Are geometrical and structural variations along the length of the aorta governed by a principle of "optimal mechanical operation"?

Journal of Biomechanical Engineering

Volumn 135, Issue 8, 2013, Pages

  Rachev, Alexander ^a   Greenwald, Stephen ^b   Shazly, Tarek ^a  

^a The Department of Mechanical Engineering   (United States)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Aorta; Biomechanics; Continuum mechanics; Inverse boundary value problem; Strain energy function

Indexed keywords

AORTA; CIRCUMFERENTIAL STRESS; GEOMETRICAL DIMENSIONS; INVERSE BOUNDARY VALUE PROBLEM; MECHANICAL ENVIRONMENT; MECHANICAL OPERATIONS; STRAIN ENERGY FUNCTIONS; VASCULAR SMOOTH MUSCLE CELLS;

BEARINGS (MACHINE PARTS); BIOMECHANICS; BOUNDARY VALUE PROBLEMS; CONTINUUM MECHANICS; ELASTICITY; GEOMETRY; MATHEMATICAL MODELS; OPTIMIZATION; PHYSIOLOGY; STRESSES;

BLOOD VESSELS;

AORTA; ARTICLE; CARDIOVASCULAR PARAMETERS; GEOMETRY; HEART PRELOAD; HOMEOSTASIS; HUMAN; SMOOTH MUSCLE FIBER; STRESS; VASCULAR SMOOTH MUSCLE; ANATOMY AND HISTOLOGY; ANIMAL; BIOLOGICAL MODEL; BIOMECHANICS; BIOMEDICAL ENGINEERING; HEMODYNAMICS; MOUSE; PHYSIOLOGY; YOUNG MODULUS; HISTOLOGY;

COLLAGEN; ELASTIN;

ANIMALS; AORTA; BIOMECHANICAL PHENOMENA; BIOMEDICAL ENGINEERING; COLLAGEN; ELASTIC MODULUS; ELASTIN; HEMODYNAMICS; MICE; MODELS, CARDIOVASCULAR;

EID: 84880855632     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4024664     Document Type: Article

References (34)

