Biaxial Constitutive Model of Active Coronary Media Based on Microstructural Information

Abstract

Detailed morphological data of vascular smooth muscle cells (VSMC) of coronary arteries were limited. The present study was to quantify dimensions and orientation of swine coronary VSMC and to develop a micro-structural constitutive model of active media. It was found that geometrical parameters of VSMC (length, width, spatial aspect ratio, and orientation) follow normal distributions, and VSMCs orientate towards the circumferential direction of vessels with oblique and symmetrical angles. A micro-structural model of media layer was developed to accurately predict biaxial active responses of coronary arterial media, based on experimental measurements. The present morphological data base and micro-structural model lead to a better understanding of biomechanics of muscular vessels.

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Chen, H. , Huo, Y. and Kassab, G. (2013) Biaxial Constitutive Model of Active Coronary Media Based on Microstructural Information. Engineering, 5, 341-346. doi: 10.4236/eng.2013.510B069.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] X. Lu and G. S. Kassab, “Vasoactivity of Blood Vessels using A Novel Isovolumic Myograph,” Annals of Biomedical Engineering, Vol. 35, 2007, pp. 356-366. http://dx.doi.org/10.1007/s10439-006-9243-0
[2] Y. Huo, Y. Cheng, X. Zhao, X. Lu and G. S. Kassab, “Biaxial Vasoactivity of Porcine Coronary Artery,” American Journal of Physiology Heart and Circulatory Physiology, Vol. 302, 2012, pp. 2058-2063. http://dx.doi.org/10.1152/ajpheart.00758.2011
[3] Y. Huo, X. Zhao, Y. Cheng, X. Lu and G. S. Kassab, “Two-Layer Model of Coronary Artery Vasoactivity,” Journal of Applied Physiology, Vol. 114, 2013, pp. 1451- 1459. http://dx.doi.org/10.1152/japplphysiol.01237.2012
[4] M. A. Gaballa, C. T. Jacob, T. E. Raya, J. Liu, B. Simon and S. Goldman, “Large Artery Remodeling During Aging: Biaxial Passive and Active Stiffness,” Hypertension, Vol. 32, No. 3, 1998, pp. 437-443. http://dx.doi.org/10.1161/01.HYP.32.3.437
[5] D. M. Hayman, J. Zhang, Q. Liu, Y. Xiao and H. C. Han, “Smooth Muscle Cell Contraction Increases the Critical Buckling Pressure of Arteries,” Journal of Biomechanics, Vol. 46, 2013, pp. 841-844. http://dx.doi.org/10.1016/j.jbiomech.2012.11.040
[6] H. Wolinsky and S. Glagov, “A Lamellar Unit of Aortic Medial Structure and Function in Mammals,” Circulation Research, Vol. 20, 1967, pp. 99-111. http://dx.doi.org/10.1161/01.RES.20.1.99
[7] M. J. Osborne-Pellegrin. “Some Ultrastructural Characteristics of the Renal Artery and Abdominal Aorta in the Rat,” Journal of Anatomy, Vol. 125, 1978, pp. 641-652.
[8] J. A. G. Rhodin. “Architecture of the Vessel Wall,” In: D. F. Bohr, A. P. Somlyo, A. V. Sparks, Eds., Handbook of Physiology, Section 2: The Cardiovascular System, Volume II, American physiology society, Bethesda, 1980, pp. 1-31.
[9] T. Fujiwara and Y. Uehara, “The Cytoarchitecture of the Medial Layer in Rat Thoracic Aorta: A Scanning Electron-microscopic Study,” Cell and Tissue Research, Vol. 270, 1992, pp. 165-172. http://dx.doi.org/10.1007/BF00381891
[10] J. Stâlhand, A. Klarbring and G. A. Holzapfel, “A Mechanochemical 3D Continuum Model for Smooth Muscle Contraction under Finite Strains,” Journal of Theoretical Biology, Vol. 268, 2011, pp. 120-130. http://dx.doi.org/10.1016/j.jtbi.2010.10.008
[11] H. Chen, T. Luo, X. F. Zhao, X. Lu, Y. L. Huo and G. S. Kassab, “V Microstructural Constitutive Model of Active Coronary Media,” Biomaterials, Vol. 34, No. 31, 2013,pp. 7575-7583. http://dx.doi.org/10.1016/j.biomaterials.2013.06.035
