The DOI matches its Crossref record; 22 of the 23 references it cites were found in a registry or an index.
Escherichia coli K-12 undergoes adaptive evolution to achieve in silico predicted optimal growth
Abstract
Annotated genome sequences can be used to reconstruct whole-cell metabolic networks. These metabolic networks can be modelled and analysed (computed) to study complex biological functions. In particular, constraints-based in silico models have been used to calculate optimal growth rates on common carbon substrates, and the results were found to be consistent with experimental data under many but not all conditions. Optimal biological functions are acquired through an evolutionary process. Thus, incorrect predictions of in silico models based on optimal performance criteria may be due to incomplete adaptive evolution under the conditions examined. Escherichia coli K-12 MG1655 grows sub-optimally on glycerol as the sole carbon source. Here we show that when placed under growth selection pressure, the growth rate of E. coli on glycerol reproducibly evolved over 40 days, or about 700 generations, from a sub-optimal value to the optimal growth rate predicted from a whole-cell in silico model. These results open the possibility of using adaptive evolution of entire metabolic networks to realize metabolic states that have been determined a priori based on in silico analysis.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Whereas small-scale cultivations and initial engineering steps are often performed in complex media in batch culture, during the scale-up of the process, cells are exposed to altered environmental conditions and environmental stress regimes [57,58].”
From Adaptive laboratory evolution—Principles and applications for biotechnology (2013) · cites this paper as [57]
Citations
Cites
The complete genome sequence of Escherichia coli K-12.
Blattner, F., Plunkett, G., Bloch, C., Perna, N., Burland, V., Riley, M., Collado-Vides, J., Glasner, J. D., Rode, C., Mayhew, G., et al. (1997) · Science · doi:10.1126/science.277.5331.1453 · Cited by 7,996
Understanding the control of metabolism
(1997) · Choice Reviews Online · doi:10.5860/choice.34-6252 · Cited by 1,230
Varma, A., & Palsson, B. Ø. (1994) · Applied and Environmental Microbiology · doi:10.1128/aem.60.10.3724-3731.1994 · Cited by 1,058
Self-citationSchuster, S., Fell, D. A., & Dandekar, T. (2000) · Nature Biotechnology · doi:10.1038/73786 · Cited by 947
Metabolic Flux Balancing: Basic Concepts, Scientific and Practical Use
Varma, A., & Palsson, B. Ø. (1994) · Nature Biotechnology · doi:10.1038/nbt1094-994 · Cited by 945
Self-citationEdwards, J. S., Ibarra, R. U., & Palsson, B. Ø. (2001) · Nature Biotechnology · doi:10.1038/84379 · Cited by 941
Self-citationEdwards, J. S., & Palsson, B. O. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.97.10.5528 · Cited by 875
Self-citationE-CELL: software environment for whole-cell simulation
Tomita, M., Hashimoto, K., Takahashi, K., Shimizu, T. S., Matsuzaki, Y., Miyoshi, F., Saito, K., Tanida, S., Yugi, K., Venter, J. C., et al. (1999) · Bioinformatics · doi:10.1093/bioinformatics/15.1.72 · Cited by 764
Karp, P. D. (2002) · Nucleic Acids Research · doi:10.1093/nar/30.1.56 · Cited by 453
WIT: integrated system for high-throughput genome sequence analysis and metabolic reconstruction
Overbeek, R. (2000) · Nucleic Acids Research · doi:10.1093/nar/28.1.123 · Cited by 386
Flagged first, then by citations
1 of the 23 references couldn’t be matched to a known paper.
Research works printed but not linked: 1
- Edwards, J. S., Ramakrishna, R., Schilling, C. H. & Palsson, B. O. Metabolic Engineering (eds Lee, S. Y. and Papoutsakis, E. T.) (Marcel Dekker, New York, 1999)
Cited by
Sorted by citations
Items 601–700 of 856
Prokaryotic life finds a way: insights from evolutionary experimentation in bacteria
Connolly, J. P. R., Roe, A. J., & O’Boyle, N. (2020) · Critical Reviews in Microbiology · doi:10.1080/1040841x.2020.1854172 · Cited by 5
“E. coli K-12 str. MG1655 displays an inherently poor growth rate in minimal medium with glycerol as a sole carbon source, despite possessing a complete glycerol catabolism pathway (Ibarra et al. 2002).”
