Site specific point mutation changes specificity: A molecular modeling study by free energy simulations and enzyme kinetics of the thermodynamics in ribonuclease T1 substrate interactions

We have theoretically and experimentally studied the binding of two different ligands to wild-type ribonuclease T₁ (RNT1) and to a mutant of RNT1 with Glu-46 replaced by Gln. The binding of the natural substrate 3′-GMP has been compared with the binding of a fluorescent probe, 2-aminopurine 3′-monophosphate (2AP), and relative free energies of binding of these ligands to the mutant and the wild-type (wt) enzyme have been calculated by free energy perturbation methods. The free energy perturbations predict that the mutant RNT1-Gln-46 binds 2AP better than 3′GMP, in agreement with experiments on dinucleotides. Four free energy perturbations, forming a closed loop, have been performed to allow the detection of systematic errors in the simulation procedure. Because of the larger number of atoms involved, it was necessary to use a much longer simulation time for the change in the protein, i.e., the perturbation from Glu to Gln, than in the perturbation from 3′-GMP to 2AP. Finally the structure of the binding site is analyzed for understanding differences in catalytic speed and binding strength. © 1993 Wiley-Liss, Inc.     

Relative binding free energy calculations of inhibitors to two mutants (Glu46----Ala/Gln) of ribonuclease T1 using molecular dynamics/free energy perturbation approaches.

We present free energy perturbation calculations on the complexes of Glu46----Ala46 (E46A) and Glu46----Gln46 (E46Q) mutants of ribonuclease T1 (RNaseT1) with inhibitors 2'-guanosine monophosphate (GMP) and 2'-adenosine monophosphate (AMP) by a thermodynamic perturbation method implemented with molecular dynamics (MD). Using the available crystal structure of the RNaseT1-GMP complex, the structures of E46A-GMP and E46Q-GMP were model built and equilibrated with MD simulations. The structures of E46A-AMP and E46Q-AMP were obtained as a final structure of the GMP----AMP perturbation calculation respectively. The calculated difference in the free energy of binding (delta delta Gbind) was 0.31 kcal/mol for the E46A system and -1.04 kcal/mol for the E46Q system. The resultant free energies are much smaller than the experimental and calculated value of approximately 3 kcal/mol for the native RNaseT1, which suggests that both mutants have greater relative adenine affinities than native RNaseT1. Especially E46Q is calculated to have a larger affinity for adenine than guanine, as we suggested previously from the calculation on the native RNaseT1. Thus, the molecular dynamics/free energy perturbation method may be helpful in protein engineering, directed toward increasing or changing the substrate specificity of enzymes.     

The Influence of Starting Coordinates in Free Energy Simulations of Ligand Binding to Dihydrofolate Reductase

Abstract

Molecular dynamics (MD) simulation combined with free energy perturbation (FEP) methods have been used to study the key structural differences and relative free energies for the binding of 6-methyl-N5-deazapterin (N8 protonated) and the 8-substituted compound, 6,8-dimethyl-N5-deazapterin (N3 protonated), to dihydrofolate reductase (DHFR). The free energy changes have been calculated using a variety of initial X-ray coordinates derived from bacterial and vertebrate (including human) DHFRs, and both with and without the reduced cofactor nicotinamide adenine dinucleotide (NADPH) bound. Given a sufficiently long simulation time for the FEP calculations (ca. 200 ps), all structures obtained after mutating 6,8-methyl-N5-deazapterin to 6-methyl-N5-deazapterin exhibited hydrogen bond formation between a backbone carbonyl group of DHFR and H(N8) of 6-methyl-N5-deazapterin, analogous to that found in the X-ray crystal structure of N5-deazafolate(N8 protonated) bound to human DHFR. However, both simulation and experiment suggest this additional H-bonding does not greatly enhance thermodynamic stability, with experiment indicating at most a factor of 2 difference in the relative affinities of the two ligand cations for vertebrate DHFR. Moreover, a binding differential of 10 in favour of the protonated 8-substituted compound is found experimentally for bacterial DHFR. The MD/FEP calculations suggest that the relative cost of ligand desolvation may largely cancel the lowering of free energy obtained in the active site, resulting in predicted binding differences within the range indicated by the vertebrate and bacterial DHFR experiments. However, the theoretical free energy changes could not be obtained with the accuracy required for the rationalization of the observed species dependence. While sampling difficulties are known to be inherent in MD simulation methodologies, these studies with several initial coordinate sets have demonstrated the contribution of coordinate choice to this problem. The results indicate that for demanding protein-ligand binding problems such as this one, the accuracy of the method may be no better than ± 2 kcal/mol.     

