1970年1月1日 · The chapter discusses that mathematical models of microbial growth are generated by a combination of three processes. First, well-established physical, chemical, or biological principles may provide certain parts of the model. Second, some hypotheses of the model may be plausible inferences from existing data.

2018年9月14日 · In particular, a mathematical model was developed explicitly taking into account the main mechanisms of the fermentation process, allowing for continuous computation of key process variables, including the biomass concentration and the respiratory quotient (RQ).

2018年11月21日 · In bioprocesses, representation through simple or complex models, fermentation must consider process variables and analytes in mathematical models to achieve optimization, to develop simulations, and to calculate the output of critical variables in bioprocesses. Kinetic models allow predicting the behavior of biochemical reactions.

Mathematical models, as approximations of reality, can clearly represent fermentation processes whose intrinsic complexity exceeds intuitive understanding, thus providing indispensable insight into designing, controlling, and optimizing the process, as well as minimizing unnecessary experimentation [20, 21].

2023年10月1日 · This study presents a novel integrated model to describe the fermentation-pervaporation system for bioethanol recovery. The proposed model incorporates the effects of by-product inhibition on the fermentation process and variation in feed concentration during the pervaporation process.

2022年9月30日 · Mathematical modeling is a powerful and inexpensive approach to provide a quantitative basis for improvements that minimize the negative effects of bioreactor heterogeneity. For a model to accurately represent a heterogeneous system, a flow model that describes how mass is channeled between different zones of the bioreactor volume is necessary.

This review derives a general framework for the kinetic modelling of microbial growth from basic hypotheses about the underlying reaction systems, and shows that several families of approximate models presented in the literature, notably flux balance models and coarse-grained whole-cell models, can be derived with the help of additional ...

1990年12月5日 · Mathematical models of the catabolic pathways, the utilization and waste of ATP, and the factors affecting yeast growth in a micro-aerobic chemostat are presented. The models incorporate the intracellular metabolite and enzyme activity assays performed in Part II to explain the unusual macroscopic chemostat behaviors reported in Part I.

A mathematical model describing the dynamics of a fermentation process carried out in a fluidized bed bioreactor with immobilised yeast is proposed The model is a set of coupled partial differential equations, derived from the unsteady state mass balances of the species involved in the fermentation: substrate, biomass and product.

2002年4月1日 · Since aerobic fermentations with formation of a single metabolite exhibit three degrees of freedom, three independent kinetic equations are necessary to build the state space model. Test...