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Gupta AK, Krasnoslobodtsev AV. Fueling the Future: The Emergence of Self-Powered Enzymatic Biofuel Cell Biosensors. BIOSENSORS 2024; 14:316. [PMID: 39056592 PMCID: PMC11274387 DOI: 10.3390/bios14070316] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2024] [Revised: 06/13/2024] [Accepted: 06/21/2024] [Indexed: 07/28/2024]
Abstract
Self-powered biosensors are innovative devices that can detect and analyze biological or chemical substances without the need for an external power source. These biosensors can convert energy from the surrounding environment or the analyte itself into electrical signals for sensing and data transmission. The self-powered nature of these biosensors offers several advantages, such as portability, autonomy, and reduced waste generation from disposable batteries. They find applications in various fields, including healthcare, environmental monitoring, food safety, and wearable devices. While self-powered biosensors are a promising technology, there are still challenges to address, such as improving energy efficiency, sensitivity, and stability to make them more practical and widely adopted. This review article focuses on exploring the evolving trends in self-powered biosensor design, outlining potential advantages and limitations. With a focal point on enzymatic biofuel cell power generation, this article describes various sensing mechanisms that employ the analyte as substrate or fuel for the biocatalyst's ability to generate current. Technical aspects of biofuel cells are also examined. Research and development in the field of self-powered biosensors is ongoing, and this review describes promising areas for further exploration within the field, identifying underexplored areas that could benefit from further investigation.
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Hudspeth J, Rogge K, Dörner S, Müll M, Hoffmeister D, Rupp B, Werten S. Methyl transfer in psilocybin biosynthesis. Nat Commun 2024; 15:2709. [PMID: 38548735 PMCID: PMC10978996 DOI: 10.1038/s41467-024-46997-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2023] [Accepted: 03/17/2024] [Indexed: 04/01/2024] Open
Abstract
Psilocybin, the natural hallucinogen produced by Psilocybe ("magic") mushrooms, holds great promise for the treatment of depression and several other mental health conditions. The final step in the psilocybin biosynthetic pathway, dimethylation of the tryptophan-derived intermediate norbaeocystin, is catalysed by PsiM. Here we present atomic resolution (0.9 Å) crystal structures of PsiM trapped at various stages of its reaction cycle, providing detailed insight into the SAM-dependent methylation mechanism. Structural and phylogenetic analyses suggest that PsiM derives from epitranscriptomic N6-methyladenosine writers of the METTL16 family, which is further supported by the observation that bound substrates physicochemically mimic RNA. Inherent limitations of the ancestral monomethyltransferase scaffold hamper the efficiency of psilocybin assembly and leave PsiM incapable of catalysing trimethylation to aeruginascin. The results of our study will support bioengineering efforts aiming to create novel variants of psilocybin with improved therapeutic properties.
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Affiliation(s)
- Jesse Hudspeth
- Institute of Genetic Epidemiology, Medical University of Innsbruck, Innsbruck, Austria
- Department of Chemistry, Colorado School of Mines, Golden, CO, USA
| | - Kai Rogge
- Institute of Pharmacy, Friedrich Schiller University, Jena, Germany
- Research Group Pharmaceutical Microbiology, Leibniz Institute of Natural Product Research and Infection Biology, Hans Knöll Institute, Jena, Germany
| | - Sebastian Dörner
- Institute of Pharmacy, Friedrich Schiller University, Jena, Germany
- Research Group Pharmaceutical Microbiology, Leibniz Institute of Natural Product Research and Infection Biology, Hans Knöll Institute, Jena, Germany
| | - Maximilian Müll
- Research Group Biosynthetic Design of Natural Products, Leibniz Institute of Natural Product Research and Infection Biology, Hans Knöll Institute, Jena, Germany
| | - Dirk Hoffmeister
- Institute of Pharmacy, Friedrich Schiller University, Jena, Germany
- Research Group Pharmaceutical Microbiology, Leibniz Institute of Natural Product Research and Infection Biology, Hans Knöll Institute, Jena, Germany
| | - Bernhard Rupp
- Institute of Genetic Epidemiology, Medical University of Innsbruck, Innsbruck, Austria
- k.-k. Hofkristallamt, San Diego, California, USA
| | - Sebastiaan Werten
- Institute of Genetic Epidemiology, Medical University of Innsbruck, Innsbruck, Austria.
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3
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Hanaway D, Kennedy CR. Automated Variable Electric-Field DFT Application for Evaluation of Optimally Oriented Electric Fields on Chemical Reactivity. J Org Chem 2023; 88:106-115. [PMID: 36507909 PMCID: PMC9830642 DOI: 10.1021/acs.joc.2c01893] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
Recent theoretical work and experiments at molecular junctions have provided a strong conceptualization for the effects of oriented electric fields (OEFs) on organic reactions. Depending on the axis of application, OEFs can increase (or decrease) the reaction rate or distinguish between isomeric pathways. Despite the conceptual elegance of OEFs, which may be applied externally or induced locally, as tools for catalyzing organic reactions, implementation in synthetically relevant systems has been hampered by inefficiencies in evaluating reaction sensitivity to field effects. Herein, we describe the development of the Automated Variable Electric-Field DFT Application (A.V.E.D.A.) for streamlined evaluation of a reaction's susceptibility to OEFs. This open-source software was designed to be accessible for nonexpert users of computational and programming tools. Following initiation by a single command (and with no subsequent intervention) the Linux workflow manages a series of density functional theory calculations and mathematical manipulations to optimize local-minimum and transition-state structures in oriented electric fields of increasing magnitude. The resulting molecular and reaction dipole moments, field-perturbed geometries, and net effective activation energies are compiled for user interpretation. Ten representative pericyclic reactions that showcase the development and evaluation of A.V.E.D.A. are described.
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Dubey KD, Stuyver T, Shaik S. Local Electric Fields: From Enzyme Catalysis to Synthetic Catalyst Design. J Phys Chem B 2022; 126:10285-10294. [PMID: 36469939 DOI: 10.1021/acs.jpcb.2c06422] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Abstract
This Mini-Review Article outlines recent advances in the study of local electric field (LEF) governed enzyme catalysis and the application of the LEF principle in synthetic catalyst design. We start by discussing the electrostatics principles that drive enzyme catalysis, and its experimental verifications through vibrational Stark spectroscopy. Subsequently, we describe aspects of LEFs other than catalysis, i.e., induction of mechanistic crossovers, among others. Here, we focus on the early work done using computational tools, along with some recent contributions. Following an in-depth discussion of the role of LEFs in enzyme catalysis, we then highlight some recent works on designed local electric fields (D-LEF) and their applications in organic synthesis. Subsequently, we turn to D-LEFs in synthetic enzymes and supramolecular systems (cf. the work by the Head-Gordon group). We end by discussing some of the software packages that have been developed to analyze local electric fields computationally. Overall, the present Mini-Review Article paints an insightful picture of the current state of the art using LEF in enzyme catalysis and its application for further bioengineering and synthetic organic frameworks in a broad perspective.
