Determination of first order rate constants by natural logarithm of the slope plot exemplified by analysis of Aspergillus niger in batch culture |
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| Authors: | Poulsen Bjarne Rask Ruiter George Visser Jaap Iversen Jens Jørgen Lønsmann |
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| Institution: | (1) Molecular Genetics of Industrial Microorganisms, Wageningen University, Dreijenlaan 2, 6703 HA Wageningen, The Netherlands;(2) Present address: Metabolic Diseases Laboratory, Leiden University Medical Center, P.O. Box 9600, 2300 RC Leiden, The Netherlands;(3) Present address: Fungal Genetics and Technology Consultancy, P.O. Box 396, 6700 AJ Wageningen, The Netherlands;(4) Department of Biochemistry and Molecular Biology, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark |
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| Abstract: | Finding rate constants from experimental data is often difficult because of offset and noise. A computer program was developed to average experimental data points, reducing the effect of noise, and to produce a loge of slope plot – a plot of the natural logarithm of the slope of a curve – eliminating the effect of any offset. If y-values depend exponentially on x-values the loge of slope plot is rectilinear and the slope is equal to the first order rate constant. Therefore the loge of slope plot provides easy identification of exponential sections of any experimental or calculated data, corresponding rate constants, and small changes in the rate constant as exemplified by analysis of titrant added to a batch culture of Aspergillus niger. The loge of slope plot was easily applicable and superior to conventional methods of analysis of exponential decreasing or increasing data. |
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| Keywords: | biotransformation exponential analysis filamentous fungi induction of acid production specific growth rate |
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