BackgroundThe effect of natural selection on the propagation of protein expression noise to bacterial growth
Krah, L. H. J., & Hermsen, R. (2021) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1009208 · Cited by 6
“In certain fixed environments, adaptive mutants arise with higher growth rates, indicating that the wild-type growth rate is not optimal yet [40].”
Pyruvate metabolism in rat liver mitochondria
Stucki, J. W., & Urbanczik, R. (2005) · FEBS Journal · doi:10.1111/j.1742-4658.2005.05005.x · Cited by 6
“One might then ask under which conditions there is maximal growth [ 4 -7 ] or maximal production of ethanol for example.”
BackgroundMethodUse of the flux model of amino acid metabolism of Escherichia coli
Lyubetskaya, A., Израилевич, Р. Л., & Gelfand, M. S. (2006) · Biochemistry (Moscow) · doi:10.1134/s0006297906110113 · Cited by 6
Systems Biotechnology: an Energing Trend in Metabolic Engineering of Industrial Microorganisms
Chellapandi, P. (2010) · Journal of Computer Science & Systems Biology · doi:10.4172/jcsb.1000054 · Cited by 6
“The in silico model has also been used to predict the metabolic adaptation to several environmental perturbations including nitrogen limitation, electron acceptor limitation and phosphate limitation (Ibarra et al., 2002; dos Santos et al., 2003; Smid et al., 2005).”
MethodBoyle, N. R., Shastri, A. A., & Morgan, J. A. (2008) · Springer eBooks · doi:10.1007/978-0-387-78745-9_8 · Cited by 6
Identification of Genome-Scale Metabolic Network Models Using Experimentally Measured Flux Profiles
Herrgård, M. J., Fong, S. S., & Palsson, B. Ø. (2005) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0020072.eor · Cited by 6
Self-citationTkačik, G. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1006.4291 · Cited by 6
“For example, in the metabolic pathway of Escherichia coli, the function that “given the level of nutrients, the bacteria should maximize the growth rate” can be mathematically formulated and actually leads to verifiable predictions about the network architecture (Ibarra et al, 2002).”
BackgroundIn Silico Metabolic Network Reconstruction of Scheffersomyces Stipitis
Li, P. Y. (2012) · TSpace (University of Toronto) · Cited by 6
Computational Modeling of Microbial Communities
Chan, S. H. J., Simons, M., & Maranas, C. D. (2017) · Systems Biology · doi:10.1002/9783527696130.ch6 · Cited by 6
Genome-scale metabolic modelling in antimicrobial pharmacology: Present and future
Tao, J., Lin, Y.-W., Zhong, L., Zhu, Y., Yao, X., Aichem, M., Schreiber, F., Zhao, J., & Li, J. (2025) · Advanced Drug Delivery Reviews · doi:10.1016/j.addr.2025.115672 · Cited by 5
Vezina, B., Cooper, H. B., Barlow, C. K., Rethoret-Pasty, M., Brisse, S., Monk, J. M., Holt, K. E., & Wyres, K. L. (2025) · PLoS Biology · doi:10.1371/journal.pbio.3003559 · Cited by 15
“Two experiments were performed: i) endpoint OD 600 at 24-and 48-hours; ii) 3-day substrate coaxing to induce gene expression [69] for predicted false-negative growth results in the endpoint experiment.”
