An improved algorithm for flux variability analysis

Abstract Flux balance analysis (FBA) is an optimization based approach to find the optimal steady state of a metabolic network, commonly of microorganisms such as yeast strains and Escherichia coli. However, the resulting solution from an FBA is typically not unique, as the optimization problem is,...

Full description

Bibliographic Details
Main Authors: Dustin Kenefake, Erick Armingol, Nathan E. Lewis, Efstratios N. Pistikopoulos
Format: Article
Language:English
Published: BMC 2022-12-01
Series:BMC Bioinformatics
Subjects:
Online Access:https://doi.org/10.1186/s12859-022-05089-9
_version_ 1797977204116684800
author Dustin Kenefake
Erick Armingol
Nathan E. Lewis
Efstratios N. Pistikopoulos
author_facet Dustin Kenefake
Erick Armingol
Nathan E. Lewis
Efstratios N. Pistikopoulos
author_sort Dustin Kenefake
collection DOAJ
description Abstract Flux balance analysis (FBA) is an optimization based approach to find the optimal steady state of a metabolic network, commonly of microorganisms such as yeast strains and Escherichia coli. However, the resulting solution from an FBA is typically not unique, as the optimization problem is, more often than not, degenerate. Flux variability analysis (FVA) is a method to determine the range of possible reaction fluxes that still satisfy, within some optimality factor, the original FBA problem. The resulting range of reaction fluxes can be utilized to determine metabolic reactions of high importance, amongst other analyses. In the literature, this has been done by solving $$2n+1$$ 2 n + 1 linear programs (LPs), with n being the number of reactions in the metabolic network. However, FVA can be solved with less than $$2n+1$$ 2 n + 1 LPs by utilizing the basic feasible solution property of bounded LPs to reduce the number of LPs that are needed to be solved. In this work, a new algorithm is proposed to solve FVA that requires less than $$2n+1$$ 2 n + 1 LPs. The proposed algorithm is benchmarked on a problem set of 112 metabolic network models ranging from single cell organisms (iMM904, ect) to a human metabolic system (Recon3D). Showing a reduction in the number of LPs required to solve the FVA problem and thus the time to solve an FVA problem.
first_indexed 2024-04-11T05:03:13Z
format Article
id doaj.art-83a73ddabd784bec8c2d69998ef2c3c2
institution Directory Open Access Journal
issn 1471-2105
language English
last_indexed 2024-04-11T05:03:13Z
publishDate 2022-12-01
publisher BMC
record_format Article
series BMC Bioinformatics
spelling doaj.art-83a73ddabd784bec8c2d69998ef2c3c22022-12-25T12:32:10ZengBMCBMC Bioinformatics1471-21052022-12-0123111410.1186/s12859-022-05089-9An improved algorithm for flux variability analysisDustin Kenefake0Erick Armingol1Nathan E. Lewis2Efstratios N. Pistikopoulos3Texas A &M Energy Institute, Texas A &M UniversityDepartment of Pediatrics, University of California, San DiegoDepartment of Pediatrics, University of California, San DiegoTexas A &M Energy Institute, Texas A &M UniversityAbstract Flux balance analysis (FBA) is an optimization based approach to find the optimal steady state of a metabolic network, commonly of microorganisms such as yeast strains and Escherichia coli. However, the resulting solution from an FBA is typically not unique, as the optimization problem is, more often than not, degenerate. Flux variability analysis (FVA) is a method to determine the range of possible reaction fluxes that still satisfy, within some optimality factor, the original FBA problem. The resulting range of reaction fluxes can be utilized to determine metabolic reactions of high importance, amongst other analyses. In the literature, this has been done by solving $$2n+1$$ 2 n + 1 linear programs (LPs), with n being the number of reactions in the metabolic network. However, FVA can be solved with less than $$2n+1$$ 2 n + 1 LPs by utilizing the basic feasible solution property of bounded LPs to reduce the number of LPs that are needed to be solved. In this work, a new algorithm is proposed to solve FVA that requires less than $$2n+1$$ 2 n + 1 LPs. The proposed algorithm is benchmarked on a problem set of 112 metabolic network models ranging from single cell organisms (iMM904, ect) to a human metabolic system (Recon3D). Showing a reduction in the number of LPs required to solve the FVA problem and thus the time to solve an FVA problem.https://doi.org/10.1186/s12859-022-05089-9Flux variability analysisLinear programmingBiological systems engineering
spellingShingle Dustin Kenefake
Erick Armingol
Nathan E. Lewis
Efstratios N. Pistikopoulos
An improved algorithm for flux variability analysis
BMC Bioinformatics
Flux variability analysis
Linear programming
Biological systems engineering
title An improved algorithm for flux variability analysis
title_full An improved algorithm for flux variability analysis
title_fullStr An improved algorithm for flux variability analysis
title_full_unstemmed An improved algorithm for flux variability analysis
title_short An improved algorithm for flux variability analysis
title_sort improved algorithm for flux variability analysis
topic Flux variability analysis
Linear programming
Biological systems engineering
url https://doi.org/10.1186/s12859-022-05089-9
work_keys_str_mv AT dustinkenefake animprovedalgorithmforfluxvariabilityanalysis
AT erickarmingol animprovedalgorithmforfluxvariabilityanalysis
AT nathanelewis animprovedalgorithmforfluxvariabilityanalysis
AT efstratiosnpistikopoulos animprovedalgorithmforfluxvariabilityanalysis
AT dustinkenefake improvedalgorithmforfluxvariabilityanalysis
AT erickarmingol improvedalgorithmforfluxvariabilityanalysis
AT nathanelewis improvedalgorithmforfluxvariabilityanalysis
AT efstratiosnpistikopoulos improvedalgorithmforfluxvariabilityanalysis