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Affiliation(s)
- Kshatresh Dutta Dubey
- Department of Chemistry, School of Natural Sciences, Shiv Nadar Institution of Eminence Delhi-NCR, Gautam Buddha Nagar, Uttar Pradesh201314, India
| | - Thijs Stuyver
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts02139, United States
| | - Sason Shaik
- The Hebrew University, Institute of Chemistry, Edmond J. Safra Campus at Givat Ram, Jerusalem, 9190401Israel
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5
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Helbing T, Kirchner M, Becker J, Göttlich R. Separation of the Thorpe‐Ingold and Reactive Rotamer Effect by Using the Formation of Bicyclic Aziridinium Ions. European J Org Chem 2022. [DOI: 10.1002/ejoc.202200597] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Tim Helbing
- Justus Liebig Universitat Giessen Biology and Chemistry Heinrich-Buff-Ring 17 35392 Giessen GERMANY
| | | | - Jonathan Becker
- Justus Liebig Universitat Giessen Biology and Chemistry GERMANY
| | - Richard Göttlich
- University of Giessen: Justus Liebig Universitat Giessen Biology and Chemistry Heinrich-Buff-Ring 17 35392 Gießen GERMANY
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6
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Shen S, Wu C, Shang Y, Shen H, Liao Y, Guo Y, Hu M, Wang X, Li G, Wang Q. Spatiotemporally-regulated multienzymatic polymerization endows hydrogel continuous gradient and spontaneous actuation. Sci China Chem 2021. [DOI: 10.1007/s11426-021-1107-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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7
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Enzyme free energy profiles: Can substrate binding be nonspontaneous? Can ground state interactions enhance catalysis? Biophys Chem 2021; 274:106606. [PMID: 33945990 DOI: 10.1016/j.bpc.2021.106606] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/19/2021] [Revised: 04/23/2021] [Accepted: 04/25/2021] [Indexed: 11/21/2022]
Abstract
Two influential enzymological theories were proposed in the late 1970s - that catalytic power stems only from transition state stabilization, while ground state interactions are either irrelevant or inhibitory; and enzyme substrate binding is nonspontaneous at low substrate concentrations ([S]0 << Km). I show here that ground state destabilization can be a very effective source of catalytic power, especially at high substrate concentrations, and enzyme-substrate binding thermodynamics are independent of initial substrate concentration. Binding free energy ranges from negative (spontaneous) under pre-steady state conditions up to a maximum of zero at steady state. Nonspontaneous binding can only occur under standard state conditions when c° is defined to be less than Km.
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8
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Silverstein TP. How enzymes harness highly unfavorable proton transfer reactions. Protein Sci 2021; 30:735-744. [PMID: 33554401 DOI: 10.1002/pro.4037] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2020] [Revised: 02/01/2021] [Accepted: 02/05/2021] [Indexed: 11/12/2022]
Abstract
Acid-base reactions that are exceedingly unfavorable under standard conditions can be catalytically important at enzyme active sites. For example, in triose phosphate isomerase, a glutamate side chain (nominal pKa ≈ 4 in solution) can in fact deprotonate a CH group that is vicinal to a carbonyl (pKa ≈ 18 in solution). This is true because of three distinct interactions: (a) ground state pKa shifts due to environment polarity and electrostatics; (b) dramatic increases in effective molarity due to optimization of proximity and orientation; and (c) transition state pKa shifts due to binding interactions and the formation of strong low barrier hydrogen bonds. In this report, we review the literature showing that the sum of these three effects supplies more than enough free energy to push forward proton transfer reactions that under standard conditions are exceedingly nonspontaneous and slow.
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Mukherjee P, Chandra Singh P. Experimental insight into enzyme catalysis and dynamics: A review on applications of state of art spectroscopic methods. ADVANCES IN PROTEIN CHEMISTRY AND STRUCTURAL BIOLOGY 2021; 122:33-62. [PMID: 32951815 DOI: 10.1016/bs.apcsb.2020.06.003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Enzymes are dynamic in nature and understanding their activity depends on exploring their overall structural fluctuation as well as transformation at the active site in free state as well as turnover conditions. In this chapter, the application of several different spectroscopy techniques viz. single molecule spectroscopy, ultrafast spectroscopy and Raman spectroscopy in the context of enzyme dynamics and catalysis are discussed. The importance of such studies are significant in the understanding of new discoveries of drugs, cure for some lethal diseases, gene modification as well as in industrial applications.
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Affiliation(s)
- Puspal Mukherjee
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Kolkata, West Bengal, India
| | - Prashant Chandra Singh
- School of Chemical Sciences, Indian Association for the Cultivation of Science, Kolkata, West Bengal, India
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10
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Shaik S, Danovich D, Joy J, Wang Z, Stuyver T. Electric-Field Mediated Chemistry: Uncovering and Exploiting the Potential of (Oriented) Electric Fields to Exert Chemical Catalysis and Reaction Control. J Am Chem Soc 2020; 142:12551-12562. [PMID: 32551571 DOI: 10.1021/jacs.0c05128] [Citation(s) in RCA: 142] [Impact Index Per Article: 35.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Abstract
This Perspective discusses oriented external-electric-fields (OEEF), and other electric-field types, as "smart reagents", which enable in principle control over wide-ranging aspects of reactivity and structure. We discuss the potential of OEEFs to control nonredox reactions and impart rate-enhancement and selectivity. An OEEF along the "reaction axis", which is the direction whereby electronic reorganization converts reactants' to products' bonding, will accelerate reactions, control regioselectivity, induce spin-state selectivity, and elicit mechanistic crossovers. Simply flipping the direction of the OEEF will lead to inhibition. Orienting the OEEF off the reaction axis enables control over stereoselectivity, enantioselectivity, and product selectivity. For polar/polarizable reactants, the OEEF itself will act as tweezers, which orient the reactants and drive their reaction. OEEFs also affect bond-dissociation energies and dissociation modes (covalent vs ionic), as well as alteration of molecular geometries and supramolecular aggregation. The "key" to gaining access to this toolbox provided by OEEFs is microscopic control over the alignment between the molecule and the applied field. We discuss the elegant experimental methods which have been used to verify the theoretical predictions and describe various alternative EEF sources and prospects for upscaling OEEF catalysis in solvents. We also demonstrate the numerous ways in which the OEEF effects can be mimicked by use of (designed) local-electric fields (LEFs), i.e., by embedding charges or dipoles into molecules. LEFs and OEEFs are shown to be equivalent and to obey the same ground rules. Outcomes are exemplified for Diels-Alder cycloadditions, oxidative addition of bonds by transition-metal complexes, H-abstractions by oxo-metal species, ionic cleavage of halogen bonds, methane activation, etc.
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Affiliation(s)
- Sason Shaik
- Institute of Chemistry, Edmond J. Safra Compus at Givat Ram, The Hebrew University, Jerusalem 91904, Israel
| | - David Danovich
- Institute of Chemistry, Edmond J. Safra Compus at Givat Ram, The Hebrew University, Jerusalem 91904, Israel
| | - Jyothish Joy
- Institute of Chemistry, Edmond J. Safra Compus at Givat Ram, The Hebrew University, Jerusalem 91904, Israel
| | - Zhanfeng Wang
- Institute of Chemistry, Edmond J. Safra Compus at Givat Ram, The Hebrew University, Jerusalem 91904, Israel
| | - Thijs Stuyver
- Institute of Chemistry, Edmond J. Safra Compus at Givat Ram, The Hebrew University, Jerusalem 91904, Israel.,Algemene Chemie, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium
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11
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Crystallographic and Computational Characterization of Methyl Tetrel Bonding in S-Adenosylmethionine-Dependent Methyltransferases. Molecules 2018; 23:molecules23112965. [PMID: 30428636 PMCID: PMC6278250 DOI: 10.3390/molecules23112965] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2018] [Revised: 10/19/2018] [Accepted: 10/20/2018] [Indexed: 11/17/2022] Open
Abstract
Tetrel bonds represent a category of non-bonding interaction wherein an electronegative atom donates a lone pair of electrons into the sigma antibonding orbital of an atom in the carbon group of the periodic table. Prior computational studies have implicated tetrel bonding in the stabilization of a preliminary state that precedes the transition state in SN2 reactions, including methyl transfer. Notably, the angles between the tetrel bond donor and acceptor atoms coincide with the prerequisite geometry for the SN2 reaction. Prompted by these findings, we surveyed crystal structures of methyltransferases in the Protein Data Bank and discovered multiple instances of carbon tetrel bonding between the methyl group of the substrate S-adenosylmethionine (AdoMet) and electronegative atoms of small molecule inhibitors, ions, and solvent molecules. The majority of these interactions involve oxygen atoms as the Lewis base, with the exception of one structure in which a chlorine atom of an inhibitor functions as the electron donor. Quantum mechanical analyses of a representative subset of the methyltransferase structures from the survey revealed that the calculated interaction energies and spectral properties are consistent with the values for bona fide carbon tetrel bonds. The discovery of methyl tetrel bonding offers new insights into the mechanism underlying the SN2 reaction catalyzed by AdoMet-dependent methyltransferases. These findings highlight the potential of exploiting these interactions in developing new methyltransferase inhibitors.
