Modeling genome-wide enzyme evolution predicts strong epistasis underlying catalytic turnover rates
Abstract
Systems biology describes cellular phenotypes as properties that emerge from the complex interactions of individual system components. Little is known about how these interactions have affected the evolution of metabolic enzymes. Here, we combine genome-scale metabolic modeling with population genetics models to simulate the evolution of enzyme turnover numbers (kcats) from a theoretical ancestor with inefficient enzymes. This systems view of biochemical evolution reveals strong epistatic interactions between metabolic genes that shape evolutionary trajectories and influence the magnitude of evolved kcats. Diminishing returns epistasis prevents enzymes from developing higher kcats in all reactions and keeps the organism far from the potential fitness optimum. Multifunctional enzymes cause synergistic epistasis that slows down adaptation. The resulting fitness landscape allows kcat evolution to be convergent. Predicted kcat parameters show a significant correlation with experimental data, validating our modeling approach. Our analysis reveals how evolutionary forces shape modern kcats and the whole of metabolism.
- Authors:
-
- Univ. of California, San Diego, CA (United States)
- Univ. of California, San Diego, CA (United States); Technical Univ. of Denmark, Lyngby (Denmark)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1543751
- Grant/Contract Number:
- SC0008701
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 59 BASIC BIOLOGICAL SCIENCES
Citation Formats
Heckmann, David, Zielinski, Daniel C., and Palsson, Bernhard O. Modeling genome-wide enzyme evolution predicts strong epistasis underlying catalytic turnover rates. United States: N. p., 2018.
Web. doi:10.1038/s41467-018-07649-1.
Heckmann, David, Zielinski, Daniel C., & Palsson, Bernhard O. Modeling genome-wide enzyme evolution predicts strong epistasis underlying catalytic turnover rates. United States. https://doi.org/10.1038/s41467-018-07649-1
Heckmann, David, Zielinski, Daniel C., and Palsson, Bernhard O. Mon .
"Modeling genome-wide enzyme evolution predicts strong epistasis underlying catalytic turnover rates". United States. https://doi.org/10.1038/s41467-018-07649-1. https://www.osti.gov/servlets/purl/1543751.
@article{osti_1543751,
title = {Modeling genome-wide enzyme evolution predicts strong epistasis underlying catalytic turnover rates},
author = {Heckmann, David and Zielinski, Daniel C. and Palsson, Bernhard O.},
abstractNote = {Systems biology describes cellular phenotypes as properties that emerge from the complex interactions of individual system components. Little is known about how these interactions have affected the evolution of metabolic enzymes. Here, we combine genome-scale metabolic modeling with population genetics models to simulate the evolution of enzyme turnover numbers (kcats) from a theoretical ancestor with inefficient enzymes. This systems view of biochemical evolution reveals strong epistatic interactions between metabolic genes that shape evolutionary trajectories and influence the magnitude of evolved kcats. Diminishing returns epistasis prevents enzymes from developing higher kcats in all reactions and keeps the organism far from the potential fitness optimum. Multifunctional enzymes cause synergistic epistasis that slows down adaptation. The resulting fitness landscape allows kcat evolution to be convergent. Predicted kcat parameters show a significant correlation with experimental data, validating our modeling approach. Our analysis reveals how evolutionary forces shape modern kcats and the whole of metabolism.},
doi = {10.1038/s41467-018-07649-1},
journal = {Nature Communications},
number = 1,
volume = 9,
place = {United States},
year = {Mon Dec 10 00:00:00 EST 2018},
month = {Mon Dec 10 00:00:00 EST 2018}
}
Web of Science
Works referenced in this record:
Prediction of Microbial Growth Rate versus Biomass Yield by a Metabolic Network with Kinetic Parameters
text, January 2012
- Shlomi, Tomer; Adadi, Roi; Volkmer, Benjamin
- ETH Zurich
The Protein Cost of Metabolic Fluxes: Prediction from Enzymatic Rate Laws and Cost Minimization
journal, November 2016
- Noor, Elad; Flamholz, Avi; Bar-Even, Arren
- PLOS Computational Biology, Vol. 12, Issue 11
Evolution of catalytic proteins: On the origin of enzyme species by means of natural selection
journal, February 1984
- Kacser, Henrik; Beeby, Richard
- Journal of Molecular Evolution, Vol. 20, Issue 1
Prediction of Microbial Growth Rate versus Biomass Yield by a Metabolic Network with Kinetic Parameters
journal, July 2012
- Adadi, Roi; Volkmer, Benjamin; Milo, Ron
- PLoS Computational Biology, Vol. 8, Issue 7
The Rate of Adaptive Evolution in Enteric Bacteria
journal, May 2006
- Charlesworth, J.
