Structural stability and buckling analysis of a series of carbon nanotorus using molecular dynamics simulations

Based on molecular dynamics (MD) simulations, the buckling analysis of a perfect carbon nanotorus is presented herein. First of all, the minimum length of single-walled carbon nanotubes (SWCNTs) with different radii is determined at which perfect toroidal CNTs can be formed without any ripple at the inner side of the rings. According to the results, by increasing the radius of SWCNT (r), the radius of its corresponding perfect nanotorus (R) increases. Also, for SWCNTs with various lengths, it is found that the buckling force and strain of related carbon nanotoruses increase by increasing R/r. In addition, as the perfect toroidal CNTs are arranged vertically in a column form in accordance with two different schemes, the effects of increasing the radius (R) and the number of carbon nanotoruses (the height of the column made by nanotoruses) on the buckling force and strain are investigated. Based on the results, as a fixed number of carbon nanotoruses with the same radius are arranged vertically in the column form, the buckling force and strain increase by increasing R/r. By contrast, increasing the height of the column made by carbon nanotoruses with similar radius leads to the reduction of buckling force and strain.     

Eutectic formation analysis of amino acid mixtures using molecular dynamics simulations

The mechanism of eutectic formation was investigated via computer-aided molecular dynamics techniques based on experimental results. The CBZ group mixtures CBZ-l-Asp/d-AlaNH2 x HCl/methanol, CBZ-l-Asp/l-PheOMe x HCl/methanol, and CBZ-l-Tyr/l-ArgNH2 x 2HCl/methanol formed transparent eutectic melts. The non-CBZ group mixtures l-Asp/d-AlaNH2 x HCl/methanol, l-Asp/l-PheOMe x HCl/methanol, and l-Tyr/l-ArgNH2 x 2HCl/methanol did not form eutectic melts. According to molecular dynamics simulation results, increase in the kinetic energy values of eutectic forming mixtures was much larger than the increase in potential energy over a temperature shift from 298 to 333 K. However, the results for non-eutectic forming mixtures were reversed. The Coulomb interaction energies of eutectic forming mixtures significantly decreased, because eutectic melting can increase the mobility of molecules in the mixtures. The enhancement of molecular mobility was confirmed by increased self-diffusion constant values, and the change of solid-to-liquid phase was detected by radial distribution function results. The periodic boundary conditions for calculation of molecular dynamics were found to be reliable.     

Conformational analysis and molecular dynamics simulations of maltose

Constrained conformational energy minimizations have been used to calculate an adiabatic (Φ, ψ) potential energy surface for the disaccharide β-maltose. The inclusion of molecular flexibility in the conformational energy analysis of the disaccharide was found to significantly lower the barriers to conformational transitions, as has been observed previously for other systems. Several low energy wells were identified on the adiabatic surface which differ in energy by small amounts and with low absolute barriers separating them, indicating the possibility of a non-negligible equilibrium population distribution in each well. If such a distribution of conformations existed in the physical system, the conformation observed by NMR NOE measurements would thus be a “virtual” conformation. Molecular dynamics simulations of the motions of this molecule in vacuum were also conducted and indicate that the rate of relaxation of the molecule to the adiabatic surface may be slower than the typical timescale of conformational fluctuations. This effect is apparently due to an unphysical persistence of hydrogen bond patterns in vacuum which does not occur in aqueous solution. Trajectories undergoing transitions between wells were calculated and the effects of such conformational transitions upon the ensemble mean structure, such as might be observed in an NMR experiment, were demonstrated.     

Protein flexibility using constraints from molecular dynamics simulations

Proteins are held together in the native state by hydrophobic interactions, hydrogen bonds and interactions with the surrounding water, whose strength as well as spatial and temporal distribution affects protein flexibility and hence function. We study these effects using 10 ns molecular dynamics simulations of pure water and of two proteins, the glutamate receptor ligand binding domain and barnase. We find that most of the noncovalent interactions flicker on and off over typically nanoseconds, and so we can obtain good statistics from the molecular dynamics simulations. Based on this information, a topological network of rigid bonds corresponding to a protein structure with covalent and noncovalent bonds is constructed, with account being taken of the influence of the flickering hydrogen bonds. We define the duty cycle for the noncovalent interactions as the percentage of time a given interaction is present, which we use as an input to investigate flexibility/rigidity patterns, in the algorithm FIRST which constructs and analyses topological networks.     

