The fermentation medium contains many complex components (vitamins, minerals, etc.) for better growth of the microorganisms. The increasing purity and number of these components used in the medium seriously affect the cost of the microbial process. This study aimed to further optimize the concentration of the components used in the medium (yeast extract and peptone) for inulinase fabrication by Aspergillus niger from sugar-beet molasses in shake flask fermentation by using Central Composite Design (CCD) and to kinetically identify the fermentation. The results indicated that the optimal medium composition consisted of only 4.2% (w/v) yeast extract. By using the fermentation environment, the inulinase generation, inulinase/sucrase ratio, maximum inulinase generation rate, maximum sugar depletion rate, and substrate utilization yield were determined as 1294.5 U/mL, 1.2, 159.6 U/mL/day, 7.4 g/L/day, and 98.1%, respectively. The kinetic analysis of the fungal development (logistic model) indicated that a specific development rate and initial biomass concentration were 0.89/day and 1.79 g/L, respectively. Inulinase and sucrase productions are mixed-development associated since the α value ≠ 0 (8.46 and 4.31 U/mgX) and the β value ≠ 0 (5.15 and 4.83 U/mgX day), respectively (Luedeking–Piret model). Besides, the maintenance value (Z) (0.009 gS/gX day) was lower than γ value (1.044 gS/gX), showing that A. niger commonly uses the substrates for enzyme fabrication and fungal development (modified Luedeking–Piret model). The enzyme activity was increased by optimizing the concentration of the components used. It was demonstrated that the proposed kinetic models can victoriously define fungal development, enzyme fabrication, and sugar depletion.

中文翻译：

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从甜菜糖蜜中提高黑曲霉菊粉酶的产量及其动力学模型

发酵培养基含有许多复杂的成分（维生素、矿物质等），以促进微生物的更好生长。培养基中使用的这些成分的纯度和数量的增加严重影响微生物过程的成本。本研究旨在通过使用中央复合设计 (CCD) 进一步优化黑曲霉在摇瓶发酵中从甜菜糖蜜中制备菊粉酶所用成分（酵母提取物和蛋白胨）的浓度，并对发酵过程进行动力学鉴定. 结果表明，最佳培养基组成仅由 4.2% (w/v) 酵母提取物组成。通过使用发酵环境，菊粉酶生成、菊粉酶/蔗糖酶比例、最大菊粉酶生成率、最大糖消耗率、和底物利用率分别确定为 1294.5 U/mL、1.2、159.6 U/mL/天、7.4 g/L/天和 98.1%。真菌发育的动力学分析（逻辑模型）表明，比发育速率和初始生物量浓度分别为 0.89/天和 1.79 g/L。菊粉酶和蔗糖酶的生产是混合发育相关的，因为 α 值 ≠ 0（8.46 和 4.31 U/mgX），β 值 ≠ 0（5.15 和 4.83 U/mgX 天）（Luedeking-Piret 模型）。此外，维持值（Z）（0.009 gS/gX 天）低于 γ 值（1.044 gS/gX），表明黑曲霉通常使用底物进行酶制造和真菌发育（改进的 Luedeking-Piret 模型）。通过优化所用组分的浓度来提高酶活性。