Structural identifiability of the yield coefficients in bioprocess models when the reaction rates are unknown

Chen, L.; Bastin, Georges

doi:10.1016/0025-5564(95)00048-8

Cited by 50 publications

(26 citation statements)

References 9 publications

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“…Note that Bastin and Dochain [1] present this structural property of model (4) in the more general case where rank K=p £ M. In the case p<M, some reactions are linearly dependent and, as shown by Chen and Bastin [6], the system of M reactions can be reduced to a system of p linearly independent reactions. Decoupling the stoichiometry and kinetics can be more delicate when the dilution rate is no longer a scalar quantity, but a matrix.…”

Section: Identification Of the Pseudo-stoichiometric Coefficients Indmentioning

confidence: 99%

“…C-identifiability is a property of the reaction scheme introduced by Bastin and Chen [6], which guarantees that a unique estimation of the yield coefficients can be obtained independently of the structure of the kinetic model. This latter feature results from a transformation of the original mass balance equations, which eliminates the reaction kinetics from the model equations [1].…”

Section: Introductionmentioning

confidence: 99%

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On a systematic procedure for the predetermination of macroscopic reaction schemes

Hulhoven

Wouwer

Bogaerts

2005

Bioprocess Biosyst Eng

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Macroscopic modeling of biological cell cultures involves two major steps: (a) the selection of a reaction scheme and (b) the determination of the reaction kinetics. The first step is usually accomplished based on prior knowledge, experimental investigation and trials and errors. This procedure can be time consuming, and more importantly, can lead to the selection of a reaction scheme omitting some important reaction pathways, or at the opposite, incorporating too many details (at least considering the data at hand and the modeling objectives). This paper addresses this modeling problem, and aims at the development of a method for systematically evaluating (i.e. setting up and comparing) all potential reaction schemes, based on a set of measured components, and satisfying structural identifiability properties. One of the main features of the method is that the yield (or pseudo-stoichiometric) coefficients can be estimated independently of the kinetics. The method is illustrated with simulation results and an experimental case study.

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Section: Identification Of the Pseudo-stoichiometric Coefficients Indmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On a systematic procedure for the predetermination of macroscopic reaction schemes

Hulhoven

Wouwer

Bogaerts

2005

Bioprocess Biosyst Eng

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“…The property of Cidentifiability denotes those schemes whose pseudostoichiometric matrix can be computed as the unique solution of Equation (11) when an estimate of C is known (Chen and Bastin, 1996).…”

Section: Identification Of C-identifiable Schemesmentioning

confidence: 99%

A Fast and Systematic Procedure to Develop Dynamic Models of Bioprocesses - Application to Microalgae Cultures

Mailier

Wouwer

2009

Computer Aided Chemical Engineering

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-The purpose of this paper is to report on the development of a procedure for inferring black-box, yet biologically interpretable, dynamic models of bioprocesses based on sets of measurements of a few external components (biomass, substrates, and products of interest). The procedure has three main steps: (a) the determination of the number of macroscopic biological reactions linking the measured components; (b) the estimation of a first reaction scheme, which has interesting mathematical properties, but might lack a biological interpretation; and (c) the "projection" (or transformation) of this reaction scheme onto a biologically-consistent scheme. The advantage of the method is that it allows the fast prototyping of models for the culture of microorganisms that are not well documented. The good performance of the third step of the method is demonstrated by application to an example of microalgal culture.

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“…The usual approach dedicated to the determination of reaction networks relies on the linearisation of the dynamics around a reference solution (Eiswirth et al, 1991;Chevalier et al, 1993) and identification of the local Jacobian matrix. Here, in the spirit of (Chen and Bastin, 1996;Bernard and Bastin, 2005), we exploit the structure of the bioprocess (equation (1)) and our arguments do not rely on any linearisation. Generally, the choice of a reaction network and its associated PS matrix K results from modelling assumptions.…”

Section: Introductionmentioning

confidence: 99%

Can we assess the model complexity for a bioprocess: theory and example of the anaerobic digestion process

Bernard

Chachuat

Hélias

et al. 2006

Water Science and Technology

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In this paper we propose a methodology to determine the structure of the pseudo-stoichiometric coefficient matrix K in a mass balance based model, i.e. the maximal number of biomasses that must be taken into account to reproduce an available data set. It consists in estimating the number of reactions that must be taken into account to represent the main mass transfer within the bioreactor. This provides the dimension of K. The method is applied to data from an anaerobic digestion process and shows that even a model including a single biomass is sufficient. Then we apply the same method to the "synthetic data" issued from the complex ADM1 model, showing that the main model features can be obtained with 2 biomasses.

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Structural identifiability of the yield coefficients in bioprocess models when the reaction rates are unknown

Cited by 50 publications

References 9 publications

On a systematic procedure for the predetermination of macroscopic reaction schemes

On a systematic procedure for the predetermination of macroscopic reaction schemes

A Fast and Systematic Procedure to Develop Dynamic Models of Bioprocesses - Application to Microalgae Cultures

Can we assess the model complexity for a bioprocess: theory and example of the anaerobic digestion process

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