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Density-dependent kinetics models for a simple description of complex phenomena in macroscopic mass-balance modeling of bioreactors

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  • Harmand, J.
  • Godon, J.J.

Abstract

From experiments originally proposed by Ardity et al. [Arditi, R., Perrin, N., Saïah, H., 1991. Functional responses and heterogeneities: an experimental test with cladocerans. Oikos 60, 69–75] in the field of fundamental ecology, this paper derives conditions under which mass balance ratio-dependent kinetics models are more appropriate (in a sense to be specified in the sequel) than substrate-dependent kinetics models to macroscopically describe bioprocesses with attached biomass. From literature results, it is also suggested that the use of Contois growth functions should be preferred to substrate-dependent kinetics when macroscopically modeling an immobilized-biomass bioreactor. The “robustness” of this result, rather based on a qualitative reasoning, is investigated in simulation and a number of fundamental properties of ratio-dependent models are highlighted. Furthermore, it is shown that ratio-dependent models are well suited to describe macroscopically bioreactors where the diffusion phenomenon is obviously one of the most important limiting factor.

Suggested Citation

  • Harmand, J. & Godon, J.J., 2007. "Density-dependent kinetics models for a simple description of complex phenomena in macroscopic mass-balance modeling of bioreactors," Ecological Modelling, Elsevier, vol. 200(3), pages 393-402.
    • Handle: RePEc:eee:ecomod:v:200:y:2007:i:3:p:393-402
    DOI: 10.1016/j.ecolmodel.2006.08.012
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    Cited by:

    1. Wade, M.J. & Harmand, J. & Benyahia, B. & Bouchez, T. & Chaillou, S. & Cloez, B. & Godon, J.-J. & Moussa Boudjemaa, B. & Rapaport, A. & Sari, T. & Arditi, R. & Lobry, C., 2016. "Perspectives in mathematical modelling for microbial ecology," Ecological Modelling, Elsevier, vol. 321(C), pages 64-74.
    2. Jian, Fuji & Jayas, Digvir S. & White, Noel D.G. & Smith, E.A., 2008. "Numerical analysis and parameter estimation technique for insect population redistribution models," Ecological Modelling, Elsevier, vol. 211(1), pages 47-56.
    3. Cabrera F, María I., 2011. "Deterministic approach to the study of the interaction predator–prey in a chemostat with predator mutual interference. Implications for the paradox of enrichment," Ecological Modelling, Elsevier, vol. 222(3), pages 598-605.

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