Quantifying arterial residual deformations is critical for understanding the stresses and strains within the arterial wall during physiological and pathophysiological conditions. This study presents novel findings on residual shear deformations in the left anterior descending coronary artery. Residual shear deformations are most evident when thin, long axial strips are cut from the artery. These strips deform into helical configurations when placed in isotonic solution. A residual shear angle is introduced as a parameter to quantify the residual shear deformations. Furthermore, a stress analysis is performed to study the effects of residual shear deformations on the intramural shear stress distribution of an artery subjected to pressure, axial stretch, and torsion using numerical simulation. The results from the stress analyses suggest that residual shear deformations can significantly modulate the intramural shear stress across the arterial wall.
Issue Section:
Research Papers
References
1.
Wang
, R.
, and Gleason
, R. L.
, 2010
, “A Mechanical Analysis of Conduit Arteries Accounting for Longitudinal Residual Strains
,” Ann. Biomed. Eng.
, 38
(4
), pp. 1377
–1387
.10.1007/s10439-010-9916-62.
Holzapfel
, G. A.
et al., 2007
, “Layer-Specific 3D Residual Deformations of Human Aortas With Non-Atherosclerotic Intimal Thickening
,” Ann. Biomed. Eng.
, 35
(4
), pp. 530
–545
.10.1007/s10439-006-9252-z3.
Holzapfel
, G. A.
, and Ogden
, R. W.
, 2010
, “Modelling the Layer-Specific Three-Dimensional Residual Stresses in Arteries, With an Application to the Human Aorta
,” J. Roy. Soc. Interface
, 7
(46
), pp. 787
–799
.10.1098/rsif.2009.03574.
Pao
, Y.
, Lu
, J.
, and Ritman
, E.
, 1992
, “Bending and Twisting of an in vivo Coronary Artery at a Bifurcation
,” J. Biomech.
, 25
(3
), pp. 287
–289
.10.1016/0021-9290(92)90026-W5.
Puentes
, J.
et al, 1998
, “Dynamic Feature Extraction of Coronary Artery Motion Using DSA Image Sequences
,” IEEE Trans. Med. Imaging
, 17
(6
), pp. 857
–871
.10.1109/42.7466196.
Ding
, Z.
, and Friedman
, M. H.
, 2000
, “Quantification of 3-D Coronary Arterial Motion Using Clinical Biplane Cineangiograms
,” Int. J. Cardiac Imaging
, 16
(5
), pp. 331
–346
.10.1023/A:10265904171777.
Ding
, Z.
, Zhu
, H.
, and Friedman
, M. H.
, 2002
, “Coronary Artery Dynamics in vivo
,” Ann. Biomed. Eng.
, 30
(4
), pp. 419
–429
.10.1114/1.14679258.
Ding
, Z.
, and Friedman
, M. H.
, 2000
, “Dynamics of Human Coronary Arterial Motion and its Potential Role in Coronary Atherogenesis
,” ASME J. Biomech. Eng.
, 122
(5
), p. 488
.10.1115/1.12899899.
Omens
, J. H.
, Rockman
, H. A.
, and Covell
, J. W.
, 1994
, “Passive Ventricular Mechanics in Tight-Skin Mice
,” Am. J. Physiol. Heart Circ. Physiol.
, 266
(3
), pp. H1169
–H1176
.10.
Guccione
, J.
, McCulloch
, A.
, and Waldman
, L.
, 1991
, “Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model
,” ASME J. Biomech. Eng.
, 113
(1
), p. 42
.10.1115/1.289408411.
Notomi
, Y.
et al, 2005
, “Measurement of Ventricular Torsion by Two-Dimensional Ultrasound Speckle Tracking Imaging
,” J. Am. College Cardiol.
, 45
(12
), pp. 2034
–2041
.10.1016/j.jacc.2005.02.08212.
Helle-Valle
, T.
et al, 2005
, “New Noninvasive Method for Assessment of Left Ventricular Rotation Speckle Tracking Echocardiography
,” Circulation
, 112
(20
), pp. 3149
–3156
.10.1161/CIRCULATIONAHA.104.53155813.
Humphrey
, J.
, 2002
, Cardiovascular Solid Mechanics: Cells, Tissues, and Organs
, Springer-Verlag
, New York
.14.
Wang
, C.
et al, 2006
, “Three-Dimensional Mechanical Properties of Porcine Coronary Arteries: A Validated Two-Layer Model
,” Am. J. Physiol. Heart Circ. Physiol.
, 291
(3
), p. H1200
.10.1152/ajpheart.01323.200515.
Van Epps
, J. S.
, and Vorp
, D. A.
, 2008
, “A New Three-Dimensional Exponential Material Model of the Coronary Arterial Wall to Include Shear Stress Due to Torsion
,” ASME J. Biomech. Eng.
, 130
, p. 051001
.10.1115/1.294839616.
Rachev
, A.
, and Greenwald
, S.
, 2003
, “Residual Strains in Conduit Arteries
,” J. Biomech.
, 36
(5
), pp. 661
–670
.10.1016/S0021-9290(02)00444-X17.
Hort
, W.
et al, 1982
, “The Size of Human Coronary Arteries Depending on the Physiological and Pathological Growth of the Heart the Age, the Size of the Supplying Areas and the Degree of Coronary Sclerosis
,”Virchows Arch.
397
(1
), pp. 37
–59
.10.1007/BF0043089218.
Timmins
, L.
et al, 2010
, “Structural Inhomogeneity and Fiber Orientation in the Inner Arterial Media
,” Am. J. Physiol. Heart Circ. Physiol.
, 298
(5
), pp. H1537
–H1545
.10.1152/ajpheart.00891.200919.
Nishimura
, T.
, and Ansell
, M.
, 2002
, “Fast Fourier Transform and Filtered Image Analyses of Fiber Orientation in OSB
,” Wood Sci. Technol.
, 36
(4
), pp. 287
–307
.10.1007/s00226010011420.
Wan
, W.
, Dixon
, J.
, and Gleason
, R.
, 2012
, “Constitutive Modeling of Mouse Carotid Arteries Using Experimentally Measured Microstructural Parameters
,” Biophys. J.
, 102
(12
), pp. 2916
–2925
.10.1016/j.bpj.2012.04.03521.
Carboni
, M.
, Desch
, G. W.
, and Weizsacker
, H. W.
, 2007
, “Passive Mechanical Properties of Porcine Left Circumflex Artery and Its Mathematical Description
,” Med. Eng. Phys.
, 29
(1
), pp. 8
–16
.10.1016/j.medengphy.2006.01.00422.
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
.10.1114/1.191Copyright © 2014 by ASME
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