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12
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A review on enzymatic polymerization to produce polycondensation polymers: The case of aliphatic polyesters, polyamides and polyesteramides. Prog Polym Sci 2018. [DOI: 10.1016/j.progpolymsci.2017.10.001] [Citation(s) in RCA: 99] [Impact Index Per Article: 16.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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13
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Wang X, Chen S, Wu D, Wu Q, Wei Q, He B, Lu Q, Wang Q. Oxidoreductase-Initiated Radical Polymerizations to Design Hydrogels and Micro/Nanogels: Mechanism, Molding, and Applications. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2018; 30:e1705668. [PMID: 29504155 DOI: 10.1002/adma.201705668] [Citation(s) in RCA: 45] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/29/2017] [Revised: 11/16/2017] [Indexed: 06/08/2023]
Abstract
Due to their 3D cross-linked networks and tunable physicochemical properties, polymer hydrogels with different sizes are applied widely in tissue engineering, drug-delivery systems, pollution regulation, ionic conducting electrolytes, agricultural drought-resistance, cosmetics, and the food industry. Novel, environmentally friendly, and efficient oxidoreductase-initiated radical polymerizations to design hydrogels and micro/nanogels have gained increasing attention. Herein, the recent advances on the use of novel enzyme-initiated systems for hydrogel polymerization, including the mechanisms, and molding of polymeric and hybrid-polymeric networks are reviewed. Preliminary progress related to interfacial enzymatic polymerization for the generation of hybrid micro/nanogels is introduced as an emerging initiating approach. In addition, certain biological applications in tissue engineering, bioimaging, and therapy are demonstrated step by step. Finally, some perspectives on the safety profile of enzymatic formed hydrogels, new enzymatic systems, and potential theranostic applications are discussed.
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Affiliation(s)
- Xia Wang
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Shuangshuang Chen
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Dongbei Wu
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Qing Wu
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Qingcong Wei
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Bin He
- Department of Control Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Qinghua Lu
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
| | - Qigang Wang
- School of Chemical Science and Engineering, Tongji University, Shanghai, 200092, P. R. China
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14
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Shoda SI, Uyama H, Kadokawa JI, Kimura S, Kobayashi S. Enzymes as Green Catalysts for Precision Macromolecular Synthesis. Chem Rev 2016; 116:2307-413. [PMID: 26791937 DOI: 10.1021/acs.chemrev.5b00472] [Citation(s) in RCA: 303] [Impact Index Per Article: 37.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
The present article comprehensively reviews the macromolecular synthesis using enzymes as catalysts. Among the six main classes of enzymes, the three classes, oxidoreductases, transferases, and hydrolases, have been employed as catalysts for the in vitro macromolecular synthesis and modification reactions. Appropriate design of reaction including monomer and enzyme catalyst produces macromolecules with precisely controlled structure, similarly as in vivo enzymatic reactions. The reaction controls the product structure with respect to substrate selectivity, chemo-selectivity, regio-selectivity, stereoselectivity, and choro-selectivity. Oxidoreductases catalyze various oxidation polymerizations of aromatic compounds as well as vinyl polymerizations. Transferases are effective catalysts for producing polysaccharide having a variety of structure and polyesters. Hydrolases catalyzing the bond-cleaving of macromolecules in vivo, catalyze the reverse reaction for bond forming in vitro to give various polysaccharides and functionalized polyesters. The enzymatic polymerizations allowed the first in vitro synthesis of natural polysaccharides having complicated structures like cellulose, amylose, xylan, chitin, hyaluronan, and chondroitin. These polymerizations are "green" with several respects; nontoxicity of enzyme, high catalyst efficiency, selective reactions under mild conditions using green solvents and renewable starting materials, and producing minimal byproducts. Thus, the enzymatic polymerization is desirable for the environment and contributes to "green polymer chemistry" for maintaining sustainable society.
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Affiliation(s)
- Shin-ichiro Shoda
- Department of Biomolecular Engineering, Graduate School of Engineering, Tohoku University , Aoba-ku, Sendai 980-8579, Japan
| | - Hiroshi Uyama
- Department of Applied Chemistry, Graduate School of Engineering, Osaka University , Yamadaoka, Suita 565-0871, Japan
| | - Jun-ichi Kadokawa
- Department of Chemistry, Biotechnology, and Chemical Engineering, Graduate School of Science and Engineering, Kagoshima University , Korimoto, Kagoshima 890-0065, Japan
| | - Shunsaku Kimura
- Department of Material Chemistry, Graduate School of Engineering, Kyoto University , Katsura, Nishikyo-ku, Kyoto 615-8510, Japan
| | - Shiro Kobayashi
- Center for Fiber & Textile Science, Kyoto Institute of Technology , Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan
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15
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Lima AH, Alves CN, Prasad R, Lameira J. Exploring the origin of the catalytic power and product specificity of SET domain protein methyltransferase. MOLECULAR BIOSYSTEMS 2016; 12:2980-3. [DOI: 10.1039/c6mb00414h] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Computer simulation reveals that the origin of SET8 catalytic power is mainly due to electrostatic preorganization.
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Affiliation(s)
- A. H. Lima
- Faculdade de Biotecnologia e Laboratório de Planejamento e Desenvolvimento de Fármacos
- Universidade Federal do Pará
- Belém
- Brazil
| | - C. N. Alves
- Faculdade de Biotecnologia e Laboratório de Planejamento e Desenvolvimento de Fármacos
- Universidade Federal do Pará
- Belém
- Brazil
| | - R. Prasad
- Southern California
- Department of Chemistry
- SGM 418
- Los Angeles
- USA
| | - J. Lameira
- Faculdade de Biotecnologia e Laboratório de Planejamento e Desenvolvimento de Fármacos
- Universidade Federal do Pará
- Belém
- Brazil
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16
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Benighaus T, Thiel W. A General Boundary Potential for Hybrid QM/MM Simulations of Solvated Biomolecular Systems. J Chem Theory Comput 2015; 5:3114-28. [PMID: 26609991 DOI: 10.1021/ct900437b] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present a general boundary potential for the efficient and accurate evaluation of electrostatic interactions in hybrid quantum mechanical/molecular mechanical (QM/MM) approaches called solvated macromolecule boundary potential (SMBP), which is designed for QM/MM calculations with any kind of QM method. The SMBP targets QM/MM single-point energy calculations and geometry optimizations. In the SMBP scheme, the outer solvent and macromolecule region is described by a boundary potential obtained with the use of Poisson-Boltzmann calculations (treating the bulk solvent as a dielectric continuum). In the QM calculations, the SMBP is represented by virtual point charges on a surface enclosing the explicitly treated inner region. These charges and their interactions with the QM density are determined through a self-consistent reaction field procedure. The accuracy of the SMBP is evaluated on three diverse test systems: the intramolecular proton transfer of glycine in water, the hydroxylation reaction in p-hydroxybenzoate hydroxylase, and the spin state energy splittings in the pentacoordinated ferric complex of cytochrome P450cam. In the case of solvated glycine, application of the SMBP turns out to be problematic since analogous QM/MM/SMBP and full QM/MM geometry optimizations lead to different close-lying local minima. In both enzymes, the SMBP performs very well and closely reproduces the results from full QM/MM optimizations of these more rigid test systems. Starting from optimized QM/MM/SMBP structures along a reaction path, one can apply the previously implemented generalized solvent boundary potential (GSBP) to sample over MM phase space in QM/MM free energy calculations within the framework of free energy perturbation theory. This reduces the overall computational costs of sampling by 1 order of magnitude while maintaining good accuracy. The combined use of SMBP and GSBP thus allows for efficient QM/MM free energy studies of enzymes.