Serial adaptive laboratory evolution enhances mixed carbon metabolic capacity of Escherichia coli
Kim, K., Choe, D., Kang, M., Cho, S.-H., Cho, S., Jeong, K. J., Palsson, B. Ø., & Cho, B. (2024) · Metabolic Engineering · doi:10.1016/j.ymben.2024.04.004 · Cited by 6
Self-citationNonlethal deleterious mutation–induced stress accelerates bacterial aging
Kohram, M., Sanderson, A. E., Loui, A., Thompson, P. V., Vashistha, H., Shomar, A., Oltvai, Z. N., & Salman, H. (2024) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2316271121 · Cited by 4
Dynamic metabolic models in context: biomass backtracking
Tummler, K., Kühn, C., & Klipp, E. (2015) · Integrative Biology · doi:10.1039/c5ib00050e · Cited by 5
Rajvanshi, M., Gayen, K., & Venkatesh, K. V. (2013) · Systems and Synthetic Biology · doi:10.1007/s11693-013-9107-5 · Cited by 4
“Industrially lysine is produced from C. glutamicum through aspartate biosynthetic pathway, where enzymatic activity of aspartate kinase is allosterically controlled by the concerted feedback inhibition of threonine plus lysine.”
BackgroundMethodExperimental Evolution of Trichoderma citrinoviride for Faster Deconstruction of Cellulose
Lin, H., Travisano, M., & Kazlauskas, R. J. (2016) · PLoS ONE · doi:10.1371/journal.pone.0147024 · Cited by 5
“In contrast, the experimental evolution approach selects for stable solutions [15].”
BackgroundSystems biology and food microbiology
Brul, S., & Westerhoff, H. V. (2007) · Elsevier eBooks · doi:10.1533/9781845692940.2.250 · Cited by 5
Metabolic engineering in silico
Likhoshvai, V. A., Khlebodarova, T. M., Ree, M. T., & Kolchanov, N. A. (2010) · Applied Biochemistry and Microbiology · doi:10.1134/s0003683810070021 · Cited by 5
Ma, H., & Zeng, A. (2006) · Elsevier eBooks · doi:10.1016/b978-012088786-6/50028-9 · Cited by 5
OPTIMAL SELECTION OF ENZYME LEVELS USING LARGE-SCALE KINETIC MODELS
Nikolaev, E. V., Pharkya, P., Maranas, C. D., & Armaou, A. (2005) · IFAC Proceedings Volumes · doi:10.3182/20050703-6-cz-1902.02208 · Cited by 5
Gawand, P., Abukar, F. S., Venayak, N., Partow, S., Motter, A. E., & Mahadevan, R. (2015) · Integrative Biology · doi:10.1039/c5ib00096c · Cited by 5
Leonard, E., Fowler, Z. L., & Koffas, M. A. G. (2007) · Cell engineering · doi:10.1007/1-4020-5252-9_10 · Cited by 5
Mapping high-growth phenotypes in the flux space of microbial metabolism
Güell, O., Massucci, F. A., Font-Clos, F., Sagués, F., & Serrano, M. Á. (2015) · Journal of The Royal Society Interface · doi:10.1098/rsif.2015.0543 · Cited by 4
“This metabolic behaviour is consistent with experimental data [43,36,1], but it is unreachable by FBA models based on optimality principles (unless optimization is accompanied by auxiliary constraints not assumed in standard FBA implementations, such as the solvent capacity constraint [42], or by modelization beyond s…”
BackgroundMethodInfluentialMetabolic Flux Analysis for Escherichia coli by Flux Balance Analysis
Matsuoka, Y., & Shimizu, K. (2014) · Methods in molecular biology · doi:10.1007/978-1-4939-1170-7_15 · Cited by 4
Detection of Evolution and Adaptation Fingerprints in Metabolic Networks
Güell, O. (2017) · Springer theses · doi:10.1007/978-3-319-64000-6_5 · Cited by 4
Limitations of entropy maximization in ecology
Haegeman, B., & Loreau, M. (2008) · Oikos · doi:10.1111/j.0030-1299.2008.16539.x · Cited by 4
E. coli metabolomics: capturing the complexity of a “simple” model
Robert, M., Soga, T., & Tomita, M. (2007) · Topics in current genetics · doi:10.1007/4735_2007_0221 · Cited by 4
“coli metabolic network has evolved to principally optimize growth (Ibarra et al. 2002).”
