Cell Growth Models Using Reaction Schemes: Batch Cultivation

Svetoslav Marinov Markov

Abstract


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.

Keywords


cell growth modelling; reaction scheme

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DOI: http://dx.doi.org/10.11145/j.biomath.2013.12.301

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? ISSN:? 1314-684X (print),? 1314-7218 (online)