (2001) 1455–1462.
 Rossman J. S.: Elastomechanical properties of bovine veins, Journal of the mechanical behavior of biomedical materials, 3 (2010) 210-215.H. Poor, An Introduction to Signal Detection and Estimation. New York: Springer-Verlag, 1985, ch. 4.
 Chirita M.: Modelling Mechanical Properties in Native and Biomimetically Formed Vascular Grafts, Journal of Bionic Engineering 6 (2009) 371–377.
 D.L. Donovan, S.P. Schmidt, S.P. Townshend, G.O. Njus, W.V. Sharp, Material and structural characterization of the human saphenous vein, Journal of vascular surgery, Vol. 12, No. 5, pp. 531-37, 1990.
 B.A. Hamedani, M. Navidbakhsh, H.A. Tafti, Comparison between mechanical properties of human saphenous vein and umbilical vein, Biomedical engineering online, Vol. 11, No. 1, pp. 59, 2012.
 K. Paranjothi, U. Saravanan, R. KrishnaKumar, K.R. Balakrishnan, Mechanical Properties of Human Saphenous Vein, In Mechanics of Biological Systems and Materials, Vol. 2, pp. 79-85, 2011.
 L.J. Brossollet, R.P. Vito, The effects of cryopreservation on the biaxial mechanical properties of canine saphenous veins, Journal of biomechanical engineering, Vol. 119, No. 1, pp. 1-5, 1997.
 V. Milesi, A. Rebolledo, F. A. Paredes, N. Sanz, J. Tommasi, G. J. Rinaldi, A. O. Grassi, Mechanical properties of human saphenous veins from normotensive and hypertensive patients, The Annals of thoracic surgery, Vol. 66,No. 2,pp. 455-461, 1998.
 P. Chamiot-Clerc, X. Copie, J.F. Renaud, M. Safar, X. Girerd. Comparative reactivity and mechanical properties of human isolated internal mammary and radial arteries, Cardiovascular research, Vol. 37, No. 3, pp.811-819, 1998.
 C.J. Van Andel, P.V. Pistecky, C. Borst. Mechanical properties of coronary arteries and internal mammary arteries beyond physiological deformation, Proceedings of the 23rd Annual EMBS International Conference, pp. 113-115, 2001.
 F. Cacho, M. Doblare, G.A. Holzapfel, A procedure to simulate coronary artery bypass graft surgery, Med Bio Eng Comput , Vol. 45, pp. 819–827, 2007.
 G.A. Holzapfel, G. Sommer, C.T. Gasser, P Regitnig, Determination of layer-specific mechanical properties, Circulation, Vol. 289, H2048-2058, 2005.
 Kelly D. J.: Site-specific inelasticity of arterial tissue, Journal of Biomechanics, 45 (2012) 1393–1399.
 Silver F. H.: Mechanical Behavior of Vessel Wall A Comparative Study of Aorta Vena Cava and Carotid artery, Journal of Annals of Biomedical Engineering, 31 (2003) 793–803.
 Fung Y. C.: Biomechanics. Mechanical properties of living tissues, 2nd edition, Springer, 1993.
 Elliott D. M.: Methods for Quasi-Linear Viscoelastic Modeling of Soft Tissue: Application to Incremental Stress-Relaxation Experiments, Journal of Biomechanics and modeling in mechanobiology, 125 (2003) 754-758.