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Affiliation(s)
- Tobias Benighaus
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1 45470, Mülheim an der Ruhr, Germany
| | - Walter Thiel
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1 45470, Mülheim an der Ruhr, Germany
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17
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The entropic contributions in vitamin B12 enzymes still reflect the electrostatic paradigm. Proc Natl Acad Sci U S A 2015; 112:4328-33. [PMID: 25805820 DOI: 10.1073/pnas.1503828112] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
Abstract
The catalytic power of enzymes containing coenzyme B12 has been, in some respects, the "last bastion" for the strain hypothesis. Our previous study of this system established by a careful sampling that the major part of the catalytic effect is due to the electrostatic interaction between the ribose of the ado group and the protein and that the strain contribution is very small. This finding has not been sufficiently appreciated due to misunderstandings of the power of the empirical valence bond (EVB) calculations and the need of sufficient sampling. Furthermore, some interesting new experiments point toward entropic effects as the source of the catalytic power, casting doubt on the validity of the electrostatic idea, at least, in the case of B12 enzymes. Here, we focus on the observation of the entropic effects and on analyzing their origin. We clarify that our EVB approach evaluates free energies rather than enthalpies and demonstrate by using the restraint release (RR) approach that the observed entropic contribution to the activation barrier is of electrostatic origin. Our study illustrates the power of the RR approach by evaluating the entropic contributions to catalysis and provides further support to our paradigm for the origin of the catalytic power of B12 enzymes. Overall, our study provides major support to our electrostatic preorganization idea and also highlights the basic requirements from ab initio quantum mechanics/molecular mechanics calculations of activation free energies of enzymatic reactions.
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18
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Lameira J, Ram Prasad B, Chu ZT, Warshel A. Methyltransferases do not work by compression, cratic, or desolvation effects, but by electrostatic preorganization. Proteins 2015; 83:318-30. [PMID: 25388538 PMCID: PMC4300294 DOI: 10.1002/prot.24717] [Citation(s) in RCA: 51] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2014] [Revised: 10/30/2014] [Accepted: 11/03/2014] [Indexed: 11/05/2022]
Abstract
The enzyme catechol O-methyltransferase (COMT) catalyzes the transfer of a methyl group from S-adenosylmethionine to dopamine and related catechols. The search for the origin of COMT catalysis has led to different proposals and hypothesis, including the entropic, the NAC, and the compression proposals as well as the more reasonable electrostatic idea. Thus, it is important to understand the catalytic power of this enzyme and to examine the validity of different proposals and in particular the repeated recent implication of the compression idea. The corresponding analysis should be done by well-defined physically-based considerations that involve computations rather than circular interpretations of experimental results. Thus, we explore here the origin of the catalytic efficiency of COMT by using the empirical valence bond and the linear response approximation approaches. The results demonstrate that the catalytic effect of COMT is mainly due to electrostatic preorganization effects. It is also shown that the compression, NAC and entropic proposals do not account for the catalytic effect.
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Affiliation(s)
- Jeronimo Lameira
- University of Southern California, Department of Chemistry, SGM 418, 3620 McClintosk Avenue, Los Angeles, California 90089, United States
- Faculdade de Biotecnologia e Laboratório de Planejamento e Desenvolvimento de Fármacos; Universidade Federal do Pará, 66075-110, Belém, PA, Brazil
| | - B Ram Prasad
- University of Southern California, Department of Chemistry, SGM 418, 3620 McClintosk Avenue, Los Angeles, California 90089, United States
| | - Zhen T. Chu
- University of Southern California, Department of Chemistry, SGM 418, 3620 McClintosk Avenue, Los Angeles, California 90089, United States
| | - Arieh Warshel
- University of Southern California, Department of Chemistry, SGM 418, 3620 McClintosk Avenue, Los Angeles, California 90089, United States
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Polyak I, Benighaus T, Boulanger E, Thiel W. Quantum mechanics/molecular mechanics dual Hamiltonian free energy perturbation. J Chem Phys 2014; 139:064105. [PMID: 23947841 DOI: 10.1063/1.4817402] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The dual Hamiltonian free energy perturbation (DH-FEP) method is designed for accurate and efficient evaluation of the free energy profile of chemical reactions in quantum mechanical/molecular mechanical (QM/MM) calculations. In contrast to existing QM/MM FEP variants, the QM region is not kept frozen during sampling, but all degrees of freedom except for the reaction coordinate are sampled. In the DH-FEP scheme, the sampling is done by semiempirical QM/MM molecular dynamics (MD), while the perturbation energy differences are evaluated from high-level QM/MM single-point calculations at regular intervals, skipping a pre-defined number of MD sampling steps. After validating our method using an analytic model potential with an exactly known solution, we report a QM/MM DH-FEP study of the enzymatic reaction catalyzed by chorismate mutase. We suggest guidelines for QM/MM DH-FEP calculations and default values for the required computational parameters. In the case of chorismate mutase, we apply the DH-FEP approach in combination with a single one-dimensional reaction coordinate and with a two-dimensional collective coordinate (two individual distances), with superior results for the latter choice.
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Affiliation(s)
- Iakov Polyak
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, D-45470 Mülheim an der Ruhr, Germany
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20
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Ciric J, Petrovic DM, Loos K. Polysaccharide Biocatalysis: From Synthesizing Carbohydrate Standards to Establishing Characterization Methods. MACROMOL CHEM PHYS 2014. [DOI: 10.1002/macp.201300801] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- Jelena Ciric
- Department of Polymer Chemistry & Zernike Institute for Advanced Materials; University of Groningen; Nijenborgh 4 9747 AG Groningen The Netherlands
| | - Dejan M. Petrovic
- Department of Polymer Chemistry & Zernike Institute for Advanced Materials; University of Groningen; Nijenborgh 4 9747 AG Groningen The Netherlands
| | - Katja Loos
- Department of Polymer Chemistry & Zernike Institute for Advanced Materials; University of Groningen; Nijenborgh 4 9747 AG Groningen The Netherlands
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21
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Nangia S, Anderson JB. Temperature effects on enzyme-catalyzed reactions within a cell: Monte Carlo simulations for coupled reaction and diffusion. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2012.11.079] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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22
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Ferrer S, Ruiz-Pernía J, Martí S, Moliner V, Tuñón I, Bertrán J, Andrés J. Hybrid schemes based on quantum mechanics/molecular mechanics simulations goals to success, problems, and perspectives. ADVANCES IN PROTEIN CHEMISTRY AND STRUCTURAL BIOLOGY 2012; 85:81-142. [PMID: 21920322 DOI: 10.1016/b978-0-12-386485-7.00003-x] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/13/2023]
Abstract
The development of characterization techniques, advanced synthesis methods, as well as molecular modeling has transformed the study of systems in a well-established research field. The current research challenges in biocatalysis and biotransformation evolve around enzyme discovery, design, and optimization. How can we find or create enzymes that catalyze important synthetic reactions, even reactions that may not exist in nature? What is the source of enzyme catalytic power? To answer these and other related questions, the standard strategies have evolved from trial-and-error methodologies based on chemical knowledge, accumulated experience, and common sense into a clearly multidisciplinary science that allows one to reach the molecular design of tailor-made enzyme catalysts. This is even more so when one refers to enzyme catalysts, for which the detailed structure and composition are known and can be manipulated to introduce well-defined residues which can be implicated in the chemical rearrangements taking place in the active site. The methods and techniques of theoretical and computational chemistry are becoming more and more important in both understanding the fundamental biological roles of enzymes and facilitating their utilization in biotechnology. Improvement of the catalytic function of enzymes is important from scientific and industrial viewpoints, and to put this fact in the actual perspective as well as the potentialities, we recommend the very recent report of Sanderson [Sanderson, K. (2011). Chemistry: enzyme expertise. Nature 471, 397.]. Great fundamental advances have been made toward the ab initio design of enzyme catalysts based on molecular modeling. This has been based on the molecular mechanistic knowledge of the reactions to be catalyzed, together with the development of advanced synthesis and characterization techniques. The corresponding molecular mechanism can be studied by means of powerful quantum chemical calculations. The catalytic active site can be optimized to improve the transition state analogues (TSA) and to enhance the catalytic activity, even improve the active site to favor a desired direction of some promiscuous enzymes. In this chapter, we give a brief introduction, the state of the art, and future prospects and implications of enzyme design. Current computational tools to assist experimentalists for the design and engineering of proteins with desired catalytic properties are described. The interplay between enzyme design, molecular simulations, and experiments will be presented to emphasize the interdisciplinary nature of this research field. This text highlights the recent advances and examples selected from our laboratory are shown, of how the applications of these tools are a first attempt to de novo design of protein active sites. Identification of neutral/advantageous/deleterious mutation platforms can be exploited to penetrate some of Nature's closely guarded secrets of chemical reactivity. In this chapter, we give a brief introduction, the state of the art, and future prospects and implications of enzyme design. The first part describes briefly how the molecular modeling is carried out. Then, we discuss the requirements of hybrid quantum mechanical/molecular mechanics molecular dynamics (QM/MM MD) simulations, analyzing what are the basis of these theoretical methodologies, how we can use them with a view to its application in the study of enzyme catalysis, and what are the best methodologies for assessing its catalytic potential. In the second part, we focus on some selected examples, taking as a common guide the chorismate to prephenate rearrangement, studying the corresponding molecular mechanism in vacuo, in solution and in an enzyme environment. In addition, examples involving catalytic antibodies (CAs) and promiscuous enzymes will be presented. Finally, a special emphasis is made to provide some hints about the logical evolution that can be anticipated in this research field. Moreover, it helps in understanding the open directions in this area of knowledge and highlights the importance of computational approaches in discovering specific drugs and the impact on the rational design of tailor-made enzymes.