- Molecular Biology and Evolution, Vol. 23, Issue 7
Synergy between 13C-metabolic flux analysis and flux balance analysis for understanding metabolic adaption to anaerobiosis in E. coli
journal, January 2011
- Chen, Xuewen; Alonso, Ana P.; Allen, Doug K.
- Metabolic Engineering, Vol. 13, Issue 1
Quantitative prediction of genome-wide resource allocation in bacteria
journal, November 2015
- Goelzer, Anne; Muntel, Jan; Chubukov, Victor
- Metabolic Engineering, Vol. 32
Histidine biosynthetic pathway and genes: structure, regulation, and evolution.
journal, January 1996
- Alifano, P.; Fani, R.; Liò, P.
- Microbiological reviews, Vol. 60, Issue 1
Global characterization of in vivo enzyme catalytic rates and their correspondence to in vitro k cat measurements
journal, March 2016
- Davidi, Dan; Noor, Elad; Liebermeister, Wolfram
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 12
A Whole-Cell Computational Model Predicts Phenotype from Genotype
journal, July 2012
- Karr, Jonathan R.; Sanghvi, Jayodita C.; Macklin, Derek N.
- Cell, Vol. 150, Issue 2
Structure and Evolution of a Bifunctional Enzyme of the Tryptophan Operon
journal, April 1972
- Grieshaber, Manfred; Bauerle, Ronald
- Nature New Biology, Vol. 236, Issue 69
Limits of Adaptation: the Evolution of Selective Neutrality
journal, November 1985
- Hartl, Daniel L.; Dykhuizen, Daniel E.; Dean, Antony M.
- Genetics, Vol. 111, Issue 3
Modelling metabolic evolution on phenotypic fitness landscapes: a case study on C4 photosynthesis
journal, November 2015
- Heckmann, David
- Biochemical Society Transactions, Vol. 43, Issue 6
Evolution of a gene. Multiple genes for LDH isozymes provide a model of the evolution of gene structure, function and regulation
journal, July 1975
- Markert, C.; Shaklee, J.; Whitt, G.
- Science, Vol. 189, Issue 4197
The Neutral Theory of Molecular Evolution
journal, November 1979
- Kimura, Motoo
- Scientific American, Vol. 241, Issue 5
Enzyme Evolution: Generation of a Bifunctional Enzyme by Fusion of Adjacent Genes
journal, November 1970
- Yourno, Joseph; Kohno, Tadahiko; Roth, John R.
- Nature, Vol. 228, Issue 5274
Remnants of an Ancient Metabolism without Phosphate
journal, March 2017
- Goldford, Joshua E.; Hartman, Hyman; Smith, Temple F.
- Cell, Vol. 168, Issue 6
Histidine biosynthetic pathway and genes: structure, regulation, and evolution.
journal, January 1996
- Alifano, P.; Fani, R.; Liò, P.
- Microbiological reviews, Vol. 60, Issue 1
Reciprocal sign epistasis is a necessary condition for multi-peaked fitness landscapes
journal, March 2011
- Poelwijk, Frank J.; Tănase-Nicola, Sorin; Kiviet, Daniel J.
- Journal of Theoretical Biology, Vol. 272, Issue 1
Some Properties of Finite Populations Experiencing Strong Selection and Weak Mutation
journal, May 1983
- Gillespie, John H.
- The American Naturalist, Vol. 121, Issue 5
Diminishing Returns Epistasis Among Beneficial Mutations Decelerates Adaptation
journal, June 2011
- Chou, H. -H.; Chiu, H. -C.; Delaney, N. F.
