TY - JOUR T1 - Mathematical Differentiation to Reveal the Fermentative Characteristics of Lactobacillus helveticus ATCC 15009 AU - , Chiung-Chi Peng AU - , Ming-Hua Yang AU - , Chao-Ming Chuang AU - , Chiu-Lan Hsieh AU - , Hui-Er Wang AU - , Chun-Hung Chiu AU - , Charng-Cherng Chyau AU - , Kuan-Chou Chen AU - , Robert Y. Peng JO - Research Journal of Biological Sciences VL - 3 IS - 7 SP - 697 EP - 703 PY - 2008 DA - 2001/08/19 SN - 1815-8846 DO - rjbsci.2008.697.703 UR - https://makhillpublications.co/view-article.php?doi=rjbsci.2008.697.703 KW - Lactobacillus helveticus ATCC15009 KW -lactic fermentation model KW -noncompetitive feed back inhibition AB - 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. ER -