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Mathematical modeling of substrate and cometabolite diffusion and reaction for the degradation of TCE in a membrane-attached methanotrophic biofilm.

机译:膜和甲烷代谢生物膜中TCE降解的底物和代谢物扩散和反应的数学模型。

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Trichloroethene (TCE) oxidation by methanotrophs is a cometabolic process constrained by competitive inhibition between TCE and methane. In this study, a mathematical model was developed for the degradation of TCE in a methanotrophic biofilm grown on a gas-permeable membrane with counter-current diffusion of methane and TCE into the biofilm. The model accounted for Monod kinetics, competitive inhibition, and decrease in active biomass concentration inside the biofilm with increasing distance from the membrane surface. An explicit finite differences method was used to solve the system of non-linear differential equations. The results from the counter-current model were compared with the results for a conventional co-current configuration. The TCE flux was predicted to be 2.9 x 10-5 mg/cm2-sec in the counter-current configuration, as compared to 4.9 x 10-5 mg/cm2-sec in the co-current configuration, a 70% increase. The model developed is general and can also be used for other chlorinated aliphatic hydrocarbons.
机译:甲基营养生物氧化三氯乙烯(TCE)是一种新陈代谢过程,受到三氯乙烯和甲烷之间竞争性抑制的约束。在这项研究中,开发了一种数学模型,用于降解在透气膜上生长的甲烷营养生物膜中TCE的降解,同时甲烷和TCE逆流扩散到生物膜中。该模型说明了Monod动力学,竞争性抑制以及随着与膜表面距离的增加,生物膜内部活性生物量浓度降低的情况。使用显式有限差分法求解非线性微分方程组。将逆流模型的结果与常规并流配置的结果进行了比较。预计逆流配置中的TCE通量为2.9 x 10-5 mg / cm2-sec,而顺流配置中为4.9 x 10-5 mg / cm2-sec,增加了70%。开发的模型是通用模型,也可以用于其他氯化脂肪烃。

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