1
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Eberhart ME, Alexandrova AN, Ajmera P, Bím D, Chaturvedi SS, Vargas S, Wilson TR. Methods for Theoretical Treatment of Local Fields in Proteins and Enzymes. Chem Rev 2025; 125:3772-3813. [PMID: 39993955 DOI: 10.1021/acs.chemrev.4c00471] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/26/2025]
Abstract
Electric fields generated by protein scaffolds are crucial in enzymatic catalysis. This review surveys theoretical approaches for detecting, analyzing, and comparing electric fields, electrostatic potentials, and their effects on the charge density within enzyme active sites. Pioneering methods like the empirical valence bond approach rely on evaluating ionic and covalent resonance forms influenced by the field. Strategies employing polarizable force fields also facilitate field detection. The vibrational Stark effect connects computational simulations to experimental Stark spectroscopy, enabling direct comparisons. We highlight how protein dynamics induce fluctuations in local fields, influencing enzyme activity. Recent techniques assess electric fields throughout the active site volume rather than only at specific bonds, and machine learning helps relate these global fields to reactivity. Quantum theory of atoms in molecules captures the entire electron density landscape, providing a chemically intuitive perspective on field-driven catalysis. Overall, these methodologies show protein-generated fields are highly dynamic and heterogeneous, and understanding both aspects is critical for elucidating enzyme mechanisms. This holistic view empowers rational enzyme engineering by tuning electric fields, promising new avenues in drug design, biocatalysis, and industrial applications. Future directions include incorporating electric fields as explicit design targets to enhance catalytic performance and biochemical functionalities.
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Affiliation(s)
- Mark E Eberhart
- Chemistry Department, Colorado School of Mines, 1500 Illinois Street, Golden, Colorado 80401, United States
| | - Anastassia N Alexandrova
- Department of Chemistry, and Biochemistry, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - Pujan Ajmera
- Department of Chemistry, and Biochemistry, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - Daniel Bím
- Department of Physical Chemistry, University of Chemistry and Technology, Prague 166 28, Czech Republic
| | - Shobhit S Chaturvedi
- Department of Chemistry, and Biochemistry, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - Santiago Vargas
- Department of Chemistry, and Biochemistry, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - Timothy R Wilson
- Chemistry Department, Colorado School of Mines, 1500 Illinois Street, Golden, Colorado 80401, United States
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2
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Åqvist J, Brandsdal BO. Computer Simulations of the Temperature Dependence of Enzyme Reactions. J Chem Theory Comput 2025; 21:1017-1028. [PMID: 39884967 PMCID: PMC11823412 DOI: 10.1021/acs.jctc.4c01733] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2024] [Revised: 01/21/2025] [Accepted: 01/24/2025] [Indexed: 02/01/2025]
Abstract
In this review we discuss the development of methodology for calculating the temperature dependence and thermodynamic activation parameters for chemical reactions in solution and in enzymes, from computer simulations. We outline how this is done by combining the empirical valence bond method with molecular dynamics free energy simulations. In favorable cases it turns out that such simulations can even capture temperature optima for the catalytic rate. The approach turns out be very useful both for addressing questions regarding the roles of enthalpic and entropic effects in specific enzymes and also for attacking evolutionary problems regarding enzyme adaptation to different temperature regimes. In the latter case, we focus on cold-adaptation of enzymes from psychrophilic species and show how computer simulations have revealed the basic mechanisms behind such adaptation. Understanding these mechanisms also opens up the possibility of designing the temperature dependence, and we highlight a recent example of this.