Application of the Free Energy Calculations to Study Drug-enzyme and Drug-dna Complexes

Applications of two free energy calculation approaches are presented to study drug-biomolecule complexes. The first method, the free energy perturbation (FEP) method and molecular dynamics simulations has been applied to study the JG-365 inhibitor bound to the HIV-aspartic protease. The FEP method has been applied to predict the consequence of replacing each of the seven peptide bonds in the JG-365 by trans-ethylene or fluoroethylene units. The necessary initial conformations of the inhibitor for "in water" perturbations have been found using neural network clustering approach applied to the long molecular dynamics trajectory of the inhibitor in water solution. The second method is applied to study binding free energies of some DNA-drug complexes and is based on analysis of long molecular dynamics trajectories by continuum solvent approach (MM/PBSA).     

Convergence Behavior in Free Energy Simulations

Free energy perturbation (FEP) simulations offer much promise for understanding site specific mutagenesis in protein engineering experiments and for rational drug design. These calculations can in principle yield the free energy difference between two states (for example a native and mutant protein) and some quite promising results have been obtained using the FEP technique. However much work remains to be done on accessing the accuracy and limitations of these calculations before they can be used on a routine basis [1]. Many of the problems occur because there is a complicated potential energy surface describing the two states in the calculation.     

Free energy calculations show that acidic P1 variants undergo large pKa shifts upon binding to trypsin

Serine proteinases and their protein inhibitors belong to one of the most comprehensively studied models of protein-protein interactions. It is well established that the narrow trypsin specificity is caused by the presence of a negatively charged aspartate at the specificity pocket. X-ray crystallography as well as association measurements revealed, surprisingly, that BPTI with glutamatic acid as the primary binding (P1) residue was able to bind to trypsin. Previous free energy calculations showed that there was a substantially unfavorable binding free energy associated with accommodation of ionized P1 Glu at the S1-site of trypsin. In this study, the binding of P1 Glu to trypsin has been systematically investigated in terms of the protonation states of P1 Glu and Asp189, the orientation of Gln192, as well as the possible presence of counterions using the linear interaction energy (LIE) approach and the free energy perturbation (FEP) method. Twenty-four conceivable binding arrangements were evaluated and quantitative agreement with experiments is obtained when the P1 Glu binds in its protonated from. The results suggest that P1 Glu is one of the variants of BPTI that inhibit trypsin strongest at low pH, contrary to the specificity profile of trypsin, suggesting a new regulation mechanism of trypsin-like enzymes.     

A Comparison of Seven Fast but Approximate Methods to Compute the Free Energy of Deprotonation for Amino Acids in Aqueous Solution

Abstract

In recent years, a variety of methods based on statistical mechanics have been successfully applied to calculate free energy differences of chemical reactions from molecular simulation. The accuracy and computational efficiency vary strongly between these methods. Seven approximate but fast methods to calculate free energy differences are compared in terms of accuracy and efficiency with the accurate but expensive thermodynamic integration method as reference, using 28 protonation and deprotonation reactions of aspartic acid in aqueous solution as test cases. At least two simulations are required to obtain an accurate free energy difference between two states of the system. Both, the averaged one-step perturbation method and the linear response method yield the most accurate results, while the latter method shows the fastest convergence.     

Revisiting Free Energy Calculations: A Theoretical Connection to MM/PBSA and Direct Calculation of the Association Free Energy

The prediction of absolute ligand-receptor binding affinities is essential in a wide range of biophysical queries, from the study of protein-protein interactions to structure-based drug design. End-point free energy methods, such as the Molecular Mechanics Poisson-Boltzmann Surface Area (MM/PBSA) model, have received much attention and widespread application in recent literature. These methods benefit from computational efficiency as only the initial and final states of the system are evaluated, yet there remains a need for strengthening their theoretical foundation. Here a clear connection between statistical thermodynamics and end-point free energy models is presented. The importance of the association free energy, arising from one molecule's loss of translational and rotational freedom from the standard state concentration, is addressed. A novel method for calculating this quantity directly from a molecular dynamics simulation is described. The challenges of accounting for changes in the protein conformation and its fluctuations from separate simulations are discussed. A simple first-order approximation of the configuration integral is presented to lay the groundwork for future efforts. This model has been applied to FKBP12, a small immunophilin that has been widely studied in the drug industry for its potential immunosuppressive and neuroregenerative effects.     

