Abstract

Relationships have been derived and an algorithm has been presented for calculating the technological characteristics of lactic acid production, namely, the concentration of the main substrate that enters a fermenter (S₀, g/L), the concentration of the component of raw materials that produces the substrate during fermentation (M₀, g/L), and the dilution rate (D, h^–1), which ensure optimal conditions in the continuous mode. The productivity with respect to lactic acid (Q_P, g/(L h)) has been used as an optimality criterion. Calculations are based on the equations of a generalized mathematical model, which include the material balance relationships for biomass, the substrate, the product, the byproduct, and the component of raw materials that produces the substrate. The specific growth rate takes into account the maximum value for biomass (X_max, g/L) and the maximum value for the product (P_max, g/L). An equation has been derived for estimating the maximum value of productivity max Q_P and the corresponding value of dilution rate D^opt, the solution of which has been used for estimating the characteristics of the process in the stream that leaves the fermenter (X, g/L; S, g/L; P, g/L; and B, g/L). The results of calculations made it possible to estimate the amount of the substrate that ensures the optimum mode. The specific feature of the process has been revealed, and a relationship has been derived that shows that the choice of values for technological characteristics \(S_{0}^{{{\text{opt}}}}\) and \(M_{0}^{{{\text{opt}}}}\) is possible for the implementation of the optimum mode. The range of values that allow this choice, i.e., the multiplicity region, has been determined. An estimate of the efficiency of using the substrate has been obtained that determines the amount of the substrate consumed for the formation of biomass as a component that synthesizes the product. Numerical calculations using the basic values of constants in equations for the mathematical model, which were derived based on literature studies in solving particular problems, have been presented. It has been recommended that the results of this study be used to develop a practical technology and select a strain of microorganisms.

中文翻译：

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估计连续发酵生产乳酸的技术特性：最佳条件

摘要

推导了关系，并提出了一种计算乳酸生产技术特征的算法，即进入发酵罐的主要底物浓度（S ₀，g / L），在发酵过程中产生底物（M ₀，g / L）和稀释率（D，h ^–1），这确保了连续模式下的最佳条件。相对于乳酸的生产率（Q _P，g /（L h））已被用作最佳标准。计算基于广义数学模型的方程式，其中包括生物质，底物，产物，副产物和生产底物的原料成分之间的物料平衡关系。比增长率考虑了生物质的最大值（X _max，g / L）和产品的最大值（P _max，g / L）。导出了一个方程，用于估算生产率最大值 Q _P的最大值和稀释率D ^opt的对应值，其溶液已用于估算离开发酵罐的物流中的过程特征（X，g / L；S，g / L；P，g / L；B，g / L）。计算结果使得可以估计确保最佳模式的基板量。揭示了该过程的特定特征，并推导了一种关系，该关系表明技术特性\（S_ {0} ^ {{{\\ t​​ext {opt}}}} \）和\（M_ {0} ^ {{{{\ text {opt}}}}} \）实现最佳模式是可能的。确定了允许该选择的值的范围，即多重性区域。已经获得了使用底物的效率的估计，该估计确定了用于形成生物质作为合成产物的组分而消耗的底物的量。提出了使用数学模型方程式中常数的基本值进行的数值计算，这些数值是基于解决特定问题的文献研究得出的。已建议将这项研究的结果用于开发实用技术并选择微生物菌株。