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Affiliation(s)
- Johan Åqvist
- Department
of Cell & Molecular Biology, Uppsala
University, Biomedical Center, SE-751 24 Uppsala, Sweden
- Department
of Chemistry, University of Tromsø
− The Arctic University of Norway, N9037 Tromsø, Norway
| | - Bjørn O. Brandsdal
- Department
of Chemistry, University of Tromsø
− The Arctic University of Norway, N9037 Tromsø, Norway
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3
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Vargas S, Chaturvedi SS, Alexandrova AN. Machine-Learning Prediction of Protein Function from the Portrait of Its Intramolecular Electric Field. J Am Chem Soc 2024. [PMID: 39374428 DOI: 10.1021/jacs.4c09549] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/09/2024]
Abstract
We introduce a machine learning framework designed to predict enzyme functionality directly from the heterogeneous electric fields inherent to protein active sites. We apply this method to a curated data set of heme-iron oxidoreductases, spanning three enzyme classes: monooxygenases, peroxidases, and catalases. Conventional analysis, focused on simplistic, point electric fields along the Fe-O bond, is shown to be inadequate for accurate activity prediction. Our model demonstrates that the enzyme's heterogeneous 3-D electric field, alone, can accurately predict its function, without relying on additional protein-specific information. Through feature selection, we uncover key electric field components that not only validate previous studies but also underscore the crucial role of multiple components beyond the traditionally emphasized electric field along the Fe-O bond in heme enzymes. Furthermore, by integrating protein dynamics, principal component analysis, clustering, and QM/MM calculations, we reveal that while dynamic complexities in protein structures can obscure predictions, the model still retains its accuracy. This research significantly advances our understanding of how protein scaffolds possess signature electric fields tailored to their functions at the active site. Moreover, it presents a novel electrostatics-based tool to harness these signature electric fields for predicting enzyme function.
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Affiliation(s)
- Santiago Vargas
- Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90095, United States
| | - Shobhit S Chaturvedi
- Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90095, United States
| | - Anastassia N Alexandrova
- Department of Chemistry and Biochemistry, University of California, Los Angeles, California 90095, United States
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4
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Teng H, Wu Z, Wang Z, Jin Z, Yang Y, Jin Q. Site-directed mutation of purine nucleoside phosphorylase for synthesis of 2'-deoxy-2'-fluoroadenosine. Process Biochem 2021. [DOI: 10.1016/j.procbio.2021.10.028] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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5
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Huai Z, Yang H, Sun Z. Binding thermodynamics and interaction patterns of human purine nucleoside phosphorylase-inhibitor complexes from extensive free energy calculations. J Comput Aided Mol Des 2021; 35:643-656. [PMID: 33759016 DOI: 10.1007/s10822-021-00382-w] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2020] [Accepted: 03/13/2021] [Indexed: 11/29/2022]
Abstract
Human purine nucleoside phosphorylase (hPNP) plays a significant role in the catabolism of deoxyguanosine. The trimeric protein is an important target in the treatment of T-cell cancers and autoimmune disorders. Experimental studies on the inhibition of the hPNP observe that the first ligand bound to one of three subunits effectively inhibits the protein, while the binding of more ligands to the subsequent sites shows negative cooperativities. In this work, we performed extensive end-point and alchemical free energy calculations to determine the binding thermodynamics of the trimeric protein-ligand system. 13 Immucillin inhibitors with experimental results are under calculation. Two widely accepted charge schemes for small molecules including AM1-BCC and RESP are adopted for ligands. The results of RESP are in better agreement with the experimental reference. Further investigations of the interaction networks in the protein-ligand complexes reveal that several residues play significant roles in stabilizing the complex structure. The most commonly observed ones include PHE200, GLU201, MET219, and ASN243. The conformations of the protein in different protein-ligand complexes are observed to be similar. We expect these insights to aid the development of potent drugs targeting hPNP.
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Affiliation(s)
- Zhe Huai
- State Key Laboratory of Precision Spectroscopy, School of Physics and Electronic Science, East China Normal University, Shanghai, 200062, China
| | - Huaiyu Yang
- College of Engineering, Hebei Normal University, Shijiazhuang, 050024, China
| | - Zhaoxi Sun
- State Key Laboratory of Precision Spectroscopy, School of Physics and Electronic Science, East China Normal University, Shanghai, 200062, China.
