Quantum chemistry reveals thermodynamic principles of redox biochemistry

Thermodynamics dictates the structure and function of metabolism. Redox reactions drive cellular energy and material flow. Hence, accurately quantifying the thermodynamics of redox reactions should reveal design principles that shape cellular metabolism. However, only few redox potentials have been measured, and mostly with inconsistent experimental setups. Here, we develop a quantum chemistry approach to calculate redox potentials of biochemical reactions and demonstrate our method predicts experimentally measured potentials with unparalleled accuracy. We then calculate the potentials of all redox pairs that can be generated from biochemically relevant compounds and highlight fundamental trends in redox biochemistry. We further address the question of why NAD/NADP are used as primary electron carriers, demonstrating how their physiological potential range fits the reactions of central metabolism and minimizes the concentration of reactive carbonyls. The use of quantum chemistry can revolutionize our understanding of biochemical phenomena by enabling fast and accurate calculation of thermodynamic values.

[1]  A. Roche,et al.  Organic Chemistry: , 1982, Nature.

[2]  S. M. Cantor,et al.  The Reduction of Aldoses at the Dropping Mercury Cathode: Estimation of the aldehydo Structure in Aqueous Solutions1 , 1940 .

[3]  H. L. Morgan The Generation of a Unique Machine Description for Chemical Structures-A Technique Developed at Chemical Abstracts Service. , 1965 .

[4]  N. Trinajstic,et al.  Ground states of conjugated molecules—XVIII , 1965 .

[5]  M. Jean,et al.  Indolelactate dehydrogenase from Clostridium sporogenes. , 1968, Canadian journal of microbiology.

[6]  A. Harget,et al.  Ground states of conjugated molecules–XXI , 1970 .

[7]  J. Rigaud,et al.  Lactate Dehydrogenase from Rhizobium. Purification and Role in Indole Metabolism , 1974 .

[8]  G. Vogels,et al.  Distribution of coenzyme F420 and properties of its hydrolytic fragments , 1979, Journal of bacteriology.

[9]  B. Wright,et al.  Cellular concentrations of enzymes and their substrates. , 1990, Journal of theoretical biology.

[10]  G. Wächtershäuser,et al.  Evolution of the first metabolic cycles. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[11]  U. Flügge,et al.  Redox Transfer across the Inner Chloroplast Envelope Membrane. , 1991, Plant physiology.

[12]  A. Klamt,et al.  COSMO : a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient , 1993 .

[13]  T. Conway,et al.  Evolution of carbohydrate metabolic pathways. , 1996, Research in microbiology.

[14]  M. Russell,et al.  The emergence of life from iron monosulphide bubbles at a submarine hydrothermal redox and pH front , 1997, Journal of the Geological Society.

[15]  R. Leventis,et al.  Acyl-CoA binding proteins inhibit the nonenzymic S-acylation of cysteinyl-containing peptide sequences by long-chain acyl-CoAs. , 1997, Biochemistry.

[16]  G. Ferguson Protective mechanisms against toxic electrophiles in Escherischia coli. , 1999, Trends in microbiology.

[17]  Susumu Goto,et al.  KEGG: Kyoto Encyclopedia of Genes and Genomes , 2000, Nucleic Acids Res..

[18]  J. Vanderleyden,et al.  A Metabolic Node in Action: Chorismate-Utilizing Enzymes in Microorganisms , 2001, Critical reviews in microbiology.

[19]  N. Biteau,et al.  Succinate Secreted by Trypanosoma brucei Is Produced by a Novel and Unique Glycosomal Enzyme, NADH-dependent Fumarate Reductase , 2002, The Journal of Biological Chemistry.

[20]  R. Friesner,et al.  Computing Redox Potentials in Solution: Density Functional Theory as A Tool for Rational Design of Redox Agents , 2002 .

[21]  L. Eriksson,et al.  First principles electrochemistry: Electrons and protons reacting as independent ions , 2002 .

[22]  A. Weber Chemical Constraints Governing the Origin of Metabolism: The Thermodynamic Landscape of Carbon Group Transformations under Mild Aqueous Conditions , 2001, Origins of life and evolution of the biosphere.

