Suflita J M, Smolenski W J, Robinson J A
Appl Environ Microbiol. 1987 May;53(5):1064-8. doi: 10.1128/aem.53.5.1064-1068.1987.
A modification of the second-order model for biodegradation was derived, applied to an example data set, and shown to be superior for describing the anaerobic biodegradation of p-cresol by an enriched bacterial consortium. The modified model circumvents the no-growth assumption implicit in the use of the second-order rate equation, but still requires the assumption of first-order kinetics over the course of substrate depletion. Violation of the no-growth assumption is particularly important since overestimates of the pseudo-first-order rate coefficient lead to underestimates of the time required for the removal of a xenobiotic chemical from a contaminated environment. Our calculations show that the errors introduced into the pseudo-first-order rate coefficient (and the resulting estimates of the second-order rate coefficient) approach 100% if one doubling occurs in activity over the course of substrate depletion. For an exemplary data set, use of a first-order model resulted in a 100% overestimate of the first-order decay coefficient, which would in turn lead to a corresponding overestimate of the second-order rate coefficient. The modified model we describe is a potential alternative to the pseudo-first-order model for the routine estimation of second-order rate coefficients.
推导了生物降解二阶模型的一种修正形式，将其应用于一个示例数据集，并表明该模型在描述富集细菌群落对对甲酚的厌氧生物降解方面更具优势。修正后的模型规避了二阶速率方程使用中隐含的无生长假设，但仍需要假设在底物消耗过程中为一级动力学。违反无生长假设尤为重要，因为伪一级速率系数的高估会导致从受污染环境中去除外来化学物质所需时间的低估。我们的计算表明，如果在底物消耗过程中活性发生一次翻倍，那么引入到伪一级速率系数（以及由此产生的二级速率系数估计值）中的误差接近100%。对于一个示例数据集，使用一级模型导致一级衰减系数被高估100%，这反过来又会导致二级速率系数相应地被高估。我们所描述的修正模型是用于常规估算二级速率系数的伪一级模型的一种潜在替代方法。
