Cell Growth Models Using Reaction Schemes: Batch Cultivation

Svetoslav Marinov Markov


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.


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 1314-7218 (online)
ISSN 1314-684X (print)

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