Induced fit docking,free energy calculation and molecular dynamics studies on Mycobacterium tuberculosis alanine racemase inhibitor

Alar, a Pyridoxal 5′-phosphate (PLP)-dependent bacterial enzyme is responsible for the racemisation of L-alanine into D-alanine which is essential for the peptidoglycan biosynthesis in both Gram-positive and Gram-negative bacteria. In the present study, we performed induced fit docking, binding free energy calculation and molecular dynamics simulation to elucidate the Alar inhibition potential of 1,2,4-thiadiazolidine-3,5-dione-based inhibitor 1. The inhibitor binds to the hydrophobic groove of Alar and the binding was found to be stable throughout 20-ns MD simulation. Induced fit docking result showed that Lys42, Tyr46, Tyr175 and Tyr364 residues are primarily responsible for the stabilisation of inhibitor–protein complex. Further, high negative van der Waals binding free energy value of –38.88 kcal/mol, indicated it as the main driving force for the inhibitor binding. Based on the information obtained from this study, we designed few molecules as potent Alar inhibitor. In order to gain structural insight and to validate the stability of complex, we performed 20-ns MD simulation of the designed molecule D1. Results obtained from this study can be used for the design of M. tuberculosis Alar potent inhibitors lacking affinity for the co-factor PLP.     

Frequency Response of a Protein to Local Conformational Perturbations

Signals created by local perturbations are known to propagate long distances through proteins via backbone connectivity and nonbonded interactions. In the current study, signal propagation from the flexible ligand binding loop to the rest of Protein Tyrosine Phosphatase 1B (PTP1B) was investigated using frequency response techniques. Using restrained Targeted Molecular Dynamics (TMD) potential on WPD and R loops, PTP1B was driven between its crystal structure conformations at different frequencies. Propagation of the local perturbation signal was manifested via peaks at the fundamental frequency and upper harmonics of 1/f distributed spectral density of atomic variables, such as C_α atoms, dihedral angles, or polar interaction distances. Frequency of perturbation was adjusted high enough (simulation length >∼10×period of a perturbation cycle) not to be clouded by random diffusional fluctuations, and low enough (<∼0.8 ns⁻¹) not to attenuate the propagating signal and enhance the contribution of the side-chains to the dissipation of the signals. Employing Discrete Fourier Transform (DFT) to TMD simulation trajectories of 16 cycles of conformational transitions at periods of 1.2 to 5 ns yielded C_α displacements consistent with those obtained from crystal structures. Identification of the perturbed atomic variables by statistical t-tests on log-log scale spectral densities revealed the extent of signal propagation in PTP1B, while phase angles of the filtered trajectories at the fundamental frequency were used to cluster collectively fluctuating elements. Hydrophobic interactions were found to have a higher contribution to signal transduction between side-chains compared to the role of polar interactions. Most of in-phase fluctuating residues on the signaling pathway were found to have high identity among PTP domains, and located over a wide region of PTP1B including the allosteric site. Due to its simplicity and efficiency, the suggested technique may find wide applications in identification of signaling pathways of different proteins.     

Free energies of binding of polychlorinated biphenyls to the estrogen receptor from a single simulation

Relative free energies of binding to the ligand-binding domain of the estrogen receptor have been calculated for a series of 17 hydroxylated polychlorinated biphenyls. Because traditional thermodynamic integration or perturbation approaches are hardly feasible for these numbers of compounds, the one-step perturbation approach is applied and is shown to yield accurate results based on only two 2-ns molecular dynamics simulations of an unphysical, judiciously chosen, reference state. The mean absolute difference between the calculated and experimental binding free energies for the 17 compounds is 3.4 kJ/mol, which illustrates the accuracy of the GROMOS biomolecular force field used. Excluding the three largest ligands from the comparison reduces the deviation to 2.0 kJ/mol (i.e., < k(B)T). Apart from the relative free energy, structural information about the binding mode and binding orientation for every compound can also be extracted from the simulation, showing that a ligand bound to its receptor cannot be represented by a single conformation, but it samples an ensemble of different orientations.     

