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Research Papers

Biaxial Contractile Mechanics of Common Carotid Arteries of Rabbit

[+] Author and Article Information
Keiichi Takamizawa

Department of Biomedical Engineering,
National Cerebral and Cardiovascular
Center Research Institute,
5-7-1 Fujishirodai, Suita,
Osaka 565-8565, Japan
e-mail: keiichi.takamizawa@gmail.com;
ktaka@ri.ncvc.go.jp

1Corresponding author.

Manuscript received April 30, 2014; final manuscript received October 29, 2014; published online February 2, 2015. Assoc. Editor: Kristen Billiar.

J Biomech Eng 137(3), 031010 (Mar 01, 2015) (5 pages) Paper No: BIO-14-1184; doi: 10.1115/1.4028988 History: Received April 30, 2014; Revised October 29, 2014; Online February 02, 2015

Few multiaxial constitutive laws under the vasoactive condition have been proposed as compared with those under the passive condition. The biaxial isometric properties of vasoactive rabbit arteries were studied, although the constitutive law was not proposed. The purpose of the present study is also to describe the multiaxial active mechanical properties of arteries. A novel strain energy function for the active stress has been proposed. This function is simple and may describe the multiaxial characteristics of constricted vessels. Although this study used mean stress and mean stretch ratio to determine the mechanical properties of vessels, a triaxial constitutive law of constricted vessels may be developed. There remains the subject of residual strains under active condition. If this problem will be solved, the accurate stress analysis under vasoactive conditions is possible.

