A theoretical study of mechanical stability of arteries

Journal of Biomechanical Engineering

Volumn 131, Issue 5, 2009, Pages

  Rachev, Alexander ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Arterial remodeling; Mathieu equation; Parametric resonance; Strutt's diagram

Indexed keywords

ARTERIAL REMODELING; AXIAL COMPRESSIVE FORCES; COMPOSITE BEAM; EXPONENTIAL INCREASE; FINITE DEFORMATIONS; LOAD PARAMETERS; LONGITUDINAL EXTENSION; LONGITUDINAL STRETCH; LOSS OF STABILITY; MATHIEU EQUATION; MEAN PRESSURES; PARAMETRIC RESONANCE; PHYSIOLOGICAL LOADS; PRESSURE FREQUENCY; STABILITY LOSS; STABLE CONFIGURATION; STATIC INSTABILITY; STATIC LOADS; STATIC STABILITY; THEORETICAL STUDY; THICK-WALLED TUBE; THORACIC AORTA; TRANSVERSE VIBRATIONS;

LOADS (FORCES); MATHEMATICAL MODELS; PARAMETRIC DEVICES; RESONANCE; VIBRATION ANALYSIS;

MECHANICAL STABILITY;

ARTERIAL STIFFNESS; ARTERY COMPLIANCE; ARTICLE; BLOOD FLOW VELOCITY; MATHEMATICAL MODEL; MEAN ARTERIAL PRESSURE; MECHANICAL STRESS; THEORETICAL STUDY; YOUNG MODULUS; ANIMAL; ARTERY; PHYSIOLOGY; RABBIT; TENSILE STRENGTH; THEORETICAL MODEL; THORACIC AORTA;

ORYCTOLAGUS CUNICULUS;

ANIMALS; AORTA, THORACIC; ARTERIES; MODELS, THEORETICAL; RABBITS; STRESS, MECHANICAL; TENSILE STRENGTH;

EID: 67651162284     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.3078188     Document Type: Article

References (27)

1. Han, H.-C., 2007, "A Biomechanical Model of Artery Buckling," J. Biomech., 40, pp. 3672-3678.
2. Jackson, Z. C., Dajnowiec, D., Gotlieb, A. I., and Langille, B. L., 2005, "Partial Off-Loading of Longitudinal Tension Induces Arterial Tortuosity," Arterioscler., Thromb., Vasc. Biol., 25(5), pp. 957-962. (Pubitemid 40627839)
3. Seliktar, D., Black, R. A., Vito, R. P., and Nerem, R. M., 2000, "Dynamic Mechanical Conditioning of Collagen-Gel Blood Vessel Constructs Induces Remodeling In Vitro," Ann. Biomed. Eng., 28(4), pp. 351-362.
4. Gleason, R. L., Hu, J. J., and Humphrey, J. D., 2004, "Building a Functional Artery: Issues From the Perspective of Mechanics," Front. Biosci., 9, pp. 2045-2055.
5. Rachev, A., Felden, L., and Ku, D. N., 2005, "Design and Fabrication of Mechanics-Matching Arterial Grafts," Summer Bioengineering Conference.
6. How, T. V., and Clarke, R. M., 1984, "The Elastic Properties of a Polyurethane Arterial Prosthesis," J. Biomech., 17(8), pp. 597-608.
7. Paidoussis, M. P., and Li, G. X., 1993, "Pipes Conveying Fluid: A Model Dynamical Problem," J. Fluids Struct., 7, pp. 137-204.
8. Harings, J. A., 1952, "Instability of Thin-Walled Cylinders Subjected to Internal Pressure," Philips Res. Rep., 7, pp. 112-118.
9. Naguleswaran, S., and Williams, C. J. H., 1968, "Lateral Vibrations of a Pipe Conveying Fluid," J. Mech. Eng. Sci., 10, pp. 228-238.
10. Kamiya, A., and Togawa, T., 1980, "Adaptive Regulation of Wall Shear Stress to Flow Change in Canine Carotid Artery," Am. J. Physiol., 239, pp. 14-21.
11. Fung, Y. C., and Liu, S. Q., 1989, "Change of Residual Strains in Arteries Due to Hypertrophy Caused by Aortic Constriction," Circ. Res., 65, pp. 1340-1349.
12. Langille, B. L., 1993, "Remodeling of Developing and Mature Arteries: Endothelium, Smooth Muscle and Matrix," J. Cardiovasc. Pharmacol., 21(S11-S17), pp. 11-17.
13. Langille, B. L., 1995, Blood Flow-Induced Remodeling of the Arterial Wall, Flow Dependent Regulation of Vascular Function, J. A. Bevin, G. M. Kayley, and G. M. Rubanyi, eds., Oxford University Press, New York.
14. Masuda, H., Bassiiouny, H., Glagov, S., and Zarnis, C. K., 1989, "Artery Wall Restructuring in Response to Increased Flow," Surg. Forum, 40, pp. 285-286. (Pubitemid 20156482)
15. Humphrey, J. D., 2001, Cardiovascular Solid Mechanics, Springer, New York.
16. Xie, W.-C., 2006, Dynamic Stability of Structures, Cambridge University Press, Cambridge.
17. Ziegler, H., 1968, Principles of Structural Stability, Blaisdell, Waltham, MA.
18. Strutt, M., 1932, Lamesche, Mathieusche und verwandte Funktionen in Physik und Technik, Springer-Verlag, Berlin.
19. Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, CA.
20. Matsumoto, T., and Hayashi, K., 1994, "Mechanical and Dimensional Adaptation of Rat Aorta to Hypertension," ASME J. Biomech. Eng., 116, pp. 278-283.
21. Chuong, C. J., and Fung, Y. C., 1986, "On Residual Stress in Arteries," ASME J. Biomech. Eng., 108, pp. 189-192.
22. Vito, R., 2008, personal communication.
23. Achakri, H., Stergiopulos, N., Rachev, A., and Meister, J. J., 1995, "Analysis of Diameter Variability of Muscular Artery During Contraction," Arch. Physiol. Biochem., 103(3), p. 43.
24. Quick, C. M., Baldick, H. L., Safabakhish, N., Lenihan, T. J., Li, J. K., Weizsacker, H. W., and Noordergraaf, A., 1996, "Unstable Radii in Muscular Vessels," Am. J. Physiol., 271(6), Pt. 2, pp. 2669-2675.
25. Ku, D. N., 1997, "Blood Flow in Arteries," Annu. Rev. Fluid Mech., 29, pp. 399-434.
26. Milnor, W. R., 1989, Hemodynamics, Williams & Wilkins, Hong Kong.
27. Rachev, A., 2003, "Remodeling of Arteries in Response to Changes in Their Mechanical Environment," Biomechanics of Soft Tissue in Cardiovascular Systems (CISM Courses and Lectures No. 441), G. Holzapfel and R. Ogden, eds., Springer, Wien, pp. 100-161.