- Science, Vol. 332, Issue 6034
Effect of evolution on the kinetic properties of enzymes
journal, October 1989
- Pettersson, Gosta
- European Journal of Biochemistry, Vol. 184, Issue 3
Effect of evolution on the kinetic properties of enzymes
journal, October 1989
- Pettersson, Gosta
- European Journal of Biochemistry, Vol. 184, Issue 3
A comprehensive genome‐scale reconstruction of Escherichia coli metabolism—2011
journal, January 2011
- Orth, Jeffrey D.; Conrad, Tom M.; Na, Jessica
- Molecular Systems Biology, Vol. 7, Issue 1
Distributions of epistasis in microbes fit predictions from a fitness landscape model
journal, March 2007
- Martin, Guillaume; Elena, Santiago F.; Lenormand, Thomas
- Nature Genetics, Vol. 39, Issue 4
The Moderately Efficient Enzyme: Evolutionary and Physicochemical Trends Shaping Enzyme Parameters
journal, May 2011
- Bar-Even, Arren; Noor, Elad; Savir, Yonatan
- Biochemistry, Vol. 50, Issue 21
Turning a hobby into a job: How duplicated genes find new functions
journal, December 2008
- Conant, Gavin C.; Wolfe, Kenneth H.
- Nature Reviews Genetics, Vol. 9, Issue 12
Predicting C4 Photosynthesis Evolution: Modular, Individually Adaptive Steps on a Mount Fuji Fitness Landscape
journal, June 2013
- Heckmann, David; Schulze, Stefanie; Denton, Alisandra
- Cell, Vol. 153, Issue 7
BRENDA, enzyme data and metabolic information
journal, January 2002
- Schomburg, I.
- Nucleic Acids Research, Vol. 30, Issue 1
Genome‐scale models of metabolism and gene expression extend and refine growth phenotype prediction
journal, January 2013
- O'Brien, Edward J.; Lerman, Joshua A.; Chang, Roger L.
- Molecular Systems Biology, Vol. 9, Issue 1
Comparison and applications of label-free absolute proteome quantification methods on Escherichia coli
journal, September 2012
- Arike, L.; Valgepea, K.; Peil, L.
- Journal of Proteomics, Vol. 75, Issue 17
Multi-omic data integration enables discovery of hidden biological regularities
journal, October 2016
- Ebrahim, Ali; Brunk, Elizabeth; Tan, Justin
- Nature Communications, Vol. 7, Issue 1
Chance and necessity in the evolution of minimal metabolic networks
journal, March 2006
- Pál, Csaba; Papp, Balázs; Lercher, Martin J.
- Nature, Vol. 440, Issue 7084
Predictability of Evolutionary Trajectories in Fitness Landscapes
journal, December 2011
- Lobkovsky, Alexander E.; Wolf, Yuri I.; Koonin, Eugene V.
- PLoS Computational Biology, Vol. 7, Issue 12
A minimal estimate for the gene content of the last universal common ancestor—exobiology from a terrestrial perspective
journal, January 2006
- Ouzounis, Christos A.; Kunin, Victor; Darzentas, Nikos
- Research in Microbiology, Vol. 157, Issue 1
Neutralism and selectionism: a network-based reconciliation
text, January 2008
- A., Wagner,
- Nature Publishing Group
Multidimensional Optimality of Microbial Metabolism
journal, May 2012
- Schuetz, R.; Zamboni, N.; Zampieri, M.
- Science, Vol. 336, Issue 6081
The role of photorespiration during the evolution of C4 photosynthesis in the genus Flaveria
journal, June 2014
- Mallmann, Julia; Heckmann, David; Bräutigam, Andrea
- eLife, Vol. 3
Empirical fitness landscapes and the predictability of evolution
journal, June 2014
- de Visser, J. Arjan G. M.; Krug, Joachim
- Nature Reviews Genetics, Vol. 15, Issue 7
The Protein Cost of Metabolic Fluxes: Prediction from Enzymatic Rate Laws and Cost Minimization
text, January 2016
- Noor, Elad; Flamholz, Avi; Bar-Even, Arren
- ETH Zurich
The effects of alternate optimal solutions in constraint-based genome-scale metabolic models
journal, October 2003
- Mahadevan, R.; Schilling, C. H.
- Metabolic Engineering, Vol. 5, Issue 4
The Protein Cost of Metabolic Fluxes
text, January 2016
- Noor, Elad; Flamholz, Avi; Bar-Even, Arren
- Charité - Universitätsmedizin Berlin
The Rate of Adaptive Evolution in Enteric Bacteria
journal, May 2006
- Charlesworth, J.
