Xanthan production was studied in a stirred-tank fementor and modeled
using unstructured kinetic models, First, the influences of the operat
ional conditions have been studied. Temperature (between 22 and 34 deg
rees C), aeration (changing stirrer speed between 150 and 1,000 rpm, m
aintained at constant or varied through fermentation time), and the pH
control (with two alkalis) were analyzed. Then, unstructured kinetic
models proposed in the literature for this system were reviewed and ap
plied. These models have been checked to describe the experimental res
ults, calculating the parameters by nonlinear regression. The results
show that these models do not take into account all the necessary nutr
ients, which are carbon source, nitrogen source, and dissolved oxygen,
Afterward, an unstructured kinetic model describing biomass, carbon s
ource, nitrogen source, and dissolved oxygen evolutions was proposed a
nd applied. Parameters estimation were carried our by means of both di
fferential and integral methods. Parameters values were finally obtain
ed applying an integral method using nonlinear regression techniques.
The model proposed in this work is composed of five differential equat
ions with production rates of the five components taken into account:
biomass, carbon, and nitrogen sources, xanthan, and dissolved oxygen,
capable of fitting all the three experiments considered, at different
temperatures and controlling and not controlling pH.