[23]  P. Winget,et al.  Computation of equilibrium oxidation and reduction potentials for reversible and dissociative electron-transfer reactions in solution , 2004 .

[24]  C. Mathews Thermodynamics of biochemical reactions , 2004 .

[25]  Robert N. Goldberg,et al.  Thermodynamics of enzyme-catalyzed reactions - a database for quantitative biochemistry , 2004, Bioinform..

[26]  J. Keltjens,et al.  Hydrogen concentrations in methane-forming cells probed by the ratios of reduced and oxidized coenzyme F420. , 2005, Microbiology.

[27]  A. Siraki,et al.  Aldehyde Sources, Metabolism, Molecular Toxicity Mechanisms, and Possible Effects on Human Health , 2005, Critical reviews in toxicology.

[28]  A. Rockwood Comment on "First principles electrochemistry: electrons and protons reacting as independent ions" [J. Chem. Phys. 117, 10193 (2002)]. , 2005, The Journal of chemical physics.

[29]  B. Siebers,et al.  Unusual pathways and enzymes of central carbohydrate metabolism in Archaea. , 2005, Current opinion in microbiology.

[30]  S. Grimme,et al.  Towards chemical accuracy for the thermodynamics of large molecules: new hybrid density functionals including non-local correlation effects. , 2006, Physical chemistry chemical physics : PCCP.

[31]  S. Grimme Semiempirical hybrid density functional with perturbative second-order correlation. , 2006, The Journal of chemical physics.

[32]  J. R. T. Johnsson Wass,et al.  Quantum chemical modeling of the reduction of quinones. , 2006, The journal of physical chemistry. A.

[33]  Adam M. Feist,et al.  A genome-scale metabolic reconstruction for Escherichia coli K-12 MG1655 that accounts for 1260 ORFs and thermodynamic information , 2007, Molecular systems biology.

[34]  V. Hatzimanikatis,et al.  Thermodynamics-based metabolic flux analysis. , 2007, Biophysical journal.

[35]  A. Becke,et al.  Exchange-hole dipole moment and the dispersion interaction revisited. , 2007, The Journal of chemical physics.

[36]  Yoshihiro Yamanishi,et al.  KEGG for linking genomes to life and the environment , 2007, Nucleic Acids Res..

[37]  A. Fernie,et al.  Highway or byway: the metabolic role of the GABA shunt in plants. , 2008, Trends in plant science.

[38]  Matthew D. Jankowski,et al.  Group contribution method for thermodynamic analysis of complex metabolic networks. , 2008, Biophysical journal.

[39]  M. Ishii,et al.  Hydrogenobacter Acid Cycle of Reductase in the Reductive Tricarboxylic a Soluble Nadh-dependent Fumarate , 2008 .

[40]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[41]  J. Rabinowitz,et al.  Absolute Metabolite Concentrations and Implied Enzyme Active Site Occupancy in Escherichia coli , 2009, Nature chemical biology.

[42]  M. Inui,et al.  Regulation of Expression of Genes Involved in Quinate and Shikimate Utilization in Corynebacterium glutamicum , 2009, Applied and Environmental Microbiology.

[43]  S. Grimme,et al.  A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. , 2010, The Journal of chemical physics.

[44]  David Rogers,et al.  Extended-Connectivity Fingerprints , 2010, J. Chem. Inf. Model..

[45]  R. Milo,et al.  Design and analysis of synthetic carbon fixation pathways , 2010, Proceedings of the National Academy of Sciences.

[46]  Sahng-Ha Lee,et al.  Coenzyme analogs: excellent substitutes (not poor imitations) for electrochemical regeneration. , 2011, Chemical communications.

[47]  Ron Milo,et al.  Hydrophobicity and Charge Shape Cellular Metabolite Concentrations , 2011, PLoS Comput. Biol..

[48]  A. Burgard,et al.  Metabolic engineering of Escherichia coli for direct production of 1,4-butanediol. Nat Chem Biol , 2011 .