BackgroundMethodHala, D. N., Petersen, L. H., Martinović‐Weigelt, D., & Huggett, D. B. (2015) · Systems Biology in Reproductive Medicine · doi:10.3109/19396368.2015.1035817 · Cited by 4
On the Mechanism of the Respiratory Complex I
Friedrich, T., Hellwig, P., & Einsle, O. (2012) · Springer eBooks · doi:10.1007/978-94-007-4138-6_2 · Cited by 4
Metabolic constraints for a novel symbiosis
Sørensen, M., Cameron, D. D., Brockhurst, M. A., & Wood, A. J. (2016) · Royal Society Open Science · doi:10.1098/rsos.150708 · Cited by 4
“Despite its simplifying assumptions, FBA has significant applications in biotechnology [29] and in several cases has successfully predicted the outcome of evolution experiments [23,30,31].”
BackgroundNoll, K. M. (2006) · Springer eBooks · doi:10.1007/1-84628-207-1_9 · Cited by 4
Optimal growth entails risky localization in population dynamics
Gueudré, T., & Martin, D. G. (2018) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/121/68005 · Cited by 4
“[8] Rafael U Ibarra, Jeremy S Edwards, and Bernhard O Palsson.”
BackgroundPoelwijk, F. J., Kiviet, D. J., & Tans, S. J. (2005) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0020058.eor · Cited by 4
Exploring the Cellular Objective in Flux Balance Constraint-Based Models
Costa, R. S., Nguyen, S., Hartmann, A., & Vinga, S. (2014) · Lecture notes in computer science · doi:10.1007/978-3-319-12982-2_15 · Cited by 4
Chromokinetics of metabolic pathways
Stucki, J. W. (2004) · European Journal of Biochemistry · doi:10.1111/j.1432-1033.2004.04203.x · Cited by 4
To Grow or Not to Grow: Isolation and Cultivation Procedures in the Genomic Age
Zengler, K. (2013) · Wiley eBooks · doi:10.1002/9781118409855.ch12 · Cited by 4
Cell biology: Networks, regulation, pathwaysPreprint
Tkačik, G., & Bialek, W. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0712.4385 · Cited by 5
“These chemical constraints go beyond topology and can yield strong and testable predictions; for example, Ibarra et al. (2002) have shown how computationally maximizing the growth rate of Escherichia coli within the space of allowed solutions given by flux balance constraints can correctly predict…”
BackgroundMethodResultA control-theoretic approach to dynamic optimization of metabolic networks
Oyarz, D. A. (2010) · Cited by 4
van Duuren, J. B. J. H. (2011) · doi:10.18174/176647 · Cited by 4
The genetics of phenotypic innovation
Beaumont, H. J. E., Gehrig, S. M., Kassen, R., Cg, K., Malone, J. G., Spiers, A. J., & Rainey, P. B. (2006) · Cambridge University Press eBooks · doi:10.1017/cbo9780511754913.006 · Cited by 4
Balakrishnan, R., Terence Hwa, B., & Cremer, J. (2021) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2021.04.28.441780 · Cited by 4
Metabolic Adaptation Processes That Converge to Optimal Biomass Flux Distributions
Altafini, C., & Facchetti, G. (2015) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1004434 · Cited by 3
“From the experimental data one can deduce for instance that the FBA criterion is inadequate to describe the transient response, but that it can still be used to characterize the end-point of the metabolic adaptation [4, 6].”
BackgroundDependency of Cellular Decision Making in Physiology and Influence of Preceding Growth Conditions
Puranik, S., & Purohit, H. J. (2014) · Applied Biochemistry and Biotechnology · doi:10.1007/s12010-014-1167-9 · Cited by 3
A CONSTRAINT-BASED STOICHIOMETRIC MODEL OF THE STEROIDOGENIC NETWORK OF ZEBRAFISH (DANIO RERIO)
Hala, D. N., Amin, A., Mikler, A. R., & Huggett, D. B. (2010) · Journal of Biological Systems · doi:10.1142/s0218339010003469 · Cited by 3
An integrated framework for strain optimization
Maia, P., Rocha, I., & Rocha, M. (2013) · IEEE Congress on Evolutionary Computation (CEC) · doi:10.1109/cec.2013.6557571 · Cited by 3
Yazdanpanah, S., Motamedian, E., & Shojaosadati, S. A. (2023) · PLoS ONE · doi:10.1371/journal.pone.0292433 · Cited by 3
“Several studies have been done to investigate the physiological state of evolved strains at the endpoint of adaptive evolution under diverse growth conditions, such as growth on different carbon sources [11,12] and study of the growth improvement of single-gene knockout strains [13] using flux balance analysis (FBA).”
