Modeling the dynamic kinetics of microbial disinfection with dissipating chemical agents—a theoretical investigation,Applied Microbiology and Biotechnology

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Modeling the dynamic kinetics of microbial disinfection with dissipating chemical agents—a theoretical investigation
Applied Microbiology and Biotechnology ( IF 3.9 ) Pub Date : 2021-01-04 , DOI: 10.1007/s00253-020-11042-8
Micha Peleg ₁

Affiliation

Abstract

The most notable microbial survival models of disinfection kinetics are the original and modified versions of the static Chick-Watson-Hom’s (CWH) initially developed for water chlorination. They can all be viewed as special cases of the Weibull survival model, where the observed static curve is the cumulative form (CDF) of the times at which the individual targeted microbes succumb to the treatment. The CWH model time’s exponent is the distribution’s shape factor, and its concentration-dependent rate parameter represents the distribution’s scale factor’s reciprocal. Theoretically, the concentration- dependence of the Weibull model’s rate parameter need not to be always in a form of a power-law relationship as the CWH model requires, and two possible alternatives are presented. Apart from being chemically reactive, most chemical disinfectants are also volatile, and their effective concentration rarely remains constant. However, the published dynamic versions of the original CWH model are mathematically incongruent with their static versions. The issue is nonexistent in the dynamic version of the Weibull or other distribution-based models, provided that the momentary inactivation rate is expressed as the static rate at the momentary concentration, at the time that corresponds to the momentary survival ratio. The resulting model is an ordinary differential equation (ODE) whose numerical solution can describe survival curves under realistic regular and irregular disinfectant dissipation patterns, as well as during the disinfectant dispersion and/or its replenishment.

Key Points

• The Chick-Watson-Home models are treated as special cases of the Weibull distribution.

• Dynamic microbial survival curve described as ordinary differential equation solution.

• Survival rate models of disinfectant dissipation and replenishment patterns presented.

Graphical abstract

中文翻译：

用消散化学试剂模拟微生物消毒的动态动力学——一项理论研究

抽象的

最著名的消毒动力学微生物生存模型是最初为水氯化而开发的静态 Chick-Watson-Hom (CWH) 的原始版本和修改版本。它们都可以被视为威布尔生存模型的特例，其中观察到的静态曲线是个体目标微生物屈服于治疗的时间的累积形式（CDF）。 CWH模型时间的指数是分布的形状因子，其浓度相关速率参数表示分布的尺度因子的倒数。理论上，Weibull 模型的速率参数的浓度依赖性不必总是像 CWH 模型所要求的那样呈幂律关系的形式，并且提出了两种可能的替代方案。除了具有化学反应性外，大多数化学消毒剂还具有挥发性，其有效浓度很少保持恒定。然而，已发布的原始 CWH 模型的动态版本在数学上与其静态版本不一致。如果将瞬时失活率表示为瞬时浓度下的静态速率（在对应于瞬时存活率的时间），则该问题在威布尔或其他基于分布的模型的动态版本中不存在。所得模型是一个常微分方程（ODE），其数值解可以描述现实的规则和不规则消毒剂消散模式下以及消毒剂消散和/或其补充过程中的生存曲线。