[49]  S. Grimme,et al.  Efficient and Accurate Double-Hybrid-Meta-GGA Density Functionals-Evaluation with the Extended GMTKN30 Database for General Main Group Thermochemistry, Kinetics, and Noncovalent Interactions. , 2011, Journal of chemical theory and computation.

[50]  A. Burgard,et al.  Metabolic engineering of Escherichia coli for direct production of 1,4-butanediol. , 2011, Nature chemical biology.

[51]  A. Steyn,et al.  Redox homeostasis in mycobacteria: the key to tuberculosis control? , 2011, Expert Reviews in Molecular Medicine.

[52]  J. Reed,et al.  Synergy between (13)C-metabolic flux analysis and flux balance analysis for understanding metabolic adaptation to anaerobiosis in E. coli. , 2011, Metabolic engineering.

[53]  A. Cornish-Bowden,et al.  Recommendations for terminology and databases for biochemical thermodynamics. , 2011, Biophysical chemistry.

[54]  R. S. Sohal,et al.  The redox stress hypothesis of aging. , 2012, Free radical biology & medicine.

[55]  Eric Smith,et al.  The Emergence and Early Evolution of Biological Carbon-Fixation , 2012, PLoS Comput. Biol..

[56]  Ron Milo,et al.  eQuilibrator—the biochemical thermodynamics calculator , 2011, Nucleic Acids Res..

[57]  Ronan M. T. Fleming,et al.  Quantitative assignment of reaction directionality in a multicompartmental human metabolic reconstruction. , 2012, Biophysical journal.

[58]  R. Milo,et al.  Rethinking glycolysis: on the biochemical logic of metabolic pathways. , 2012, Nature chemical biology.

[59]  R. Milo,et al.  A survey of carbon fixation pathways through a quantitative lens. , 2012, Journal of experimental botany.

[60]  Yaniv Lubling,et al.  An integrated open framework for thermodynamics of reactions that combines accuracy and coverage , 2012, Bioinform..

[61]  Frank Neese,et al.  The ORCA program system , 2012 .

[62]  R. Milo,et al.  Thermodynamic constraints shape the structure of carbon fixation pathways. , 2012, Biochimica et biophysica acta.

[63]  Ronan M. T. Fleming,et al.  Consistent Estimation of Gibbs Energy Using Component Contributions , 2013, PLoS Comput. Biol..

[64]  G. Grogan,et al.  F420-dependent enzymes - potential for applications in biotechnology. , 2013, Trends in biotechnology.

[65]  A. B. Reddy,et al.  Regulation of Circadian Clocks by Redox Homeostasis* , 2013, The Journal of Biological Chemistry.

[66]  A. Ducluzeau,et al.  On the universal core of bioenergetics. , 2013, Biochimica et biophysica acta.

[67]  Stephen R. Heller,et al.  InChI - the worldwide chemical structure identifier standard , 2013, Journal of Cheminformatics.

[68]  A. Bar‐Even Does acetogenesis really require especially low reduction potential? , 2013, Biochimica et biophysica acta.

[69]  R. Milo,et al.  Glycolytic strategy as a tradeoff between energy yield and protein cost , 2013, Proceedings of the National Academy of Sciences.

[70]  Wolfram Liebermeister,et al.  Pathway Thermodynamics Highlights Kinetic Obstacles in Central Metabolism , 2014, PLoS Comput. Biol..

[71]  Alán Aspuru-Guzik,et al.  Quantum Chemical Approach to Estimating the Thermodynamics of Metabolic Reactions , 2014, Scientific Reports.

[72]  C. Cramer,et al.  Computational electrochemistry: prediction of liquid-phase reduction potentials. , 2014, Physical chemistry chemical physics : PCCP.

[73]  Dylan J. Sorensen,et al.  Structural, Kinetic and Proteomic Characterization of Acetyl Phosphate-Dependent Bacterial Protein Acetylation , 2014, PloS one.

[74]  U. Sauer,et al.  Quantification and mass isotopomer profiling of α-keto acids in central carbon metabolism. , 2014, Analytical chemistry.

