Power series kinetic model based on generalized stoichiometric equations for microbial production of sodium gluconate

• Power series kinetic model is developed for microbial production of sodium gluconate.
• The kinetic model is based on a generalized stoichiometric equations and a typical enzyme kinetic structure.
• The kinetic model can describe the fermentation process with sufficient accuracy.
• The kinetical model is simple.

Two main approaches are available for modeling of the fermentation process; these two are building an unstructured dynamic model and quantitative analysis of the metabolic network. The first one often employs several classic equations mostly derived from empirical knowledge and observation rather than mechanism knowledge. The second one is complicated because it requires sufficient biological information on cellular metabolic pathways. The objective of this article is to develop a kinetic model of the microbial production of sodium gluconate by using generalized stoichiometric equations and a typical enzyme kinetic structure called power series to overcome the shortcomings of previous methods.The proposed kinetic model can describe the microbial growth of fungus as well as the interaction among dissolved oxygen, fungal metabolism, and product formation. Six batches were selected from seven batches of experimental sample data for modeling and analysis. The fitting precision was acceptable. The key parameters were analyzed based on the model. The main advantage of this model is that it has a simple structure based on the mechanism and can describe the fermentation process with sufficient accuracy.