A Strong Stability Model for Nonlinear Dynamical Systems with Time Delay

Abstract

The invention relates to a strong stability model of a nonlinear time-delay dynamical system. The model takes the concentration of extracellular 1,3-propanediol as a performance index, and uses the nonlinear time-delay dynamical system, the approximate stability of a batch fermentation system, The relative error of intracellular and intracellular substance concentration and the stability of intracellular substance concentration are the main constraint conditions, and a strong stability model is constructed. The invention establishes a nonlinear time-delay dynamical system and transforms it into a linear variational equation, constructs a method for linearizing nonlinear problems, better solves the nonlinear time-delay dynamical system, and proposes a nonlinear time-delay dynamical system The condition of the strong stability model of the system is given, and the existence solution method of the strong stability model is given.

Description

technical field [0001] The invention belongs to the technical field of bioengineering, and in particular relates to a strong stability model of a nonlinear time-delay dynamical system. Background technique [0002] Fermentation is the process of using microorganisms to generate and accumulate specific metabolites or bacteria. According to the different raw material supply methods and product output methods, fermentation can be divided into batch culture, continuous culture and batch culture. Fed-batch fermentation. The continuous fermentation of microorganisms refers to the culture method of continuously injecting the substrate into the fermenter and continuously taking out the fermentation liquid from the fermenter. Considering the low cost and convenience of continuous fermentation Automatic control, so this kind of fermentation method is more suitable for factories to produce 1,3-PD in large quantities. The technology of producing 1,3-PD by microbial fermentation in China...

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Problems solved by technology

[0002] Fermentation is the process of using microorganisms to generate and accumulate specific metabolites or bacteria. According to the different raw material supply methods and product output methods, fermentation can be divided into batch culture, continuous culture and batch culture. Fed-batch fermentation. The continuous fermentation of microorganisms refers to the culture method of continuously injecting the substrate into the fermenter and continuously taking out the fermentation liquid from the fermenter. Considering the low cost and convenience of continuous fermentation Automatic control, so this kind of fermentation method is more suitable for factories to produce 1,3-PD in large quantities. The technology of producing 1,3-PD by microbial fermentation in China is not particularly mature, and the production intensity is not high, the output is too low, and the cost is relatively high. For advanced problems, most complex biological processes can be expressed as multi-dimensional nonlinear complex dynamical systems in the form of differential equations

The production of 1,3-PD from glycerol by microbial fermentation is a complex process, which is divided into oxidation pathway and reduction pathway. Due to the many enzymes involved in the oxidation pathway, the metabolic pathway is complex. The fourteen-dimensional gene regulation nonlinear dynamic system For continuous fermentation, no one has comprehensively studied the identification of the most likely metabolic pathways and system parameters except for transmembrane transport

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