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Affiliation(s)
- Silvia Ferrer
- Departamento de Química Física y Analítica, Universitat Jaume I, Castellón, Spain
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23
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Affiliation(s)
- Jun-ichi Kadokawa
- Graduate School of Science and Engineering, Kagoshima University, 1-21-40 Korimoto, Kagoshima 890-0065, Japan.
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24
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Tuñón I, Hynes JT. A Simple Model for Barrier Frequencies for Enzymatic Reactions. Chemphyschem 2010; 12:184-90. [DOI: 10.1002/cphc.201000774] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2010] [Indexed: 11/10/2022]
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25
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Makino A, Kobayashi S. Chemistry of 2-oxazolines: A crossing of cationic ring-opening polymerization and enzymatic ring-opening polyaddition. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/pola.23906] [Citation(s) in RCA: 90] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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26
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David C, Enescu M. Free Energy Calculations on Disulfide Bridges Reduction in Proteins by Combining ab Initio and Molecular Mechanics Methods. J Phys Chem B 2010; 114:3020-7. [DOI: 10.1021/jp910340t] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Catalina David
- Laboratoire de Chimie Physique et Rayonnement, UMR CEA E4, University of Franche-Comte, 16 route de Gray, 25030 Besancon, France
| | - Mironel Enescu
- Laboratoire de Chimie Physique et Rayonnement, UMR CEA E4, University of Franche-Comte, 16 route de Gray, 25030 Besancon, France
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27
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Theoretical QM/MM studies of enzymatic pericyclic reactions. Interdiscip Sci 2010; 2:115-31. [DOI: 10.1007/s12539-010-0095-9] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/07/2009] [Revised: 12/07/2009] [Accepted: 12/09/2009] [Indexed: 11/25/2022]
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28
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Kobayashi S, Makino A. Enzymatic polymer synthesis: an opportunity for green polymer chemistry. Chem Rev 2010; 109:5288-353. [PMID: 19824647 DOI: 10.1021/cr900165z] [Citation(s) in RCA: 409] [Impact Index Per Article: 29.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Shiro Kobayashi
- R & D Center for Bio-based Materials, Kyoto Institute of Technology, Kyoto 606-8585, Japan.
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29
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Cisneros GA, Perera L, Schaaper RM, Pedersen LC, London RE, Pedersen LG, Darden TA. Reaction mechanism of the epsilon subunit of E. coli DNA polymerase III: insights into active site metal coordination and catalytically significant residues. J Am Chem Soc 2009; 131:1550-6. [PMID: 19119875 DOI: 10.1021/ja8082818] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Abstract
The 28 kDa epsilon subunit of Escherichia coli DNA polymerase III is the exonucleotidic proofreader responsible for editing polymerase insertion errors. Here, we study the mechanism by which epsilon carries out the exonuclease activity. We performed quantum mechanics/molecular mechanics calculations on the N-terminal domain containing the exonuclease activity. Both the free-epsilon and a complex epsilon bound to a theta homologue (HOT) were studied. For the epsilon-HOT complex Mg(2+) or Mn(2+) were investigated as the essential divalent metal cofactors, while only Mg(2+) was used for free-epsilon. In all calculations a water molecule bound to the catalytic metal acts as the nucleophile for hydrolysis of the phosphate bond. Initially, a direct proton transfer to H162 is observed. Subsequently, the nucleophilic attack takes place followed by a second proton transfer to E14. Our results show that the reaction catalyzed with Mn(2+) is faster than that with Mg(2+), in agreement with experiment. In addition, the epsilon-HOT complex shows a slightly lower energy barrier compared to free-epsilon. In all cases the catalytic metal is observed to be pentacoordinated. Charge and frontier orbital analyses suggest that charge transfer may stabilize the pentacoordination. Energy decomposition analysis to study the contribution of each residue to catalysis suggests that there are several important residues. Among these, H98, D103, D129, and D146 have been implicated in catalysis by mutagenesis studies. Some of these residues were found to be structurally conserved on human TREX1, the exonuclease domains from E. coli DNA-Pol I, and the DNA polymerase of bacteriophage RB69.
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Affiliation(s)
- G Andrés Cisneros
- Laboratory of Structural Biology, National Institute of Environmental Health Sciences, Research Triangle Park, North Carolina 27709, USA.
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Kamerlin SCL, Haranczyk M, Warshel A. Progress in ab initio QM/MM free-energy simulations of electrostatic energies in proteins: accelerated QM/MM studies of pKa, redox reactions and solvation free energies. J Phys Chem B 2009; 113:1253-72. [PMID: 19055405 PMCID: PMC2679392 DOI: 10.1021/jp8071712] [Citation(s) in RCA: 241] [Impact Index Per Article: 16.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Hybrid quantum mechanical/molecular mechanical (QM/MM) approaches have been used to provide a general scheme for chemical reactions in proteins. However, such approaches still present a major challenge to computational chemists, not only because of the need for very large computer time in order to evaluate the QM energy but also because of the need for proper computational sampling. This review focuses on the sampling issue in QM/MM evaluations of electrostatic energies in proteins. We chose this example since electrostatic energies play a major role in controlling the function of proteins and are key to the structure-function correlation of biological molecules. Thus, the correct treatment of electrostatics is essential for the accurate simulation of biological systems. Although we will be presenting different types of QM/MM calculations of electrostatic energies (and related properties) here, our focus will be on pKa calculations. This reflects the fact that pKa's of ionizable groups in proteins provide one of the most direct benchmarks for the accuracy of electrostatic models of macromolecules. While pKa calculations by semimacroscopic models have given reasonable results in many cases, existing attempts to perform pKa calculations using QM/MM-FEP have led to discrepancies between calculated and experimental values. In this work, we accelerate our QM/MM calculations using an updated mean charge distribution and a classical reference potential. We examine both a surface residue (Asp3) of the bovine pancreatic trypsin inhibitor and a residue buried in a hydrophobic pocket (Lys102) of the T4-lysozyme mutant. We demonstrate that, by using this approach, we are able to reproduce the relevant side chain pKa's with an accuracy of 3 kcal/mol. This is well within the 7 kcal/mol energy difference observed in studies of enzymatic catalysis, and is thus sufficient accuracy to determine the main contributions to the catalytic energies of enzymes. We also provide an overall perspective of the potential of QM/MM calculations in general evaluations of electrostatic free energies, pointing out that our approach should provide a very powerful and accurate tool to predict the electrostatics of not only solution but also enzymatic reactions, as well as the solvation free energies of even larger systems, such as nucleic acid bases incorporated into DNA.
