Pressure- and temperature-induced unfolding studies: thermodynamics of core hydrophobicity and packing of ribonuclease A

In this work we demonstrate that heat and pressure induce only slightly different energetic changes in the unfolded state of RNase A. Using pressure and temperature as denaturants on a significant number of variants, and by determining the free energy of unfolding at different temperatures, we estimated the stability of variants unable to complete the unfolding transition owing to the experimental conditions required for pressure experiments. The overall set of results allowed us to map the contributions to stability of the hydrophobic core residues of RNase A, with the positions most critical for stability being V54, V57, I106 and V108. We also show that the stability differences can be attributed to both hydrophobic interactions and packing density with an equivalent energetic magnitude. The main hydrophobic core of RNase A is tightly packed, as shown by the small-to-large and isosteric substitutions. In addition, we found that large changes in the number of methylene groups have non-additive positive stability interaction energies that are consistent with exquisite tight core packing and rearrangements of van der Waals' interactions in the protein interior, even after drastic deleterious substitutions.     

Theoretical studies of the response of a protein structure to cavity-creating mutations

We have investigated the response of a protein structure to cavity-creating mutations by molecular dynamics (MD) simulations for the wild-type and the five mutants of phage T4 lysozyme. Essential dynamics (ED) analysis and the methods for calculating different components of local interaction energies are used to examine the structural and energetic characteristics associated with the mutations. In agreement with the x-ray results, it is found that the structural changes due to the replacements of a bulky side chain such as Leu or Phe with Ala within the hydrophobic core can be characterized as slight adjustments rather than substantial reorganization of the protein. The relative stability of different mutant structures can be related with the extent of structural readjustments in response to the mutation. The destabilization of the mutant Leu-->Ala proteins relative to the wild-type is closely related with the loss of van der Waals contacts due to the cavity-creating mutations.     

Energetic analysis of binding of progesterone and 5 beta-androstane-3,17-dione to anti-progesterone antibody DB3 using molecular dynamics and free energy calculations.

Molecular dynamics simulations and molecular mechanics-Poisson-Boltzmann surface area (MM-PBSA) free energy calculations were used to study the energetics of the binding of progesterone (PRG) and 5 beta-androstane-3,17-dione (5AD) to anti-PRG antibody DB3. Although the two steroids bind to DB3 in different orientations, their binding affinities are of the same magnitude, 1 nM for PRG and 8 nM for 5AD. The calculated relative binding free energy of the steroids, 8.8 kJ/mol, is in fair agreement with the experimental energy, 5.4 kJ/mol. In addition, computational alanine scanning was applied to study the role of selected amino acid residues of the ligand-binding site on the steroid cross-reactivity. The electrostatic and van der Waals components of the total binding free energies were found to favour more the binding of PRG, whereas solvation energies were more favourable for the binding of 5AD. The differences in the free energy components are due to the binding of the A rings of the steroids to different binding pockets: PRG is bound to a pocket in which electrostatic antibody-steroid interactions are dominating, whereas 5AD is bound to a pocket in which van der Waals and hydrophobic interactions dominate.     

Probing Difference in Binding Modes of Inhibitors to MDMX by Molecular Dynamics Simulations and Different Free Energy Methods

The p53-MDMX interaction has attracted extensive attention of anti-cancer drug development in recent years. This current work adopted molecular dynamics (MD) simulations and cross-correlation analysis to investigate conformation changes of MDMX caused by inhibitor bindings. The obtained information indicates that the binding cleft of MDMX undergoes a large conformational change and the dynamic behavior of residues obviously change by the presence of different structural inhibitors. Two different methods of binding free energy predictions were employed to carry out a comparable insight into binding mechanisms of four inhibitors PMI, pDI, WK23 and WW8 to MDMX. The data show that the main factor controlling the inhibitor bindings to MDMX arises from van der Waals interactions. The binding free energies were further divided into contribution of each residue and the derived information gives a conclusion that the hydrophobic interactions, such as CH-CH, CH-π and π-π interactions, are responsible for the inhibitor associations with MDMX.     

Influence of a lipid interface on protein dynamics in a fungal lipase.

