Cell Growth Models Using Reaction Schemes: Batch Cultivation
Keywords:cell growth modelling, reaction scheme
AbstractSimple structured mathematical models of bacterial cell growth are proposed. The modelsВ involve fractions of bacterial cells relatedВ toВ their physiological phases. Reaction schemes involving the biomass of theВ cell fractions, the substrate and the product are proposed in analogy to reaction schemes in enzyme kinetics. Applying the mass action law these reaction schemesВ lead toВ dynamical models represented byВ systems of ODE's. All parameters of the modelsВ are rate constants with clear biological or biochemical meaning.В The proposed models generalizeВ 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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