An Inverse Method for Imaging the Local Elasticity of Atherosclerotic Coronary Plaques

The rupture of thin-cap fibroatheroma (TCFA) plaques is a major cause of acute coronary events. A TCFA has a trombogenic soft lipid core, shielded from the blood stream by a thin, possibly inflamed, stiff cap. The majority of atherosclerotic plaques resemble a TCFA in terms of overall structural composition, but have a more complex, heterogeneous morphology. An assessment of the material distribution is vital for quantifying the plaque's mechanical stability and for determining the effect of plaque-stabilizing pharmaceutical agents. We describe a new automated inverse elasticity method, intravascular ultrasound (IVUS) modulography, which is capable of reconstructing a heterogeneous Young's modulus distribution. The elastogram (i.e., spatial strain distribution) of the plaque is the input for the method, and is measured using the clinically available technique, IVUS elastography. Our method incorporates a novel divide-and-conquer strategy, allowing the reconstruction of TCFAs as well as heterogeneous plaques with localized regions of soft, weakened tissue. The method was applied to ex vivo elastograms, which were simulated from the cross sections of postmortem human coronary plaques. To demonstrate the clinical feasibility of the method, measured elastograms from human atherosclerotic coronary arteries were analyzed. One elastogram was measured in vitro; the other, in vivo . The method approximated the true Young's modulus distribution of all simulated plaques, while the in vitro reconstruction was in agreement with histology. In conclusion, the IVUS modulography in combination with the IVUS elastography has strong potential to become an all-encompassing modality for detecting plaques, for assessing the information related to their rupture-proneness, and for imaging their heterogeneous elastic material composition.

[1]  G Crosta Mathematical Review: MR2044619 (2005b:74051) Barbone, Paul E.; Gokhale, Nachiket H. Elastic modulus imaging: on the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions , 2005 .

[2]  P. Libby,et al.  Lipid lowering by diet reduces matrix metalloproteinase activity and increases collagen content of rabbit atheroma: a potential mechanism of lesion stabilization. , 1998, Circulation.

[3]  Frits Mastik,et al.  Intravascular elastography: from bench to bedside. , 2003, Journal of interventional cardiology.

[4]  Jacques Ohayon,et al.  Non-invasive high-frequency vascular ultrasound elastography , 2005, Physics in medicine and biology.

[5]  Frits Mastik,et al.  Rationale and methods of the integrated biomarker and imaging study (IBIS): combining invasive and non-invasive imaging with biomarkers to detect subclinical atherosclerosis and assess coronary lesion biology , 2005, The International Journal of Cardiovascular Imaging.

[6]  C J Slager,et al.  Morphometric analysis in three-dimensional intracoronary ultrasound: an in vitro and in vivo study performed with a novel system for the contour detection of lumen and plaque. , 1996, American heart journal.

[7]  Frits Mastik,et al.  Identification of Atherosclerotic Plaque Components With Intravascular Ultrasound Elastography In Vivo: A Yucatan Pig Study , 2002, Circulation.

[8]  Renu Virmani,et al.  Pathology of the thin-cap fibroatheroma: a type of vulnerable plaque. , 2003, Journal of interventional cardiology.

[9]  C. Sumi,et al.  Estimation of shear modulus distribution in soft tissue from strain distribution , 1995, IEEE Transactions on Biomedical Engineering.

[10]  C.L. de Korte,et al.  Non-invasive two dimensional elastography of the carotid artery , 2005, IEEE Ultrasonics Symposium, 2005..

[11]  B. Garra,et al.  Elastography: Ultrasonic imaging of tissue strain and elastic modulus in vivo , 1996 .

[12]  Frits Mastik,et al.  Finite element modeling and intravascular ultrasound elastography of vulnerable plaques: parameter variation. , 2004, Ultrasonics.

[13]  Tomy Varghese,et al.  A general solution for catheter position effects for strain estimation in intravascular elastography. , 2005, Ultrasound in medicine & biology.

[14]  Hiroshi Kanai,et al.  Elasticity Imaging of Atheroma With Transcutaneous Ultrasound , 2003, Circulation.

[15]  C.L. De Korte,et al.  Image artifacts in intravascular elastography , 1996, Proceedings of 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[16]  T I Zohdi,et al.  A phenomenological model for atherosclerotic plaque growth and rupture. , 2004, Journal of theoretical biology.

[17]  D. Vince,et al.  Evaluation of three-dimensional segmentation algorithms for the identification of luminal and medial-adventitial borders in intravascular ultrasound images , 2000, IEEE Transactions on Medical Imaging.

[18]  J. Bamber,et al.  Quantitative elasticity imaging: what can and cannot be inferred from strain images. , 2002, Physics in medicine and biology.

[19]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[20]  M J Davies,et al.  Going from immutable to mutable atherosclerotic plaques. , 2001, The American journal of cardiology.

