Mathematical Correlation of Yield Coefficients Based on Individual Reaction of Cell and Product Formation and Total Metabolic Reaction in Biological Reaction Kinetic Modeling.

Abstract

Kinetic models are important tools required in designing biological reactors and can be developed through mass balance equations arrangement based on kinetic data of microorganism metabolic reactions. Yield coefficients are an important parameter in the arrangement of mass balance equations as they can quantitatively link substrate consumption to cell and product formation. We know two forms of yield coefficients of cell and product formation that have different uses. The first coefficients are derived from the stoichiometric equation of overall metabolic reaction and the second are derived from the parallel reactions of cell formation, product formation, and maintenance. Since these types of yield coefficients are usually written in the similar pattern, these coefficients are frequently misused. A previous researcher has defined and differentiated the use of these two types of yield coefficients to avoid inappropriate uses that can cause an error in the calculation results. To complete and clarify the definition, this communication discusses the mathematical correlation between these two types of yield coefficients using the latest thermodynamic approach for stoichiometric coefficients estimation of metabolic reaction.