Stability Analysis of the Nonlinear Impulsive System in Microbial Fed-Batch Fermentation

Stability Analysis of Nonlinear Hybrid System in Microbial Fed-batch Culture∗

In this paper, we study the stability of the nonlinear hybrid system describing the concentrations of extracellular and intracellular substances in the process of bio-dissimilation of glycerol to 1,3-propanediol. We prove an asymptotical stability lemma in nonlinear impulsive hybrid systems and obtain the strict stability and uniformly asymptotical stability for the nonlinear hybrid system. The...

Modeling and optimal control of a nonlinear dynamical system in microbial fed-batch fermentation

The mathematical model and optimal control of microbial fed-batch fermentation is considered in this paper. Since it is decisive for increasing the productivity of 1,3propanediol (1,3-PD) to optimize the feeding rate of glycerol and the switching instants between the batch and feeding processes in the fermentation process, we propose a new nonlinear dynamical system to formulate the process. In...

Sensitivity analysis and parameter identification for a nonlinear time-delay system in microbial fed-batch process

Developing suitable dynamic models of bioprocess is a difficult issue in bioscience. In this paper, considering the microbial metabolism mechanism, i.e., the production of new biomass is delayed by the amount of time it takes to metabolize the nutrients, in glycerol bioconversion to 1,3-propanediol, we propose a nonlinear time-delay system to formulate the fed-batch fermentation process. Some i...

Modelling and Regularity of Nonlinear Impulsive Switching Dynamical System in Fed-Batch Culture

and Applied Analysis 3 According to the factual experiments, we make the following assumptions. H1 The concentrations of reactants are uniform in reactor, while time delay and nonuniform space distribution are ignored. H2 The feeding media includes only fixed concentrations of glycerol and alkali. In the laboratory, the effect of alkali feeding on the pH value is much bigger than the effect of ...

The scale-up of microbial batch and fed-batch fermentation processes.