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Monod's bacterial growth model revisited.

J R Lobry1, J P Flandrois, G Carret

  • 1CNRS URA 243, Laboratoire de Biométrie, Université Claude Bernard, 43 Boulevard du 11 Novembre, 69622, Villeurbanne, France, Dynbact@frcism51-(EARN).

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Summary

This study mechanistically justifies the Monod bacterial growth model, revealing an unexpected increase in the K(s) parameter with maximum growth rate (μm). Literature data confirms this predicted effect in most published studies.

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Area of Science:

  • Microbiology
  • Biochemical Engineering
  • Mathematical Biology

Background:

  • The Monod model is a cornerstone of microbial growth kinetics.
  • A mechanistic understanding of the Monod model's parameters is crucial for accurate predictions.
  • Previous studies have not fully explained the behavior of the K(s) parameter.

Purpose of the Study:

  • To provide a mechanistic justification for the Monod bacterial growth model.
  • To investigate the relationship between the K(s) parameter and the maximum specific growth rate (μm).
  • To validate theoretical predictions against existing experimental data.

Main Methods:

  • Development of a mechanistic growth model incorporating a time delay.
  • Derivation of a differential equation leading to the Monod model.
  • Analysis of literature data to assess the predicted parameter behavior.

Main Results:

  • A mechanistic derivation of the Monod model was achieved.
  • The theory predicts an unexpected increase of the K(s) parameter with μm.
  • A literature survey confirmed this effect in the majority of published datasets.

Conclusions:

  • The mechanistic approach provides a theoretical basis for the Monod model.
  • The observed increase of K(s) with μm is a theoretically predicted phenomenon.
  • This finding has implications for the accurate application of the Monod model in microbial process modeling.