In biochemical processes, the stoichiometry can be the result of macroscopic balances (where the microorganism is specified by the elementary composition and only the chemical reactions of the conversion process are considered) or the balances of the metabolic pathway, where biochemical knowledge available for metabolic reactions, in addition to the chemical characteristics of the system, are considered. It is possible to identify several linear relationships among the conversion rates in these processes. While several rates are measured, others can be calculated. If a calculated conversion rate is also measured, measurement errors or errors of the described model can be detected or even diagnosed by comparing these values, and accurate estimates can be obtained by combining them.

In 1990, the Biotechnology and the Control Systems Groups of IPT started developing a system for the control and automation of fermentation processes, applied to the oxidation of sorbitol to sorbose by the bacteria Gluconobacter oxydans, the microbial step of the vitamin C production process, that was chosen as a case study. Initially, a thirteen-parameter model was fitted to represent the batch operation of the system utilizing a nonlinear regression analysis, the flexible polyhedron method. Based on these results, a model for the continuous process (with the same kinetic equations) was constructed and its optimum operating point obtained