TAILIEUCHUNG - Unstructured modelling growth of Lactobacillus acidophilus as a function of the temperature

Unstructured modelling growth of Lactobacillus acidophilus as a function of the temperature: We present modelling software developed under MATLAB in which parameter estimations are obtained by using non-linear regression techniques. The different parameters appear in a set of non-linear algebraic and differential equations representing the model of the process. From experimental data obtained in discontinuous cultures a representative mathematical model (unstructured kinetic model) of the macroscopic behaviour of Lactobacillus acidophilus has been developed. | Available online at Mathematics Sx AND s COMPUTERS IN SIMULATION ELSEVIER Mathematics and Computers in Simulation 65 2004 137-145 locate matcom Unstructured modelling growth of Lactobacillus acidophilus as a function of the temperature L. Bâatia G. Rouxb B. Dahhoub . Uribelarreaa a Centre de bioingénierie Gilbert Durand UMR-CNRS 5504 UR-INRA 792 Institut National des Sciences Appliquées Avenue de Rangueil 31077 Toulouse Cedex 4 France b Laboratoire d Analyse et d Architecture des Systèmes - CNRS 7 avenue du Colonel Roche 31077 Toulouse Cedex 4 France Abstract We present modelling software developed under MATLAB in which parameter estimations are obtained by using non-linear regression techniques. The different parameters appear in a set of non-linear algebraic and differential equations representing the model of the process. From experimental data obtained in discontinuous cultures a representative mathematical model unstructured kinetic model of the macroscopic behaviour of Lactobacillus acidophilus has been developed. An unstructured model expressed the specific rates of cell growth lactic acid production and glucose consumption for batch fermentation. The model is formulated by considering the inhibition of growth under sub-optimal culture conditions during Lactobacillus acidophilus fermentation which is accompanied by an increase of the maintenance energy. This study permits to predict the cellular behaviour at low growth temperatures and enables to define the response of the strain to sub-optimal temperature stress. 2003 IMACS. Published by Elsevier . All rights reserved. Keywords Lactic acid fermentation Mathematical modelling Unstructured kinetic model Software tool 1. Introduction Nowadays computers are simply essential tools for several sorts of research. In applied sciences mathematical relationships are used to represent basic mechanisms or global processes. They aim at the understanding of the mechanisms and

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