Vanholder R, Burgelman M, De Smet R, Voogeleere P, Ringoir S
Nephrology Department, University Hospital, Ghent, Belgium.
Blood Purif. 1996;14(6):437-50. doi: 10.1159/000170297.
The mathematics used for urea kinetic modeling are currently based on a single-pool distribution of urea throughout the body. In this study, we evaluated which one of a single- or a two-pool model would be more appropriate for the prediction of directly measured urea decay during hemodialysis. A numerical method was used which minimizes the relative root mean square (RMS) error between a calculated single- or two-pool urea decay curve and the measured intradialysis decay in 13 equilibrated dialysis patients. Using a two-pool model, the RMS error was markedly lower (1.27 +/- 0.72%) than the values obtained with a single-pool model, either based on multiple urea concentrations (RMS error 3.14 +/- 1.36%; p < 0.01 vs. two-pool model) or only on pre- and postdialysis urea (RMS error 5.00 +/- 2.38%; p < 0.001). This resulted for the single-pool model in an overall underestimation of urea generation, distribution volume (V) and protein catabolic rate and in an overestimation of Kt/V versus the two-pool model. In individual cases, the difference reached up to 18.7%. Comparison of V calculated from the two-pool model versus V values determined from anthropometric formulae (Watson) resulted in similar mean values (34.05 +/- 4.87 vs. 33.09 +/- 4.19 liters; p = NS), with a weak correlation (n = 13, r = 0.75, p = 0.003). Individual values, however, again differed by up to more than 20%. In conclusion, the use of single-pool kinetic models, as well as of anthropometric estimations of V, should be regarded with care, especially when individual patients are considered instead of groups. The two-pool model follows the directly measured urea decay more exactly which results in substantial differences in calculated kinetic parameters.
用于尿素动力学建模的数学方法目前基于尿素在全身的单池分布。在本研究中,我们评估了单池模型或双池模型哪一个更适合预测血液透析期间直接测量的尿素衰减。使用了一种数值方法,该方法使计算出的单池或双池尿素衰减曲线与13名平衡透析患者透析期间测量的衰减之间的相对均方根(RMS)误差最小化。使用双池模型时,RMS误差(1.27±0.72%)明显低于单池模型得到的值,单池模型要么基于多个尿素浓度(RMS误差3.14±1.36%;与双池模型相比,p<0.01),要么仅基于透析前和透析后的尿素(RMS误差5.00±2.38%;与双池模型相比,p<0.001)。对于单池模型,这导致尿素生成、分布容积(V)和蛋白质分解代谢率总体被低估,与双池模型相比,Kt/V被高估。在个别情况下,差异高达18.7%。将双池模型计算的V值与根据人体测量公式(沃森公式)确定的V值进行比较,得到的平均值相似(34.05±4.87对33.09±4.19升;p=无显著性差异),相关性较弱(n=13,r=0.75,p=0.003)。然而,个体值再次相差超过20%。总之,应谨慎使用单池动力学模型以及V的人体测量估计值,尤其是在考虑个体患者而非群体时。双池模型更准确地跟踪直接测量的尿素衰减,这导致计算出的动力学参数存在实质性差异。