1. Milnor, W. R., 1898, Hemodynamics, 2nd ed., Williams and Wilkines, London.
2. Nichols, W. W., and O'Rourke, M. F., 2005, McDonald's Blood Flow in Arteries. Theoretical, Experimental and Clinical Principles, 5th ed., Oxford Universisty Press, New York.
3. Fung, Y. C., 1993, Biomechanics: Mechanical Properties of Living Tissues, Springer, New York.
4. Humphrey, J. D., 2002, Cardiovascular Solid Mechanics, Springer, New York.
5. Chuong, C. J., and Fung, Y. C., 1983, "Three-Dimensional Stress Distribution in Arteries", ASME J. Biomech. Eng., 105(3), pp. 268-274. (Pubitemid 14164182)
6. Fung, Y. C., and Liu, S. Q., 1989, "Change of Residual Strains in Arteries Due to Hypertrophy Caused by Aortic Constriction", Circ. Res., 65(5), pp. 1340-1349. (Pubitemid 19281718)
7. Han, H.-C., and Fung, Y. C., 1995, "Longitudinal Strain of Canine and Porcine Aortas", J. Biomech., 28(5), pp. 637-641.
8. Guo, X., Kono, Y., Mattrey, R., and Kassab, G. S., 2002, "Morphometry and Strain Distribution of the C57bl/6 Mouse Aorta", Am. J. Physiol. Heart Circ. Physiol., 283(5), pp. H1829-H1837. (Pubitemid 35217016)
9. Guo, X., and Kassab, G. S., 2003, "Variation of Mechanical Properties Along the Length of the Aorta in C57bl/6 Mice", Am. J. Physiol. Heart Circ. Physiol., 285(6), pp. H2614-H2622. (Pubitemid 37443081)
10. Huang, Y., Guo, X., and Kassab, G. S., 2006, "Axial Nonuniformity of Geometric and Mechanical Properties of Mouse Aorta Is Increased During Postnatal Growth", Am. J. Physiol. Heart Circ. Physiol., 290(2), pp. H657-H664.
11. Sokolis, D. P., 2007, "Passive Mechanical Properties and Structure of the Aorta: Segmental Analysis", Acta Physiol., 190(4), pp. 277-289. (Pubitemid 47063377)
12. Fung, Y. C., 1996, Biomechanics: Circulation, Springer-Verlag, New York.
13. Takamizawa, K., and Hayashi, K., 1987, "Strain-Energy Density-Function and Uniform Strain Hypothesis for Arterial Mechanics", J. Biomech., 20(1), pp. 7-17. (Pubitemid 17000562)
14. Sobin, S. S., and Chen, P. C. Y., 1997, "Vascular Cylindricity in Animals and Plants", Ann. Biomed. Eng., 25(1), S32.
15. 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, Course and Lecture No. 441, G. Holzapfel and R. Ogden, eds., Springer, New York, pp. 100-161.
16. Humphrey, J. D., and Rajagopal K. R., 2003, "A Constrained Mixture Model for Arterial Adaptations to a Sustained Step Change in Blood Flow", Biomech. Model. Mechanobiol., 2(2), 109-126.
17. Gleason, R. L., and Humphrey, J. D., 2004, "A Mixture Model of Arterial Growth and Remodeling in Hypertension: Altered Muscle Tone and Tissue Turnover", J. Vasc. Res., 41(4), pp. 352-363. (Pubitemid 39370278)
18. Rucker, R. B., and Tinker, D., 1977, "Structure and Metabolism of Arterial Elastin", Int. Rev. Exp. Pathol., 17(1), pp. 1-47. (Pubitemid 8072083)
19. Gasser, T. C., Ogden, R. W., and Holzapfel, G. A., 2006, "Hyperelastic Modelling of Arterial Layers With Distributed Collagen Fibre Orientations", J. R. Soc. Interface, 3(6), pp. 15-35. (Pubitemid 46682201)
20. Holzapfel, G., Gasser, T., and Ogden, R., 2000, "A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models", J. Elast., 61(1), pp. 1-48. (Pubitemid 32732278)
21. Rachev, A., Taylor, W. R., and Vito, R. P., 2013, "Calculation of the Outcomes of Remodeling of Arteries Subjected to Sustained Hypertension Using a 3D Two-Layered Model", Ann. Biomed. Eng. (published online).
22. Humphrey, J., 2008, "Vascular Adaptation and Mechanical Homeostasis at Tissue, Cellular, and Sub-Cellular Levels", Cell Biochem. Biophys., 50(2), 53-78.
23. Han, H. C., 2007, "A Biomechanical Model of Artery Buckling", J. Biomech., 40, pp. 3672-3678. (Pubitemid 350122512)
24. Rachev, A., 2009, "A Theoretical Study of Mechanical Stability of Arteries", ASME J. Biomech. Eng., 131(5), p. 051006.
25. Han, H.-C., Chesnutt, J. K., Garcia, W. J. R., Liu, Q., and Wen, Q., 2012, "Artery Buckling: New Phenotypes, Models, and Applications", Ann. Biomed. Eng. (published online).
26. Fischer, G. M., and Llaurado J. G., 1966, "Collagen and Elastin Content in Canine Arteries Selected from Functionally Different Beds", Circ. Res., 19, pp. 394-399.
27. Hayter, A. J., 2002, Probability and Statistics, Duxbury, Pacific Grove, CA.
28. Greenwald, S. E., Carter, A. C., and Berry, C. L., 1990, "Effect of Age on the in Vitro Reflection Coefficient of the Aortoiliac Bifurcation in Humans", Circulation, 82(1), pp. 114-123. (Pubitemid 20216322)
29. Taylor, S. H., 1966, "Measurement of Cardiac Output in Man", Proc. R. Soc. Med. London, 59, pp. 35-53.
30. Wolinsky H., and Glagov S., 1964, "Structural Basis for the Static Mechanical Properties of the Aortic Media", Circ. Res., 14, pp. 400-413.
31. Schriefl, A. J., Wolinski, H., Regitnig, P., Kohlwein, S. D., and Holzapfel, G. A., 2013, "An Automated Approach for Three-Dimensional Quantification of Fibrillar Structures in Optically Cleared Soft Biological Tissues", J. R. Soc., Interface, 10(80), p. 20120760.
32. Moriwaki, T., Oie, T., Takamizawa, K., Murayama, Y., and Fukuda, T., Omata, S., Kanda, K., and Nakayama, Y., 2011, "Variations in Local Elastic Modulus Along the Length of the Aorta as Observed by Use of a Scanning Haptic Microscope (SHM)", J. Artif. Organs, 14(4), pp. 276-283.
33. Rachev, A., and Hayashi K., 1999, "Theoretical Study of the Effects of Vascular Smooth Muscle Contraction on Strain and Stress Distributions in Arteries", Ann. Biomed. Eng., 27, pp. 459-468. (Pubitemid 129585000)
34. Fung, Y. C., 1991, "What Are the Residual Stresses Doing in Our Blood Vessels?", Ann. Biomed. Eng., 19(3), pp. 237-249.