[21]  J S Chen,et al.  A method for in-vivo analysis for regional arterial wall material property alterations with atherosclerosis: preliminary results. , 2003, Medical engineering & physics.

[22]  P. Serruys,et al.  Characterizing Vulnerable Plaque Features With Intravascular Elastography , 2003, Circulation.

[23]  C T Lancée,et al.  Performance of time delay estimation methods for small time shifts in ultrasonic signals. , 1997, Ultrasonics.

[24]  M. Vannier,et al.  An inverse approach to determining myocardial material properties. , 1995, Journal of biomechanics.

[25]  Yaoyao Cui,et al.  Strain imaging and elasticity reconstruction of arteries based on intravascular ultrasound video images , 2001, IEEE Trans. Biomed. Eng..

[26]  Frits Mastik,et al.  A finite element model for performing intravascular ultrasound elastography of human atherosclerotic coronary arteries. , 2004, Ultrasound in medicine & biology.

[27]  Antonio Colombo,et al.  Terminology for high-risk and vulnerable coronary artery plaques. Report of a meeting on the vulnerable plaque, June 17 and 18, 2003, Santorini, Greece. , 2004, European heart journal.

[28]  Tomy Varghese,et al.  Spatial-angular compounding for elastography using beam steering on linear array transducers. , 2006, Medical physics.

[29]  C. D. de Korte,et al.  Influence of catheter position on estimated strain in intravascular elastography , 1999, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[30]  V. Fuster,et al.  Coronary plaque disruption. , 1995, Circulation.

[31]  J. Albers,et al.  Lipid Lowering and Plaque Regression New Insights Into Prevention of Plaque Disruption and Clinical Events in Coronary Disease , 1993, Circulation.

[32]  H S Borovetz,et al.  Identification of elastic properties of homogeneous, orthotropic vascular segments in distension. , 1995, Journal of biomechanics.

[33]  R D Kamm,et al.  Mechanical properties of model atherosclerotic lesion lipid pools. , 1994, Arteriosclerosis and thrombosis : a journal of vascular biology.

[34]  A.R. Skovoroda,et al.  Tissue elasticity reconstruction based on ultrasonic displacement and strain images , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[35]  Frits Mastik,et al.  Assessment of vulnerable plaque composition by matching the deformation of a parametric plaque model to measured plaque deformation , 2005, IEEE Transactions on Medical Imaging.

[36]  M. Bertrand,et al.  Forward and Inverse Problems in Endovascular Elastography , 1997 .

[37]  C. D. de Korte,et al.  Intravascular ultrasound elastography in human arteries: initial experience in vitro. , 1998, Ultrasound in medicine & biology.

[38]  M J Davies,et al.  The pathophysiology of acute coronary syndromes , 2000, Heart.

[39]  N. Bom,et al.  Semi-automatic contour detection for volumetric quantification of intracoronary ultrasound , 1994, Computers in Cardiology 1994.

[40]  M. O'Donnell,et al.  Model-based reconstructive elasticity imaging of deep venous thrombosis , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[41]  Valentin Fuster,et al.  Intravascular Modalities for Detection of Vulnerable Plaque: Current Status , 2003, Arteriosclerosis, thrombosis, and vascular biology.

[42]  C. Pellot-Barakat,et al.  Vascular Elasticity from Regional Displacement Estimates , 2003, IEEE Symposium on Ultrasonics, 2003.

[43]  William H. Press,et al.  Numerical Recipes Example Book , 1989 .

[44]  J M Rubin,et al.  Vascular intramural strain imaging using arterial pressure equalization. , 2004, Ultrasound in medicine & biology.

[45]  W. Press,et al.  Numerical Recipes Example Book (C). , 1989 .

[46]  Faouzi Kallel,et al.  Tissue elasticity reconstruction using linear perturbation method , 1996, IEEE Trans. Medical Imaging.

[47]  R. Virmani,et al.  Lessons from sudden coronary death: a comprehensive morphological classification scheme for atherosclerotic lesions. , 2000, Arteriosclerosis, thrombosis, and vascular biology.

[48]  Frits Mastik,et al.  Robustness of reconstructing the Young's modulus distribution of vulnerable atherosclerotic plaques using a parametric plaque model. , 2005, Ultrasound in medicine & biology.

[49]  Frits Mastik,et al.  Young's modulus reconstruction of vulnerable atherosclerotic plaque components using deformable curves. , 2006, Ultrasound in medicine & biology.

[50]  Frits Mastik,et al.  Incidence of High-Strain Patterns in Human Coronary Arteries: Assessment With Three-Dimensional Intravascular Palpography and Correlation With Clinical Presentation , 2004, Circulation.

[51]  S Glagov,et al.  Mechanical analysis of heterogeneous, atherosclerotic human aorta. , 1998, Journal of biomechanical engineering.