Krumins Valdis, Fennell Donna E
Department of Environmental Sciences, Rutgers, The State University of New Jersey , New Brunswick, New Jersey.
Environ Eng Sci. 2014 Oct 1;31(10):548-555. doi: 10.1089/ees.2013.0463.
We performed Monte Carlo simulations of batch transformations of hydrophobic compounds using typical numbers of data points, extent of reaction, and measurement error, to identify the most appropriate biotransformation model to describe such data under different conditions. Highly hydrophobic compounds such as polychlorinated biphenyls (PCBs) and dioxins present special challenges for parameterization due to low environmental concentrations and slow biotransformation rates, which result in high sample variability, few samples, and limited substrate concentration range. Four models of varying complexity (zero-order, first-order, Monod, and Best) were fit to simulated data. Various combinations of initial concentration (), half saturation concentration (), maximum substrate utilization rate (), measurement error, number of data points per batch run, and extent of biotransformation were simulated. One thousand Monte-Carlo runs were performed for each parameter combination, and AIC (Akaike's information criterion corrected for small numbers of data points) was used to determine the most appropriate model. Neither the Best model nor the zero-order model ever produced the lowest AIC for a majority of simulations under any combination of test conditions. With 10% measurement error, the first-order model always outperformed the others. In the case of 1% measurement error with 10 evenly-spaced data points, the Monod model was the better choice when > and the system was not mass transfer limited [Formula: see text] otherwise, the first-order model was indicated. is constrained by the compound's aqueous solubility; therefore, for highly hydrophobic compounds such as PCBs or polychlorinated dibenzo--dioxins and dibenzofurans, a first-order model is likely to fit batch biotransformation data as well or better than a more complicated model.
我们使用典型的数据点数量、反应程度和测量误差,对疏水性化合物的批量转化进行了蒙特卡罗模拟,以确定在不同条件下描述此类数据的最合适的生物转化模型。多氯联苯(PCBs)和二恶英等高度疏水性化合物,由于环境浓度低和生物转化速率慢,在参数化方面存在特殊挑战,这导致样本变异性高、样本数量少以及底物浓度范围有限。将四个不同复杂度的模型(零级、一级、莫诺德和最佳模型)拟合到模拟数据中。模拟了初始浓度()、半饱和浓度()、最大底物利用率()、测量误差、每次批量运行的数据点数量以及生物转化程度的各种组合。对每个参数组合进行了1000次蒙特卡罗运行,并使用AIC(针对少量数据点校正的赤池信息准则)来确定最合适的模型。在任何测试条件组合下,对于大多数模拟,最佳模型和零级模型都从未产生最低的AIC。当测量误差为10%时,一级模型总是优于其他模型。在测量误差为1%且有10个等间距数据点的情况下,当>且系统不受传质限制时,莫诺德模型是更好的选择[公式:见正文],否则,应选择一级模型。受化合物水溶性的限制;因此,对于多氯联苯或多氯二苯并 - 二恶英和二苯并呋喃等高度疏水性化合物,一级模型可能与更复杂的模型一样好或更好地拟合批量生物转化数据。