ESTIMATION OF THE RATE CONSTANTS IN A DATA-SPARSE ENVIRONMENT - COMPARISON OF A MATHEMATICAL METHOD AND LEAST-SQUARES ANALYSIS
ESTIMATION OF THE RATE CONSTANTS IN A DATA-SPARSE ENVIRONMENT - COMPARISON OF A MATHEMATICAL METHOD AND LEAST-SQUARES ANALYSIS
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DOI：
10.1002/jps.2600770216
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发表时间：
1988-02-01
影响因子：
3.8
通讯作者：
YOUNG, D
中科院分区：
文献类型：
--
作者：
BARCIA, EM;NEWBURGER, J;YOUNG, D
本文提出了一种在数据稀疏环境下估算一级吸收一室开放模型速率常数的新方法。它基于矩阵代数和系统理论的原理，仅需要以相等的时间间隔抽取三到四个血浆样本（至少一个样本处于吸收阶段，一个样本处于消除阶段）。该技术的实用性示出通过比较从矩阵方法的参数估计与从非线性计算机参数估计程序的估计。在对具有完全数据和具有随机分布误差的数据的方法的初步评价中，对于数据稀疏系统，从矩阵方法得到的参数估计被证明与计算机估计一样好。在与已发表的患者数据进行更现实的比较时，矩阵法的kel和ka估计值比计算机估计值好0 - 456%。由于矩阵方法在数学上很简单，只需要三到四个血液样本，它应该证明在数据稀疏系统中非常有用（例如，临床或小动物情况），其中可以抽取最小量的血液样本。
A new method is presented for estimating the rate constants for the one-compartment open model with first-order absorption in a data-sparse environment. It is based on the principles of matrix algebra and system theory and requires only three to four plasma samples drawn at equal time intervals (a minimum of at least one sample in the absorption phase and one sample in the elimination phase). The utility of the technique is illustrated by comparing the parameter estimates from the matrix method with the estimates from a nonlinear computer parameter estimation program. In the preliminary evaluation of the method with both perfect data and data with randomly distributed error, the parameter estimates from the matrix method proved to be as good as the computer estimation for data-sparse systems. In a more realistic comparison with published patient data, the matrix method resulted in 0 to 456% better estimates of kel and ka than the computer estimation. Since the matrix method is mathematically simple and requires only three to four blood samples, it should prove very useful in data-sparse systems (e.g., clinical or small animal situations) which a minimum amount of blood samples can be drawn.