NDLI: Novel differential elimination method for determining kinetic coefficients under substrate self-inhibition

Content Provider	Springer Nature Link
Author	Park, Seongjun Rittmann, Bruce E. Bae, Wookeun
Copyright Year	2009
Abstract	A differential elimination method (DEM) is developed to determine the kinetic coefficients for substrate self-inhibition. Finite differentiation of the equation eliminates either KI or KS, which enables the equation to be linearized so that $$ {\hat{\text{q}}} $$ , KS, and KI can be estimated without using nonlinear least square regression (NLSR). The DEM options that eliminate KI or KS computed the parameter values exactly when the data did not contain any errors. If one-point or random errors were not too large, both DEM options worked as well as NLSR when data were acquired with geometric intervals for substrate concentration. The DEM was more accurate for fitting the data for the smallest and largest values of S, but relatively weaker in estimating the observed maximum substrate utilization rate, qmax. The estimates for Smax, the concentration at which the maximum specific substrate utilization rate is observed, were relatively invariant among the methods, even when KS and KI differed. When the intervals were arithmetic (i.e., equal intervals of substrate concentration) and the data contained errors, the DEM and NLSR estimated the parameters poorly, indicating that collecting data with an arithmetic interval greatly increases the risk of poor parameter estimation. Parameter estimates by DEM fit very well experimental data from nitrification or photosynthesis, which were taken with geometric intervals of substrate concentration or light intensity, but fit poorly phenol-degradation data, which were obtained with arithmetic substrate intervals. Besides providing a reasonable substitute for NLSR, the DEM also can be used as a tool to diagnose the quality of experimental data by comparing its estimates between the DEM options, or, more rigorously, to those from NLSR.
Starting Page	203
Ending Page	216
Page Count	14
File Format	PDF
ISSN	09239820
Journal	Biodegradation
Volume Number	21
Issue Number	2
e-ISSN	15729729
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-09-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Differential elimination method Graphical plot method Kinetic coefficients Linear plot method Substrate inhibition Nonlinear least square regression Waste Management/Waste Technology Waste Water Technology / Water Pollution Control / Water Management / Aquatic Pollution Terrestrial Pollution Geochemistry Soil Science & Conservation Microbiology
Content Type	Text
Resource Type	Article
Subject	Environmental Chemistry Pollution Environmental Engineering Bioengineering Microbiology

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