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Bioreaction Engineering Principles pp 235–314Cite as

Modeling of Growth Kinetics

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Abstract

In chapters 3 and 5 we have discussed how the two important design parameters yield and productivity can be derived from experimental data, e.g. from measurements of the substrate consumption and the product formation. Furthermore, we have shown how measured steady state rates (or fluxes) in and out of the cell can be used to calculate the fluxes through the different branches of the metabolic network functioning in a given cell. However, we have not yet established a quantitative relation between the fluxes and the variables (concentrations etc.) that characterize the environment of the cell, and we have also not considered how the fluxes change with changes in the operating conditions, e.g. the response to a change in medium composition or temperature. In order to do this it is necessary to define kinetic expressions for the key reactions and processes considered in the model — or in other terms to set up a mathematical model that can simulate the studied process (see Note 7.1). Setting up kinetic expressions is normally referred to as kinetic modeling, and this involves defining verbally or mathematically expressed correlations between rates and reactant/product concentrations that, inserted in mass balances, permits a prediction of the degree of conversion of substrates and the yield of individual products at other operating conditions. Conceptually this is a great step forward compared to the methodology applied in chapters 3 and 5. Thus, if the rate expressions are correctly set up, it is possible to express the course of a fermentation experiment based on initial values (or input) for the components of the state vector, e.g., concentration of substrates. This leads to simulations that finally may result in an optimal design of the equipment or an optimal mode of operation for a given system.

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Authors and Affiliations

  1. Technical University of Denmark, Lyngby, Denmark

    Jens Nielsen & John Villadsen

  2. Lund University, Lund, Sweden

    Gunnar Lidén

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Nielsen, J., Villadsen, J., Lidén, G. (2003). Modeling of Growth Kinetics. In: Bioreaction Engineering Principles. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0767-3_7

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