Sequence-dependent DNA deformability studied using molecular dynamics simulations

Proteins recognize specific DNA sequences not only through direct contact between amino acids and bases, but also indirectly based on the sequence-dependent conformation and deformability of the DNA (indirect readout). We used molecular dynamics simulations to analyze the sequence-dependent DNA conformations of all 136 possible tetrameric sequences sandwiched between CGCG sequences. The deformability of dimeric steps obtained by the simulations is consistent with that by the crystal structures. The simulation results further showed that the conformation and deformability of the tetramers can highly depend on the flanking base pairs. The conformations of xATx tetramers show the most rigidity and are not affected by the flanking base pairs and the xYRx show by contrast the greatest flexibility and change their conformations depending on the base pairs at both ends, suggesting tetramers with the same central dimer can show different deformabilities. These results suggest that analysis of dimeric steps alone may overlook some conformational features of DNA and provide insight into the mechanism of indirect readout during protein–DNA recognition. Moreover, the sequence dependence of DNA conformation and deformability may be used to estimate the contribution of indirect readout to the specificity of protein–DNA recognition as well as nucleosome positioning and large-scale behavior of nucleic acids.     

Structural reorganization of molecular sheets derived from cellulose II by molecular dynamics simulations

We investigated structural reorganization of two different kinds of molecular sheets derived from the cellulose II crystal using molecular dynamics (MD) simulations, in order to identify the initial structure of the cellulose crystal in the course of its regeneration process from solution. After a one-nanosecond simulation, the molecular sheet formed by van der Waals forces along the () crystal plane did not change its structure in an aqueous environment, while the other one formed by hydrogen bonds along the (1 1 0) crystal plane changed into a van der Waals-associated molecular sheet, such as the former. The two structures that were calculated showed substantial similarities such as the high occupancy of intramolecular hydrogen bonds between O3^H and O5 of over 0.75, few intermolecular hydrogen bonds, and the high occurrence of hydrogen bonding with water. The convergence of the two structures into one denotes that the van der Waals-associated molecular sheet can be the initial structure of the cellulose crystal formed in solution. The main chain conformations were almost the same as those in the cellulose II crystal except for a −16° shift of φ (dihedral angle of O5-C1-O1-C4) and the gauche-gauche conformation of the hydroxymethyl side group appears probably due to its hydrogen bonding with water. These results suggest that the van der Waals-associated molecular sheet becomes stable in an aqueous environment with its hydrophobic inside and hydrophilic periphery. Contrary to this, a benzene environment preferred a hydrogen-bonded molecular sheet, which is expected to be the initial structure formed in benzene.     

Characterization of molecular structures and properties of polyurethanes using molecular dynamics simulations

Thermotropic polyurethanes with mesogenic groups in side chains were prepared from two diisocyanates and four diols with stoichiometric ratios of reactive isocyanate (NCO) and hydroxy (OH) groups. Their thermal behavior was determined by differential scanning calorimetry. The effect of structure modifications of the diisocyanates and diols, in particular changes in the mesogen, were investigated. Introduction of mesogenic segments into the polymers suppresses the ordering. Stiff end substituents (phenyl and alkoxy groups) of the mesogens stabilize the mesophases to such an extent that the negative influence of long polymer chains is compensated and the liquid-crystalline properties are recovered. All-atom molecular dynamics simulations in the Cerius² modeling environment were carried out to characterize the structures of the polymers. Analysis of the dynamic trajectories at 20, 100, 120 and 170 °C revealed changes in conformation of macromolecules, which correlate with DSC measurements.Figure Example of structure relaxation of D4/TDI molecule at indicated simulation times (temperature 20 °C): a complete structure; b backbone structure; c top view of molecule     

Structural insight into antisense gapmer-RNA oligomer duplexes through molecular dynamics simulations