Lipases catalyze lipolytic reactions and for optimal activity they require a lipid interface. To study the effect of a lipid aggregate on the behavior of the enzyme at the interfacial plane and how the aggregate influences an attached substrate or product molecule in time and space, we have performed molecular dynamics simulations. The simulations were performed over 1 to 2 ns using explicit SPC water. The interaction energies between protein and lipid are mainly due to van der Waals contributions reflecting the hydrophobic nature of the lipid molecules. Estimations of the protonation state of titratable residues indicated that the negative charge on the fatty acid is stabilized by interactions with the titratable residues Tyr-28, His-143, and His-257. In the presence of a lipid patch, the active site lid opens wider than observed in the corresponding simulations in an aqueous environment. In that lid conformation, the hydrophobic residues Ile-85, Ile-89, and Leu-92 are embedded in the lipid patch. The behavior of the substrate or product molecule is sensitive to the environment. Entering and leaving of substrate molecules could be observed in presence of the lipid patch, whereas the product forms strong hydrogen bonds with Ser-82, Ser-144, and Trp-88, suggesting that the formation of hydrogen bonds may be an important contribution to the mechanism by which product inhibition might take place.     

Estimation of the binding affinities of FKBP12 inhibitors using a linear response method.

A series of non-immunosuppressive inhibitors of FK506 binding protein (FKBP12) are investigated using Monte Carlo statistical mechanics simulations. These small molecules may serve as scaffolds for chemical inducers of protein dimerization, and have recently been found to have FKBP12-dependent neurotrophic activity. A linear response model was developed for estimation of absolute binding free energies based on changes in electrostatic and van der Waals energies and solvent-accessible surface areas, which are accumulated during simulations of bound and unbound ligands. With average errors of 0.5 kcal/mol, this method provides a relatively rapid way to screen the binding of ligands while retaining the structural information content of more rigorous free energy calculations.     

Regulation of channel function due to physical energetic coupling with a lipid bilayer

Regulation of membrane protein functions due to hydrophobic coupling with a lipid bilayer has been investigated. An energy formula describing interactions between lipid bilayer and integral ion channels with different structures, which is based on the screened Coulomb interaction approximation, has been developed. Here the interaction energy is represented as being due to charge-based interactions between channel and lipid bilayer. The hydrophobic bilayer thickness channel length mismatch is found to induce channel destabilization exponentially while negative lipid curvature linearly. Experimental parameters related to channel dynamics are consistent with theoretical predictions. To measure comparable energy parameters directly in the system and to elucidate the mechanism at an atomistic level we performed molecular dynamics (MD) simulations of the ion channel forming peptide–lipid complexes. MD simulations indicate that peptides and lipids experience electrostatic and van der Waals interactions for short period of time when found within each other’s proximity. The energies from these two interactions are found to be similar to the energies derived theoretically using the screened Coulomb and the van der Waals interactions between peptides (in ion channel) and lipids (in lipid bilayer) due to mainly their charge properties. The results of in silico MD studies taken together with experimental observable parameters and theoretical energetic predictions suggest that the peptides induce ion channels inside lipid membranes due to peptide–lipid physical interactions. This study provides a new insight helping better understand of the underlying mechanisms of membrane protein functions in cell membrane leading to important biological implications.     

Molecular dynamics simulation exploration of unfolding and refolding of a ten-amino acid miniprotein

Steered molecular dynamics simulations are performed to explore the unfolding and refolding processes of CLN025, a 10-residue beta-hairpin. In unfolding process, when CLN025 is pulled along the termini, the force-extension curve goes back and forth between negative and positive values not long after the beginning of simulation. That is so different from what happens in other peptides, where force is positive most of the time. The abnormal phenomenon indicates that electrostatic interaction between the charged termini plays an important role in the stability of the beta-hairpin. In the refolding process, the collapse to beta-hairpin-like conformations is very fast, within only 3.6 ns, which is driven by hydrophobic interactions at the termini, as the hydrophobic cluster involves aromatic rings of Tyr1, Tyr2, Trp9, and Tyr10. Our simulations improve the understanding on the structure and function of this type of miniprotein and will be helpful to further investigate the unfolding and refolding of more complex proteins.     

