Liu C, Zachara J M
Pacific Northwest National Laboratory, Richland, Washington 99352, USA.
Environ Sci Technol. 2001 Jan 1;35(1):133-41. doi: 10.1021/es001261b.
Monod kinetic parameters (Ks, micromax, and Y) that are estimated from batch experimental data can have large uncertainties due to linear correlations between them. The degree of correlation and the resulting uncertainties of the Monod parameters are functions of the initial experimental conditions, the values of the parameters, the type and magnitude of measurement errors, and the sampling number. Careful manipulation of experimental conditions can reduce the correlations between Monod parameters allowing for the estimation of Monod kinetic parameters with the lowest degree of uncertainty. By dimensionless analysis, the correlation and relative standard deviations of Monod parameters were found to be functions of a few dimensionless variables involving the initial substrate (S0) and cell (X0) concentrations. Quantitative relationships were analyzed between the dimensionless variables and the correlation and the uncertainties of the Monod parameters. This analysis allowed for identification of the optimal experimental conditions for estimating Monod parameters under both no growth and growth conditions coupled with two kinds of measurement errors: those with constant absolute standard deviation and those with constant relative standard deviation. Examples involving the microbial reduction of iron(III) as an electron acceptor are used to illustrate the application of the developed technique.
从间歇实验数据估算的莫诺德动力学参数（Ks、最大比生长速率和Y）由于它们之间的线性相关性可能存在很大的不确定性。相关性程度以及由此产生的莫诺德参数不确定性是初始实验条件、参数值、测量误差的类型和大小以及采样数量的函数。仔细控制实验条件可以减少莫诺德参数之间的相关性，从而以最低的不确定性程度估算莫诺德动力学参数。通过无量纲分析，发现莫诺德参数的相关性和相对标准偏差是几个涉及初始底物（S0）和细胞（X0）浓度的无量纲变量的函数。分析了无量纲变量与莫诺德参数的相关性和不确定性之间的定量关系。该分析有助于确定在无生长和生长条件下，结合两种测量误差（具有恒定绝对标准偏差的误差和具有恒定相对标准偏差的误差）来估算莫诺德参数的最佳实验条件。以微生物将铁（III）作为电子受体进行还原的例子来说明所开发技术的应用。
