A water-swap reaction coordinate for the calculation of absolute protein-ligand binding free energies

The accurate prediction of absolute protein-ligand binding free energies is one of the grand challenge problems of computational science. Binding free energy measures the strength of binding between a ligand and a protein, and an algorithm that would allow its accurate prediction would be a powerful tool for rational drug design. Here we present the development of a new method that allows for the absolute binding free energy of a protein-ligand complex to be calculated from first principles, using a single simulation. Our method involves the use of a novel reaction coordinate that swaps a ligand bound to a protein with an equivalent volume of bulk water. This water-swap reaction coordinate is built using an identity constraint, which identifies a cluster of water molecules from bulk water that occupies the same volume as the ligand in the protein active site. A dual topology algorithm is then used to swap the ligand from the active site with the identified water cluster from bulk water. The free energy is then calculated using replica exchange thermodynamic integration. This returns the free energy change of simultaneously transferring the ligand to bulk water, as an equivalent volume of bulk water is transferred back to the protein active site. This, directly, is the absolute binding free energy. It should be noted that while this reaction coordinate models the binding process directly, an accurate force field and sufficient sampling are still required to allow for the binding free energy to be predicted correctly. In this paper we present the details and development of this method, and demonstrate how the potential of mean force along the water-swap coordinate can be improved by calibrating the soft-core Coulomb and Lennard-Jones parameters used for the dual topology calculation. The optimal parameters were applied to calculations of protein-ligand binding free energies of a neuraminidase inhibitor (oseltamivir), with these results compared to experiment. These results demonstrate that the water-swap coordinate provides a viable and potentially powerful new route for the prediction of protein-ligand binding free energies.     

A Photoresponsive Stiff‐Stilbene Ligand Fuels the Reversible Unfolding of G‐Quadruplex DNA

The polymorphic nature of G‐quadruplex (G4) DNA structures points to a range of potential applications in nanodevices and an opportunity to control G4 in biological settings. Light is an attractive means for the regulation of oligonucleotide structure as it can be delivered with high spatiotemporal precision. However, surprisingly little attention has been devoted towards the development of ligands for G4 that allow photoregulation of G4 folding. We report a novel G4‐binding chemotype derived from stiff‐stilbene. Surprisingly however, whilst the ligand induces high stabilization in the potassium form of human telomeric DNA, it causes the unfolding of the same G4 sequence in sodium buffer. This effect can be reversed on demand by irradiation with 400 nm light through deactivation of the ligand by photo‐oxidation. By fuelling the system with the photolabile ligand, the conformation of G4 DNA was switched five times.     

QM/MM simulations predict a covalent intermediate in the hen egg white lysozyme reaction with its natural substrate

Quantum mechanics/molecular mechanics (QM/MM) molecular dynamics simulations indicate that the reaction of native HEWL with its natural substrate involves a covalent intermediate, in contrast to the 'textbook' mechanism for this seminal enzyme.     

QM/MM modeling of benzene hydroxylation in human cytochrome P450 2C9

The mechanism of benzene hydroxylation was investigated in the realistic enzyme environment of the human CYP 2C9 by using quantum mechanical/molecular mechanical (QM/MM) calculations of the whole reaction profile using the B3LYP method to describe the QM region. The calculated QM/MM barriers for addition of the active species Compound I to benzene are consistent with experimental rate constants for benzene metabolism in CYP 2E1. In contrast to gas-phase model calculations, our results suggest that competing side-on and face-on geometries of arene addition may both occur in the case of aromatic ring oxidation in cytochrome P450s. QM/MM profiles for three different rearrangement pathways of the initially formed sigma-adduct, leading to formation of epoxide, ketone, and an N-protonated porphyrin species, were calculated. Our results suggest that epoxide and ketone products form with comparable ease in the face-on pathway, whereas epoxide formation is preferred in the side-on pathway. Additionally, rearrangement to the N-protonated porphyrin species was found to be competitive with side-on epoxide formation. This suggests that overall, the competition between formation of epoxide and phenol final products in P450 oxidation of aromatic substrates is quite finely balanced.     