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Affiliation(s)
- Shina C. L. Kamerlin
- Department of Chemistry, University of Southern California, 418 SGM Building, 3620 McClintock Avenue, Los Angeles, CA 90089-1062, USA
| | - Maciej Haranczyk
- Department of Chemistry, University of Southern California, 418 SGM Building, 3620 McClintock Avenue, Los Angeles, CA 90089-1062, USA
- Computational Research Division, Lawrence Berkeley National Laboratory, One Cyclotron Road, Mail Stop 50F-1650, Berkeley, CA 94720-8139, USA
| | - Arieh Warshel
- Department of Chemistry, University of Southern California, 418 SGM Building, 3620 McClintock Avenue, Los Angeles, CA 90089-1062, USA
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32
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Yamamoto T. Variational and perturbative formulations of quantum mechanical/molecular mechanical free energy with mean-field embedding and its analytical gradients. J Chem Phys 2008; 129:244104. [DOI: 10.1063/1.3041381] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
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33
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Kaukonen M, Söderhjelm P, Heimdal J, Ryde U. QM/MM−PBSA Method To Estimate Free Energies for Reactions in Proteins. J Phys Chem B 2008; 112:12537-48. [DOI: 10.1021/jp802648k] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Markus Kaukonen
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Pär Söderhjelm
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Jimmy Heimdal
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Ulf Ryde
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
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34
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Catalytic mechanism of human DNA polymerase lambda with Mg2+ and Mn2+ from ab initio quantum mechanical/molecular mechanical studies. DNA Repair (Amst) 2008; 7:1824-34. [PMID: 18692600 DOI: 10.1016/j.dnarep.2008.07.007] [Citation(s) in RCA: 49] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/02/2008] [Revised: 06/24/2008] [Accepted: 07/10/2008] [Indexed: 11/20/2022]
Abstract
DNA polymerases play a crucial role in the cell cycle due to their involvement in genome replication and repair. Understanding the reaction mechanism by which these polymerases carry out their function can provide insights into these processes. Recently, the crystal structures of human DNA polymerase lambda (Pollambda) have been reported both for pre- and post-catalytic complexes [García-Díaz et al., DNA Repair 3 (2007), 1333]. Here we employ the pre-catalytic complex as a starting structure for the determination of the catalytic mechanism of Pollambda using ab initio quantum mechanical/molecular mechanical methods. The reaction path has been calculated using Mg(2+) and Mn(2+) as the catalytic metals. In both cases the reaction proceeds through a two-step mechanism where the 3'-OH of the primer sugar ring is deprotonated by one of the conserved Asp residues (D490) in the active site before the incorporation of the nucleotide to the nascent DNA chain. A significant charge transfer is observed between both metals and some residues in the active site as the reaction proceeds. The optimized reactant and product structures agree with the reported crystal structures. In addition, the calculated reaction barriers for both metals are close to experimentally estimated barriers. Energy decomposition analysis to explain individual residue contributions suggests that several amino acids surrounding the active site are important for catalysis. Some of these residues, including R420, R488 and E529, have been implicated in catalysis by previous mutagenesis experiments on the homologous residues on Polbeta. Furthermore, Pollambda residues R420 and E529 found to be important from the energy decomposition analysis, are homologous to residues R183 and E295 in Polbeta, both of which are linked to cancer. In addition, residues R386, E391, K422 and K472 appear to have an important role in catalysis and could be a potential target for mutagenesis experiments. There is partial conservation of these residues across the Pol X family of DNA polymerases.
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35
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Díaz N, Suárez D. Peptide hydrolysis catalyzed by matrix metalloproteinase 2: a computational study. J Phys Chem B 2008; 112:8412-24. [PMID: 18570467 DOI: 10.1021/jp803509h] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The MMP-2 reaction mechanism is investigated by using different computational methodologies. First, quantum mechanical (QM) calculations are carried out on a cluster model of the active site bound to an Ace-Gly approximately Ile-Nme peptide. Along the QM reaction path, a Zn-bound water molecule attacks the Gly carbonyl group to give a tetrahedral intermediate. The breaking of the C-N bond is completed thanks to the Glu 404 residue that shuttles a proton from the water molecule to Ile-N atom. The gas-phase QM energy barrier is quite low ( approximately 14 kcal/mol), thus suggesting that the essential catalytic machinery is included in the cluster model. A similar reaction path occurs in the MMP-2 catalytic domain bound to an octapeptide substrate according to hybrid QM and molecular mechanical (QM/MM) geometry optimizations. However, the rupture of the Gly( P 1) approximately Ile( P 1') amide bond is destabilized in the static QM/MM calculations, owing to the positioning of the Ile( P 1') side chain inside the MMP-2 S 1' pocket and to the inability of simple energy miminization methodologies to properly relax complex systems. Molecular dynamics simulations show that these steric limitations are overcome easily through structural fluctuations. The energetic effect of structural fluctuations is taken into account by combining QM energies with average MM Poisson-Boltzmann free energies, resulting in a total free energy barrier of 14.8 kcal/mol in good agreement with experimental data. The rate-determining event in the MMP-2 mechanism corresponds to a H-bond rearrangement involving the Glu 404 residue and/or the Glu 404-COOH --> N-Ile( P 1') proton transfer. Overall, the present computational results and previous experimental data complement each other well in order to provide a detailed view of the MMPs catalytic mechanism.
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Affiliation(s)
- Natalia Díaz
- Departamento de Quimica Fisica y Analitica, Universidad de Oviedo. C/ Julian Claveria, 8, 33006, Oviedo (Asturias), Spain.
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36
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Kaukonen M, Söderhjelm P, Heimdal J, Ryde U. Proton Transfer at Metal Sites in Proteins Studied by Quantum Mechanical Free-Energy Perturbations. J Chem Theory Comput 2008; 4:985-1001. [DOI: 10.1021/ct700347h] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Markus Kaukonen
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Pär Söderhjelm
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Jimmy Heimdal
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
| | - Ulf Ryde
- Department of Theoretical Chemistry, Lund University, Chemical Centre, P.O. Box 124, SE-221 00 Lund, Sweden
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37
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Higashi M, Truhlar DG. Electrostatically Embedded Multiconfiguration Molecular Mechanics Based on the Combined Density Functional and Molecular Mechanical Method. J Chem Theory Comput 2008; 4:790-803. [DOI: 10.1021/ct800004y] [Citation(s) in RCA: 49] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Affiliation(s)
- Masahiro Higashi
- Department of Chemistry and Supercomputing Institute, 207 Pleasant Street SE, University of Minnesota, Minneapolis, Minnesota 55455-0431
| | - Donald G. Truhlar
- Department of Chemistry and Supercomputing Institute, 207 Pleasant Street SE, University of Minnesota, Minneapolis, Minnesota 55455-0431
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38
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Castillo R, Roca M, Soriano A, Moliner V, Tuñón I. Using Grote−Hynes Theory To Quantify Dynamical Effects on the Reaction Rate of Enzymatic Processes. The Case of Methyltransferases. J Phys Chem B 2007; 112:529-34. [DOI: 10.1021/jp077660b] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Raquel Castillo
- Departamento de Química Física y Analítica, Universidad Jaume I, 12071 Castellón, Spain, Department of Chemistry, University of Southern California, Los Angeles, California 90089-1062, and Departamento de Química Física, Universidad de Valencia, 46100 Burjassot, Spain
| | - Maite Roca
- Departamento de Química Física y Analítica, Universidad Jaume I, 12071 Castellón, Spain, Department of Chemistry, University of Southern California, Los Angeles, California 90089-1062, and Departamento de Química Física, Universidad de Valencia, 46100 Burjassot, Spain
| | - Alejandro Soriano
- Departamento de Química Física y Analítica, Universidad Jaume I, 12071 Castellón, Spain, Department of Chemistry, University of Southern California, Los Angeles, California 90089-1062, and Departamento de Química Física, Universidad de Valencia, 46100 Burjassot, Spain
| | - Vicente Moliner
- Departamento de Química Física y Analítica, Universidad Jaume I, 12071 Castellón, Spain, Department of Chemistry, University of Southern California, Los Angeles, California 90089-1062, and Departamento de Química Física, Universidad de Valencia, 46100 Burjassot, Spain
| | - Iñaki Tuñón
- Departamento de Química Física y Analítica, Universidad Jaume I, 12071 Castellón, Spain, Department of Chemistry, University of Southern California, Los Angeles, California 90089-1062, and Departamento de Química Física, Universidad de Valencia, 46100 Burjassot, Spain
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39
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Olsson MHM, Parson WW, Warshel A. Dynamical contributions to enzyme catalysis: critical tests of a popular hypothesis. Chem Rev 2007; 106:1737-56. [PMID: 16683752 DOI: 10.1021/cr040427e] [Citation(s) in RCA: 254] [Impact Index Per Article: 14.9] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Mats H M Olsson
- Department of Chemistry, University of Southern California, 3620 McClintock Avenue, Los Angeles, California 90089-1062, USA.
