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Title: Stability of Ensemble Models Predicts Productivity of Enzymatic Systems

Abstract

Stability in a metabolic system may not be obtained if incorrect amounts of enzymes are used. Without stability, some metabolites may accumulate or deplete leading to the irreversible loss of the desired operating point. Even if initial enzyme amounts achieve a stable steady state, changes in enzyme amount due to stochastic variations or environmental changes may move the system to the unstable region and lose the steady-state or quasi-steady-state flux. This situation is distinct from the phenomenon characterized by typical sensitivity analysis, which focuses on the smooth change before loss of stability. Here we show that metabolic networks differ significantly in their intrinsic ability to attain stability due to the network structure and kinetic forms, and that after achieving stability, some enzymes are prone to cause instability upon changes in enzyme amounts. We use Ensemble Modelling for Robustness Analysis (EMRA) to analyze stability in four cell-free enzymatic systems when enzyme amounts are changed. Loss of stability in continuous systems can lead to lower production even when the system is tested experimentally in batch experiments. The predictions of instability by EMRA are supported by the lower productivity in batch experimental tests. Finally, the EMRA method incorporates properties of network structure, includingmore » stoichiometry and kinetic form, but does not require specific parameter values of the enzymes.« less

Authors:
 [1];  [2];  [3]
  1. Univ. of California, Los Angeles, Los Angeles, CA. (United States).Dept. of Bioengineering; Dept. of Chemical and Biomolecular Engineering
  2. Univ. of California, Los Angeles, Los Angeles, CA. (United States).Dept. of Chemical and Biomolecular Engineering
  3. Univ. of California, Los Angeles, Los Angeles, CA. (United States). UCLA-DOE Inst.; Dept. of Bioengineering; Dept. of Chemical and Biomolecular Engineering
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center on Nanostructuring for Efficient Energy Conversion (CNEEC); Univ. of California, Los Angeles, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER); National Science Foundation (NSF); UCLA-DOE Institute for Genomics and Proteomics
OSTI Identifier:
1264421
Grant/Contract Number:  
SC0012384; SC0001060; SC0008744
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
PLoS Computational Biology (Online)
Additional Journal Information:
Journal Volume: 12; Journal Issue: 3; Journal ID: ISSN 1553-7358
Publisher:
Public Library of Science
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; phosphofructokinase; thermodynamics; inhibition; hexokinase; glycolysis; metabolism; networks; pathways

Citation Formats

Theisen, Matthew K., Lafontaine Rivera, Jimmy G., and Liao, James C. Stability of Ensemble Models Predicts Productivity of Enzymatic Systems. United States: N. p., 2016. Web. doi:10.1371/journal.pcbi.1004800.
Theisen, Matthew K., Lafontaine Rivera, Jimmy G., & Liao, James C. Stability of Ensemble Models Predicts Productivity of Enzymatic Systems. United States. https://doi.org/10.1371/journal.pcbi.1004800
Theisen, Matthew K., Lafontaine Rivera, Jimmy G., and Liao, James C. 2016. "Stability of Ensemble Models Predicts Productivity of Enzymatic Systems". United States. https://doi.org/10.1371/journal.pcbi.1004800. https://www.osti.gov/servlets/purl/1264421.
@article{osti_1264421,
title = {Stability of Ensemble Models Predicts Productivity of Enzymatic Systems},
author = {Theisen, Matthew K. and Lafontaine Rivera, Jimmy G. and Liao, James C.},
abstractNote = {Stability in a metabolic system may not be obtained if incorrect amounts of enzymes are used. Without stability, some metabolites may accumulate or deplete leading to the irreversible loss of the desired operating point. Even if initial enzyme amounts achieve a stable steady state, changes in enzyme amount due to stochastic variations or environmental changes may move the system to the unstable region and lose the steady-state or quasi-steady-state flux. This situation is distinct from the phenomenon characterized by typical sensitivity analysis, which focuses on the smooth change before loss of stability. Here we show that metabolic networks differ significantly in their intrinsic ability to attain stability due to the network structure and kinetic forms, and that after achieving stability, some enzymes are prone to cause instability upon changes in enzyme amounts. We use Ensemble Modelling for Robustness Analysis (EMRA) to analyze stability in four cell-free enzymatic systems when enzyme amounts are changed. Loss of stability in continuous systems can lead to lower production even when the system is tested experimentally in batch experiments. The predictions of instability by EMRA are supported by the lower productivity in batch experimental tests. Finally, the EMRA method incorporates properties of network structure, including stoichiometry and kinetic form, but does not require specific parameter values of the enzymes.},
doi = {10.1371/journal.pcbi.1004800},
url = {https://www.osti.gov/biblio/1264421}, journal = {PLoS Computational Biology (Online)},
issn = {1553-7358},
number = 3,
volume = 12,
place = {United States},
year = {Thu Mar 10 00:00:00 EST 2016},
month = {Thu Mar 10 00:00:00 EST 2016}
}

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Cited by: 20 works
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Works referenced in this record:

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A synthetic gene–metabolic oscillator
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Structural kinetic modeling of metabolic networks
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Building carbon–carbon bonds using a biocatalytic methanol condensation cycle
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Glycolytic strategy as a tradeoff between energy yield and protein cost
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Regulation of Escherichia coli phosphofructokinase in situ
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Cooperation of glycolytic enzymes
journal, January 1969


Characterization and crystal structure of the thermophilic ROK hexokinase from Thermus thermophilus
journal, August 2012


In vitro production of n-butanol from glucose
journal, November 2013


Biochemical systems analysis
journal, December 1969


A synthetic gene–metabolic oscillator
journal, May 2005


Rethinking glycolysis: on the biochemical logic of metabolic pathways
journal, May 2012


A synthetic biochemistry molecular purge valve module that maintains redox balance
journal, June 2014


Structural kinetic modeling of metabolic networks
journal, July 2006


Glycolytic strategy as a tradeoff between energy yield and protein cost
journal, April 2013


Building carbon–carbon bonds using a biocatalytic methanol condensation cycle
journal, October 2014


Dual Mechanisms for Glucose 6-Phosphate Inhibition of Human Brain Hexokinase
journal, October 1999


Modular rate laws for enzymatic reactions: thermodynamics, elasticities and implementation
journal, April 2010


eQuilibrator--the biochemical thermodynamics calculator
journal, November 2011


Theoretical Approaches to the Evolutionary Optimization of Glycolysis. Chemical Analysis
journal, March 1997


Circadian Integration of Metabolism and Energetics
journal, December 2010


Lost in Transition: Start-Up of Glycolysis Yields Subpopulations of Nongrowing Cells
journal, January 2014


Effects of pulsatile delivery of insulin and glucagon in humans
journal, November 1989


Synthetic metabolic engineering-a novel, simple technology for designing a chimeric metabolic pathway
journal, January 2012


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Kinetic modeling of the Calvin cycle identifies flux control and stable metabolomes in Synechocystis carbon fixation
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Development of a core Clostridium thermocellum kinetic metabolic model consistent with multiple genetic perturbations
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Kinetic modeling of the Calvin cycle identifies flux control and stable metabolomes in Synechocystis carbon fixation
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Development of a core Clostridium thermocellum kinetic metabolic model consistent with multiple genetic perturbations
journal, May 2017