This study focuses on developing a mathematical model to assess interaction among acidogenic bacteria during the anaerobic degradation of two substrates. Clostridium cadaveris and Clostridium sporogenes were cultured in various combinations with glucose and peptone. Parameter estimates are given for both conventional Monod parameters from single substrate-single species cultures and sum kinetics with interaction parameters obtained from dual substrate-single species cultures. The presence of multiple substrates led to both inhibitory and enhancing effects on biodegradation rates for dual substrates compared to single substrate cultures. A new model of interspecies interaction was developed within the framework of Lotka-Volterra incorporating substrate interaction parameters, with a focus on accuracy, realism, simplicity, and biological significance. The model demonstrated competitive interaction for resource sharing and the additional non-linearity parameter eliminated the constraint of the linear relationship between growth rate and population density.

本研究的重点是开发一个数学模型来评估两种底物厌氧降解过程中产酸细菌之间的相互作用。将尸体梭菌和产孢梭菌与葡萄糖和蛋白胨以各种组合进行培养。给出了来自单基质-单物种培养物的常规莫诺参数和从双基质-单物种培养物获得的相互作用参数的总动力学参数估计。与单基质培养物相比，多种基质的存在对双基质的生物降解速率产生抑制和增强作用。在 Lotka-Volterra 框架内开发了一种新的种间相互作用模型，结合了底物相互作用参数，重点关注准确性、真实性、简单性和生物学意义。该模型展示了资源共享的竞争相互作用，并且附加的非线性参数消除了增长率与人口密度之间线性关系的约束。