- Molecular Biology and Evolution, Vol. 23, Issue 7
The Phylogenetic Extent of Metabolic Enzymes and Pathways
journal, March 2003
- Peregrin-Alvarez, J. M.
- Genome Research, Vol. 13, Issue 3
Empirical fitness landscapes and the predictability of evolution
journal, June 2014
- de Visser, J. Arjan G. M.; Krug, Joachim
- Nature Reviews Genetics, Vol. 15, Issue 7
The control of flux
journal, May 1995
- Kacser, H.; Burns, J. A.; Kacser, H.
- Biochemical Society Transactions, Vol. 23, Issue 2
Enzyme Evolution: Generation of a Bifunctional Enzyme by Fusion of Adjacent Genes
journal, November 1970
- Yourno, Joseph; Kohno, Tadahiko; Roth, John R.
- Nature, Vol. 228, Issue 5274
The Protein Cost of Metabolic Fluxes
text, January 2016
- Noor, Elad; Flamholz, Avi; Bar-Even, Arren
- Charité - Universitätsmedizin Berlin
Gene Amplification and Genomic Plasticity in Prokaryotes
journal, December 1997
- Romero, David; Palacios, Rafael
- Annual Review of Genetics, Vol. 31, Issue 1
A genome-scale Escherichia coli kinetic metabolic model k-ecoli457 satisfying flux data for multiple mutant strains
journal, December 2016
- Khodayari, Ali; Maranas, Costas D.
- Nature Communications, Vol. 7, Issue 1
Clonal Interference and the Periodic Selection of New Beneficial Mutations in Escherichia coli
journal, February 2006
- de Visser, J. Arjan G. M.; Rozen, Daniel E.
- Genetics, Vol. 172, Issue 4
Structural biology of the purine biosynthetic pathway
journal, August 2008
- Zhang, Y.; Morar, M.; Ealick, S. E.
- Cellular and Molecular Life Sciences, Vol. 65, Issue 23
Maintenance of Genetic Variability Under the Joint Effect of Mutation, Selection and Random Drift
journal, October 1978
- Li, Wen-Hsiung
- Genetics, Vol. 90, Issue 2
Genome‐scale models of metabolism and gene expression extend and refine growth phenotype prediction
journal, January 2013
- O'Brien, Edward J.; Lerman, Joshua A.; Chang, Roger L.
- Molecular Systems Biology, Vol. 9, Issue 1
Improving the phenotype predictions of a yeast genome‐scale metabolic model by incorporating enzymatic constraints
journal, August 2017
- Sánchez, Benjamín J.; Zhang, Cheng; Nilsson, Avlant
- Molecular Systems Biology, Vol. 13, Issue 8
Systematic identification and analysis of frequent gene fusion events in metabolic pathways
journal, June 2016
- Henry, Christopher S.; Lerma-Ortiz, Claudia; Gerdes, Svetlana Y.
- BMC Genomics, Vol. 17, Issue 1
Multidimensional Optimality of Microbial Metabolism
journal, May 2012
- Schuetz, R.; Zamboni, N.; Zampieri, M.
- Science, Vol. 336, Issue 6081
The effects of alternate optimal solutions in constraint-based genome-scale metabolic models
journal, October 2003
- Mahadevan, R.; Schilling, C. H.
- Metabolic Engineering, Vol. 5, Issue 4
A Whole-Cell Computational Model Predicts Phenotype from Genotype
journal, July 2012
- Karr, Jonathan R.; Sanghvi, Jayodita C.; Macklin, Derek N.
- Cell, Vol. 150, Issue 2
Synergy between 13C-metabolic flux analysis and flux balance analysis for understanding metabolic adaption to anaerobiosis in E. coli
journal, January 2011
- Chen, Xuewen; Alonso, Ana P.; Allen, Doug K.
- Metabolic Engineering, Vol. 13, Issue 1
Neutralism and selectionism: a network-based reconciliation
journal, December 2008
- Wagner, Andreas
- Nature Reviews Genetics, Vol. 9, Issue 12
The neutral theory of molecular evolution
journal, January 1984
- Dover, Gabriel A.
