Linear and Nonlinear Viscoelastic Arterial Wall Models: Application on Animals

Journal of Biomechanical Engineering

Volumn 139, Issue 1, 2017, Pages

  Ghigo, Arthur R ^a   Wang, Xiao Fei ^a   Armentano, Ricardo ^b   Fullana, Jose Maria ^a   Lagrée, Pierre Yves ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b FAVALORO UNIVERSITY   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; ELASTIC MODULI;

ARTERIAL NETWORKS; DAMPING EFFECT; FLUID MODELING; HIGH FREQUENCY WAVES; KELVIN VOIGT MODEL; NONLINEAR VISCO-ELASTIC; VISCOELASTIC COEFFICIENTS; VISCOELASTIC RELAXATION;

VISCOELASTICITY;

ANIMAL EXPERIMENT; ARTERY WALL; EXPERIMENTAL MODEL; LIQUID; NONHUMAN; PULSE WAVE; RELAXATION TIME; SHEEP; TIME SERIES ANALYSIS; VISCOELASTICITY; ANATOMY AND HISTOLOGY; ANIMAL; ARTERY; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; IN VITRO STUDY; MECHANICAL STRESS; NONLINEAR SYSTEM; PHYSIOLOGY; SHEAR STRENGTH; STATISTICAL MODEL; TENSILE STRENGTH; VISCOSITY; YOUNG MODULUS;

ANIMALS; ARTERIES; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPRESSIVE STRENGTH; COMPUTER SIMULATION; ELASTIC MODULUS; IN VITRO TECHNIQUES; LINEAR MODELS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; SHEAR STRENGTH; SHEEP; STRESS, MECHANICAL; TENSILE STRENGTH; VISCOSITY;

EID: 84994551718     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4034832     Document Type: Article

References (21)

1. Wang, X., Nishi, S., Matsukawa, M., Ghigo, A., Lagr-ee, P.-Y., Fullana, J.-M., 2016, "Fluid Friction and Wall Viscosity of the 1D Blood Flow Model, " J. Biomech., 49(4), pp. 565-571.
2. Fung, Y., 1993, Biomechanics: Mechanical Properties of Living Tissues, Springer-Verlag, New York.
3. Steele, B., Valdez-Jasso, D., Haider, M., Olufsen, M., 2011, "Predicting Arterial Flow and Pressure Dynamics Using a 1D Fluid Dynamics Model With a Viscoelastic Wall, " SIAM J. Appl. Math., 71(4), pp. 1123-1143.
4. Holenstein, R., Niederer, P., Anliker, M., 1980, "A Viscoelastic Model for Use in Predicting Arterial Pulse Waves, " ASME J. Biomech. Eng., 102(4), pp. 318-325.
5. Reymond, P., Bohraus, Y., Perren, F., Lazeyras, F., Stergiopulos, N., 2011, "Validation of a Patient-Specific One-Dimensional Model of the Systemic Arterial Tree, " Am. J. Physiol. : Heart Circ. Physiol., 301(3), pp. H1173-H1182.
6. Reymond, P., Merenda, F., Perren, F., Rufenacht, D., Stergiopulos, N., 2009, "Validation of a One-Dimensional Model of the Systemic Arterial Tree, " Am. J. Physiol. : Heart Circ. Physiol., 297(1), pp. H208-H222.
7. Raghu, R., Vignon-Clementel, I., Figueroa, C., Taylor, C., 2011, "Comparative Study of Viscoelastic Arterial Wall Models in Nonlinear One-Dimensional Finite Element Simulations of Blood Flow, " ASME J. Biomech. Eng., 133(8), p. 081003.
8. Segers, P., Stergiopulos, N., Verdonck, P., Verhoeven, R., 1997, "Assessment of Distributed Arterial Network Models, " Med. Biol. Eng. Comput., 35(6), pp. 729-736.
9. Armentano, R., Barra, J., Levenson, J., Simon, A., Pichel, R., 1995, "Arterial Wall Mechanics in Conscious Dogs Assessment of Viscous, Inertial, Elastic Moduli to Characterize Aortic Wall Behavior, " Circ. Res., 76(3), pp. 468-478.
10. Alastruey, J., Khir, A. W., Matthys, K. S., Segers, P., Sherwin, S. J., Verdonck, P. R., Parker, K. H., Peir-o, J., 2011, "Pulse Wave Propagation in a Model Human Arterial Network: Assessment of 1-D Visco-Elastic Simulations Against In Vitro Measurements, " J. Biomech., 44(12), pp. 2250-2258.
11. Valdez-Jasso, D., Haider, M., Banks, H., Santana, D., Germ-an, Y., Armentano, R., Olufsen, M., 2009, "Analysis of Viscoelastic Wall Properties in Ovine Arteries, " IEEE Trans. Biomed. Eng., 56(2), pp. 210-219.
12. Erbay, H., Erbay, S., Dost, S., 1992, "Wave Propagation in Fluid Filled Nonlinear Viscoelastic Tubes, " Acta Mech., 95(1-4), pp. 87-102.
13. Bird, R. B., Armstrong, R. C., Hassager, O., Curtiss, C. F., 1977, Dynamics of Polymeric Liquids, Vol. 1, Wiley, New York.
14. Fischer, E. C., Bia, D., Camus, J., Z-ocalo, Y., De Forteza, E., Armentano, R., 2006, "Adventitia-Dependent Mechanical Properties of Brachiocephalic Ovine Arteries in In Vivo and In Vitro Studies, " Acta Physiol., 188(2), pp. 103-111.
15. Fung, Y., 1997, Biomechanics: Circulation, Springer Verlag, New York.
16. Smith, N., Pullan, A., Hunter, P., 2002, "An Anatomically Based Model of Transient Coronary Blood Flow in the Heart, " SIAM J. Appl. Math., 62(3), pp. 990-1018.
17. Wang, X., Delestre, O., Fullana, J.-M., Saito, M., Ikenaga, Y., Matsukawa, M., Lagr-ee, P.-Y., 2012, "Comparing Different Numerical Methods for Solving Arterial 1D Flows in Networks, " Comput. Methods Biomech. Biomed. Eng., 15(Suppl. 1), pp. 61-62.
18. Wang, X., Fullana, J.-M., Lagr-ee, P.-Y., 2015, "Verification and Comparison of Four Numerical Schemes for a 1D Viscoelastic Blood Flow Model, " Comput. Methods Biomech. Biomed. Eng., 18(15), pp. 1704-1725.
19. Bessems, D., Giannopapa, C., Rutten, M., van de Vosse, F., 2008, "Experimental Validation of a Time-Domain-Based Wave Propagation Model of Blood Flow in Viscoelastic Vessels, " J. Biomech., 41(2), pp. 284-291.
20. Valdez-Jasso, D., Bia, D., Z-ocalo, Y., Armentano, R., Haider, M., Olufsen, M., 2011, "Linear and Nonlinear Viscoelastic Modeling of Aorta and Carotid Pressure-Area Dynamics Under In Vivo and Ex Vivo Conditions, " Ann. Biomed. Eng., 39(5), pp. 1438-1456.
21. Nichols, W., O'Rourke, M., Vlachopoulos, C., 2011, McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles, CRC Press, Boca Raton, FL.