BackgroundNolen, R. M., Petersen, L. H., Kaiser, K., Quigg, A. S., & Hala, D. N. (2024) · Frontiers in Systems Biology · doi:10.3389/fsysb.2024.1367562 · Cited by 3
Reconstruction and Analysis of a Genome-Scale Metabolic Model of Acinetobacter lwoffii
Xu, N., Zuo, J., Li, C., Gao, C., & Guo, M. (2024) · International Journal of Molecular Sciences · doi:10.3390/ijms25179321 · Cited by 3
“Adaptive laboratory evolution could overcome this barrier and enable in silico growth on glycerol MM medium [25].”
BackgroundMethodAcetol biosynthesis enables NADPH balance during nitrogen limitation in engineered Escherichia coli
Sudarsan, S., Demling, P., Özdemir, E., Ammar, A. B., Mennicken, P., Buescher, J. M., Meurer, G., Ebert, B. E., & Blank, L. M. (2025) · Microbial Cell Factories · doi:10.1186/s12934-025-02687-z · Cited by 3
“To valorize glycerol by using it as the sole carbon source, its uptake rate has to be high, which is often achieved by adaptive laboratory evolution (ALE) in E . coli [12, 13] and S . cerevisiae [14, 15].”
Chen, H., Cheng, Y., Liang, X., Meng, J., Zuo, H., Su, L.-Y., Wang, X.-X., Yang, C.-B., & Luan, R. (2018) · Infection Genetics and Evolution · doi:10.1016/j.meegid.2018.10.012 · Cited by 3
Genome-Scale Reconstruction, Modeling, and Simulation of E. coli℉s Metabolic Network
Feist, A. M., Thiele, I., & Palsson, B. Ø. (2009) · Springer eBooks · doi:10.1007/978-1-4020-9394-4_9 · Cited by 3
“This reconstruction, later titled iJE660, was initially used to:Predict the phenotypes for knock-out mutants of the central metabolic pathways (Edwards and Palsson 2000), Design quantitative experiments (Edwards et al. 2001), and Predict the outcome of adaptive evolution in the context of the metabolic machinery avail…”
MethodSelf-citationRate and accuracy of messenger RNA translation on the ribosome
Johansson, M., Ieong, K.-W., Åqvist, J., Pavlov, M. Y., & Ehrenberg, M. (2011) · Springer eBooks · doi:10.1007/978-3-7091-0215-2_18 · Cited by 3
Phenotypic constraints promote latent versatility and carbon efficiency in metabolic networks
Bardoscia, M., Matteo Marsili, A., & Samal, A. (2015) · Physical Review E · doi:10.1103/physreve.92.012809 · Cited by 3
Optimality and thermodynamics determine the evolution of transcriptional regulatory networks
Avila-Elchiver, M., Nagrath, D., & Yarmush, M. L. (2011) · Molecular BioSystems · doi:10.1039/c1mb05177f · Cited by 3
Comparison of metabolite production capability indices generated by network analysis methods
Ishii, K., Nakamura, S., Morohashi, M., Sugimoto, M., Ohashi, Y., Kikuchi, S., & Tomita, M. (2007) · Biosystems · doi:10.1016/j.biosystems.2007.08.010 · Cited by 3
Reconstruction of Local Biochemical Reaction Network Based on Human Chromosome 9 Sequence Data
Chen, B. (2011) · Journal of Proteomics & Bioinformatics · doi:10.4172/jpb.1000172 · Cited by 3
“Such in silico models have enabled hypothesis-driven biology, including the prediction of the outcome of adaptive evolution [6-10] and the identification and discovery of candidates for missing metabolic functions that were subsequently experimentally verified [11].”
