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Open AccessJournal ArticleDOI

Network analysis of intermediary metabolism using linear optimization. I. Development of mathematical formalism.

Joanne M. Savinell, +1 more
- 21 Feb 1992 - 
- Vol. 154, Iss: 4, pp 421-454
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TLDR
Analysis of metabolic networks using linear optimization theory allows one to quantify and understand the limitations imposed on the cell by its metabolic stoichiometry, and to understand how the flux through each pathway influences the overall behavior of metabolism.
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This article is published in Journal of Theoretical Biology.The article was published on 1992-02-21 and is currently open access. It has received 255 citations till now.

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Citations
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On lifting poorly-scaled ux balance analysis problems

TL;DR: This paper presents a meta-analysis of Metabolic-Expression networks, a large and comprehensive networks that explicitly accounts for the demands of macromolecular synthesis at single nucleotide resolution, which shows how reaction rates can vary over many orders of magnitude.
Book ChapterDOI

\(H_\infty \) Feedback Control Theory in Biochemical Systems

TL;DR: The threonine synthesis pathway that contains three negative feedback loops is analyzed and is shown to be optimal in the \(H_\infty \) sense.
Patent

Data structures and methods for modeling Saccharomyces cerevisiae metabolism

TL;DR: In this paper, an in-silico model for determining a S. cerevisiae physiological function was proposed, which includes a data structure that relates a plurality of S cerevisia reactants to a plurality or set of S. reactions, a constraint set for the plurality of reactions, and commands for determining the distribution of flux through the reactions.
Journal ArticleDOI

A Carbon Flux Distribution Analysis of Hybrid om a Cell Culture Using Linear Programming: Modeling Isotope Distribution and in vivo Flux Analysis by Measurement of 13 C Enrichment Using NMR Spectroscopy

TL;DR: An Isotope distrisbution model was developed to trace the fate of 13 C in the metabolic pathway and was used to determine the flux in vivo by measurement of enrichment of 13C using NMR spectroscopy.
Book ChapterDOI

Principles of Metabolic Engineering

TL;DR: Metabolic engineering deals with the application of rational engineering principles in the redesign of metabolic pathways in microorganisms for desired properties through the design and identification of rational targets through application of metabolic flux and control analysis.
References
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Book

Linear and nonlinear programming

TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
Journal ArticleDOI

The pathways of glutamate and glutamine oxidation by tumor cell mitochondria. Role of mitochondrial NAD(P)+-dependent malic enzyme.

TL;DR: Analysis of oxidative pathways of glutamine and glutamate showed that extramitochondrial malate is oxidized almost quantitatively to pyruvate + CO2 by NAD(P)+-linked malic enzyme, present in the mitochondria of all tumors tested, but absent in heart, liver, and kidney mitochondria.
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Linear optimization theory is a mathematical formalism used to analyze metabolic networks and understand the limitations and behavior of metabolism.