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40
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Warshel A, Sharma PK, Kato M, Xiang Y, Liu H, Olsson MHM. Electrostatic basis for enzyme catalysis. Chem Rev 2007; 106:3210-35. [PMID: 16895325 DOI: 10.1021/cr0503106] [Citation(s) in RCA: 966] [Impact Index Per Article: 56.8] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Arieh Warshel
- Department of Chemistry, University of Southern California, SGM Building 418, 3620 McClintock Avenue, Los Angeles, California 90089-1062, USA.
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41
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Fuhrmann CN, Daugherty MD, Agard DA. Subangstrom crystallography reveals that short ionic hydrogen bonds, and not a His-Asp low-barrier hydrogen bond, stabilize the transition state in serine protease catalysis. J Am Chem Soc 2007; 128:9086-102. [PMID: 16834383 DOI: 10.1021/ja057721o] [Citation(s) in RCA: 89] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
To address questions regarding the mechanism of serine protease catalysis, we have solved two X-ray crystal structures of alpha-lytic protease (alphaLP) that mimic aspects of the transition states: alphaLP at pH 5 (0.82 A resolution) and alphaLP bound to the peptidyl boronic acid inhibitor, MeOSuc-Ala-Ala-Pro-boroVal (0.90 A resolution). Based on these structures, there is no evidence of, or requirement for, histidine-flipping during the acylation step of the reaction. Rather, our data suggests that upon protonation of His57, Ser195 undergoes a conformational change that destabilizes the His57-Ser195 hydrogen bond, preventing the back-reaction. In both structures the His57-Asp102 hydrogen bond in the catalytic triad is a normal ionic hydrogen bond, and not a low-barrier hydrogen bond (LBHB) as previously hypothesized. We propose that the enzyme has evolved a network of relatively short hydrogen bonds that collectively stabilize the transition states. In particular, a short ionic hydrogen bond (SIHB) between His57 Nepsilon2 and the substrate's leaving group may promote forward progression of the TI1-to-acylenzyme reaction. We provide experimental evidence that refutes use of either a short donor-acceptor distance or a downfield 1H chemical shift as sole indicators of a LBHB.
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Affiliation(s)
- Cynthia N Fuhrmann
- Howard Hughes Medical Institute and Department of Biochemistry and Biophysics, University of California, San Francisco, San Francisco, California 94143-2240, USA
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Ruiz-Pernía JJ, Silla E, Tuñón I. Enzymatic Effects on Reactant and Transition States. The Case of Chalcone Isomerase. J Am Chem Soc 2007; 129:9117-24. [PMID: 17602559 DOI: 10.1021/ja071720+] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Chalcone isomerase catalyzes the transformation of chalcone to naringerin as a part of flavonoid biosynthetic pathways. The global reaction takes place through a conformational change of the substrate followed by chemical reaction, being thus an excellent example to analyze current theories about enzyme catalysis. We here present a detailed theoretical study of the enzymatic action on the conformational pre-equilibria and on the chemical steps for two different substrates of this enzyme. Free-energy profiles are obtained in terms of potentials of mean force using hybrid quantum mechanics/molecular mechanics potentials. The role of the enzyme becomes clear when compared to the counterpart equilibria and reactions in aqueous solution. The enzyme does not only favor the chemical reaction lowering the corresponding activation free energy but also displaces the conformational equilibria of the substrates toward the reactive form. These results, which can be rationalized in terms of the electrostatic interactions established in the active site between the substrate and the environment, agree with a more general picture of enzyme catalysis. According to this, an active site designed to accommodate the transition state of the reaction would also have consequences on the reactant state, stabilizing those forms which are geometrically and/or electronically closer to the transition structure.
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43
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Prat-Resina X, Gonzalez-Lafont A, Lluch JM. Reaction mechanism of the mandelate anion racemization catalyzed by mandelate racemase enzyme: a QM/MM molecular dynamics free energy study. J Phys Chem B 2007; 109:21089-101. [PMID: 16853732 DOI: 10.1021/jp052239d] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The present work studies the reaction mechanism of the racemization of mandelate substrate by mandelate racemase enzyme. The reaction has some intriguing aspects such as the deprotonation of a nonacid hydrogen and the achievement of the pseudosymmetry necessary to obtain the racemic mixture. We will make use of a QM/MM potential energy surface to compute the free energy profiles associated with the reaction. The most favorable reaction mechanism consists of two proton transfers and the configuration inversion of the stereogenic carbon taking place in a concerted manner. We have also designed a suitable reaction coordinate to compute the free energy profiles for this rather complicated reaction. In addition, analysis of the electrostatic effects and bond distances along the reaction will explain how the enzyme accomplishes the catalysis. Finally, the enzymatic reaction will be compared to a model of the uncatalyzed reaction and the catalytic effect of mandelate racemase will be evaluated.
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Affiliation(s)
- Xavier Prat-Resina
- Departament de Química, Universitat Autonoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
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44
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van der Kamp MW, Perruccio F, Mulholland AJ. Ab initio QM/MM modelling of acetyl-CoA deprotonation in the enzyme citrate synthase. J Mol Graph Model 2007; 26:676-90. [PMID: 17493853 DOI: 10.1016/j.jmgm.2007.04.002] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2007] [Revised: 04/05/2007] [Accepted: 04/05/2007] [Indexed: 11/25/2022]
Abstract
The first step of the reaction catalysed by the enzyme citrate synthase is studied here with high level combined quantum mechanical/molecular mechanical (QM/MM) methods (up to the MP2/6-31+G(d)//6-31G(d)/CHARMM level). In the first step of the reaction, acetyl-CoA is deprotonated by Asp375, producing an intermediate, which is the nucleophile for attack on the second substrate, oxaloacetate, prior to hydrolysis of the thioester bond of acetyl-CoA and release of the products. A central question has been whether the nucleophilic intermediate is the enolate of acetyl-CoA, the enol, or an 'enolic' intermediate stabilized by a 'low-barrier' hydrogen bond with His274 at the active site. The imidazole sidechain of His274 is neutral, and donates a hydrogen bond to the carbonyl oxygen of acetyl-CoA in substrate complexes. We have investigated the identity of the nucleophilic intermediate by QM/MM calculations on the substrate (keto), enolate, enol and enolic forms of acetyl-CoA at the active site of citrate synthase. The transition states for proton abstraction from acetyl-CoA by Asp375, and for transfer of the hydrogen bonded proton between His274 and acetyl-CoA have been modelled approximately. The effects of electron correlation are included by MP2/6-31G(d) and MP2/6-31+G(d) calculations on active site geometries produced by QM/MM energy minimization. The results do not support the hypothesis that a low-barrier hydrogen bond is involved in catalysis in citrate synthase, in agreement with earlier calculations. The acetyl-CoA enolate is identified as the only intermediate consistent with the experimental barrier for condensation, stabilized by conventional hydrogen bonds from His274 and a water molecule.