BackgroundThe space of feasible solutions in metabolic networks
Braunstein, A., Mulet, R., & Pagnani, A. (2008) · Journal of Physics Conference Series · doi:10.1088/1742-6596/95/1/012017 · Cited by 3
The effects of near optimal growth solutions in genome-scale human cancer metabolic model
Tzamali, E., Sakkalis, V., & Kostas Marias, A. (2012) · IEEE International Conference on Bioinformatics and Bioengineering (BIBE) · doi:10.1109/bibe.2012.6399774 · Cited by 3
“Sub-optimal solutions have been observed to describe the metabolic capabilities of microorganisms under environmental stress and in the absence of sufficient evolutionary pressure [33] indicating that it is not unexpected for biological systems including cancer to show variability around optimal growth solutions.”
BackgroundOptimization‐based metabolic control analysis
Uygun, K., Uygun, B. E., Matthew, H. W. T., & Huang, Y. (2010) · Biotechnology Progress · doi:10.1002/btpr.482 · Cited by 3
Sauer, U. (2007) · EcoSal Plus · doi:10.1128/ecosal.3.1.1 · Cited by 3
Modelling metabolic evolution on phenotypic fitness landscapes: a case study on C4 photosynthesis
Heckmann, D. (2015) · Biochemical Society Transactions · doi:10.1042/bst20150148 · Cited by 3
System Biology to Access Target Relevance in the Research and Development of Molecular Inhibitors
Catharina, L., de Menezes, M. A., & Carels, N. (2018) · Computational biology · doi:10.1007/978-3-319-74974-7_12 · Cited by 3
Metabolic networks: biology meets engineering sciences
Kremling, A., Stelling, J., Bettenbrock, K., Fischer, S., & Gilles, E. D. (2005) · Springer eBooks · doi:10.1007/4735_88 · Cited by 3
“Model-based analyses of metabolic networks in bacteria already revealed parts of the control logic: whereas control at the level of fluxes ensures optimal growth for each particular situation the organism encounters (Ibarra et al. 2002), the control of metabolic gene expression seems to trade-off the efficiency in thi…”
BackgroundTHE ARCHITECTURE OF COMPLEXITY: FROM WWW TO CELLULAR METABOLISM
Almaas, E., & Barabási, A.-Ĺ. (2006) · Springer eBooks · doi:10.1007/1-4020-5030-5_7 · Cited by 3
Topping Off a Multiscale Balancing Act
Lerman, J. A., & Palsson, B. Ø. (2010) · Science · doi:10.1126/science.1199353 · Cited by 3
Self-citationStructural analysis of inference problems arising in systems biology
Uhr, M. (2012) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-a-007161203 · Cited by 3
“[36] who were able to show that the model organism E.”
BackgroundImproving Designer Glycan Production in Escherichia coli through Model-Guided Metabolic EngineeringPreprint
Wayman, J. A., Glasscock, C. J., Mansell, T. J., DeLisa, M. P., & Varner, J. D. (2017) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/160853 · Cited by 4
Model driven analysis of Escherichia coli metabolism
Reed, J. L. (2005) · eScholarship (California Digital Library) · Cited by 3
Automated high-quality reconstruction of metabolic networks from high-throughput dataPreprint
Hartleb, D., Fritzemeier, C. J., & Lercher, M. J. (2018) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/282251 · Cited by 3
“Genome-scale metabolic models have been reconstructed for a wide range of organisms (1); they have been used successfully to predict metabolic phenotypes of prokaryotic and eukaryotic cells, in applications ranging from evolutionary studies (2-4) to bioengineering designs (5).”
MethodStatistical analysis and optimality of neural systemsPreprint
Młynarski, W. F., Hledík, M., Sokolowski, T. R., & Tkačik, G. (2019) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/848374 · Cited by 3
Metabolic flux analysis: A key methodology for systems biology of metabolism
Sauer, U. (2005) · Springer eBooks · doi:10.1007/b136810 · Cited by 3
Evaluating Simulated Annealing Algorithms in the Optimization of Bacterial Strains
Rocha, M., Mendes, R., Maia, P., Pinto, J. P., Rocha, I., & Ferreira, E. C. (2007) · Springer eBooks · doi:10.1007/978-3-540-77002-2_40 · Cited by 3
“The most common flux chosen for maximization is the biomass, based on the premise that microorganisms have maximized their growth along natural evolution, a premise that has been confirmed experimentally in some cases [6].”