Calculation of the relative binding free energy of 2'GMP and 2'AMP to ribonuclease T1 using molecular dynamics/free energy perturbation approaches

We present a calculation of the relative changes in binding free energy between the complex of ribonuclease T1 (RNase Tr) with its inhibitor 2'-guanosine monophosphate (2'GMP) and that of RNase T1-2'-adenosine monophosphate (2'AMP) by means of a thermodynamic perturbation method implemented with molecular dynamics. Using the available crystal structure of the RNase T1-2'GMP complex, the structure of the RNase T1-2'AMP complex was obtained as a final structure of the perturbation calculation. The calculated difference in the free energy of binding (delta delta Gbind) was 2.76 kcal/mol. This compares well with the experimental value of 3.07 kcal/mol. The encouraging agreement in delta delta Gbind suggests that the interactions of inhibitors with the enzyme are reasonably represented. Energy component analyses of the two complexes reveal that the active site of RNase T1 electrostatically stabilizes the binding of 2'GMP more than that of 2'AMP by 44 kcal/mol, while the van der Waals' interactions are similar in the two complexes. The analyses suggest that the mutation from Glu46 to Gln may lead to a preference of RNase T1 for adenine in contrast to the guanine preference of the wild-type enzyme. Although the molecular dynamics equilibration moves the atoms of the RNase T1-2'GMP system about 0.9 A from their X-ray positions and the mutation of the G to A in the active site increases the deviation from the X-ray structure, the mutation of the A back to G reduces the deviation. This and the agreement found for delta delta Gbind suggest that the molecular dynamics/free energy perturbation method will be useful for both energetic and structural analysis of protein-ligand interactions.     

Molecular Dynamics/Free Energy Perturbation Studies of the Thermostable V74I Mutant of Ribonuclease HI

Abstract

Recent site-directed mutagenesis and thermodynamic studies have shown that the V74I mutant of Escherichia coli ribonuclease HI (RNase HI) is more stable than the wild type protein [Ishikawa et al., Biochemistry 32, 6171 (1993)]. In order to clarify the stabilization mechanism of this mutant, we calculated the free energy change due to the mutation Val 74→Ile in both the native and denatured states by free energy perturbations based on molecular dynamics (MD) simulations. We carried out inclusive MD simulations for the protein in water; i.e., fully solvated, no artificial constraints applied, and all long-range Coulomb interactions included. We found that the free energy of the mutant increased slightly relative to the wild type, in the native state by 1.60 kcal/mol, and in the denatured state by 2.25 kcal/mol. The unfolding free energy increment of the mutant (0.66 ± 0.19 kcal/mol) was in good agreement with the experimental value (0.6 kcal/mol). The hysteresis error in the free energy calculations, i.e., forward and reverse perturbations, was only ±0.19 kcal/mol. These results show that the V74I mutant is stabilized relative to the wild type by the increased free energy of the denatured state and not by a decrease in the free energy of the native state as had been proposed earlier based on the mutant X-ray structure. It was found that the stabilization was caused by a loss of solvation energy in the mutant denatured state and not by improved packing interactions inside the native protein.     

Free Energy Calculations Predict Sequence Specificity in DNA-Drug Complexes

Abstract

Molecular dynamics simulations of DNA-netropsin complexes in water were performed using the thermodynamic cycle-perturbation method to calculate the free energy difference between complexes with an adenine-containing binding site and corresponding complexes where adenines are replaced by 2,6-diaminopurines (dap). The calculations predict a free energy difference of 3.7±0.9 kcal/mol (at 300K) in favour of netropsin binding to an (AATT)₂ DNA sequence compared to a (dapdapTT)₂ sequence.     