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6
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Liu G, Tong X, Wang J, Wu B, Chu J, Jian Y, He B. Reshaping the binding pocket of purine nucleoside phosphorylase for improved production of 2-halogenated-2′-deoxyadenosines. Catal Sci Technol 2021. [DOI: 10.1039/d0cy02424d] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Semi-rational design and iterative combinatorial mutation of AmPNP with gratifyingly improved activity toward steric impediment of 2-halogenated-2′-deoxyadenosine biosynthesis.
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Affiliation(s)
- Gaofei Liu
- College of Biotechnology and Pharmaceutical Engineering
- Nanjing Tech University
- Nanjing 211800
- China
| | - Xin Tong
- College of Biotechnology and Pharmaceutical Engineering
- Nanjing Tech University
- Nanjing 211800
- China
| | - Jialing Wang
- School of Pharmaceutical Sciences
- Nanjing Tech University
- Nanjing 211800
- China
| | - Bin Wu
- College of Biotechnology and Pharmaceutical Engineering
- Nanjing Tech University
- Nanjing 211800
- China
| | - Jianlin Chu
- School of Pharmaceutical Sciences
- Nanjing Tech University
- Nanjing 211800
- China
| | - Yongchan Jian
- School of Pharmaceutical Sciences
- Nanjing Tech University
- Nanjing 211800
- China
| | - Bingfang He
- School of Pharmaceutical Sciences
- Nanjing Tech University
- Nanjing 211800
- China
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7
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Hydroxyl-related differences for three dietary flavonoids as inhibitors of human purine nucleoside phosphorylase. Int J Biol Macromol 2018; 118:588-598. [PMID: 29894785 DOI: 10.1016/j.ijbiomac.2018.06.045] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/16/2018] [Revised: 06/07/2018] [Accepted: 06/09/2018] [Indexed: 01/19/2023]
Abstract
In this work, the hydroxyl-related differences of binding properties and inhibitory activities of dietary flavonoids, namely chrysin, baicalein and apigenin against purine nucleoside phosphorylase (PNP) were investigated. It was found that the hydroxylation on position C4' of chrysin (→apigenin) mildly decreased the binding affinities for PNP, whereas on the position C6 of chrysin (→baicalein) significantly increased binding affinities. Comparatively, the hydroxylation on position C4' and C6 greatly improved their PNP inhibitory effects. The IC50 values of apigenin and baicalein were 6.09 × 10-5 M and 8.94 × 10-5 M, respectively, which is significantly lower than that of chrysin (2.13 × 10-4 M). Results from molecular modeling revealed that there are two binding sites, i.e. active site (major) and tryptophan site (minor) on PNP, and the binding of these flavonoids might induce a serious conformational destabilization of PNP as a result of altering the micro-environment and morphology by flavonoids.
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8
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Roca M, Moliner V, Tuñón I. Origin of Enzymatic Kinetic Isotope Effects in Human Purine Nucleoside Phosphorylase. ACS Catal 2017. [DOI: 10.1021/acscatal.7b04199] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- M. Roca
- Departament
de Química Física i Analítica, Universitat Jaume I, 12071 Castelló, Spain
- Departament
de Química Física, Universitat de València, 46100 Burjassot, Spain
| | - V. Moliner
- Departament
de Química Física i Analítica, Universitat Jaume I, 12071 Castelló, Spain
| | - I. Tuñón
- Departament
de Química Física, Universitat de València, 46100 Burjassot, Spain
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9
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Duboué-Dijon E, Pluhařová E, Domin D, Sen K, Fogarty AC, Chéron N, Laage D. Coupled Valence-Bond State Molecular Dynamics Description of an Enzyme-Catalyzed Reaction in a Non-Aqueous Organic Solvent. J Phys Chem B 2017; 121:7027-7041. [PMID: 28675789 DOI: 10.1021/acs.jpcb.7b03102] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Enzymes are widely used in nonaqueous solvents to catalyze non-natural reactions. While experimental measurements showed that the solvent nature has a strong effect on the reaction kinetics, the molecular details of the catalytic mechanism in nonaqueous solvents have remained largely elusive. Here we study the transesterification reaction catalyzed by the paradigm subtilisin Carlsberg serine protease in an organic apolar solvent. The rate-limiting acylation step involves a proton transfer between active-site residues and the nucleophilic attack of the substrate to form a tetrahedral intermediate. We design the first coupled valence-bond state model that simultaneously describes both reactions in the enzymatic active site. We develop a new systematic procedure to parametrize this model on high-level ab initio QM/MM free energy calculations that account for the molecular details of the active site and for both substrate and protein conformational fluctuations. Our calculations show that the reaction energy barrier changes dramatically with the solvent and protein conformational fluctuations. We find that the mechanism of the tetrahedral intermediate formation during the acylation step is similar to that determined under aqueous conditions, and that the proton transfer and nucleophilic attack reactions occur concertedly. We identify the reaction coordinate to be mostly due to the rearrangement of some residual water molecules close to the active site.
