Stability of nonlinear microbial bioconversion system concerning glycerol's active transport and 1,3-PD's passive transport

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 5, 2010, Pages 3501-3511

  Shiyun, Wang ^a,b   Enmin, Feng ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b SHENYANG AEROSPACE UNIVERSITY   (China)

Author keywords

1,3 propanediol; Equilibrium solution; Intracellular substances; Stability; Transport across cell membrane

Indexed keywords

ACTIVE TRANSPORT; EQUILIBRIUM SOLUTION; EQUILIBRIUM SOLUTIONS; EXISTENCE AND UNIQUENESS; GLOBAL STABILITY; INTRACELLULAR SUBSTANCES; KLEBSIELLA PNEUMONIAE; NEWTON'S METHODS; NONLINEAR MATHEMATICAL MODEL; PASSIVE TRANSPORT; PROPANEDIOLS;

CELL MEMBRANES; CYTOLOGY; GLYCEROL; NEWTON-RAPHSON METHOD; SYSTEM STABILITY;

MATHEMATICAL MODELS;

EID: 77955515292     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.12.011     Document Type: Article

References (19)

1. Z.L. Xiu, B.H. Song, Z.T. Wang, L.H. Sun, E.M. Feng, and A.P. Zeng Optimization of biodissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae in one-stage and two-stage anaerobic cultures Biochem. Eng. J. 19 2004 189 197
2. Y.Q. Sun Mathematical modeling of glycerol fermentation by Klebsiella pneumoniae: Concerning enzyme-catalytic reductive pathway and transport of glycerol and 1.3-propanediol across cell membrane Biochem. Eng. J. 38 2008 22 32
3. A.P. Zeng, and H. Biebl Bulk chemicals from biotechnology: The case of 1.3-propanediol production and the new trends Adv. Biochem. Eng. Biotechnol. 74 2002 239 259
4. A.P. Zeng A kinetic model for product fermentation of microbial and mammalian cells Biotechnol. Bioeng. 46 1995 314 324
5. A.P. Zeng, and W.D. Deckwer A kinetic model for substrate and energy consumption of microbial growth under substrate-sufficient conditions Biotechnol. Prog. 11 1995 71 79
6. K. Menzel, A.P. Zeng, and H. Biebl Kinetic, dynamic and pathway studies of glycerol metabolism by Klebsiella pneumoniae in anaerobic continuous culture: (1) the phenomena and characterization of oscillations and hysteresis Biotechnol. Bioeng. 52 1996 549 560
7. A.P. Zeng, K. Menzel, and W.D. Deckwer Kinetic, dynamic and pathway studies of glycerol metabolism by Klebsiella pneumoniae in anaerobic continuous culture: (2) analysis of metabolic rates under pathway oscillation and stady-rate conditions Biotechnol. Bioeng. 52 1996 549 560
8. Z.L. Xiu, A.P. Zeng, and L.J. An Mathematical modeling of kinetics and reasearch on multiplicity of glycerol bioconversion to 1.3-propanediol J. Dalian Univ. Technol. 40 2000 428 433
9. J. Sun, J. van den Heuvel, P. Soucaille, Y. Qu, and A.P. Zeng Comparative genomic analysis of dha regulon and related genes for anaerobic glycerol metabolism in bacteria Biotechnol. Prog. 19 2003 263C272
10. D.P. Richery, and E.C. Lin Importance of facilitated diffusion for effective utilization of glycerol by Escherichia coli J. Bacteriol. 12 1972 784 790
11. K.B. Heller, E.C. Lin, and T.H. Wilson Substrate specificity and transport properties of the glycerol facilitator of Escherichia coli J. Bacteriol. 144 1980 274 278 528
12. Jrme Hnin, Emad Tajkhorshid, Klaus Schulten, and Christophe Chipot Diffusion of Glycerol through Escherichia coli Aquaglyceroporin GlpF Biophys. J. 94 3 2008 832 839
13. Z.L. Xiu, A.P. Zeng, and W.D. Deckwer Multiplicity and stability analysis of microorganisms in continuous culture: Effects of metabolic overflow and growth inhibition Biotechnol. Bioeng. 57 1998 251 261
14. Caixia Gao, and Enmin Feng Nonlinear impulsive system of fed-batch culture in fermentative production and its properties Chaos Solitons Fractals 28 2006 271 277
15. Caixia Gao, Enmin Feng, and Zongtao Wang Nonlinear dynamical system of bio-dissimilation of glycerol to 1.3-propanediol and their optimal controls Journal of industrial and managent optimization 1 3 2005 377 388
16. Yong-Feng Ma Hopf bifurcation and chaos analysis of a microbial continuous culture model with time delay Int. J. Nonlinear Sci. Numer. Simul. 7 3 2006 305 308
17. Feng Enmin, Zhigang Jiang, The optimal properties of nonlinear bilevel multi-stage dynamic system, in: Proceedings of the 6th World Congress on Control and Automation, June 2123, 2006, Dalian, China
18. X.H. Li, E.M. Feng, and Z.L. Xiu Stability analysis of equilibrium for microorganisms in continuous culture Appl. Math. J. Chinese Univ. Ser. B 20 4 2005 377 383
19. Liao Xiaoxin Theory, Method and Application of Stability 1999 Wu han: Huazhong Umiv of Technology Press