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45
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Cummins PL, Rostov IV, Gready JE. Calculation of a Complete Enzymic Reaction Surface: Reaction and Activation Free Energies for Hydride-Ion Transfer in Dihydrofolate Reductase. J Chem Theory Comput 2007; 3:1203-11. [DOI: 10.1021/ct600313b] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Peter L. Cummins
- Computational Proteomics Group, John Curtin School of Medical Research, Australian National University, P.O. Box 334, Canberra ACT 2601, Australia
| | - Ivan V. Rostov
- Computational Proteomics Group, John Curtin School of Medical Research, Australian National University, P.O. Box 334, Canberra ACT 2601, Australia
| | - Jill E. Gready
- Computational Proteomics Group, John Curtin School of Medical Research, Australian National University, P.O. Box 334, Canberra ACT 2601, Australia
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46
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Soriano A, Castillo R, Christov C, Andrés J, Moliner V, Tuñón I. Catalysis in glycine N-methyltransferase: testing the electrostatic stabilization and compression hypothesis. Biochemistry 2007; 45:14917-25. [PMID: 17154529 DOI: 10.1021/bi061319k] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Glycine N-methyltransferase (GNMT) is an S-adenosyl-l-methionine dependent enzyme that catalyzes glycine transformation to sarcosine. Here, we present a hybrid quantum mechanics/molecular mechanics (QM/MM) computational study of the reaction compared to the counterpart process in water. The process takes place through an SN2 mechanism in both media with a transition state in which the transferring methyl group is placed in between the donor (SAM) and the acceptor (the amine group of glycine). Comparative analysis of structural, electrostatic, and electronic characteristics of the in-solution and enzymatic transition states allows us to get a deeper insight into the origins of the enzyme's catalytic power. We found that the enzyme is able to stabilize the substrate in its more active basic form by means of a positively charged residue (Arg175) placed in the active site. However, the maximum stabilization is attained for the transition state. In this case, the enzyme is able to form stronger hydrogen bonds with the positively charged amine group. Finally, we show that in agreement with previous computational studies on other methyltransferases, there is no computational evidence for the compression hypothesis, as was formulated by Schowen (Hegazi, M. F., Borchardt, R. T., and Schowen, R. L. (1979) J. Am. Chem. Soc. 101, 4359-4365).
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Affiliation(s)
- Alejandro Soriano
- Departament de Ciències Experimentals, Universitat Jaume I, 12071 Castellón, Spain
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47
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Ruiz-Pernía JJ, Silla E, Tuñón I. Comparative Computational Analysis of Different Active Site Conformations and Substrates in a Chalcone Isomerase Catalyzed Reaction. J Phys Chem B 2006; 110:20686-92. [PMID: 17034260 DOI: 10.1021/jp0636470] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Chalcone isomerase catalyzes the transformation of chalcones to flavanones. We present a computational study of the rate-limiting chemical step, an intramolecular Michael addition of a 2'-oxyanion to the alpha,beta-double bound. By using quantum mechanical/molecular mechanical hybrid methods we traced the free-energy profiles associated with the reaction of two different substrates (chalcone and 6'-deoxychalcone) in two different conformations of the active site that are described in the different crystallographic structures available. We have obtained significant differences (about 4 kcal/mol) in the free-energy barriers calculated for the two active sites. According to our results, the active site conformation with larger catalytic power presents a positively charged lysine residue much closer to the substrate than the other. Complementary electronic and electrostatic analysis shows that the charge is transferred from the 2'-oxyanion to the beta-carbon atom. Interactions of the environment with these two atoms are essential to understand the differences between both active sites and also the origin of catalysis in this enzyme.
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48
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Ruiz-Pernía JJ, Silla E, Tuñón I, Martí S. Hybrid Quantum Mechanics/Molecular Mechanics Simulations with Two-Dimensional Interpolated Corrections: Application to Enzymatic Processes. J Phys Chem B 2006; 110:17663-70. [PMID: 16942112 DOI: 10.1021/jp063520a] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Hybrid quantum mechanics/molecular mechanics (QM/MM) techniques are widely used to study chemical reactions in large systems. Because of the computational cost associated with the high dimensionality of these systems, the quantum description is usually restricted to low-level methods, such as semiempirical Hamiltonians. In some cases, the description obtained at this computational level is quite poor and corrections must be considered. We here propose a simple but efficient way to include higher-level corrections to be used in potential energy surface explorations and in the calculation of potentials of mean force. We evaluate a correction energy term as the difference between a high-level and a low-level calculation on the QM subsystem, employing either the polarized or the gas-phase wave function, obtained as a function of two geometrical coordinates relevant in the process considered. Through the use of two-dimensional bicubic splines this correction energy is included in the simulations, ensuring the continuity and derivability of the energy function. We have tested the proposed scheme with two prototypical examples: the chorismate to prephenate rearrangement catalyzed by Bacillus subtilis chorismate mutase and the catechol methylation catalyzed by catechol O-methyltransferase. In both cases the use of interpolated corrections clearly improves the energetic and geometric descriptions of the reaction.
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Affiliation(s)
- J Javier Ruiz-Pernía
- Departament de Química Física/IcMol, Universidad de Valencia, 46100 Burjasot, Valencia, Spain
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Gao J, Ma S, Major DT, Nam K, Pu J, Truhlar DG. Mechanisms and free energies of enzymatic reactions. Chem Rev 2006; 106:3188-209. [PMID: 16895324 PMCID: PMC4477011 DOI: 10.1021/cr050293k] [Citation(s) in RCA: 317] [Impact Index Per Article: 17.6] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jiali Gao
- Department of Chemistry and Supercomputing Institute, Digital Technology Center, University of Minnesota, Minneapolis, Minnesota 55455
| | - Shuhua Ma
- Department of Chemistry and Supercomputing Institute, Digital Technology Center, University of Minnesota, Minneapolis, Minnesota 55455
| | - Dan T. Major
- Department of Chemistry and Supercomputing Institute, Digital Technology Center, University of Minnesota, Minneapolis, Minnesota 55455
| | - Kwangho Nam
- Department of Chemistry and Supercomputing Institute, Digital Technology Center, University of Minnesota, Minneapolis, Minnesota 55455
| | - Jingzhi Pu
- Department of Chemistry and Supercomputing Institute, Digital Technology Center, University of Minnesota, Minneapolis, Minnesota 55455
| | - Donald G. Truhlar
- Department of Chemistry and Supercomputing Institute, Digital Technology Center, University of Minnesota, Minneapolis, Minnesota 55455
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50
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Roca M, Moliner V, Tuñón I, Hynes JT. Coupling between Protein and Reaction Dynamics in Enzymatic Processes: Application of Grote−Hynes Theory to Catechol O-Methyltransferase. J Am Chem Soc 2006; 128:6186-93. [PMID: 16669689 DOI: 10.1021/ja058826u] [Citation(s) in RCA: 53] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The generalized Langevin equation (GLE)-based Grote-Hynes (GH) theory is used to calculate the transmission coefficients, kappa, for the methyl transfer from S-adenosylmethionine to catecholate both in aqueous solution and in the catechol O-methyltransferase active site. Values of kappa, which measures the deviation of the rate constants from the Transition State Theory (TST) predictions, are obtained by means of rare event molecular dynamics simulations. The results are 0.62 +/- 0.04 and 0.83 +/- 0.03 for the aqueous and enzymatic environments, respectively, while the Grote-Hynes predictions are 0.58 +/- 0.09 and 0.89 +/- 0.03, respectively. The Kramers theory estimates are much smaller, about 0.01 and 0.1, respectively. Thus, the enzymatic transmission coefficient is closer to TST predictions than the value obtained in solution. In addition, our results show that the enzymatic coefficient is also closer to its nonadiabatic (or frozen environment) limit than is the solution coefficient. These findings can be understood considering that, during the passage over the barrier top, there is a smaller coupling between the reactive system and the environment in the enzyme than in solution, as well as a smaller reorganization suffered by the enzyme. Analysis of the transition state friction kernel leads to the identification of some key vibrational modes governing the coupling between the two different environments and the reacting solute in the transition state region and insights on their relevance for the reaction dynamics' influence on the transmission coefficient.
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Affiliation(s)
- Maite Roca
- Departament de Ciències Experimentals, Universitat Jaume I, 12071 Castellón, Spain
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