There is an extensive research carrying out on antisense technology and the molecules entering into clinical trials are increasing rapidly. Phosphorothioate (PS) is a chemical modification in which nonbridged oxygen is replaced with a sulfur, consequently providing resistance against nuclease activity. The 2'-4' conformationally restricted nucleoside has the structural features of both 2'-O-methoxy ethyl RNA (MOE), which shows good toxicity profile, and locked nucleic acid (LNA), which shows good binding affinity towards the target RNA. These modifications have been studied and suggested that they can be a potential therapeutic agents in antisense therapy. Mipomersen (ISIS 301012), which contains the novel nucleoside modification has been used to target to apolipoprotein (Apo B), which reduces LDL cholesterol by 6–41%. In this study, classical molecular dynamics (MD) simulations were performed on six different antisense gapmer/target-RNA oligomer duplexes (LNA-PS-LNA/RNA, RcMOE-PS-RcMOE/RNA, ScMOE-PS-ScMOE/RNA, MOE-PS-MOE/RNA, PS-DNA/RNA and DNA/RNA) to investigate the structural dynamics, stability and solvation properties. The LNA, MOE nucleotides present in respective duplexes are showing the structure of A-form and the PS-DNA nucleotides resemble the structure of B-form helix with respect to some of the helical parameters. Free energy calculations suggest that the oligomer, which contains LNA binds to the RNA strongly than other modifications as shown in experimental results. The MOE modified nucleotide, which although had a lower binding affinity but higher solvent accessible surface area (SASA) compared to the other modifications, may be influencing the toxicity and hence may be used it in Mipomersen, the second antisense molecule which is approved by FDA.

Communicated by Ramaswamy H. Sarma     

Force field impact and spin-probe modeling in molecular dynamics simulations of spin-labeled T4 lysozyme

Several attempts have been made to compute electron paramagnetic resonance (EPR) spectra of biomolecules, using motional models or simulated trajectories to describe dynamics. Ideally, the simulated trajectories should capture fast (picosecond) snapshots of spin-probe rotations accurately, while being lengthy enough to ensure a proper Fourier integration of the time-domain signal. It is the interplay of the two criteria that poses computational challenges to the method. In this context, an analysis of the spin-probe and protein conformational sampling and equilibration, with different force fields and with explicit solvent, may be a useful attempt. The present work reports a comparative study of the effect of the molecular dynamics (MD) force field on conformational sampling and equilibration in two spin-labeled T4 lysozyme (T4L) variants, N40C and K48C. Ensembles of 10× 3 ns-trajectories per variant and per force field (OPLS/AMBER and AMBER99) are analyzed for a reliable assessment of convergence and sampling. It is found that subtle site-dependent differences in spin-probe rotations and torsions are more readily captured in the AMBER99 trajectories than in the OPLS/AMBER simulations. On the other hand, sampling and equilibration are found to be better with the OPLS/AMBER force field at equal trajectory lengths.Figure: Left panel: The spin-probe R1 ring and the spin-probe Euler angles , and . Middle panel: Illustration of the diffusion in a cone model for the spin-probe motion: snapshots of helix B and of the R1 ring in N40C, taken at 0.3 ps intervals from AMBER trajectory 1. Right panel: The N40C mutant with the spin label (solid mode), solvated in a cubic box.     

Analysis of ligand binding to proteins using molecular dynamics simulations

This work aims to explore theoretically the molecular mechanisms of ligand binding to proteins through the use of molecular dynamics simulations. The binding of sodium dodecyl sulfate (SDS) to cobra cardio toxin A3 (CTX A3) and thiourea (TOU) to lysozyme have been chosen as the two model systems. Data acquisitions were made by Gromacs software. To begin with, the collisions of ligand molecules with every residue of CTX A3 and lysozyme were evaluated. With this information in hand, the average numbers of collisions with each residue was defined and then assessed. Next, a measure of the affinity of a residue, P_i, referred to as conformational factor, toward a ligand molecule was established. Based on the results provided, all site-making residues for CTX A3 and lysozyme were identified. The results are in good agreement with the experimental data. Finally, based on this method, all site-making residues of bovine carbonic anhydrase (BCA) toward the SDS ligand were predicted.     