Accurate PDZ/Peptide Binding Specificity with Additive and Polarizable Free Energy Simulations

PDZ domains contain 80–100 amino acids and bind short C-terminal sequences of target proteins. Their specificity is essential for cellular signaling pathways. We studied the binding of the Tiam1 PDZ domain to peptides derived from the C-termini of its Syndecan-1 and Caspr4 targets. We used free energy perturbation (FEP) to characterize the binding energetics of one wild-type and 17 mutant complexes by simulating 21 alchemical transformations between pairs of complexes. Thirteen complexes had known experimental affinities. FEP is a powerful tool to understand protein/ligand binding. It depends, however, on the accuracy of molecular dynamics force fields and conformational sampling. Both aspects require continued testing, especially for ionic mutations. For six mutations that did not modify the net charge, we obtained excellent agreement with experiment using the additive, AMBER ff99SB force field, with a root mean square deviation (RMSD) of 0.37 kcal/mol. For six ionic mutations that modified the net charge, agreement was also good, with one large error (3 kcal/mol) and an RMSD of 0.9 kcal/mol for the other five. The large error arose from the overstabilization of a protein/peptide salt bridge by the additive force field. Four of the ionic mutations were also simulated with the polarizable Drude force field, which represents the first test of this force field for protein/ligand binding free energy changes. The large error was eliminated and the RMS error for the four mutations was reduced from 1.8 to 1.2 kcal/mol. The overall accuracy of FEP indicates it can be used to understand PDZ/peptide binding. Importantly, our results show that for ionic mutations in buried regions, electronic polarization plays a significant role.     

蛋白质与极性配体复合物的绝对结合自由能计算

介绍了用分子动力学模拟与热力学积分法相结合,模拟蛋白质与配体的绝对结合自由能的方法.通过分子转换法,使蛋白质分子（包括水分子）与配体小分子之间的相互作用逐渐减弱 （或增强）至完全消失（或完全出现）. 运用体约束方法,计算了配体与受体结合后平动、转动自由度的丧失即熵效应所引起的自由能变化.以胰蛋白酶双突变体（D189G/G226D）与极性配体苯甲脒为例,研究了蛋白质活性部位与极性配体的相互作用对结合自由能的影响,该复合物绝对结合自由能的模拟结果(－15.5 kJ/mol)与实验值(－10.5 kJ/mol)相近.     

Free energy calculations of ALS‐causing SOD1 mutants reveal common perturbations to stability and dynamics along the maturation pathway

With over 150 heritable mutations identified as disease‐causative, superoxide dismutase 1 (SOD1) has been a main target of amyotrophic lateral sclerosis (ALS) research and therapeutic efforts. However, recent evidence has suggested that neither loss of function nor protein aggregation is responsible for promoting neurotoxicity. Furthermore, there is no clear pattern to the nature or the location of these mutations that could suggest a molecular mechanism behind SOD1‐linked ALS. Here, we utilize reliable and accurate computational techniques to predict the perturbations of 10 such mutations to the free energy changes of SOD1 as it matures from apo monomer to metallated dimer. We find that the free energy perturbations caused by these mutations strongly depend on maturational progress, indicating the need for state‐specific therapeutic targeting. We also find that many mutations exhibit similar patterns of perturbation to native and non‐native maturation, indicating strong thermodynamic coupling between the dynamics at various sites of maturation within SOD1. These results suggest the presence of an allosteric network in SOD1 which is vulnerable to disruption by these mutations. Analysis of these perturbations may contribute to uncovering a unifying molecular mechanism which explains SOD1‐linked ALS and help to guide future therapeutic efforts.     

Prediction of the mutation-induced change in thermodynamic stabilities of membrane proteins from free energy simulations

Comparative protein structure modeling and free energy perturbation simulation have been applied in a consecutive manner to investigate the mutation-induced stabilization of membrane proteins (MPs) in aqueous solution without knowledge of their three-dimensional structures. The calculated difference in protein solvation free energy between the wild type and a mutant compares well with their relative thermodynamic stabilities in solution. For monomeric MPs, a mutant reveals a higher stability than the wild type if the calculated solvation free energy indicates a favorable change. On the contrary, for oligomeric MPs the stability of a mutant increases as the solvation free energy of a mutated monomer becomes less favorable, indicating that the oligomeric MP mutant would be stabilized in solution due to the reduced desolvation cost for oligomerization. The present computational strategy is expected to find its way as a useful tool for assessing the relative stability of a mutant MP with respect to its wild type in solution.