Laird J D
Circulation. 1976 Mar;53(3):443-9. doi: 10.1161/01.cir.53.3.443.
The goal of this study was to develop, on a rational basis, an index of the intrinsic diastolic elastic properties of the left ventricle. A relatively simple analytic model employing a thin-walled spherical geometry coupled with an approximate formulation of a two-dimensional constitutive relation, was used to examine the primary determinants of the pressure-volume relationship of the intact heart. The results permit comparison with other indices of compliance or wall stiffness. The slope of the dP/dV vs P curve was found to be sensitive to the non-linear elastic constant K, but is also sensitive to variations in cardiac muscle volume. VdP/dV was found to be sensitive to pressure. m = d(log P)/d(log V) = (V/P)(dP/dV) is proposed as an index sensitive to K and relatively insensitive to both pressure and initial cardiac geometry. The index is compared with published studies. Using the data of Fester and Samet, mean values of the asymptotic log-log P-V slope, m, evaluated at end-diastole for normal, idiopathic hypertrophy, mild, moderate and severe coronary artery disease were 3.95 +/- 0.60 (SEM), 5.05 +/- 1.60, 5.24 +/- 0.96, 8.35 +/- 2.06, and 15.13 +/- 3.0, respectively. At values of LVEDP less than 7 mm Hg the concept of simple distension is questioned. The advantages and limitations of this approximate index are discussed. This index seems to afford a practical measure of the elastic properties of the wall over a rather wide range of pressure, volume, wall mass and wall thickness.
本研究的目的是在合理的基础上,建立左心室舒张期固有弹性特性的指标。采用薄壁球形几何结构结合二维本构关系的近似公式的相对简单的分析模型,来研究完整心脏压力-容积关系的主要决定因素。研究结果可与其他顺应性或壁僵硬度指标进行比较。发现dP/dV与P曲线的斜率对非线性弹性常数K敏感,但也对心肌体积的变化敏感。发现VdP/dV对压力敏感。提出m = d(log P)/d(log V) = (V/P)(dP/dV)作为对K敏感且对压力和初始心脏几何形状相对不敏感的指标。该指标与已发表的研究进行了比较。使用费斯特和萨梅特的数据,正常、特发性肥厚、轻度、中度和重度冠状动脉疾病在舒张末期评估的渐近对数-对数P-V斜率m的平均值分别为3.95±0.60(标准误)、5.05±1.60、5.24±0.96、8.35±2.06和15.13±3.0。在左心室舒张末期压力(LVEDP)小于7 mmHg时,单纯扩张的概念受到质疑。讨论了这个近似指标的优点和局限性。该指标似乎能在相当宽的压力、容积、壁质量和壁厚度范围内,提供一种衡量壁弹性特性的实用方法。