BackgroundDynamic metabolic modelling of ATP allocation during viral infection
̃lu, A. H. ̃., Kelley, L. P., Dukovski, I., & Segrè, D. (2026) · Journal of The Royal Society Interface · doi:10.1098/rsif.2025.0254 · Cited by 2
Constraints based analysis of extended cybernetic models
Mandli, A. R., Venkatesh, K. V., & Modak, J. M. (2015) · Biosystems · doi:10.1016/j.biosystems.2015.09.001 · Cited by 2
Imbalance and balancing: Development of ecological flow networks
Haruna, T., & Gunji, Y.-P. (2008) · Ecological Complexity · doi:10.1016/j.ecocom.2008.11.003 · Cited by 2
Metabolomics and flux balance analysis
Narad, P., Naresh, G., & Sengupta, A. (2021) · Elsevier eBooks · doi:10.1016/b978-0-323-89775-4.00008-0 · Cited by 2
Conventional flux balance analysis and its applications
Shimizu, K. (2013) · Elsevier eBooks · doi:10.1533/9781908818201.215 · Cited by 2
Sensory Transduction Network of E. coli
Galperin, M. Y. (2009) · Springer eBooks · doi:10.1007/978-1-4020-9394-4_8 · Cited by 3
Verwoerd, W. S., & Mao, L. (2014) · Simulation foundations, methods and applications · doi:10.1007/978-3-319-05657-9_11 · Cited by 2
Adel, M., Ali, G., & Mohammad, T. (2011) · International Journal of Computer Applications · Cited by 2
Robust Analysis of Metabolic Pathways
Gruber, E., Ko, A., MacGillvray, M., & Sawyer, M. (2012) · Rose-Hulman Scholar (Rose–Hulman Institute of Technology) · Cited by 2
Liu, H., Li, Y., & Wang, X. (2015) · Quantitative Biology · doi:10.1007/s40484-014-0033-7 · Cited by 2
“According to the adaptive evolution experiments [35,36], we chose the default minimum permitted percentage of wild type biomass to be 90%.”
MethodOptimization of Bacterial Strains with Variable-Sized Evolutionary Algorithms
Rocha, M., Pinto, J. P., Rocha, I., & Ferreira, E. C. (2007) · IEEE Conference on Computational Intelligence in Bioinformatics and Computational Biology (CIBCB) · doi:10.1109/cibcb.2007.4221241 · Cited by 2
Algebraic Method for the Analysis of Signaling Crosstalk
Matsubara, Y. J., Kikuchi, S., Sugimoto, M., Oka, K., & Tomita, M. (2008) · Artificial Life · doi:10.1162/artl.2008.14.1.81 · Cited by 2
“The constraints-based approach, one of the above approaches in systems biology, requires only the information of stoichiometry of reactions and mass balances for the metabolites under a steadystate assumption, and it has been applied to the analysis of large-scale metabolic networks [18, 21, 35, 36, 38, 40, 41].”
MethodResearch Needs for Bioaugmentation
Hug, L. A., Edwards, E. A., Vrionis, H. A., & Major, D. W. (2012) · Springer eBooks · doi:10.1007/978-1-4614-4115-1_12 · Cited by 3
Brochado, A. R., & Patil, K. R. (2014) · Methods in molecular biology · doi:10.1007/978-1-4939-0563-8_17 · Cited by 2
Xie, Z., Zhang, T., & Ouyang, Q. (2017) · Bioinformatics · doi:10.1093/bioinformatics/btx574 · Cited by 2
Environmental versatility promotes modularity in genome-scale metabolic networks
Samal, A., Wagner, A., & Martin, O. (2011) · Zurich Open Repository and Archive (University of Zurich) · doi:10.48550/arxiv.1108.4951 · Cited by 2
“(Such mis-regulation can be sometimes eliminated during laboratory evolution experiments [37,39], if growth rate maximization is the sole objective of the experiment.”