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Affiliation(s)
- Elise Duboué-Dijon
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
| | - Eva Pluhařová
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
| | - Dominik Domin
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
| | - Kakali Sen
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
| | - Aoife C Fogarty
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
| | - Nicolas Chéron
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
| | - Damien Laage
- École Normale Supérieure - PSL Research University , Département de Chimie, Sorbonne Universités - UPMC Univ Paris 06, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
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10
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Morgenstern A, Jaszai M, Eberhart ME, Alexandrova AN. Quantified electrostatic preorganization in enzymes using the geometry of the electron charge density. Chem Sci 2017; 8:5010-5018. [PMID: 28970888 PMCID: PMC5612031 DOI: 10.1039/c7sc01301a] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/22/2017] [Accepted: 04/20/2017] [Indexed: 11/21/2022] Open
Abstract
Electrostatic preorganization is thought to be a principle factor responsible for the impressive catalytic capabilities of enzymes. The full protein structure is believed to facilitate catalysis by exerting a highly specific electrostatic field on the active site. Computationally determining the extent of electrostatic preorganization is a challenging process. We propose using the topology and geometry of the electron charge density in the enzyme's active site to asses the effects of electrostatic preorganization. In support of this approach we study the convergence of features of the charge density as the size of the active site model increases in Histone Deacetylase 8. The magnitude of charge density at critical points and most Bader atomic charges are found to converge quickly as more of the protein is included in the simulation. The exact position of critical points however, is found to converge more slowly and be strongly influenced by the protein residues that are further away from the active site. We conjecture that the positions of critical points are affected through perturbations to the wavefunctions in the active site caused by dipole moments from amino acid residues throughout the protein. We further hypothesize that electrostatic preorganization, from the point of view of charge density, can not be easily understood through the charges on atoms or the nature of the bonding interactions, but through the relative positions of critical points that are known to correlate with reactivity and reaction barriers.
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Affiliation(s)
| | - Matthew Jaszai
- Molecular Theory Group , Colorado School of Mines , USA .
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11
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Amrein BA, Steffen-Munsberg F, Szeler I, Purg M, Kulkarni Y, Kamerlin SCL. CADEE: Computer-Aided Directed Evolution of Enzymes. IUCRJ 2017; 4:50-64. [PMID: 28250941 PMCID: PMC5331465 DOI: 10.1107/s2052252516018017] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2016] [Accepted: 11/09/2016] [Indexed: 05/10/2023]
Abstract
The tremendous interest in enzymes as biocatalysts has led to extensive work in enzyme engineering, as well as associated methodology development. Here, a new framework for computer-aided directed evolution of enzymes (CADEE) is presented which allows a drastic reduction in the time necessary to prepare and analyze in silico semi-automated directed evolution of enzymes. A pedagogical example of the application of CADEE to a real biological system is also presented in order to illustrate the CADEE workflow.
