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Title: Constraining Genome-Scale Models to Represent the Bow Tie Structure of Metabolism for 13C Metabolic Flux Analysis

Abstract

Determination of internal metabolic fluxes is crucial for fundamental and applied biology because they map how carbon and electrons flow through metabolism to enable cell function. 13C Metabolic Flux Analysis (13C MFA) and Two-Scale 13C Metabolic Flux Analysis (2S-13C MFA) are two techniques used to determine such fluxes. Both operate on the simplifying approximation that metabolic flux from peripheral metabolism into central “core” carbon metabolism is minimal, and can be omitted when modeling isotopic labeling in core metabolism. The validity of this “two-scale” or “bow tie” approximation is supported both by the ability to accurately model experimental isotopic labeling data, and by experimentally verified metabolic engineering predictions using these methods. However, the boundaries of core metabolism that satisfy this approximation can vary across species, and across cell culture conditions. Here, we present a set of algorithms that (1) systematically calculate flux bounds for any specified “core” of a genome-scale model so as to satisfy the bow tie approximation and (2) automatically identify an updated set of core reactions that can satisfy this approximation more efficiently. First, we leverage linear programming to simultaneously identify the lowest fluxes from peripheral metabolism into core metabolism compatible with the observed growth rate and extracellularmore » metabolite exchange fluxes. Second, we use Simulated Annealing to identify an updated set of core reactions that allow for a minimum of fluxes into core metabolism to satisfy these experimental constraints. Together, these methods accelerate and automate the identification of a biologically reasonable set of core reactions for use with 13C MFA or 2S-13C MFA, as well as provide for a substantially lower set of flux bounds for fluxes into the core as compared with previous methods. We provide an open source Python implementation of these algorithms at https://github.com/JBEI/limitfluxtocore.« less

Authors:
 [1];  [2];  [3];  [4];  [2]
  1. Joint BioEnergy Inst. (JBEI), Emeryville, CA (United States); Agile BioFoundry, Emeryville, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Biological Systems and Engineering Division; Univ. of California, Berkeley, CA (United States). QB3 Inst.
  2. Joint BioEnergy Inst. (JBEI), Emeryville, CA (United States); Agile BioFoundry, Emeryville, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Biological Systems and Engineering Division
  3. Joint BioEnergy Inst. (JBEI), Emeryville, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Biological Systems and Engineering Division; Univ. of California, Berkeley, CA (United States). Dept. of Bioengineering. Dept. of Computer Science
  4. Joint BioEnergy Inst. (JBEI), Emeryville, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Biological Systems and Engineering Division; Univ. of California, Berkeley, CA (United States). QB3 Inst. Dept. of Bioengineering. Dept. of Chemical and Biomolecular Engineering; Technical Univ. of Denmark, Lyngby (Denmark). Novo Nordisk Foundation Center for Biosustainability
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Sustainable Transportation Office. Bioenergy Technologies Office; USDOE Office of Science (SC)
OSTI Identifier:
1506297
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Metabolites
Additional Journal Information:
Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2218-1989
Publisher:
MDPI
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; genome scale models; 13C metabolic flux analysis; two-scale 13C metabolic flux analysis; flux balance analysis; stoichiometry; linear programming; cellular metabolism; simulated annealing

Citation Formats

Backman, Tyler, Ando, David, Singh, Jahnavi, Keasling, Jay, and García Martín, Héctor. Constraining Genome-Scale Models to Represent the Bow Tie Structure of Metabolism for 13C Metabolic Flux Analysis. United States: N. p., 2018. Web. doi:10.3390/metabo8010003.
Backman, Tyler, Ando, David, Singh, Jahnavi, Keasling, Jay, & García Martín, Héctor. Constraining Genome-Scale Models to Represent the Bow Tie Structure of Metabolism for 13C Metabolic Flux Analysis. United States. https://doi.org/10.3390/metabo8010003
Backman, Tyler, Ando, David, Singh, Jahnavi, Keasling, Jay, and García Martín, Héctor. Thu . "Constraining Genome-Scale Models to Represent the Bow Tie Structure of Metabolism for 13C Metabolic Flux Analysis". United States. https://doi.org/10.3390/metabo8010003. https://www.osti.gov/servlets/purl/1506297.
@article{osti_1506297,
title = {Constraining Genome-Scale Models to Represent the Bow Tie Structure of Metabolism for 13C Metabolic Flux Analysis},
author = {Backman, Tyler and Ando, David and Singh, Jahnavi and Keasling, Jay and García Martín, Héctor},
abstractNote = {Determination of internal metabolic fluxes is crucial for fundamental and applied biology because they map how carbon and electrons flow through metabolism to enable cell function. 13C Metabolic Flux Analysis (13C MFA) and Two-Scale 13C Metabolic Flux Analysis (2S-13C MFA) are two techniques used to determine such fluxes. Both operate on the simplifying approximation that metabolic flux from peripheral metabolism into central “core” carbon metabolism is minimal, and can be omitted when modeling isotopic labeling in core metabolism. The validity of this “two-scale” or “bow tie” approximation is supported both by the ability to accurately model experimental isotopic labeling data, and by experimentally verified metabolic engineering predictions using these methods. However, the boundaries of core metabolism that satisfy this approximation can vary across species, and across cell culture conditions. Here, we present a set of algorithms that (1) systematically calculate flux bounds for any specified “core” of a genome-scale model so as to satisfy the bow tie approximation and (2) automatically identify an updated set of core reactions that can satisfy this approximation more efficiently. First, we leverage linear programming to simultaneously identify the lowest fluxes from peripheral metabolism into core metabolism compatible with the observed growth rate and extracellular metabolite exchange fluxes. Second, we use Simulated Annealing to identify an updated set of core reactions that allow for a minimum of fluxes into core metabolism to satisfy these experimental constraints. Together, these methods accelerate and automate the identification of a biologically reasonable set of core reactions for use with 13C MFA or 2S-13C MFA, as well as provide for a substantially lower set of flux bounds for fluxes into the core as compared with previous methods. We provide an open source Python implementation of these algorithms at https://github.com/JBEI/limitfluxtocore.},
doi = {10.3390/metabo8010003},
journal = {Metabolites},
number = 1,
volume = 8,
place = {United States},
year = {Thu Jan 04 00:00:00 EST 2018},
month = {Thu Jan 04 00:00:00 EST 2018}
}

