2015, 5(4): 393-403. doi: 10.3934/naco.2015.5.393

Modeling and identification of dynamical system with Genetic Regulation in batch fermentation of glycerol

1. 

School of Mathematical Science, Dalian University of Technology, Linggong Road, Dalian, Liaoning 116024, China, China

Received  April 2015 Revised  October 2015 Published  October 2015

The background of this paper is the production of 1,3-PD by batch fermentation of glycerol, supposed that glycerol and 1,3-PD pass the cell membrane by passive diffusion with active transportation. We present a nonlinear enzyme-catalytic dynamical system with genetic regulation and our purpose is to identify these parameters in the dynamical system. Since the intracellular substance concentrations are immeasurable, we refer to the robustness definition of parameter disturbance in biological system, then we establish a parameter identification model. We prove the existence of the solution to the optimization model. At last, we get the parameters of dynamical systems by particle swarm algorithm. Numerical results show that the optimization algorithm is valid and the genetic regulations can help to understand the intracellular reaction process.
Citation: Xu Zhang, Xiang Li. Modeling and identification of dynamical system with Genetic Regulation in batch fermentation of glycerol. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 393-403. doi: 10.3934/naco.2015.5.393
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show all references

References:
[1]

Journal of Dalian University of Technology, 46 (2006), 771-774. Google Scholar

[2]

Journal of Dalian University of Technology, 49 (2009), 611-616.  Google Scholar

[3]

Applied Mathematics and Computation, 219 (2013), 6979-6985. doi: 10.1016/j.amc.2012.12.082.  Google Scholar

[4]

Nat. Rev. Genet., 5 (2004), 826-837. Google Scholar

[5]

Journal of Microbiolog, 4 (2000), 300-302. Google Scholar

[6]

Journal of Dalian University of Technology, 51 (2011), 458-463.  Google Scholar

[7]

Biochemical Engineering Journal, 38 (2008), 22-32. Google Scholar

[8]

Dalian: Dalian university of technology, 2010. Google Scholar

[9]

Nonlinear Analysis: Hybrid Systems, 3 (2009), 455-462. doi: 10.1016/j.nahs.2009.03.003.  Google Scholar

[10]

Mathematical and Computer Modelling, 54 (2011), 618-624. doi: 10.1016/j.mcm.2011.03.005.  Google Scholar

[11]

Dalian: Dalian university of technology, 2012. Google Scholar

[12]

Journal of Dalian University of Technology, 40 (2000), 428-433. Google Scholar

[13]

Biotechnol., 44 (1994), 902-911. Google Scholar

[14]

Journal of Biomathematics, 3 (2011), 524-532. Google Scholar

[15]

Application Research of Computers, 12 (2003), 7-11. Google Scholar

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