BackgroundResultPredicting Evolutionary Constraints by Identifying Conflicting Demands in Regulatory Networks
Kogenaru, M., Nghe, P., Poelwijk, F. J., & Tans, S. J. (2020) · Cell Systems · doi:10.1016/j.cels.2020.05.004 · Cited by 3
Reconstruction of Genome-Scale Metabolic Networks
Hefzi, H., Palsson, B. Ø., & Lewis, N. E. (2012) · Elsevier eBooks · doi:10.1016/b978-0-12-385944-0.00012-5 · Cited by 2
Self-citationIdentification of robust strain designs via tandem pFBA/LMOMA phenotype prediction
Maia, P., Rocha, I., & Rocha, M. (2017) · Genetic and Evolutionary Computation Conference Companion (GECCO Companion) · doi:10.1145/3067695.3082542 · Cited by 2
“…phenotype prediction algorithm, that uses a linear programming (LP) formulation for the maximization of growth (synthesis of biomass constituents) as the objective function, considering the biological assumption that unicellular organisms tend to maximize their growth as an evolutionary trend [6].”
MethodScalable computation and analysis of elementary flux modes in metabolic networks
Jevremović, D. (2013) · University of Minnesota Digital Conservancy (University of Minnesota) · Cited by 2
Knight, J. (2003) · Nature · doi:10.1038/426709 · Cited by 2
Fong, S. S., Joyce, A. R., & Palsson, B. Ø. (2005) · Nature Chemical Biology · doi:10.1038/nchembio0905-191 · Cited by 2
Self-citationNoise effect in metabolic networks
Zheng-Yan, L., Zheng-Wei, X., Tong, C., & Ouyang, Q. (2009) · Chinese Physics B · doi:10.1088/1674-1056/18/12/069 · Cited by 2
Sundermann, E. M., Lercher, M. J., & Heckmann, D. (2018) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/371096 · Cited by 2
“Metabolic efficiency is an important determinant of organismal fitness (Ibarra et al., 2002; Heckmann et al., 2013).”
BackgroundAn analytical theory of balanced cellular growthPreprint
Dourado, H., & Lercher, M. J. (2019) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/607374 · Cited by 2
Palsson, B. Ø. (2021) · Metabolic Engineering · doi:10.1002/9783527823468.ch2 · Cited by 2
Self-citationPereiro-Morejón, J. A., Fernández-de-Cossio-Díaz, J., & Mulet, R. (2021) · doi:10.22541/au.163561449.92473264/v1 · Cited by 2
Metadata
- Authors
- Ibarra, R. U., Edwards, J. S., & Palsson, B. O.
- Affiliations
- University of California San Diego (US)
- University of Delaware (US)
- ORCID
- Edwards, Jeremy S.
- Venue
- Nature
- Published
- 2002-11
- Volume
- 420
- Issue
- 6912
- Pages
- 186-189
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2025663053
- Cited by
- 857
- References
- 23
- Citations by year
- 2026: 11 · 2025: 11 · 2024: 22 · 2023: 21 · 2022: 17 · 2021: 27 · 2020: 23 · 2019: 29 · 2018: 34 · 2017: 42 · 2016: 44 · 2015: 34 · 2014: 46 · 2013: 41 · 2012: 51
- FWCI
- 12.89
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- National Science Foundation
- U.S. Department of Energy
- Istituto Superiore di Sanità
- National Institutes of Health
- Biological and Environmental Research
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Microbial Metabolic Engineering and Bioproduction
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
- Keywords
- Escherichia coli K-12, adaptive evolution, optimal growth rate, glycerol metabolism, constraint-based metabolic modeling, in silico prediction, metabolic network evolution, carbon source utilization
- MeSH terms
- Adaptation, Physiological, Carbon, Computer Simulation, Escherichia coli, Biological Evolution, Glucose, Glycerol, Kinetics, Malates, Models, Biological, Phenotype, Selection, Genetic, Genome, Bacterial, Computational Biology, Acetic Acid, Succinic Acid, Genomics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review