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

J. Harmand and J.J. Godon

Ecological Modelling, 2007, vol. 200, issue 3, 393-402

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.

Keywords: Modelling; Reactors in series; Fixed-bed bioreactors; Spatial heterogeneity; Diffusion; Chemostats; Ratio-dependence; Mass-balance modeling (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:200:y:2007:i:3:p:393-402

DOI: 10.1016/j.ecolmodel.2006.08.012

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