- Endeavour, Vol. 8, Issue 2
Cellular trade-offs and optimal resource allocation during cyanobacterial diurnal growth
journal, July 2017
- Reimers, Alexandra-M.; Knoop, Henning; Bockmayr, Alexander
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 31
Modular epistasis in yeast metabolism
journal, December 2004
- Segrè, Daniel; DeLuna, Alexander; Church, George M.
- Nature Genetics, Vol. 37, Issue 1
Global characterization of in vivo enzyme catalytic rates and their correspondence to in vitro k cat measurements
journal, March 2016
- Davidi, Dan; Noor, Elad; Liebermeister, Wolfram
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 12
Cross-species analysis traces adaptation of Rubisco towards optimality in a low dimensional landscape
text, January 2010
- Savir, Yonatan; Noor, Elad; Milo, Ron
- arXiv
Cross-species analysis traces adaptation of Rubisco toward optimality in a low-dimensional landscape
journal, February 2010
- Savir, Yonatan; Noor, Elad; Milo, Ron
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 8
Some Properties of Finite Populations Experiencing Strong Selection and Weak Mutation
journal, May 1983
- Gillespie, John H.
- The American Naturalist, Vol. 121, Issue 5
A comprehensive genome‐scale reconstruction of Escherichia coli metabolism—2011
journal, January 2011
- Orth, Jeffrey D.; Conrad, Tom M.; Na, Jessica
- Molecular Systems Biology, Vol. 7, Issue 1
BRENDA, enzyme data and metabolic information
journal, January 2002
- Schomburg, I.
- Nucleic Acids Research, Vol. 30, Issue 1
Predicting C4 Photosynthesis Evolution: Modular, Individually Adaptive Steps on a Mount Fuji Fitness Landscape
journal, June 2013
- Heckmann, David; Schulze, Stefanie; Denton, Alisandra
- Cell, Vol. 153, Issue 7
Diminishing Returns Epistasis Among Beneficial Mutations Decelerates Adaptation
journal, June 2011
- Chou, H. -H.; Chiu, H. -C.; Delaney, N. F.
- Science, Vol. 332, Issue 6034
Cellular trade-offs and optimal resource allocation during cyanobacterial diurnal growth
journal, July 2017
- Reimers, Alexandra-M.; Knoop, Henning; Bockmayr, Alexander
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 31
Cross-species analysis traces adaptation of Rubisco toward optimality in a low-dimensional landscape
journal, February 2010
- Savir, Yonatan; Noor, Elad; Milo, Ron
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 8
Diminishing returns and tradeoffs constrain the laboratory optimization of an enzyme
journal, January 2012
- Tokuriki, Nobuhiko; Jackson, Colin J.; Afriat-Jurnou, Livnat
- Nature Communications, Vol. 3, Issue 1
The principle of flux minimization and its application to estimate stationary fluxes in metabolic networks: Flux minimization
journal, June 2004
- Holzhütter, Hermann-Georg
- European Journal of Biochemistry, Vol. 271, Issue 14
Divergence and Convergence in Enzyme Evolution
journal, November 2011
- Galperin, Michael Y.; Koonin, Eugene V.
- Journal of Biological Chemistry, Vol. 287, Issue 1
Remnants of an Ancient Metabolism without Phosphate
journal, March 2017
- Goldford, Joshua E.; Hartman, Hyman; Smith, Temple F.
- Cell, Vol. 168, Issue 6
Predictability of Evolutionary Trajectories in Fitness Landscapes
journal, December 2011
- Lobkovsky, Alexander E.; Wolf, Yuri I.; Koonin, Eugene V.
- PLoS Computational Biology, Vol. 7, Issue 12
Structural biology of the purine biosynthetic pathway
journal, August 2008
- Zhang, Y.; Morar, M.; Ealick, S. E.
- Cellular and Molecular Life Sciences, Vol. 65, Issue 23
Comparison and applications of label-free absolute proteome quantification methods on Escherichia coli
journal, September 2012
- Arike, L.; Valgepea, K.; Peil, L.
- Journal of Proteomics, Vol. 75, Issue 17
Chance and necessity in the evolution of minimal metabolic networks
journal, March 2006
- Pál, Csaba; Papp, Balázs; Lercher, Martin J.
- Nature, Vol. 440, Issue 7084
Evolution of a gene. Multiple genes for LDH isozymes provide a model of the evolution of gene structure, function and regulation
journal, July 1975
- Markert, C.; Shaklee, J.; Whitt, G.