Exploration of conformational transition in the aryl-binding site of human FXa using molecular dynamics simulations

Human coagulation Factor X (FX), a member of the vitamin K-dependent serine protease family, is a crucial component of the human coagulation cascade. Activated FX (FXa) participates in forming the prothrombinase complex on activated platelets to convert prothrombin to thrombin in coagulation reactions. In the current study, 30-ns MD simulations were performed on both the open and closed states of human FXa. Root mean squares (RMS) fluctuations showed that structural fluctuations concentrated on the loop regions of FXa, and the presence of a ligand in the closed system resulted in larger fluctuations of the gating residues. The open system had a gating distance from 9.23 to 11.33 ?, i.e., significantly larger than that of the closed system (4.69-6.35 ?), which allows diversified substrates of variable size to enter. Although the solvent accessible surface areas (SASA) of FXa remained the same in both systems, the open system generally had a larger total SASA or hydrophobic SASA (or both) for residues surrounding the S4 pocket. Additionally, more hydrogen bonds were formed in the closed state than in the open state of FXa, which is believed to play a significant role in maintaining the closed confirmation of the aryl-binding site. Based on the results of MD simulations, we propose that an induced-fit mechanism governs the functioning of human coagulation FX, which helps provide a better understanding of the interactions between FXa and its substrate, and the mechanism of the conformational changes involved in human coagulation.     

Exploring the structure and dynamics of nano-confined water molecules using molecular dynamics simulations

Confinement effects can lead to drastic changes in the structural and dynamical properties of water molecules. In this work, we have performed classical molecular dynamics simulations of endohedral fullerenes of type (H₂O)_n@C_m (n = 1, 12, 21, 62, 108 and m = 60, 180, 240, 500 and 720) to explore the effects of spherical confinement on water properties. It is shown that these confined water molecules can form distinct solvation pattern depending upon the available space inside the fullerene cavity. For the systems with smaller diameter, cage-like structure is predominant whereas bulk-like structure is observed for larger fullerenes. The orientational relaxation of these confined water molecules showed slower relaxation as the cavity diameter increases except for the (H₂O)₂₁@C₂₄₀. In this case, stable cage-like structure hinders the overall dynamics of the trapped water molecules. Finally, we have calculated the hydrogen bond lifetimes from the hydrogen bond time correlation functions and compared with that of bulk water.     

Structural insights into Rab21 GTPase activation mechanism by molecular dynamics simulations

Rab proteins belong to the family of monomeric GTPases which are involved in the cellular membrane trafficking. Rab21 protein exists in interchangeable GTP- and GDP-bound states. Rabs switch between two active and inactive conformations like other GTPases. The inactive form of Rab is bound to GDP while its active form is bounded with the GTP. Interexchange between active and inactive form is mediated by the GDP/GTP exchange factor (GEF) which catalyses the conversion from GDP-bound to GTP-bound form, thereby activating the Rab. While the GTP hydrolysis of Rabs is regulated by a GTPase-activating protein (GAP) which causes Rab inactivation. Here, we report the structural flexibility of the Rab21-GTP and Rab21-GDP complexes by docking and molecular dynamics (MD) simulations. Structural analysis of exchange mechanisms of the co-factors complexed with Rab21 reveals that Cys29, Thr33, His48, Gln78 and Lys133 are essentially important in the activation of proteins. Furthermore, a significant change in the orientation of the interacting co-factors, with slight variation in the free energy of binding was observed. Complexation of GEF with Rab21-GTP and Rab21-GDP reveal a flipping of the switchable residues. Finally, 50 ns MD simulations confirm that the GTP-bound Rab21 complex is thermodynamically more favoured than the corresponding GDP-bound complex. This study provides a detailed understanding of the structural elements involved in the conformational changes of Rab21.     

Investigating biological systems using first principles Car-Parrinello molecular dynamics simulations

Density functional theory (DFT)-based Car-Parrinello molecular dynamics (CPMD) simulations describe the time evolution of molecular systems without resorting to a predefined potential energy surface. CPMD and hybrid molecular mechanics/CPMD schemes have recently enabled the calculation of redox properties of electron transfer proteins in their complex biological environment. They provided structural and spectroscopic information on novel platinum-based anticancer drugs that target DNA, also setting the basis for the construction of force fields for the metal lesion. Molecular mechanics/CPMD also lead to mechanistic hypotheses for a variety of metalloenzymes. Recent advances that increase the accuracy of DFT and the efficiency of investigating rare events are further expanding the domain of CPMD applications to biomolecules.     

