FASTRUN: a special purpose, hardwired computer for molecular simulation.

We describe the design, construction, and performance of a special purpose, hardwired accelerator for molecular mechanical calculations called FASTRUN. The processor was designed at Columbia University in 1984, constructed in the Instrumentation Division of Brookhaven National Laboratory, and delivered to Columbia in final form in 1989. It was rendered functional for molecular mechanics in early 1990. Together with its host Star array processor, FASTRUN has a measured performance for molecular dynamics simulations which compares favorably with present day supercomputers. The hardware replication cost of FASTRUN is on the order of $100,000.00.     

Conformation of nifedipine in hydrated 1,2-di-myristoyl-sn-glycero-3-phosphorylcholine bilayer molecular dynamics simulation

The conformation of nifedipine, a cardiac and smooth muscle calcium ion channel antagonist is studied in a hydrated bilayer of forty nine 1,2-di-myristoyl-sn-glycero-3-phosphorylcho-line (DMPC) molecules using molecular dynamics (MD) simulation technique. The simulation was carried out in conditions of constant number, volume and temperature (NVT) at 310 K, which is above the liquid crystalline (Lα) transition temperature of DMPC. The periodic boundary conditions were applied in three-dimensions. Thus the model represented an infinite bilayer. The important geometric parameters characteristic to DMPC and nifedipine molecules were calculated and compared with other theoretical and experimental results pertaining to nifedipine and other related dihydrophyridine (DHP) analogues. Our results suggest that conformational parameters required for antagonist activity are fairly conserved during the interaction of nifedipine with DMPC bilary and bilayer stabilizes the drug conformation in the bioactive form.     

Protein under pressure: molecular dynamics simulation of the arc repressor

Experimental nuclear magnetic resonance results for the Arc Repressor have shown that this dimeric protein dissociates into a molten globule at high pressure. This structural change is accompanied by a modification of the hydrogen-bonding pattern of the intermolecular beta-sheet: it changes its character from intermolecular to intramolecular with respect to the two monomers. Molecular dynamics simulations of the Arc Repressor, as a monomer and a dimer, at elevated pressure have been performed with the aim to study this hypothesis and to identify the major structural and dynamical changes of the protein under such conditions. The monomer appears less stable than the dimer. However, the complete dissociation has not been seen because of the long timescale needed to observe this phenomenon. In fact, the protein structure altered very little when increasing the pressure. It became slightly compressed and the dynamics of the side-chains and the unfolding process slowed down. Increasing both, temperature and pressure, a tendency of conversion of intermolecular into intramolecular hydrogen bonds in the beta-sheet region has been detected, supporting the mentioned hypothesis. Also, the onset of denaturation of the separated chains was observed.     

On using time-averaging restraints in molecular dynamics simulation

Introducing experimental values as restraints into molecular dynamics (MD) simulations to bias the values of particular molecular properties, such as nuclear Overhauser effect intensities or distances, 3J coupling constants, chemical shifts or crystallographic structure factors, towards experimental values is a widely used structure refinement method. To account for the averaging of experimentally derived quantities inherent in the experimental techniques, time-averaging restraining methods may be used. In the case of structure refinement using 3J coupling constants from NMR experiments, time-averaging methods previously proposed can suffer from large artificially induced structural fluctuations. A modified time-averaged restraining potential energy function is proposed which overcomes this problem. The different possible approaches are compared using stochastic dynamics simulations of antamanide, a cyclic peptide of ten residues.     

Interaction of alginate single-chain polyguluronate segments with mono- and divalent metal cations: a comparative molecular dynamics study

