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Identifiability and retrievability of unique parameters describing intrinsic Andrews kinetics

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Abstract

A key factor contributing to the variability in the microbial kinetic parameters reported from batch assays is parameter identifiability, i.e., the ability of the mathematical routine used for parameter estimation to provide unique estimates of the individual parameter values. This work encompassed a three-part evaluation of the parameter identifiability of intrinsic kinetic parameters describing the Andrews growth model that are obtained from batch assays. First, a parameter identifiability analysis was conducted by visually inspecting the sensitivity equations for the Andrews growth model. Second, the practical retrievability of the parameters in the presence of experimental error was evaluated for the parameter estimation routine used. Third, the results of these analyses were tested using an example data set from the literature for a self-inhibitory substrate. The general trends from these analyses were consistent and indicated that it is very difficult, if not impossible, to simultaneously obtain a unique set of estimates of intrinsic kinetic parameters for the Andrews growth model using data from a single batch experiment.

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Fig. 1a–f.
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Fig. 3a, b.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Maryland, College Park, MD 20742, USA

    E. A. Seagren

  2. Department of Environmental Engineering, The University of Seoul, Seoul 130-743, Korea

    H. Kim

  3. Department of Civil and Environmental Engineering, University of Connecticut, Storrs, CT 06269-2037, USA

    B. F. Smets

Authors
  1. E. A. Seagren
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  2. H. Kim
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  3. B. F. Smets
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Correspondence to E. A. Seagren.

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Seagren, E.A., Kim, H. & Smets, B.F. Identifiability and retrievability of unique parameters describing intrinsic Andrews kinetics. Appl Microbiol Biotechnol 61, 314–322 (2003). https://doi.org/10.1007/s00253-002-1220-4

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  • DOI: https://doi.org/10.1007/s00253-002-1220-4

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