Prediction of the stability of coiled coils using molecular dynamics simulations

We have performed 40–80 ns-long molecular dynamics (MD) simulations of the GCN4 leucine zipper and synthetic coiled coils using the GROMOS96 (43a2) and OPLS-AA force fields, with the aim of predicting coiled coil stability. Starting with an initial configuration of two peptides placed in an ideal coiled coil configuration, we find that changing the amino acid sequence modestly or decreasing peptide length can lead to a decrease in the final α-helicity of coiled coils, although for peptides as long or longer than 16 residues, the values of helicity do not decrease to the low values seen in the experimental results of Lumb et al. (Biochemistry. 1994, 33, 7361–7367) or of Su et al. (Biochemistry. 1994, 33, 15501–15510), presumably because the simulations are not long enough. We find, however, that helicity correlates positively with the number of close hydrophobic interactions between the two peptides, showing that stable coiled coils in the simulations are tightly packed. The minimum interhelical distances are 0.50–0.66 nm for charged groups, indicating that favorable charge interactions are also important for the stability of the coiled coil.     

Structural dynamics of full-length retroviral integrase: a molecular dynamics analysis

HIV integrase catalyzes the integration between host and viral DNA and is considered as an interesting target for treating HIV. Knowledge of the complete structure of integrase is inevitable to describe the communicative inter-domain interactions affecting the HIV integration and disintegration process and hence the study on full-length integrase turns out to be an essential task. In this investigation, a structure of full-length integrase is designed to analyze the global dynamics of integrase dimer and monomers (with and without the C-terminal, 270-288 amino acids) for a period of 20?ns. The molecular dynamics analysis and the subsequent DynDom analysis reveal (i) a stable dynamics of dimeric CCD and NTD domains and (ii) CCD-α11-mediated rotational-cum-translational CTD motion as the functional dynamics of IN dimer. This observation supports that (i) aggregation enhances the integrase activity and (ii) flexible CTD for its cis and trans coordination with CCD. The role of C-loop over the dynamics of integrase is also explored, which unveils that the spatial arrangement of integrase domains is changed during dynamics in the absence of C-loop. In essence, here we report a C-loop-dependent structural dynamics of integrase and the active dynamics of integrase in dimer. Further studies on C-loop sensing mechanism and the multimerization of integrase would provide insight into HIV integration and disintegration processes. Supplementary material. Movies generated from molecular dynamics trajectory showing the CTD dynamics of IN structures (monomers with & without C-loop and dimer) are linked online to this article. The remaining supplementary data can be downloaded from the author's server at the URL http://ramutha.bicpu.edu.in .     

Structural properties of a highly polyunsaturated lipid bilayer from molecular dynamics simulations.

The structure of a fully hydrated mixed (saturated/polyunsaturated) chain lipid bilayer in the biologically relevant liquid crystalline phase has been examined by performing a molecular dynamics study. The model membrane, a 1-stearoyl-2-docosahexaenoyl-sn-glycero-3-phosphocholine (SDPC, 18:0/22:6 PC) lipid bilayer, was investigated at constant (room) temperature and (ambient) pressure, and the results obtained in the nanosecond time scale reproduced quite well the available experimental data. Polyunsaturated fatty acids are found in high concentrations in neuronal and retinal tissues and are essential for the development of human brain function. The docosahexaenoic fatty acid, in particular, is fundamental for the proper function of the visual receptor rhodopsin. The lipid bilayer order has been investigated through the orientational order parameters. The water-lipid interface has been explored thoroughly in terms of its dimensions and the organization of the different components. Several types of interactions occurring in the system have been analyzed, specifically, the water-hydrocarbon chain, lipid-lipid and lipid-water interactions. The distribution of dihedral angles along the chains and the molecular conformations of the polyunsaturated chain of the lipids have also been studied. Special attention has been focused on the microscopic (molecular) origin of the effects of polyunsaturations on the different physical properties of membranes.