Mathematical Differentiation to Reveal the Fermentative Characteristics of Lactobacillus helveticus ATCC 15009

摘要

Fermentative characteristics of Lactobacillus helveticus ATCC15009 were investigated by varying size of initial inocula, the pH values of fermentation, respectively by a pH-controlled and a pH-uncontrolled processes at 38?C. The first and the second differentiation of lactic acid production (P vs. t) and growth (X vs. t) data were taken. Their maximum peaks and reflection points were solved, whence the relationship of the model was derived. Alternatively, Henderson-Hasselbalch equation was utilized to criticize the dependencies of the feed back inhibition on the total lactate cncentration and pH. Results revealed that in lactose medium lactic acid production rate (dP/dt) of L. helveticus B1075 obeys the growth ( dX/dt) associated model, dP/dt = dX/dt. Furthermore, the non-competitive end product inhibition is entirely dependent on the total lactate concentration.