Protein-nucleic acid recognition: statistical analysis of atomic interactions and influence of DNA structure

We analyzed structural features of 11,038 direct atomic contacts (either electrostatic, H-bonds, hydrophobic, or other van der Waals interactions) extracted from 139 protein-DNA and 49 protein-RNA nonhomologous complexes from the Protein Data Bank (PDB). Globally, H-bonds are the most frequent interactions (approximately 50%), followed by van der Waals, hydrophobic, and electrostatic interactions. From the protein viewpoint, hydrophilic amino acids are over-represented in the interaction databases: Positively charged amino acids mainly contact nucleic acid phosphate groups but can also interact with base edges. From the nucleotide point of view, DNA and RNA behave differently: Most protein-DNA interactions involve phosphate atoms, while protein-RNA interactions involve more frequently base edge and ribose atoms. The increased participation of DNA phosphate involves H-bonds rather than salt bridges. A statistical analysis was performed to find the occurrence of amino acid-nucleotide pairs most different from chance. These pairs were analyzed individually. Finally, we studied the conformation of DNA in the interaction sites. Despite the prevalence of B-DNA in the database, our results suggest that A-DNA is favored in the interaction sites.     

Protein docking using continuum electrostatics and geometric fit

The computer program DOT quickly finds low-energy docked structures for two proteins by performing a systematic search over six degrees of freedom. A novel feature of DOT is its energy function, which is the sum of both a Poisson-Boltzmann electrostatic energy and a van der Waals energy, each represented as a grid-based correlation function. DOT evaluates the energy of interaction for many orientations of the moving molecule and maintains separate lists scored by either the electrostatic energy, the van der Waals energy or the composite sum of both. The free energy is obtained by summing the Boltzmann factor over all rotations at each grid point. Three important findings are presented. First, for a wide variety of protein-protein interactions, the composite-energy function is shown to produce larger clusters of correct answers than found by scoring with either van der Waals energy (geometric fit) or electrostatic energy alone. Second, free-energy clusters are demonstrated to be indicators of binding sites. Third, the contributions of electrostatic and attractive van der Waals energies to the total energy term appropriately reflect the nature of the various types of protein-protein interactions studied.     

Molecular dynamics simulations of migration of ions and molecules through the acetylcholine receptor channel

A dynamic model of the channel of an acetylcholine receptor in a closed state has been proposed. The channel is formed by five a-helices of subunit M2 and stabilized by the cyclic hydrocarbon (CH2)105. The migration of charged and unchanged van der Waals particles with a diameter of 7.72 A equivalent to the diameter of a hydrated sodium ion has been studied. The migration occurred by the action of external force applied to the complex along the channel axis. In the closed state, the inhibition of ions is due to two components: electrostatic interaction and steric constraints. The van der Waals channel gate is formed by residues 13'-A-Val255, B-Val261, C-Val269, D-Val255, and E-Ile264, and the negatively changed residues occurring in the upper part of the channel have a great effect on ion selectivity.     

Protein-surface interactions

This article describes an energy-based approach to protein adsorption, focusing on the energies involved in the interactions between a protein and a surface. Mathematical modeling and simulation based on this approach allow an improved understanding of the conditions that favor or prevent adsorption of a protein onto a surface and that can play a significant role in the design of material surfaces that interact with biological tissues according to specific needs. Biocompatibility with respect to fluids in motion, such as blood, is the main foreseeable application of our work. The considered energies are the van der Waals energy, the electrostatic energy, and the hydrophobic or hydrophilic energy. Moreover, the motion of the medium in which particles are immersed is also taken into account, considering the drag effect of the motion of the fluid on the particle, leading to a kinetic contribution to the total energy. It is shown that the adsorption behavior is not mainly determined by the van der Waals energy and by the double layer energy, but that a significant role is also played by the hydrophobic or hydrophilic energy. These results support the findings of experimental studies.     

Comparison of end-point continuum-solvation methods for the calculation of protein-ligand binding free energies