[75]  Michael P. Marshak,et al.  A metal-free organic–inorganic aqueous flow battery , 2014, Nature.

[76]  M. Ataman,et al.  Molecular thermodynamics of metabolism: quantum thermochemical calculations for key metabolites. , 2015, Physical chemistry chemical physics : PCCP.

[77]  Michael P. Marshak,et al.  Computational design of molecules for an all-quinone redox flow battery , 2014, Chemical science.

[78]  F. Cheng,et al.  SoNar, a Highly Responsive NAD+/NADH Sensor, Allows High-Throughput Metabolic Screening of Anti-tumor Agents. , 2015, Cell metabolism.

[79]  Daniel M. Lowe,et al.  Development of a Novel Fingerprint for Chemical Reactions and Its Application to Large-Scale Reaction Classification and Similarity , 2015, J. Chem. Inf. Model..

[80]  J. Heijnen,et al.  Determination of the Cytosolic NADPH/NADP Ratio in Saccharomyces cerevisiae using Shikimate Dehydrogenase as Sensor Reaction , 2015, Scientific Reports.

[81]  Junming Ho Are thermodynamic cycles necessary for continuum solvent calculation of pKas and reduction potentials? , 2015, Physical chemistry chemical physics : PCCP.

[82]  M. Ataman,et al.  Heading in the right direction: thermodynamics-based network analysis and pathway engineering. , 2015, Current opinion in biotechnology.

[83]  J. Heijnen,et al.  Determination of the in vivo NAD:NADH ratio in Saccharomyces cerevisiae under anaerobic conditions, using alcohol dehydrogenase as sensor reaction , 2015, Yeast.

[84]  S. Flores,et al.  Bio-Inspired Electroactive Organic Molecules for Aqueous Redox Flow Batteries. 1. Thiophenoquinones , 2015 .

[85]  O. Hammerich,et al.  Techniques For Studies Of Electrochemical Reactions In Solution , 2015 .

[86]  Ruslan N. Tazhigulov,et al.  Free Energies of Redox Half-Reactions from First-Principles Calculations. , 2016, The journal of physical chemistry letters.

[87]  Michael P. Marshak,et al.  Anthraquinone Derivatives in Aqueous Flow Batteries , 2016 .

[88]  D. Pantazis,et al.  Ionization Energies and Aqueous Redox Potentials of Organic Molecules: Comparison of DFT, Correlated ab Initio Theory and Pair Natural Orbital Approaches. , 2016, Journal of chemical theory and computation.

[89]  Yoon-Sok Kang,et al.  A search map for organic additives and solvents applicable in high-voltage rechargeable batteries. , 2016, Physical chemistry chemical physics : PCCP.

[90]  T. Erb,et al.  A synthetic pathway for the fixation of carbon dioxide in vitro , 2016, Science.

[91]  V. Hatzimanikatis,et al.  ATLAS of Biochemistry: A Repository of All Possible Biochemical Reactions for Synthetic Biology and Metabolic Engineering Studies. , 2016, ACS synthetic biology.

[92]  Cuiqing Ma,et al.  Coupling between d-3-phosphoglycerate dehydrogenase and d-2-hydroxyglutarate dehydrogenase drives bacterial l-serine synthesis , 2017, Proceedings of the National Academy of Sciences.

[93]  K. Baldridge,et al.  Dispersion-Corrected Spin-Component-Scaled Double-Hybrid Density Functional Theory: Implementation and Performance for Non-covalent Interactions. , 2017, Journal of chemical theory and computation.

[94]  Gregory W. Bishop,et al.  Ultrathin Graphene–Protein Supercapacitors for Miniaturized Bioelectronics , 2017, Advanced energy materials.

[95]  K. Mikkelsen,et al.  The quest for determining one-electron redox potentials of azulene-1-carbonitriles by calculation. , 2018, Physical chemistry chemical physics : PCCP.

[96]  Krishnan S. Hariharan,et al.  Empirical Relationship between Chemical Structure and Redox Properties: Mathematical Expressions Connecting Structural Features to Energies of Frontier Orbitals and Redox Potentials for Organic Molecules , 2018 .