The interaction of a set of monovalent (Na⁺, K⁺) and divalent (Mg²⁺, Ca²⁺) metal cations with single-chain polyguluronate (periodic chain based on a dodecameric repeat unit, 2₁-helical conformation) is investigated using explicit-solvent molecular dynamics simulations (at 300 K and 1 bar). A total of 14 (neutralising) combinations of the different ions are considered (single type of cation or simultaneous presence of two types of cation, either in the presence or absence of chloride anions). The main observations are: (1) the chain conformation and intramolecular hydrogen bonding is insensitive to the counter-ion environment; (2) the binding of the cations is essentially non-specific for all ions considered (counter-ion atmosphere confined within a cylinder of high ionic density, but no well-defined binding sites); (3) the density and tightness of the distributions of the different cations within the counter-ion atmosphere follow the approximate sequence Ca²⁺>Mg²⁺>K⁺～Na⁺; (4) the solvent-separated binding of the cations to the carboxylate groups of the chain is frequent, and its occurrence follows the approximate sequence K⁺>Na⁺>Ca²⁺>Mg²⁺ (contact-binding events as well as the binding of a cation to multiple carboxylate groups are very infrequent); and (5) the counter-ion atmosphere typically leads to a complete screening of the chain charge within 1.0–1.2 nm of the chain axis and, for most systems, to a charge reversal at about 1.5 nm (i.e. the effective chain charge becomes positive at this distance and as high in magnitude as one-quarter of the bare chain charge, before slowly decreasing to zero). These findings agree well (in a qualitative sense) with available experimental data and predictions from simple analytical models, and provide further insight concerning the nature of alginate–cation interactions in aqueous solution.     

Multiple time step diffusive Langevin dynamics for proteins

We present an algorithm for simulating the long time scale dynamics of proteins and other macromolecules. Our method applies the concept of multiple time step integration to the diffusive Langevin equation, in which short time scale dynamics are replaced by friction and noise. The macromolecular force field is represented at atomic resolution. Slow motions are modeled by constrained Langevin dynamics with very large time steps, while faster degrees of freedom are kept in local thermal equilibrium. In the limit of a sufficiently large molecule, our algorithm is shown to reduce the CPU time required by two orders of magnitude. We test the algorithm on two systems, alanine dipeptide and bovine pancreatic trypsin inhibitor (BPTI), and find that it accurately calculates a variety of equilibrium and dynamical properties. In the case of BPTI, the CPU time required is reduced by nearly a factor of 60 compared to a conventional, unconstrained Langevin simulation using the same force field. Proteins 30:215–227, 1998. © 1998 Wiley-Liss, Inc.     

Explicit-solvent molecular dynamics simulations of a DNA tetradecanucleotide duplex: lattice-sum versus reaction-field electrostatics

Five long-timescale (10 ns) explicit-solvent molecular dynamics simulations of a DNA tetradecanucleotide dimer are performed using the GROMOS 45A4 force field and the simple-point-charge water model, in order to investigate the effect of the treatment of long-range electrostatic interactions as well as of the box shape and size on the structure and dynamics of the molecule (starting from an idealised B-DNA conformation). Long-range electrostatic interactions are handled using either a lattice-sum (LS) method (particle–particle–particle–mesh; one simulation performed within a cubic box) or a cutoff-based reaction-field (RF) method (four simulations, with long-range cutoff distances of 1.4 or 2.0 nm and performed within cubic or truncated octahedral periodic boxes). The overall double-helical structure, including Watson–Crick (WC) base-pairing, is well conserved in the simulation employing the LS scheme. In contrast, the WC base-pairing is nearly completely disrupted in the four simulations employing the RF scheme. These four simulations result in highly distorted compact (cutoff distance of 1.4 nm) or extended (cutoff distance of 2 nm) structures, irrespective of the shape and size of the computational box. These differences observed between the two schemes seem correlated with large differences in the radial distribution function between charged entities (backbone phosphate groups and sodium counterions) within the system.     

A molecular dynamics study of Beta-Glucosidase B upon small substrate binding

Paenibacillus polymyxa β-glucosidase B (BglB), belongs to a GH family 1, is a monomeric enzyme that acts as an exo-β-glucosidase hydrolysing cellobiose and cellodextrins of higher degree of polymerization using retaining mechanism. A molecular dynamics (MD) simulation was performed at 300 K under periodic boundary condition for 5 ns using the complexes structure obtained from previous docking study, namely BglB-Beta-d-glucose and BglB-Cellobiose. From the root-mean-square deviation analysis, both enzyme complexes were reported to deviate from the initial structure in the early part of the simulation but it was stable afterwards. The root-mean-square fluctuation analysis revealed that the most flexible regions comprised of the residues from 26 to 29, 43 to 53, 272 to 276, 306 to 325 and 364 to 367. The radius of gyration analysis had shown the structure of BglB without substrate became more compact towards the end of the simulation compare to other two complexes. The residues His122 and Trp410 were observed to form stable hydrogen bond with occupancy higher than 10%. In conclusion, the behaviour of BglB enzyme towards the substrate binding was successfully explored via MD simulation approaches.     

