Sensitivity analysis and identification of kinetic parameters in batch fermentation of glycerol

  • Authors:

  • Juan Wang;Jianxiong Ye;Hongchao Yin;Enmin Feng;Lei Wang

  • Affiliations:

  • School of Sciences, China University of Petroleum, Qingdao, Shandong 266555, PR China and School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China and S ...;School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian 350007, PR China;School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, PR China;School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2012

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Abstract

A nonlinear dynamical system was established in our preceding work to describe the batch and continuous bioconversions of glycerol to 1,3-propanediol by Klebsiella pneumoniae. The purpose of this article is to analyze the sensitivity of kinetic parameters of the dynamical system and identify their values from experiment. A global sensitivity analysis approach is constructed by combining the local technique with the Monte Carlo method. With only those parameters of higher sensitivity as design variables, we propose a parameter identification model and solve it by a gradient-based simulated annealing algorithm. Numerical results show that our methods are feasible and efficient.