We have compared the predictions of ligand‐binding affinities from several methods based on end‐point molecular dynamics simulations and continuum solvation, that is, methods related to MM/PBSA (molecular mechanics combined with Poisson–Boltzmann and surface area solvation). Two continuum‐solvation models were considered, viz., the Poisson–Boltzmann (PB) and generalised Born (GB) approaches. The nonelectrostatic energies were also obtained in two different ways, viz., either from the sum of the bonded, van der Waals, nonpolar solvation energies, and entropy terms (as in MM/PBSA), or from the scaled protein–ligand van der Waals interaction energy (as in the linear interaction energy approach, LIE). Three different approaches to calculate electrostatic energies were tested, viz., the sum of electrostatic interaction energies and polar solvation energies, obtained either from a single simulation of the complex or from three independent simulations of the complex, the free protein, and the free ligand, or the linear‐response approximation (LRA). Moreover, we investigated the effect of scaling the electrostatic interactions by an effective internal dielectric constant of the protein (?_int). All these methods were tested on the binding of seven biotin analogues to avidin and nine 3‐amidinobenzyl‐1H‐indole‐2‐carboxamide inhibitors to factor Xa. For avidin, the best results were obtained with a combination of the LIE nonelectrostatic energies with the MM+GB electrostatic energies from a single simulation, using ?_int = 4. For fXa, standard MM/GBSA, based on one simulation and using ?_int = 4–10 gave the best result. The optimum internal dielectric constant seems to be slightly higher with PB than with GB solvation. © Proteins 2012; © 2012 Wiley Periodicals, Inc.     

Folding mechanism of beta-hairpins studied by replica exchange molecular simulations

The folding process of trpzip2 beta-hairpin is studied by the replica exchange molecular dynamics (REMD) and normal MD simulations, aiming to understand the folding mechanism of this unique small, stable, and fast folder, as well as to reveal the general principles in the folding of beta-hairpins. According to our simulations, the TS ensemble is mainly characterized by a largely formed turn and the interaction between the inner pair of hydrophobic core residues. The folding is a zipping up of hydrogen bonds. However, the nascent turn has to be stabilized by the partially formed hydrophobic core to cross the TS. Thus our folding picture is in essence a blend of hydrogen bond-centric and hydrophobic core-centric mechanism. Our simulations provide a direct evidence for a very recent experiment (Du et al., Proc Natl Acad Sci USA 2004;101:15915-15920), which suggests that the turn formation is the rate-limiting step for beta-hairpin folding and the unfolding is mainly determined by the hydrophobic interactions. Besides, the relationship between hydrogen bond stabilities and their relative importance in folding are investigated. It is found that the hydrogen bonds with higher stabilities need not play more important roles in the folding process, and vice versa.     

Computing van der Waals energies in the context of the rotamer approximation

The rotamer approximation states that protein side-chain conformations can be described well using a finite set of rotational isomers. This approximation is often applied in the context of computational protein design and structure prediction to reduce the complexity of structural sampling. It is an effective way of reducing the structure space to the most relevant conformations. However, the appropriateness of rotamers for sampling structure space does not imply that a rotamer-based energy landscape preserves any of the properties of the true continuous energy landscape. Specifically, because the energy of a van der Waals interaction can be very sensitive to small changes in atomic separation, meaningful van der Waals energies are particularly difficult to calculate from rotamer-based structures. This presents a problem for computational protein design, where the total energy of a given structure is often represented as a sum of precalculated rigid rotamer self and pair contributions. A common way of addressing this issue is to modify the van der Waals function to reduce its sensitivity to atomic position, but excessive modification may result in a strongly nonphysical potential. Although many different van der Waals modifications have been used in protein design, little is known about which performs best, and why. In this paper, we study 10 ways of computing van der Waals energies under the rotamer approximation, representing four general classes, and compare their performance using a variety of metrics relevant to protein design and native-sequence repacking calculations. Scaling van der Waals radii by anywhere from 85 to 95% gives the best performance. Linearizing and capping the repulsive portion of the potential can give additional improvement, which comes primarily from getting rid of unrealistically large clash energies. On the other hand, continuously minimizing individual rotamer pairs prior to evaluating their interaction works acceptably in native-sequence repacking, but fails in protein design. Additionally, we show that the problem of predicting relevant van der Waals energies from rotamer-based structures is strongly nonpairwise decomposable and hence further modifications of the potential are unlikely to give significant improvement.     

