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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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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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Author notes

  1. George Ruiter

    Present address: Metabolic Diseases Laboratory, Leiden University Medical Center, P.O. Box 9600, 2300 RC, Leiden, The Netherlands

  2. Jaap Visser

    Present address: Fungal Genetics and Technology Consultancy, P.O. Box 396, 6700 AJ, Wageningen, The Netherlands

Authors and Affiliations

  1. Molecular Genetics of Industrial Microorganisms, Wageningen University, Dreijenlaan 2, 6703 HA, Wageningen, The Netherlands

    Bjarne Rask Poulsen

  2. Department of Biochemistry and Molecular Biology, University of Southern Denmark, Campusvej 55, DK-5230, Odense M, Denmark

    Jens Jørgen Lønsmann Iversen

Authors
  1. Bjarne Rask Poulsen
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  2. George Ruiter
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  3. Jaap Visser
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  4. Jens Jørgen Lønsmann Iversen
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Correspondence to Jens Jørgen Lønsmann Iversen.

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Poulsen, B.R., Ruiter, G., Visser, J. et al. Determination of first order rate constants by natural logarithm of the slope plot exemplified by analysis of Aspergillus niger in batch culture. Biotechnology Letters 25, 565–571 (2003). https://doi.org/10.1023/A:1022836815439

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  • DOI: https://doi.org/10.1023/A:1022836815439

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