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Works referenced in this record:

Construction of an E. Coli genome-scale atom mapping model for MFA calculations
journal, February 2011

  • Ravikirthi, Prabhasa; Suthers, Patrick F.; Maranas, Costas D.
  • Biotechnology and Bioengineering, Vol. 108, Issue 6
  • DOI: 10.1002/bit.23070

Synthetic and systems biology for microbial production of commodity chemicals
journal, April 2016

  • Chubukov, Victor; Mukhopadhyay, Aindrila; Petzold, Christopher J.
  • npj Systems Biology and Applications, Vol. 2, Issue 1
  • DOI: 10.1038/npjsba.2016.9

Metabolic Flux Balancing: Basic Concepts, Scientific and Practical Use
journal, October 1994


13C Metabolic Flux Analysis for Systematic Metabolic Engineering of S. cerevisiae for Overproduction of Fatty Acids
journal, October 2016

  • Ghosh, Amit; Ando, David; Gin, Jennifer
  • Frontiers in Bioengineering and Biotechnology, Vol. 4
  • DOI: 10.3389/fbioe.2016.00076

Advances in analysis of microbial metabolic fluxes via 13 C isotopic labeling
journal, March 2009

  • Tang, Yinjie J.; Martin, Hector Garcia; Myers, Samuel
  • Mass Spectrometry Reviews, Vol. 28, Issue 2
  • DOI: 10.1002/mas.20191

Optlang: An algebraic modeling language for mathematical optimization
journal, January 2017

  • Jensen, Kristian; G. R. Cardoso, Joao; Sonnenschein, Nikolaus
  • The Journal of Open Source Software, Vol. 2, Issue 9
  • DOI: 10.21105/joss.00139

An expanded genome-scale model of Escherichia coli K-12 (iJR904 GSM/GPR)
journal, August 2003

  • Reed, Jennifer L.; Vo, Thuy D.; Schilling, Christophe H.
  • Genome Biology, Vol. 4, Issue 9, p. R54
  • DOI: 10.1186/gb-2003-4-9-r54

Analysis of optimality in natural and perturbed metabolic networks
journal, November 2002

  • Segre, D.; Vitkup, D.; Church, G. M.
  • Proceedings of the National Academy of Sciences, Vol. 99, Issue 23
  • DOI: 10.1073/pnas.232349399

Reaction Decoder Tool (RDT): extracting features from chemical reactions
journal, February 2016


The Activity Reaction Core and Plasticity of Metabolic Networks
journal, January 2005

  • Almaas, Eivind; Oltvai, Zoltán N.; Barabási, Albert-László
  • PLoS Computational Biology, Vol. 1, Issue 7
  • DOI: 10.1371/journal.pcbi.0010068

Efficient Extraction of Mapping Rules of Atoms from Enzymatic Reaction Data
journal, March 2004


Metabolic networks in motion: 13 C‐based flux analysis
journal, January 2006


Incorporating metabolic flux ratios into constraint-based flux analysis by using artificial metabolites and converging ratio determinants
journal, May 2007


Refining carbon flux paths using atomic trace data
journal, November 2013


Linking high-resolution metabolic flux phenotypes and transcriptional regulation in yeast modulated by the global regulator Gcn4p
journal, April 2009

  • Moxley, J. F.; Jewett, M. C.; Antoniewicz, M. R.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 16
  • DOI: 10.1073/pnas.0811091106

13C-based metabolic flux analysis of Saccharomyces cerevisiae with a reduced Crabtree effect
journal, August 2015

