Abstract

The results of an analysis of mathematical models for a continuous fermentation process for lactic acid production have been presented. Mathematical models are represented by equations with the kinetics of the formation of lactic acid for strains of the following types: strains that consume only the main substrate (most frequently, glucose) and do not form by-products; strains that form by-products; strains that consume not only the main substrate, but also the substrate that forms during synthesis from the corresponding component of raw materials; and strains that use both the substrate from the component that forms during synthesis and simultaneously form a by-product in sufficiently large amounts. Kinetic relationships take into account inhibition by biomass (X), a substrate (S), and a product (P). The resulting relationships for the concentrations of the products (in the general case, X, S, P, and B) have been presented, and, most importantly, inlet characteristics (in the general case, D, S₀, and M₀) that ensure the real implementation of the technology have been estimated. Computational relationships and algorithms for the calculation of characteristics in different variants of the formulation of problems have been given. It has been pointed out that, in most solutions, there is the possibility of obtaining characteristics that ensure a set of implementing technologies. Data on the sources of raw materials used in published scientific studies have been presented. A table with algorithms for calculating the characteristics of steady states and numerical examples of calculating the characteristics of steady states have been given.

中文翻译：

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乳酸生产的生物技术连续发酵过程的数学建模：综述

摘要

已经介绍了乳酸生产的连续发酵过程的数学模型分析结果。数学模型由以下类型菌株的乳酸形成动力学方程表示： 仅消耗主要底物（最常见的是葡萄糖）且不形成副产物的菌株；形成副产品的菌株；菌株不仅消耗主要底物，还消耗原料的相应成分在合成过程中形成的底物；和使用合成过程中形成的组分的底物并同时形成足够大量副产物的菌株。动力学关系考虑了生物量 ( X )、底物 ( S) 和产品 ( P )。产品浓度的结果关系（在一般情况下，X、S、P和B）已经呈现，最重要的是，入口特性（在一般情况下，D、S ₀和M ₀) 确保技术的真正实施已经被估计。已经给出了用于计算问题表述的不同变体中的特征的计算关系和算法。已经指出，在大多数解决方案中，都有可能获得确保一组实现技术的特性。已提供有关已发表科学研究中使用的原材料来源的数据。给出了计算稳态特性的算法和计算稳态特性的数值例子的表格。