Improved Dynamic System of Microbial Continuous Fermentation and its Parameter Identification

Abstract:

In this paper, the nonlinear dynamic system of microbe continuous fermentation products 1,3-propanediol (1,3-PD) is rewritten by improving the specific cellular growth rate, specific substrate consumption rate and specific product formation rate. Firstly, under the condition of substrate glycol excess and active trans-membrane transport, according to the dynamic behavior the fermentation process, we consider the glycerol and 1,3–PD concentration within the cell, and improve the specific cellular growth rate, specific substrate consumption rate and specific product formation rate, then rewrite the dynamic system of microbial continuous fermentation process. Secondly, taking the dynamic system as main constraint condition, we establish the parameter identification model and prove the existence of the optimal solution. Lastly, the numerical results calculated by particle swarm algorithm show that the improved model is suitable for describe the dynamic behavior of 1,3-PD, but is not accurate enough for by-products.

• Periodical: Applied Mechanics and Materials (Volumes 633-634)
• Pages: 545-549
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.633-634.545
• Online since: September 2014
• Authors: Hong Li Xiao*, Lan Zhang Chong, Fei Li Hang, Wang Yong
• Keywords: Improved Dynamic System, Microbial Continuous Fermentation, Parameter Identification

References

[1] A.P. Zeng, A. ROSE, H. Biebl, et al. Multiple product inhibition and growth modeling of Clostridium butyricum and Klebsiella pneumoniae in fermentation. Biotechnol Bioeng, Vol. 44(1994), pp.902-911.

DOI: 10.1002/bit.260440806

[2] L. H. Sun, Z.L. Xiu, Y .F. Ma. Model analysis of multiplicity and bifurcation in continuous cultures of microorganisms. Journal of Dalian University of Technology, Vol. 41(2003), pp.300-304.

[3] GONG Zhao-hua，Modeling in fed-batch fermentation and its parameter identification based on HPSO algorithm. Journal of Shandong University (Natural Science). Vol. 44(2009), pp.65-68.

[4] Ya Qin sun et al, Mathematical modeling of glycerol fermentation by Klebsiella phenomenon Concerning enzyme-catalytic reductive pathway and transport of glycerol and 1, 3-propanediol across cell membrane. Biochemical Engineering Journal. Vol. 38(2008).

DOI: 10.1016/j.bej.2007.06.002

[5] Lei W, En-min F, Jian-xiong Y, Zhi-long X., An improved model for multistage simulation of glycerol fermentation in batch culture and its parameter identification. Nonlinear analysis: Hybrid Sys. Vol. 3(2009), pp.455-462.

DOI: 10.1016/j.nahs.2009.03.003

[6] Cai-xia G, En-min F, Zhi-long X., Parameters identification problem of the nonlinear dynamical system in microbial continuous cultures, Appl. Math. Comput. Vol. 169(2005), pp.476-484.

[7] SHEN Bang-yu, LIU Chong-yang, YE Jian-xiong, FENG En-min, Indentification of parametersand optimization algorithm in system of microbial continuous culture. Journal of Dalian university of Technology. Vol. 52(2012), pp.150-157. (In Chinese).

[8] LIU Chong-yang, YIN Lei, FENG En-min, XIU Zhi-long, Modeling ofmicrobial continuous fermentations and identifyingof intracellular kinetic parameters. Journal of Dalian university of Technology. Vol. 51(2011), pp.458-463. (In Chinese).