An explicit expression for determining cometabolism kinetics using progress curve analysis

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• 作者：Chetan T. Goudar ; ^{chetan.goudar@bayer.com}
• 关键词：Cometabolism ; Explicit solution ; Kinetic parameter estimation ; Lambert W function ; Progress curve analysis
• 刊名：Journal of Biotechnology
• 出版年：2012
• 期刊代码：53_01681656
• 类别：imm
• 出版时间：31 May, 2012
• 卷：159
• 期：1-2
• 页码：56-60
• 文件大小：309 K

摘要

We present an explicit expression for describing the kinetics of cometabolic biotransformation of environmental pollutants. This expression is based on the Lambert W function and explicitly relates the substrate concentration, S, to time, t, the two experimentally measured variables. This explicit relationship simplifies kinetic parameter estimation as differential equation solution and iterative estimation of the substrate concentration are eliminated. The applicability of this new expression for nonlinear kinetic parameter estimation was first demonstrated using noise containing synthetic data where final estimates of the kinetic parameters were very close to their actual values. Subsequently 1.1.1-trichloroethane degradation data at initial concentrations of 750 and 375 渭M were described using the explicit expression resulting in r and K_s estimates of 0.26 渭M/mg d and 28.08 渭M and 0.30 渭M/mg d and 28.70 渭M, respectively, very similar to 0.276 渭M/mg d and 31.2 渭M, respectively, that were reported in the original study. The new explicit expression presented in this study simplifies estimation of cometabolic kinetic parameters and can be easily used across all computational platforms thereby providing an attractive alternative for progress curve analysis.