[12] J. M. Clark and S. Glagov, “Transmural Organization of the Arterial Media. The Lamellar Unit Revisited,” Arteriosclerosis, Vol. 5, 1985 pp. 19-34. http://dx.doi.org/10.1161/01.ATV.5.1.19
[13] T. R. Hansen, D. X. Dineen, G. L. Pullen, “Orientation of Arterial Smooth Muscle and Strength of Contraction of Aortic Strips from DOCA-hypertensive Rats,” Blood Vessels, Vol. 17, 1980, pp. 302-311.
[14] M. K. O’Connell, S. Murthy, S. Phan, C. Xu, J. Buchanan, R. Spilker, et al., “The Three-Dimensional Micro- and Nanostructure of the Aortic Medial Lamellar Unit Measured Using 3D Confocal and Electron Microscopy Imaging,” Matrix Biology, Vol. 27, 2008, pp. 171-181. http://dx.doi.org/10.1016/j.matbio.2007.10.008
[15] A. Zoumi, X. Lu, G. S. Kassab and B. J. Tromberg, “Imaging Coronary Artery Microstructure Using Second-Harmonic and Two-Photon Fluorescence Microscopy,” Biophysical Journal, Vol. 87, 2004, pp. 2778-2786. http://dx.doi.org/10.1529/biophysj.104.042887
[16] M. Y. Loqman, P. G. Bush, C. Farquharson, A. C. Hall, “A Cell Shrinkage Artefact in Growth Plate Chondrocytes with Common Fixative Solutions: Importance of Fixative Osmolarity for Maintaining Morphology,” European Cells and Materials, Vol. 19, 2010, pp. 214-227.
[17] Y. Hollander, D. Durban, X. Lu, G. S. Kassab and Y. Lanir, “Experimentally Validated Microstructural 3D Constitutive Model of Coronary Arterial Media,” Journal of Biomechanical Engineering, Vol. 133, 2011, p. 031007. http://dx.doi.org/10.1115/1.4003324
[18] Y. Hollander, D. Durban, X. Lu, G. S. Kassab and Y. Lanir, “Constitutive Modeling of Coronary Arterial Media-comparison of Three Model Classes,” Journal of Biomechanical Engineering, Vol. 133, 2011, p. 061008. http://dx.doi.org/10.1115/1.4004249
[19] B. E. Carlson and T. W. Secomb, “A Theoretical Model for the Myogenic Response Based on the Length-tension Characteristics of Vascular Smooth Muscle,” Microcirculation, Vol. 12, 2005, pp. 327-338. http://dx.doi.org/10.1080/10739680590934745
[20] H. Chen, Y. Liu, M. N. Slipchenko, X. F. Zhao, J. X. Cheng and G. S. Kassab, “The Layered Structure of Coronary Adventitia under Mechanical Load,” Biophysical Journal, Vol. 101, 2011, pp. 2555-2562. http://dx.doi.org/10.1016/j.bpj.2011.10.043
[21] H. Chen, X. Zhao, X. Lu and G. S. Kassab, “Non-linear Micromechanics of Soft Tissues,” International Journal of Non-Linear Mechanics, Vol. 56, 2013, pp. 79-85. http://dx.doi.org/10.1016/j.ijnonlinmec.2013.03.002
[22] M. S. Sacks. “Incorporation of Experimentally-derived Fiber Orientation into A Structural Constitutive Model for Planar Collagenous Tissues,” Journal of Biomechanical Engineering, Vol. 125, 2003, pp. 280-287. http://dx.doi.org/10.1115/1.1544508
[23] J. A. Stella, J. Liao, Y. Hong, W. David Merryman, W. R. Wagner and M. S. Sacks, “Tissue-to-cellular Level Deformation Coupling in Cell Micro-integrated Elastomeric Scaffolds,” Biomaterials, Vol. 29, 2008, pp. 3228-3236. http://dx.doi.org/10.1016/j.biomaterials.2008.04.029
[24] D. E. Ingber, “Cellular Mechanotransduction: Putting All the Pieces Together Again,” The FASEB Journal, Vol. 20, 2006, pp. 811-827. http://dx.doi.org/10.1096/fj.05-5424rev
[25] L. H. Timmins, Q. Wu, A. T. Yeh and J. E. Moore, “Greenwald SE. Structural Inhomogeneity and Fiber Orientation in the Inner Arterial Media,” American Journal of Physiology Heart and Circulatory Physiology, Vol. 298, 2010, pp. 1537-1545. http://dx.doi.org/10.1152/ajpheart.00891.2009
[26] S. Verlohren, G. Dubrovska, S. Y. Tsang, K. Essin, F. C. Luft, Y. Huang, et al., “Visceral Periadventitial Adipose Tissue Regulates Arterial Tone of Mesenteric Arteries,” Hypertension, Vol. 44, 2004, pp. 271-276. http://dx.doi.org/10.1161/01.HYP.0000140058.28994.ec

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