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Affiliation(s)
- Beat Anton Amrein
- Science for Life Laboratory, Department of Cell and Molecular Biology, Uppsala University, BMC Box 596, S-751 24 Uppsala, Sweden
| | - Fabian Steffen-Munsberg
- Science for Life Laboratory, Department of Cell and Molecular Biology, Uppsala University, BMC Box 596, S-751 24 Uppsala, Sweden
| | - Ireneusz Szeler
- Science for Life Laboratory, Department of Cell and Molecular Biology, Uppsala University, BMC Box 596, S-751 24 Uppsala, Sweden
| | - Miha Purg
- Science for Life Laboratory, Department of Cell and Molecular Biology, Uppsala University, BMC Box 596, S-751 24 Uppsala, Sweden
| | - Yashraj Kulkarni
- Science for Life Laboratory, Department of Cell and Molecular Biology, Uppsala University, BMC Box 596, S-751 24 Uppsala, Sweden
| | - Shina Caroline Lynn Kamerlin
- Science for Life Laboratory, Department of Cell and Molecular Biology, Uppsala University, BMC Box 596, S-751 24 Uppsala, Sweden
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12
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Isaksen GV, Åqvist J, Brandsdal BO. Thermodynamics of the Purine Nucleoside Phosphorylase Reaction Revealed by Computer Simulations. Biochemistry 2016; 56:306-312. [DOI: 10.1021/acs.biochem.6b00967] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Geir Villy Isaksen
- The
Centre for Theoretical and Computational Chemistry, Department of
Chemistry, University of Tromsø, NO-9037 Tromsø, Norway
| | - Johan Åqvist
- Department
of Cell and Molecular Biology, Biomedical Center, Uppsala University, SE-75124 Uppsala, Sweden
| | - Bjørn Olav Brandsdal
- The
Centre for Theoretical and Computational Chemistry, Department of
Chemistry, University of Tromsø, NO-9037 Tromsø, Norway
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13
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Asada T, Ando K, Bandyopadhyay P, Koseki S. Free Energy Contribution Analysis Using Response Kernel Approximation: Insights into the Acylation Reaction of a Beta-Lactamase. J Phys Chem B 2016; 120:9338-46. [PMID: 27501066 DOI: 10.1021/acs.jpcb.6b06104] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
A widely applicable free energy contribution analysis (FECA) method based on the quantum mechanical/molecular mechanical (QM/MM) approximation using response kernel approaches has been proposed to investigate the influences of environmental residues and/or atoms in the QM region on the free energy profile. This method can evaluate atomic contributions to the free energy along the reaction path including polarization effects on the QM region within a dramatically reduced computational time. The rate-limiting step in the deactivation of the β-lactam antibiotic cefalotin (CLS) by β-lactamase was studied using this method. The experimentally observed activation barrier was successfully reproduced by free energy perturbation calculations along the optimized reaction path that involved activation by the carboxylate moiety in CLS. It was found that the free energy profile in the QM region was slightly higher than the isolated energy and that two residues, Lys67 and Lys315, as well as water molecules deeply influenced the QM atoms associated with the bond alternation reaction in the acyl-enzyme intermediate. These facts suggested that the surrounding residues are favorable for the reactant complex and prevent the intermediate from being too stabilized to proceed to the following deacylation reaction. We have demonstrated that the free energy contribution analysis should be a useful method to investigate enzyme catalysis and to facilitate intelligent molecular design.
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Affiliation(s)
- Toshio Asada
- Department of Chemistry, Graduate School of Science, Osaka Prefecture University , 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan.,The Research Institute for Molecular Electronic Devices (RIMED), Osaka Prefecture University , 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
| | - Kanta Ando
- Department of Chemistry, Graduate School of Science, Osaka Prefecture University , 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
| | - Pradipta Bandyopadhyay
- School of Computational and Integrative Sciences, Jawaharlal Nehru University , New Delhi, India 110067
| | - Shiro Koseki
- Department of Chemistry, Graduate School of Science, Osaka Prefecture University , 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan.,The Research Institute for Molecular Electronic Devices (RIMED), Osaka Prefecture University , 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan
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