Name
Title | ||
|---|---|---|
Infer objective function of glycerol metabolism in klebsiella pneumoniae basing on bilevel programming. |
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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s11424-010-8235-1 | J. Systems Science & Complexity |
Keywords | Field | DocType |
metabolism,penalty method,optimization model,klebsiella pneumoniae,bilevel programming,penalty method.,objective function,mathematical modelling,nonlinear programming | Convergence (routing),Existence theorem,Mathematical optimization,Nonlinear system,Bilevel optimization,Glycerol metabolism,Nonlinear programming,Klebsiella pneumoniae,Mathematics,Penalty method | Journal |
Volume | Issue | ISSN |
23 | 2 | 15597067 |
Citations | PageRank | References |
1 | 0.48 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhaohua Gong | 1 | 22 | 5.31 |
| Yongsheng Yu | 2 | 1 | 0.48 |
| Enmin Feng | 3 | 111 | 24.41 |