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Indexed by:期刊论文

Date of Publication:2010-04-01

Journal:JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

Included Journals:SCIE、EI

Volume:23

Issue:2

Page Number:334-342

ISSN No.:1009-6124

Key Words:Bilevel programming; Klebsiella Pneumoniae; metabolism; optimization model; penalty method

Abstract:Mathematical modelling of cellular metabolism plays an important role in understanding biological functions and providing identification of targets for biotechnological modification. This paper proposes a nonlinear bilevel programming (NBP) model to infer the objective function of anaerobic glycerol metabolism in Klebsiella Pneumoniae (K. Pneumoniae) for 1, 3-propanediol (1, 3-PD) production. Based on the Kuhn-Tucker optimality condition of the lower level problem, NBP is transformed into a nonlinear programming with complementary and slackness conditions. The authors give the existence theorem of solutions to NBP. An efficient algorithm is proposed to solve NBP and its convergence is also simply analyzed. Numerical results reveal some interesting conclusions, e.g., biomass production is the main force to drive glycerol metabolism, and the objective functions, which are obtained in term of several different groups of flux distributions, are similar.