Characterization of differences in substrate specificity among CYP1A1, CYP1A2 and CYP1B1: an integrated approach employing molecular docking and molecular dynamics simulations

Recent trends in new drug discovery of anticancer drugs have made oncologists more aware of the fact that the new drug discovery must target the developing mechanism of tumorigenesis to improve the therapeutic efficacy of antineoplastic drugs. The drugs designed are expected to have high affinity towards the novel targets selectively. Current research highlights overexpression of CYP450s, particularly cytochrome P450 1A1 (CYP1A1), in tumour cells, representing a novel target for anticancer therapy. However, the CYP1 family is identified as posing significant problems in selectivity of anticancer molecules towards CYP1A1. Three members have been identified in the human CYP1 family: CYP1A1, CYP1A2 and CYP1B1. Although sequences of the three isoform have high sequence identity, they have distinct substrate specificities. The understanding of macromolecular features that govern substrate specificity is required to understand the interplay between the protein function and dynamics, design novel antitumour compounds that could be specifically metabolized by only CYP1A1 to mediate their antitumour activity and elucidate the reasons for differences in substrate specificity profile among the three proteins. In the present study, we employed a combination of computational methodologies: molecular docking and molecular dynamics simulations. We utilized eight substrates for elucidating the difference in substrate specificity of the three isoforms. Lastly, we conclude that the substrate specificity of a particular substrate depends upon the type of the active site residues, the dynamic motions in the protein structure upon ligand binding and the physico‐chemical characteristics of a particular ligand. Copyright © 2016 John Wiley & Sons, Ltd.     

Principles of carbopeptoid folding: a molecular dynamics simulation study.

The conformational spaces of five oligomers of tetrahydrofuran-based carbopeptoids in chloroform and dimethyl sulfoxide were investigated through nine molecular dynamics simulations. Prompted by nuclear magnetic resonance experiments that indicated various stable folds for some but not all of these carbopeptoids, their folding behaviour was investigated as a function of stereochemistry, chain length and solvent. The conformational distributions of these molecules were analysed in terms of occurrence of hydrogen bonds, backbone torsional-angle distributions, conformational clustering and solute configurational entropy. While a cis-linkage across the tetrahydrofuran ring favours right-handed helical structures, a trans-linkage results in a larger conformational variability. Intra-solute hydrogen bonding is reduced with increasing chain length and with increasing solvent polarity. Solute configurational entropies confirm the picture obtained: they are smaller for cis- than for trans-linked peptides, for chloroform than for dimethyl sulfoxide as solvent and for shorter peptide chains. The simulations provide an atomic picture of molecular conformational variability that is consistent with the available experimental data.     

An assessment of optimal time scale of conformational resampling for parallel cascade selection molecular dynamics

Parallel cascade selection molecular dynamics (PaCS-MD) has been proposed as a conformational sampling method for enhancing structural transitions from a given reactant to a product by repeating cycles of short-time MD simulations. In the present paper, we assessed how the time scale of a short-time MD simulation affected the computational efficiency by changing the simulation length. In conclusion, ps-order (t_ps) PaCS-MD simulations showed a higher computational efficiency as a total simulation time over the cycles than ns-order (t_ns) PaCS-MD simulations, indicating that t_ps might be suitable for generating structural transitions efficiently.     

A molecular dynamics investigation of buckling behaviour of hydrogenated graphene

Molecular dynamics simulations have been performed to characterise the stability behaviour of graphene nanoribbons having different hydrogen coverage, subject to a uniaxial compressive load. The temperature is set at a very low value to circumvent the contribution of thermal agitations. The results show that hydrogen coverage promotes to a rapid drop in the strain of buckling onset due to the effects of easy rotation of newly unsupported sp³ bonds. Furthermore, we have also found a critical value of the hydrogen adsorption above which the declining trend in the stability behaviour of hydrogenated graphene nanoribbons is reversed.     

