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On the estimation of the pseudo-stoichiometric matrix for macroscopic mass balance modelling of biotechnological processes

Olivier Bernard 1 Georges Bastin 2
1 COMORE - Modeling and control of renewable resources
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper we propose a methodology to determine the structure of the pseudo-stoichiometric coefficient matrix $ \kappa$ in a macroscopic mass balance based model. The first step consists in estimating the minimal number of reactions that must be taken into account to represent the main mass transfer within the bioreactor. This provides the dimension of $ \kappa$. Then we discuss the identifiability of the components of $ \kappa$ and we propose a method to estimate their values. Finally we present a method to select among a set of possible macroscopic reaction networks those which are in agreement with the available measurements. These methods are illustrated with 3 examples: real data of the growth and biotransformation of the filamentous fungi {\it Pycnoporus cinnabarinus}, real data of an anaerobic digester involving a bacterial consortium degrading a mixture of organic substrates and a process of lipase production from olive oil by {\it Candida rugosa}.
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https://hal.inria.fr/inria-00122545
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Olivier Bernard, Georges Bastin. On the estimation of the pseudo-stoichiometric matrix for macroscopic mass balance modelling of biotechnological processes. Mathematical Biosciences, Elsevier, 2005, 193, pp.51-77. ⟨inria-00122545⟩

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