- Science, Vol. 189, Issue 4197
Improving the phenotype predictions of a yeast genome‐scale metabolic model by incorporating enzymatic constraints
journal, August 2017
- Sánchez, Benjamín J.; Zhang, Cheng; Nilsson, Avlant
- Molecular Systems Biology, Vol. 13, Issue 8
Negative Epistasis Between Beneficial Mutations in an Evolving Bacterial Population
journal, June 2011
- Khan, A. I.; Dinh, D. M.; Schneider, D.
- Science, Vol. 332, Issue 6034
Gene Amplification and Genomic Plasticity in Prokaryotes
journal, December 1997
- Romero, David; Palacios, Rafael
- Annual Review of Genetics, Vol. 31, Issue 1
A minimal estimate for the gene content of the last universal common ancestor—exobiology from a terrestrial perspective
journal, January 2006
- Ouzounis, Christos A.; Kunin, Victor; Darzentas, Nikos
- Research in Microbiology, Vol. 157, Issue 1
Clonal Interference and the Periodic Selection of New Beneficial Mutations in Escherichia coli
journal, February 2006
- de Visser, J. Arjan G. M.; Rozen, Daniel E.
- Genetics, Vol. 172, Issue 4
Turning a hobby into a job: How duplicated genes find new functions
journal, December 2008
- Conant, Gavin C.; Wolfe, Kenneth H.
- Nature Reviews Genetics, Vol. 9, Issue 12
What is flux balance analysis?
journal, March 2010
- Orth, Jeffrey D.; Thiele, Ines; Palsson, Bernhard Ø
- Nature Biotechnology, Vol. 28, Issue 3
Systematic identification and analysis of frequent gene fusion events in metabolic pathways
journal, June 2016
- Henry, Christopher S.; Lerma-Ortiz, Claudia; Gerdes, Svetlana Y.
- BMC Genomics, Vol. 17, Issue 1
Escherichia coli K-12 undergoes adaptive evolution to achieve in silico predicted optimal growth
journal, November 2002
- Ibarra, Rafael U.; Edwards, Jeremy S.; Palsson, Bernhard O.
- Nature, Vol. 420, Issue 6912
Enzyme Promiscuity: A Mechanistic and Evolutionary Perspective
journal, June 2010
- Khersonsky, Olga; Tawfik, Dan S.
- Annual Review of Biochemistry, Vol. 79, Issue 1, p. 471-505
Diffusion models in population genetics
journal, December 1964
- Kimura, Motoo
- Journal of Applied Probability, Vol. 1, Issue 2
sybil – Efficient constraint-based modelling in R
journal, January 2013
- Gelius-Dietrich, Gabriel; Desouki, Abdelmoneim; Fritzemeier, Claus
- BMC Systems Biology, Vol. 7, Issue 1
Maintenance of Genetic Variability Under the Joint Effect of Mutation, Selection and Random Drift
journal, October 1978
- Li, Wen-Hsiung
- Genetics, Vol. 90, Issue 2
Limits of Adaptation: the Evolution of Selective Neutrality
journal, November 1985
- Hartl, Daniel L.; Dykhuizen, Daniel E.; Dean, Antony M.
- Genetics, Vol. 111, Issue 3
The Molecular Basis of Dominance
journal, March 1981
- Kacser, Henrik; Burns, James A.
- Genetics, Vol. 97, Issue 3-4
Histidine biosynthetic pathway and genes: structure, regulation, and evolution.
journal, January 1996
- Alifano, P.; Fani, R.; Liò, P.
- Microbiological reviews, Vol. 60, Issue 1
Works referencing / citing this record:
Kinetic profiling of metabolic specialists demonstrates stability and consistency of in vivo enzyme turnover numbers
journal, September 2020
- Heckmann, David; Campeau, Anaamika; Lloyd, Colton J.
- Proceedings of the National Academy of Sciences, Vol. 117, Issue 37
SodaPop: a forward simulation suite for the evolutionary dynamics of asexual populations on protein fitness landscapes
journal, March 2019
- Gauthier, Louis; Di Franco, Rémicia; Serohijos, Adrian W. R.
- Bioinformatics, Vol. 35, Issue 20