  • Kajihata, Shuichi; Matsuda, Fumio; Yoshimi, Mika
  • Journal of Bioscience and Bioengineering, Vol. 120, Issue 2
  • DOI: 10.1016/j.jbiosc.2014.12.014

13C metabolic flux analysis at a genome-scale
journal, November 2015


A Method to Constrain Genome-Scale Models with 13C Labeling Data
journal, September 2015

  • García Martín, Héctor; Kumar, Vinay Satish; Weaver, Daniel
  • PLOS Computational Biology, Vol. 11, Issue 9
  • DOI: 10.1371/journal.pcbi.1004363

Multidimensional Optimality of Microbial Metabolism
journal, May 2012


Accurate Atom-Mapping Computation for Biochemical Reactions
journal, October 2012

  • Latendresse, Mario; Malerich, Jeremiah P.; Travers, Mike
  • Journal of Chemical Information and Modeling, Vol. 52, Issue 11
  • DOI: 10.1021/ci3002217

Metabolic flux analysis inEscherichia coli by integrating isotopic dynamic and isotopic stationary13C labeling data
journal, January 2008

  • Schaub, Jochen; Mauch, Klaus; Reuss, Matthias
  • Biotechnology and Bioengineering, Vol. 99, Issue 5
  • DOI: 10.1002/bit.21675

Synergy between 13C-metabolic flux analysis and flux balance analysis for understanding metabolic adaption to anaerobiosis in E. coli
journal, January 2011


The JBEI quantitative metabolic modeling library (jQMM): a python library for modeling microbial metabolism
journal, April 2017


ForceAtlas2, a Continuous Graph Layout Algorithm for Handy Network Visualization Designed for the Gephi Software
journal, June 2014


13C Metabolic Flux Analysis
journal, July 2001


What is flux balance analysis?
journal, March 2010

  • Orth, Jeffrey D.; Thiele, Ines; Palsson, Bernhard Ø
  • Nature Biotechnology, Vol. 28, Issue 3
  • DOI: 10.1038/nbt.1614

Optimization by Simulated Annealing
journal, May 1983


The model organism as a system: integrating 'omics' data sets
journal, March 2006

  • Joyce, Andrew R.; Palsson, Bernhard Ø.
  • Nature Reviews Molecular Cell Biology, Vol. 7, Issue 3
  • DOI: 10.1038/nrm1857

Systematic evaluation of objective functions for predicting intracellular fluxes in Escherichia coli
journal, January 2007

  • Schuetz, Robert; Kuepfer, Lars; Sauer, Uwe
  • Molecular Systems Biology, Vol. 3, Issue 1
  • DOI: 10.1038/msb4100162

Metabolic functions of duplicate genes in Saccharomyces cerevisiae
journal, September 2005


Engineering Cellular Metabolism
journal, March 2016


Integrating quantitative proteomics and metabolomics with a genome-scale metabolic network model
journal, June 2010


Bow ties, metabolism and disease
journal, September 2004


Atom mapping with constraint programming
journal, November 2014

  • Mann, Martin; Nahar, Feras; Schnorr, Norah
  • Algorithms for Molecular Biology, Vol. 9, Issue 1
  • DOI: 10.1186/s13015-014-0023-3

COBRApy: COnstraints-Based Reconstruction and Analysis for Python
journal, January 2013

  • Ebrahim, Ali; Lerman, Joshua A.; Palsson, Bernhard O.
  • BMC Systems Biology, Vol. 7, Issue 1
  • DOI: 10.1186/1752-0509-7-74

13C Metabolic Flux Analysis
journal, July 2001


Engineering Cellular Metabolism
journal, March 2016


Bow ties, metabolism and disease
journal, September 2004


Accurate Atom-Mapping Computation for Biochemical Reactions
journal, October 2012

  • Latendresse, Mario; Malerich, Jeremiah P.; Travers, Mike
  • Journal of Chemical Information and Modeling, Vol. 52, Issue 11
  • DOI: 10.1021/ci3002217

Systematic evaluation of objective functions for predicting intracellular fluxes in Escherichia coli
journal, January 2007

  • Schuetz, Robert; Kuepfer, Lars; Sauer, Uwe
  • Molecular Systems Biology, Vol. 3, Issue 1
  • DOI: 10.1038/msb4100162

Linking high-resolution metabolic flux phenotypes and transcriptional regulation in yeast modulated by the global regulator Gcn4p
journal, April 2009

  • Moxley, J. F.; Jewett, M. C.; Antoniewicz, M. R.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 16
  • DOI: 10.1073/pnas.0811091106

Integrating quantitative proteomics and metabolomics with a genome-scale metabolic network model
journal, June 2010


Reaction Decoder Tool (RDT): extracting features from chemical reactions
journal, February 2016


COBRApy: COnstraints-Based Reconstruction and Analysis for Python
journal, January 2013

  • Ebrahim, Ali; Lerman, Joshua A.; Palsson, Bernhard O.
  • BMC Systems Biology, Vol. 7, Issue 1
  • DOI: 10.1186/1752-0509-7-74