Exploring the differences and similarities between urea and thermally driven denaturation of bovine serum albumin: intermolecular forces and solvation preferences

The interactions of bovine serum albumin (BSA) with urea/water were investigated by computer simulation. It was revealed that the BSA-hydrophobic residues in urea solutions favored contact with urea more than with water. Energy decomposition analysis showed that van der Waals energy was the dominant driving force behind urea affinity for hydrophobic residues, whereas coulombic attraction was largely responsible for water affinity for these residues. Meanwhile, urea–BSA hydrogen bond energies were found to be weaker than water–BSA hydrogen bond energies. The greater strength of water–BSA hydrogen bonds than urea–BSA hydrogen bonds, and the opposing preferential interaction between the BSA and urea suggest that disruption of hydrophobic interaction predominates urea–protein denaturation. In pure water, hydrophobic residues showed aggregation tendencies at 323 K, suggesting an increase in hydrophobicity, while at 353 K the residues were partly denatured due to loss of hydrogen bonds; thus, disruption of hydrophobic interactions appeared to contribute less to thermal denaturation.     

Influence of cation-pi interactions in different folding types of membrane proteins

Cation-pi interactions play an important role to the stability of protein structures. In this work, we analyze the influence of cation-pi interactions in three-dimensional structures of membrane proteins. We found that transmembrane strand (TMS) proteins have more number of cation-pi interactions than transmembrane helical (TMH) proteins. In TMH proteins, both the positively charged residues Lys and Arg equally experience favorable cation-pi interactions whereas in TMS proteins, Arg is more likely than Lys to be in such interactions. There is no relationship between number of cation-pi interactions and number of residues in TMH proteins whereas a good correlation was observed in TMS proteins. The average cation-pi interaction energy for TMH proteins is -16 kcal/mol and that for TMS proteins is -27 kcal/mol. The pair-wise cation-pi interaction energy between aromatic and positively charged residues showed that Lys-Trp energy is stronger in TMS proteins than TMH proteins; Arg-Phe, Arg-Tyr and Lys-Phe have higher energy in TMH proteins than TMS proteins. The decomposition of energies into electrostatic and van der Waals revealed that the contribution from electrostatic energy is twice as that from van der Waals energy in both TMH and TMS proteins. The results obtained in the present study would be helpful to understand the contribution of cation-pi interactions to the stability of membrane proteins.     

Molecular similarity analysis between insect juvenile hormone and N, N-diethyl-m-toluamide (DEET) analogs may aid design of novel insect repellents

Molecular similarity analysis of stereoelectronic properties between natural insect juvenile hormone (JH), -a synthetic insect juvenile hormone mimic (JH-mimic, undecen-2-yl carbamate), and N, N-diethyl-m-toluamide (DEET) and its analogs reveals similarities that may aid the design of more efficacious insect repellents and give a better insight into the mechanism of repellent action. The study involves quantum chemical calculations using the AM1 semi-empirical computational method enabling a conformational search for the lowest and most abundant energy conformers of JH, JH-mimic, and 15 DEET compounds, followed by complete geometry optimization of the conformers. Similarity analyses of stereoelectronic properties such as structural parameters, atomic charges, dipole moments, molecular electrostatic potentials, and highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) energies were performed on JH, JH-mimic and the DEET compounds. The similarity of stereoelectronic attributes of the amide/ester moiety, the negative electrostatic potential regions beyond the van der Waals surface, and the large distribution of hydrophobic regions in the compounds appear to be the three important factors leading to a similar interaction with the JH receptor. The similarity of electrostatic profiles beyond the van der Waals surface is likely to play a crucial role in molecular recognition interaction with the JH receptor from a distance. This also suggests electrostatic bioisosterism of the amide group of the DEET compounds and JH-mimic and, thus, a model for molecular recognition at the JH receptor. The insect repellent property of the DEET analogs may thus be attributed to a conflict of complementarity for the JH receptor binding sites.     

Study of the stability and unfolding mechanism of BBA1 by molecular dynamics simulations at different temperatures.

BBA1 is a designed protein that has only 23 residues. It is the smallest protein without disulfide bridges that has a well-defined tertiary structure in solution. We have performed unfolding molecular dynamics simulations on BBA1 and some of its mutants at 300, 330, 360, and 400 K to study their kinetic stability as well as the unfolding mechanism of BBA1. It was shown that the unfolding simulations can provide insights into the forces that stabilize the protein. Packing, hydrophobic interactions, and a salt bridge between Asp12 and Lys16 were found to be important to the protein's stability. The unfolding of BBA1 goes through two major steps: (1) disruption of the hydrophobic core and (2) unfolding of the helix. The beta-hairpin remains stable in the unfolding because of the high stability of the type II' turn connecting the two beta-strands.