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References

Herlihy, J. T., and Murphy, R. A., 1973, “Length–Tension Relationship of Smooth Muscle of the Hog Carotid Artery,” Circ. Res., 33(3), pp. 275–283. [CrossRef] [PubMed]
Herlihy, J. T., 1980, “Helically Cut Vascular Strip Preparation: Geometrical Considerations,” Am. J. Physiol. Heart Circ. Physiol., 238(1), pp. H107–H109.
Ohhashi, T., and Azuma, T., 1980, “Paradoxical Relaxation of Strips Induced by Vasoconstrictive Agents,” Blood Vessels, 17(1), pp. 16–26. [PubMed]
Dobrin, P. B., 1973, “Isometric and Isobaric Contraction of Carotid Arterial Smooth Muscle,” Am. J. Physiol., 225(3), pp. 659–663. [PubMed]
Cox, R. H., 1978, “Comparison of Carotid Artery Mechanics in the Rat, Rabbit, and Dog,” Am. J. Physiol. Heart Circ. Physiol., 234(3), pp. H280–H288.
Vaishnav, R. N., Young, J. T., and Patel, D. J., 1973, “Distribution of Stresses and of Strain–Energy Density Through the Wall Thickness in a Canine Aortic Segment,” Circ. Res., 32(5), pp. 577–587. [CrossRef] [PubMed]
Fung, Y. C., Fronek, K., and Patitucci, P., 1979, “Pseudoelasticity of Arteries and Choice of its Mathematical Expression,” Am. J. Physiol. Heart Circ. Physiol., 237(5), pp. H620–H631.
Holzapfel, G. A., Gasser, G. A., and Ogden, R. W., 2000, “A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models,” J. Elasticity, 61(1–3), pp. 1–48. [CrossRef]
Humphrey, D. J., 2002, Cardiovascular Solid Mechanics: Cells, Tissues, and Organs, Springer-Verlag, NY.
Huo, Y., Cheng, Y., Zhao, X., Lu, X., and Kassab, G. A., 2012, “Biaxial Vasoactivity of Porcine Coronary Artery,” Am. J. Physiol. Heart Circ. Physiol., 302(10), pp. H2058–H2063. [CrossRef] [PubMed]
Muratada, S. C., Kroon, M., and Holzapfel, G. A., 2010, “A Calcium-Driven Mechanochemical Model for Prediction of Force Generation in Smooth Muscle,” Biomech. Modell. Mechanobiol., 9(6), pp. 749–762. [CrossRef]
Muratada, S. C., Arner, A., and Holzapfel, G. A., 2012, “Experiments and Mechanochemical Modeling of Smooth Muscle Contraction: Significance of Filament Overlap,” J. Theor. Biol., 297(3), pp. 176–186. [CrossRef] [PubMed]
Böl, M., and Schmitz, A., 2013, “A Coupled Chemomechanical Model for Smooth Muscle Contraction,” Computer Models in Biomechanics. From Nano to Macro, G. A.Holzapfel, and E.Kuhl, eds., Springer, Amsterdam, The Netherlands, pp. 63–75.
Takamizawa, K., Hayashi, K., and Matsuda, T., 1992, “Isometric Biaxial Tension of Smooth Muscle in Isolated Cylindrical Segments of Rabbit Arteries,” Am. J. Physiol. Heart Circ. Physiol., 263(1), pp. H30–H34.
Holzapfel, G. A., Sommer, G., Gasser, C. T., and Regitnig, P., 2005, “Determination of Layer-Specific Mechanical Properties of Human Coronary Arteries With Nonatherosclerotic Intimal Thickening and Related Constitutive Modeling,” Am. J. Physiol. Heart Circ. Physiol., 289(5), pp. H2048–H2058. [CrossRef] [PubMed]
Takamizawa, K., and Hayashi, K., 1987, “Strain Energy Density Function and Uniform Strain Hypothesis for Arterial Mechanics,” J. Biomech., 20(1), pp. 7–17. [CrossRef] [PubMed]
Carew, T. E., Vaishnav, R. N., and Patel, D. J., 1968, “Compressibility of the Arterial Wall,” Circ. Res., 23(1), pp. 61–68. [CrossRef] [PubMed]
Patel, D. J., and Fry, D. L., 1969, “The Elastic Symmetry of Arterial Segments in Dogs,” Circ. Res., 24(1), pp. 1–8. [CrossRef] [PubMed]
Holzapfel, G. A., Gasser, T. C., and Stadler, M., 2002, “A Structural Model for Viscoelastic Behavior of Arterial Walls: Continuum Formulation and Finite Analysis,” Eur. J. Mech. A/Solids, 21(3), pp. 441–463. [CrossRef]
Arner, A., and Uvelius, B., 1982, “Force–Velocity Characteristics and Active Tension in Relation to Content and Orientation of Smooth Muscle Cells in Aortas from Normotensive and Spontaneous Hypertensive Rats,” Circ. Res., 50(6), pp. 812–821. [CrossRef] [PubMed]
Todd, M. E., Laye, C. G., and Osborne, D. N., 1983, “The Dimensional Characteristics of Smooth Muscle in Rat Blood Vessels. A Computer-Assisted Analysis,” Circ. Res., 53(3), pp. 319–331. [CrossRef] [PubMed]
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(4), pp. 459–468. [CrossRef] [PubMed]
Zulliger, M. A., Rachev, A., and Stergiopulos, N., 2004, “A Constitutive Formulation of Arterial Mechanics Including Vascular Smooth Muscle Tone,” Am. J. Physiol. Heart Circ. Physiol., 287(3), pp. H1335–H1343. [CrossRef] [PubMed]
Wagner, H. P., and Humphrey, D. J., 2011, “Differential Passive and Active Biaxial Mechanical Behavior of Muscular and Elastic Arteries: Basilar Versus Common Carotid,” ASME J. Biomech. Eng., 133(5), p. 051009. [CrossRef]
Huo, Y., Zhao, X., Cheng, X., Lu, X., and Kassab, G. S., 2013, “Two-Layer Model of Coronary Artery Vasoactivity,” J. Appl. Physiol., 114(10), pp. 1451–1459. [CrossRef] [PubMed]

Figures

Grahic Jump Location
Fig. 1

Mean diameter–pressure (a) and axial force–pressure (b) relationships of 10 common carotid arteries under passive and activated conditions. Diameter and axial force are represented as mean and SE.

Grahic Jump Location
Fig. 2

Mean circumferential stress (a) and mean axial stress (b) under passive and activated conditions. Each value is represented as mean and SE.

Grahic Jump Location
Fig. 3

Mean circumferential, axial, and radial active stresses (a). Mean ratios of axial to circumferential stress and radial to circumferential stress (b). Each value is represented as mean and SE of ten data (the rightest two points are mean and SE of nine data).

Grahic Jump Location
Fig. 4

Representative passive stress (a) and active stress (b). Results based on the strain energy functions are represented by solid curves.

Grahic Jump Location
Fig. 5

Representative diameter–pressure relationships (a) and axial force–pressure relationships (b) under passive and activated conditions. For the theoretical model, the intraluminal pressure and axial force were calculated as the following equations: Pi = 2[(do-di)/(do+di)](λθ∂W/∂λθ-λr∂W/∂λr), Fz = (π/4)(do2-di2)[λz∂W/∂λz-(λθ∂W/∂λθ+ λr∂W/∂λr)/2].

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