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Glycerol bioconversion to 1,3-propanediol (1,3-PD) by Kleb-siella pneumoniae (K. pneumoniae) can be characterized by an intricate network of interactions among biochemical fluxes, metabolic compounds, key enzymes and genetic regulatory. To date, there still exist some uncertain factors in this complex network because of the limitation in bio-techniques,(More)
FMS (Flexible manufacturing system) scheduling is the center of its management owing to the dynamic nature of the system. Besides loading and discharging cutting tools and jig & fixture, the scheduling mainly deals with these optimal questions: how to choose parts; how to group parts; how to assign the system load; how to queue up the manufacturing(More)
This paper consider a microbial continuous process. Hybrid nonlinear systems are developed for describing the dynamics of the process under three possible transmembrane transport modes of the goal product 1,3-propanediol. The established model is also based on the assumptions that the transmembrane transport mode of the substrate glycerol is a combination(More)
Many physical systems and processes encompass several modes of operation with a different dynamical behavior in each mode. Switching systems provide a suitable mathematical model for such processes. It is well known that the continuous states of switching systems are often non-differentiable with respect to parameters at the switching instants. However,(More)
The stochastic counterpart to the deterministic description of continuous fermentation with ordinary differential equation is investigated in the process of glycerol bio-dissimilation to 1,3-propanediol by Klebsiella pneumoniae. We briefly discuss the continuous fermentation process driven by three-dimensional Brownian motion and Lipschitz coefficients ,(More)
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