Longitudinal displacement in viscoelastic arteries:A novel fluid-structure interaction computational model, and experimental validation

  • Received: 01 July 2012 Accepted: 29 June 2018 Published: 01 January 2013
  • MSC : Primary: 35Q30, 74F10; Secondary: 92C50.

  • Recent in vivo studies, utilizing ultrasound contour and speckle tracking methods, have identified significant longitudinal displacementsof the intima-media complex, and viscoelastic arterial wall properties over a cardiac cycle. Existing computational models that use thin structure approximations of arterial walls have so far been limited to models that capture only radial wall displacements.The purpose of this work is to present a simple fluid-struture interaction (FSI) model and a stable, partitioned numerical scheme, which capture both longitudinal and radial displacements,as well as viscoelastic arterial wall properties.To test the computational model,longitudinal displacement of the common carotid artery and of the stenosed coronary arteries were compared with experimental datafound in literature, showingexcellent agreement. We found that, unlike radial displacement, longitudinal displacement in stenotic lesionsis highly dependent on the stenotic geometry.We also showed that longitudinal displacement in atherosclerotic arteries is smaller than in healthy arteries,which is in line with the recent in vivo measurements that associate plaque burden with reduced total longitudinal wall displacement.
        This work presents a first step in understanding the role of longitudinal displacement in physiology and pathophysiology of arterial wall mechanicsusing computer simulations.

    Citation: Martina Bukač, Sunčica Čanić. Longitudinal displacement in viscoelastic arteries:A novel fluid-structure interaction computational model, and experimental validation[J]. Mathematical Biosciences and Engineering, 2013, 10(2): 295-318. doi: 10.3934/mbe.2013.10.295

    Related Papers:

  • Recent in vivo studies, utilizing ultrasound contour and speckle tracking methods, have identified significant longitudinal displacementsof the intima-media complex, and viscoelastic arterial wall properties over a cardiac cycle. Existing computational models that use thin structure approximations of arterial walls have so far been limited to models that capture only radial wall displacements.The purpose of this work is to present a simple fluid-struture interaction (FSI) model and a stable, partitioned numerical scheme, which capture both longitudinal and radial displacements,as well as viscoelastic arterial wall properties.To test the computational model,longitudinal displacement of the common carotid artery and of the stenosed coronary arteries were compared with experimental datafound in literature, showingexcellent agreement. We found that, unlike radial displacement, longitudinal displacement in stenotic lesionsis highly dependent on the stenotic geometry.We also showed that longitudinal displacement in atherosclerotic arteries is smaller than in healthy arteries,which is in line with the recent in vivo measurements that associate plaque burden with reduced total longitudinal wall displacement.
        This work presents a first step in understanding the role of longitudinal displacement in physiology and pathophysiology of arterial wall mechanicsusing computer simulations.


    加载中
    [1] Clin. Physiol. Funct. Imaging, 29 (2009), 353-359.
    [2] Circulation Research, 76 (1995), 468-478.
    [3] Hypertension, 26 (1995), 48-54.
    [4] J. Comput. Phys., 227 (2008), 7027-7051.
    [5] SIAM J. Sci. Comput., 30 (2008), 1778-1805.
    [6] J. Cardiovasc. Pharmacol., 7 (1985), S99-S104.
    [7] Journal of Computational Physics. DOI: http://dx.doi.org/10.1016/j.bbr.2011.03.031 (2012).
    [8] Jones & Bartlett Learning, 2010.
    [9] Hypertension, 35 (2000), 1049-1054.
    [10] SIAM J. Appl. Math., 67 (2006), 164-193.
    [11] Submitted, (2012).
    [12] North-Holland, Amsterdam, 2000.
    [13] Am. J. Physiol. Heart Circ. Physiol., 291 (2006), H394-H402.
    [14] Oxford University Press, USA, 2007.
    [15] University of Lyon-INSA, Lyon, France, 2011.
    [16] Journal of Biomechanics, 32 (1999), 1081-1090.
    [17] J. Tehran Heart Cent, 4 (2009), 91-96.
    [18] Circulation, 86 (1992), 232-246.
    [19] North-Holland, Amsterdam, 1983.
    [20] Ann. Biomed. Eng., 36 (2008), 1-13.
    [21] Springer-Verlag Italia, Milano, 2009.
    [22] Second Edition. Springer-Verlag, New York, 1984.
    [23] in "Handbook of Numerical Analysis" (Eds. P.G.Ciarlet and J.-L.Lions), 9 North-Holland, Amsterdam, (2003).
    [24] J. Comput. Phys., 228 (2009), 6916-6937.
    [25] J. Am. Coll. Cardiol., 35 (2000), 164-168.
    [26] Comput. Methods Appl. Mech. Eng., 29 (1981), 329-349.
    [27] Springer-Verlag, New York, 2004.
    [28] Springer-Verlag, New York, 2002.
    [29] Circulation, 80 (1989), 625-635.
    [30] Circulation, 112 (2005), 1486-1493.
    [31] Stroke, 37 (2006), 1103-1105.
    [32] Radiology, 212 (1999), 493-498.
    [33] J. Biomech., 35 (2002), 225-236.
    [34] J. Am. Coll. Cardiol., 13 (1989), 706-715.
    [35] International Journal for Numerical Methods in Biomedical Engineering, 28 (2012), 604-625.
    [36] J. Am. Coll. Cardiol., 39 (2002), 1630-1635.
    [37] Am. J. Physiol. Heart Circ. Physiol., 285 (2003), H384-H391.
    [38] Ultrasound Med. Biol., 32 (2006), 1493-1498.
    [39] Hodder Arnold London, UK, 2005.
    [40] Clin. Physiol. Funct. Imaging, 23 (2003), 247-251.
    [41] Int. J. Morphol., 24 (2006), 413-416.
    [42] AJR. Am. J. Roentgenol., 181 (2003), 1695-1704.
    [43] Cardiovascular Research, 39 (1998), 515-522.
    [44] Atherosclerosis, 217 (2011), 120-124.
    [45] Clin. Physiol. Funct. Imaging, 31 (2011), 32-38.
    [46] Grazer Math. Ber., 348 (2005), 91-112.
    [47] Atherosclerosis, 176 (2004), 157-164.
    [48] Physiol. Meas., 29 (2008), 157-179.
    [49] Vascular Medicine, 2012.
    [50] Ann. Biomed. Eng., 39 (2011), 897-910.
  • Reader Comments
  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(202) PDF downloads(472) Cited by(13)

Article outline

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog