Fan Longling, Yao Jing, Yang Chun, Tang Dalin, Xu Di
J Biomech Eng. 2015 Aug;137(8):081005. doi: 10.1115/1.4030668. Epub 2015 Jun 9.
Methods to quantify ventricle material properties noninvasively using in vivo data are of great important in clinical applications. An ultrasound echo-based computational modeling approach was proposed to quantify left ventricle (LV) material properties, curvature, and stress/strain conditions and find differences between normal LV and LV with infarct. Echo image data were acquired from five patients with myocardial infarction (I-Group) and five healthy volunteers as control (H-Group). Finite element models were constructed to obtain ventricle stress and strain conditions. Material stiffening and softening were used to model ventricle active contraction and relaxation. Systolic and diastolic material parameter values were obtained by adjusting the models to match echo volume data. Young's modulus (YM) value was obtained for each material stress-strain curve for easy comparison. LV wall thickness, circumferential and longitudinal curvatures (C- and L-curvature), material parameter values, and stress/strain values were recorded for analysis. Using the mean value of H-Group as the base value, at end-diastole, I-Group mean YM value for the fiber direction stress-strain curve was 54% stiffer than that of H-Group (136.24 kPa versus 88.68 kPa). At end-systole, the mean YM values from the two groups were similar (175.84 kPa versus 200.2 kPa). More interestingly, H-Group end-systole mean YM was 126% higher that its end-diastole value, while I-Group end-systole mean YM was only 29% higher that its end-diastole value. This indicated that H-Group had much greater systole-diastole material stiffness variations. At beginning-of-ejection (BE), LV ejection fraction (LVEF) showed positive correlation with C-curvature, stress, and strain, and negative correlation with LV volume, respectively. At beginning-of-filling (BF), LVEF showed positive correlation with C-curvature and strain, but negative correlation with stress and LV volume, respectively. Using averaged values of two groups at BE, I-Group stress, strain, and wall thickness were 32%, 29%, and 18% lower (thinner), respectively, compared to those of H-Group. L-curvature from I-Group was 61% higher than that from H-Group. Difference in C-curvature between the two groups was not statistically significant. Our results indicated that our modeling approach has the potential to determine in vivo ventricle material properties, which in turn could lead to methods to infer presence of infarct from LV contractibility and material stiffness variations. Quantitative differences in LV volume, curvatures, stress, strain, and wall thickness between the two groups were provided.
利用体内数据无创量化心室材料特性的方法在临床应用中非常重要。提出了一种基于超声回波的计算建模方法来量化左心室(LV)的材料特性、曲率和应力/应变情况,并找出正常LV与梗死LV之间的差异。从五名心肌梗死患者(I组)和五名健康志愿者(H组作为对照)获取回波图像数据。构建有限元模型以获得心室应力和应变情况。使用材料硬化和软化来模拟心室的主动收缩和舒张。通过调整模型以匹配回波容积数据来获得收缩期和舒张期的材料参数值。为便于比较,为每条材料应力-应变曲线获取杨氏模量(YM)值。记录LV壁厚度、圆周和纵向曲率(C曲率和L曲率)、材料参数值以及应力/应变值进行分析。以H组的平均值作为基准值,在舒张末期,I组纤维方向应力-应变曲线的平均YM值比H组硬54%(136.24 kPa对88.68 kPa)。在收缩末期,两组的平均YM值相似(175.84 kPa对200.2 kPa)。更有趣的是,H组收缩末期平均YM比其舒张末期值高126%,而I组收缩末期平均YM仅比其舒张末期值高29%。这表明H组收缩期-舒张期材料刚度变化大得多。在射血开始(BE)时,LV射血分数(LVEF)分别与C曲率、应力和应变呈正相关,与LV容积呈负相关。在充盈开始(BF)时,LVEF分别与C曲率和应变呈正相关,但与应力和LV容积呈负相关。使用两组在BE时的平均值,I组的应力、应变和壁厚度分别比H组低32%、29%和18%(更薄)。I组的L曲率比H组高61%。两组之间C曲率的差异无统计学意义。我们的结果表明,我们的建模方法有潜力确定体内心室材料特性,这反过来可能会产生从LV收缩性和材料刚度变化推断梗死存在的方法。提供了两组之间LV容积、曲率、应力、应变和壁厚度的定量差异。