Cell Growth Models Using Reaction Schemes: Batch Cultivation
Simple structured mathematical models of bacterial cell growth are proposed. The models involve fractions of bacterial cells related to their physiological phases. Reaction schemes involving the biomass of the cell fractions, the substrate and the product are proposed in analogy to reaction sche...
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| Format: | Article |
| Language: | English |
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Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2014-01-01
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| Series: | Biomath |
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| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/223 |
| Summary: | Simple structured mathematical models of bacterial cell growth are proposed. The models involve fractions of bacterial cells related to their physiological phases. Reaction schemes involving the biomass of the cell fractions, the substrate and the product are proposed in analogy to reaction schemes in enzyme kinetics. Applying the mass action law these reaction schemes lead to dynamical models represented by systems of ODE's. All parameters of the models are rate constants with clear biological or biochemical meaning. The proposed models generalize classical bacterial growth models and offer more flexible tools for modelling and control of biotechnological processes. In this paper the study is focused on batch cultivation models. |
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| ISSN: | 1314-684X 1314-7218 |