QM/MM studies of the electronic structure of the compound I intermediate in cytochrome c peroxidase and ascorbate peroxidase

Cytochrome c peroxidase (CcP) and ascorbate peroxidase (APX) both involve reactive haem oxoferryl intermediates known as 'compound I' species. These two enzymes also have a very similar structure, especially in the vicinity of the haem group. Despite this similarity, the electronic structure of compound I in the two enzymes is known to be very different. Compound I intermediates have three unpaired electrons, two of which are always situated on the Fe-O core, whilst the third is located in a porphyrin orbital in APX and many other compound I species. In CcP, however, this third unpaired electron is positioned on a tryptophan residue lying close to the haem ring. The same residue is present in the same position in APX, yet it is not oxidized in that case. We report QM/MM calculations, using accurate B3LYP density functional theory for the QM region, on the active intermediate for both enzymes. We reproduce the observed difference in electronic structure, and show that it arises as a result of subtle electrostatic effects which affect the ionization potential of both the tryptophan and porphyrin groups. The computed structures of both enzymes do not involve deprotonation of the tryptophan group, or protonation of the oxoferryl oxygen.     

MM and QM/MM Modeling of Threonyl-tRNA Synthetase: Model Testing and Simulations

Aminoacyl-tRNA synthetases are centrally important enzymes in protein synthesis. We have investigated threonyl-tRNA synthetase from E. coli, complexed with reactants, using molecular mechanics and combined quantum mechanical/molecular mechanical (QM/MM) techniques. These modeling methods have the potential to provide molecular level understanding of enzyme catalytic processes. Modeling of this enzyme presents a number of challenges. The procedure of system preparation and testing is described in detail. For example, the number of metal ions at the active site, and their positions, were investigated. Molecular dynamics simulations suggest that the system is most stable when it contains only one magnesium ion, and the zinc ion is removed. Two different QM/MM methods were tested in models based on the findings of MM molecular dynamics simulations. AM1/CHARMM calculations resulted in unrealistic structures for the phosphates in this system. This is apparently due to an error of AM1. PM3/CHARMM calculations proved to be more suitable for this enzyme system. These results will provide a useful basis for future modeling investigations of the enzyme mechanism and dynamics.     

Enhanced sampling molecular dynamics simulations correctly predict the diverse activities of a series of stiff-stilbene G-quadruplex DNA ligands

Ligands with the capability to bind G-quadruplexes (G4s) specifically, and to control G4 structure and behaviour, offer great potential in the development of novel therapies, technologies and functional materials. Most known ligands bind to a pre-formed topology, but G4s are highly dynamic and a small number of ligands have been discovered that influence these folding equilibria. Such ligands may be useful as probes to understand the dynamic nature of G4 in vivo, or to exploit the polymorphism of G4 in the development of molecular devices. To date, these fascinating molecules have been discovered serendipitously. There is a need for tools to predict such effects to drive ligand design and development, and for molecular-level understanding of ligand binding mechanisms and associated topological perturbation of G4 structures. Here we study the G4 binding mechanisms of a family of stiff-stilbene G4 ligands to human telomeric DNA using molecular dynamics (MD) and enhanced sampling (metadynamics) MD simulations. The simulations predict a variety of binding mechanisms and effects on G4 structure for the different ligands in the series. In parallel, we characterize the binding of the ligands to the G4 target experimentally using NMR and CD spectroscopy. The results show good agreement between the simulated and experimentally observed binding modes, binding affinities and ligand-induced perturbation of the G4 structure. The simulations correctly predict ligands that perturb G4 topology. Metadynamics simulations are shown to be a powerful tool to aid development of molecules to influence G4 structure, both in interpreting experiments and to help in the design of these chemotypes.

Enhanced sampling molecular dynamics simulations and solution-phase experiments come together to demonstrate the diverse effects of G4-interactive small molecules.     

Mechanism of inhibition of SARS-CoV-2 Mpro by N3 peptidyl Michael acceptor explained by QM/MM simulations and design of new derivatives with tunable chemical reactivity

The SARS-CoV-2 main protease (M^pro) is essential for replication of the virus responsible for the COVID-19 pandemic, and one of the main targets for drug design. Here, we simulate the inhibition process of SARS-CoV-2 M^pro with a known Michael acceptor (peptidyl) inhibitor, N3. The free energy landscape for the mechanism of the formation of the covalent enzyme-inhibitor product is computed with QM/MM molecular dynamics methods. The simulations show a two-step mechanism, and give structures and calculated barriers in good agreement with experiment. Using these results and information from our previous investigation on the proteolysis reaction of SARS-CoV-2 M^pro, we design two new, synthetically accessible N3-analogues as potential inhibitors, in which the recognition and warhead motifs are modified. QM/MM modelling of the mechanism of inhibition of M^pro by these novel compounds indicates that both may be promising candidates as drug leads against COVID-19, one as an irreversible inhibitor and one as a potential reversible inhibitor.

QM/MM simulations identify the mechanism of reaction of N3, a covalent peptidyl inhibitor of SARS-CoV-2 main protease. Modelling of two novel proposed compounds, B1 and B2, suggests that reversibility of covalent inhibition could be tailored.