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(Circulation. 2003;107:3018.)
© 2003 American Heart Association, Inc.
Brief Rapid Communications |
From the Graduate School of Engineering, Tohoku University (H.K., H.H.); Sendai Hospital of East Railway Company (M.I.); National Sendai Hospital (F.T.); and Tohoku University Graduate School of Medicine (Y.K.), Sendai, Japan.
Correspondence to Hiroshi Kanai, PhD, Department of Electronic Engineering, Graduate School of Engineering, Tohoku University, Sendai 980-8579, Japan. E-mail hkanai{at}ecei.tohoku.ac.jp
| Abstract |
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Methods and Results This article describes a noninvasive method for evaluating the regional elasticity (the elastic modulus in the circumferential direction) of tissue surrounding atherosclerotic plaque in which a novel phased tracking method is applied to measure minute changes in thickness of each of the multiple layers of the arterial wall during one heartbeat. By comparing the pathological findings with the distribution of elasticity, average elasticity of lipid and that of a mixture of smooth muscle and collagen fiber can be determined. On the basis of these reference parameters, each point is statistically categorized as lipid, mixture, or other. Thus, the plaque is electronically stained using transcutaneous ultrasound. By applying the method to the common carotid arteries, the presence of thin collagen fiber was clarified along the arterial axis for normal subjects, whereas soft inclusion of lipid was found for every plaque in subjects with hyperlipidemia.
Conclusion This novel method offers potential as a diagnostic technique for detection of plaque vulnerability with high spatial resolution.
Key Words: atherosclerosis elasticity plaque ultrasonics
| Introduction |
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| Methods |
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hmn(t)=xmn+1(t)-xmn(t)-h0.
In the phased tracking method, for calculation of the auto-correlation function between the quadrature-demodulated signals of sequentially received echoes, minute phase change of
0.4 degrees caused by movement of the nth point during the pulse transmission interval
T (=200 µs) can be accurately determined by introducing a constraint, namely, that their waveforms are identical but their phase values change.12,13 The lowest value of the change in thickness was validated as being
0.5 µm by expanding a rubber plate in a water tank.14 Such a minute change in thickness cannot be measured by any other method. This method has already been applied to the in vivo detection of regional instantaneous displacement and change in thickness, with sufficient reproducibility, in the interventricular septum12,13,15 and in the common carotid artery (CCA).16
Elasticity Estimation
From the ratio of the maximum decrease in thickness during one heartbeat,
hmn,max=maxt|
hmn(t)|, to the initial thickness h0 of the nth layer, the maximum deformation of the nth layer was obtained by 
mn,max=
hmn,max/h0. Because the deformation was sufficiently small and was in the linear regime, it showed incremental strain in the radial direction. By assuming that the arterial wall is incompressible and that the blood pressure is applied perpendicularly to each layer, the elastic modulus of the nth layer along the mth beam, E
mn, is approximately given by17
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where
mn,0 is the initial inner radius of curvature of the nth layer along the mth beam at a time t0. We assumed that the pressure in the arterial wall decreases linearly with the distance from the intimal side to the adventitia and that the arterial wall is almost isotropic.18
For the region with a length of 18 mm along the axis of the artery, the regional elasticity E
mn was estimated on the cross-sectional image. Because the reflected ultrasound was received at a sampling interval of 100 ns (=75 µm along depth direction) after the quadrature demodulation, we further divided each layer with a thickness of h0 into 5 points, shifted the initial depth of each layer by one fifth of h0, and applied the above procedure to each depth. Thus, E
mn was estimated at intervals of 75 µm in the depth direction and 300 µm in the axial direction. Using a silicone tube with two layers set in an artificial circulation system,17 the accuracy of the measurement of regional elasticity for each layer has already been validated to be
0.1 MPa17that is, the error is
8% of the elasticity value obtained by a separate static pressure-diameter test.
In in vivo experiments before the extraction of an iliac artery and in in vitro experiments (described below) after such extraction, the average elasticity was
0.96±0.48 MPa and 0.89±0.31 MPa, respectively, the difference between them being
8%. Thus, the slight influence of assaying the artery through the skin was eliminated.
In separate in vivo experiments, when the pressure of the ultrasonic probe on the skin surface of a healthy subject was set as 8.0, 14.0, 33.2, 40.7, 54.5, and 74.3 mm Hg, the measured diameter of the same point of the CCA changed as 6.8, 6.8, 6.6, 6.1, 6.0, and 5.4 mm, respectively. For higher pressure, the cross section of the artery changes from a circular to an oval shape. We confirmed that the measured elasticity is not influenced by the pressure on the ultrasonic probe to the skin surface as long as the pressure is ≤30 mm Hg. In our in vivo experiments, the ultrasonic probe was held on the skin surface with a pressure of 30 mm Hg.
| Results |
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,mn, was measured using the above method [Figure 1(1)] under the same artificial circulation system to generate a change in pressure so that it ranged from the diastolic pressure to the systolic pressure of the subjects. After each in vitro measurement, elastica-Masson stain was applied. Two typical results are shown in Figure 1(2). From the stain images, 10 regions with either lipid or a mixture of smooth muscle and collagen fiber were assigned in E
,mn of the 9 specimens. Each histogram of E
,m,n in the respective regions is shown in Figure 1(3). For the respective categories of the 9 arteries, the average and the standard deviation in elasticity were determined to be 81±40 kPa and 1.0±0.63 MPa, which were registered as the reference parameters [Figure 1(4)].
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On the basis of these reference parameters, each point in the cross-sectional elasticity distribution, which had been noninvasively measured by the above method in separate in vivo experiments, was statistically classified as one of 3 categories (lipid, mixture of smooth muscle and collagen fiber, or other). Thus, the arterial wall and the atherosclerotic plaque were electronically stained.
For CCAs
The proposed method was applied to in vivo measurements of the CCAs of 2 healthy subjects [Figure 2, (a) and (b)] and 2 patients with hyperlipidemia having atherosclerotic plaques [Figure 2, (c) and (d)]. In Figure 2, for each subject, a cross-sectional image obtained by conventional ultrasound diagnostic equipment is shown at the top. The cross-sectional elasticity distribution of E
,mn was color-coded and superimposed on the reconstructed B-mode image as shown in the middle. Finally, at the bottom, the categorized result is shown. The lipid and the mixture of smooth muscle and collagen fiber are shown by yellow and cyan, respectively, and the category of "other" is not colored.
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| Discussion |
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| Conclusion |
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Received March 6, 2002; revision received May 6, 2003; accepted May 7, 2003.
| References |
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