Poon C S, Kim H K
Ann Biomed Eng. 1985;13(6):475-90. doi: 10.1007/BF02584253.
The resolving powers of the enforced smoothing and log-normal parametric estimation techniques in recovering ventilation/perfusion ratio (VA/Q) distributions were evaluated using noisy inert gas elimination data simulated from hypothetical distribution functions representing various degrees of heterogeneity. The resolving powers were assessed in terms of the statistical recoverabilities of the shunt, dead space, modality, and modal moments characterizing the perfusion distribution. For all distributions tested, both modal mean and shunt were estimated by either technique with sufficient accuracies. Modal dispersions (sigma) were consistently overestimated by up to 0.15 decade for narrow distributions, but the mean errors became negligible for sigma greater than 0.2 decade. As compared with the shunt, the dead space estimates were more variable and biased, probably due to their indirect estimation from the perfusion distribution, which was imperfectly recovered. Both broad unimodal and widely separated bimodal or trimodal distributions (sigma greater than 0.6 decade) were recovered as bimodal distributions of similar forms, so that detection of modality was difficult. The recoveries by both techniques were comparable in most cases studied, except that parametric estimation generally tended to be more sensitive to measurement errors and was computationally less efficient. These results provide a useful basis for the interpretation of VA/Q distributions obtained from empirical inert gas data.
利用从代表不同程度异质性的假设分布函数模拟得到的含噪声惰性气体清除数据,评估了强制平滑和对数正态参数估计技术在恢复通气/灌注比(VA/Q)分布方面的分辨能力。分辨能力根据表征灌注分布的分流、死腔、模态和模态矩的统计可恢复性进行评估。对于所有测试分布,两种技术对模态均值和分流的估计都具有足够的准确性。对于窄分布,模态离散度(sigma)始终被高估高达0.15个数量级,但当sigma大于0.2个数量级时,平均误差可忽略不计。与分流相比,死腔估计的变异性和偏差更大,这可能是由于它们是从灌注分布间接估计得到的,而灌注分布并未被完美恢复。宽单峰以及广泛分离的双峰或三峰分布(sigma大于0.6个数量级)都被恢复为类似形式的双峰分布,因此模态检测较为困难。在大多数研究案例中,两种技术的恢复情况相当,只是参数估计通常对测量误差更敏感,且计算效率较低。这些结果为解释从经验性惰性气体数据获得的VA/Q分布提供了有用的基础。