Complex disruption effect of natural polyphenols on Bcl-2-Bax: molecular dynamics simulation and essential dynamics study

Apoptosis (programmed cell death) is a process by which cells died after completing physiological function or after a severe genetic damage. Apoptosis is mainly regulated by the Bcl-2 family of proteins. Anti apoptotic protein Bcl-2 prevents the Bax activation/oligomerization to form heterodimer which is responsible for release of the cytochrome c from mitochondria to the cytosol in response to death signal. Quercetin and taxifolin (natural polyphenols) efficiently bound to hydrophobic groove of Bcl-2 and altered the structure by inducing conformational changes. Taxifolin was found more efficient when compared to quercetin in terms of interaction energy and collapse of hydrophobic groove. Taxifolin and quercetin were found to dissociate the Bcl-2-Bax complex during 12?ns MD simulation. The effect of taxifolin and quercetin was, further validated by the MD simulation of ligand-unbound Bcl-2-Bax which showed stability during the simulation. Obatoclax (an inhibitor of Bcl-2) had no significant dissociation effect on Bcl-2-Bax during simulation which favored the previous experimental results and disruption effect of taxifolin and quercetin.     

Catalytic mechanism of cyclophilin as observed in molecular dynamics simulations: pathway prediction and reconciliation of X-ray crystallographic and NMR solution data

Cyclophilins are proteins that catalyze X-proline cis-trans interconversion, where X represents any amino acid. Its mechanism of action has been investigated over the past years but still generates discussion, especially because until recently structures of the ligand in the cis and trans conformations for the same system were lacking. X-ray crystallographic structures for the complex cyclophilin A and HIV-1 capsid mutants with ligands in the cis and trans conformations suggest a mechanism where the N-terminal portion of the ligand rotates during the cis-trans isomerization. However, a few years before, a C-terminal rotating ligand was proposed to explain NMR solution data. In the present study we use molecular dynamics (MD) simulations to generate a trans structure starting from the cis structure. From simulations starting from the cis and trans structures obtained through the rotational pathways, the seeming contradiction between the two sets of experimental data could be resolved. The simulated N-terminal rotated trans structure shows good agreement with the equivalent crystal structure and, moreover, is consistent with the NMR data. These results illustrate the use of MD simulation at atomic resolution to model structural transitions and to interpret experimental data.     

A molecular dynamics analysis of protein structural elements

The relation between protein secondary structure and internal motions was examined by using molecular dynamics to calculate positional fluctuations of individual helix, beta-sheet, and loop structural elements in free and substrate-bound hen egg-white lysozyme. The time development of the fluctuations revealed a general correspondence between structure and dynamics; the fluctuations of the helices and beta-sheets converged within the 101 psec period of the simulation and were lower than average in magnitude, while the fluctuations of the loop regions were not converged and were mostly larger than average in magnitude. Notable exceptions to this pattern occurred in the substrate-bound simulation. A loop region (residues 101-107) of the active site cleft had significantly reduced motion due to interactions with the substrate. Moreover, part of a loop and a 3(10) helix (residues of 67-88) not in contact with the substrate showed a marked increase in fluctuations. That these differences in dynamics of free and substrate-bound lysozyme did not result simply from sampling errors was established by an analysis of the variations in the fluctuations of the two halves of the 101 psec simulation of free lysozyme. Concerted transitions of four to five mainchain phi and psi angles between dihedral wells were shown to be responsible for large coordinate shifts in the loops. These transitions displaced six or fewer residues and took place either abruptly, in 1 psec or less, or with a diffusive character over 5-10 psec. Displacements of rigid secondary structures involved longer timescale motions in bound lysozyme; a 0.5 A rms change in the position of a helix occurred over the 55 psec simulation period. This helix reorientation within the protein appears to be a response to substrate binding. There was little correlation between the solvent accessible surface area and the dynamics of the different structural elements.     

Solvent-induced lid opening in lipases: A molecular dynamics study

In most lipases, a mobile lid covers the substrate binding site. In this closed structure, the lipase is assumed to be inactive. Upon activation of the lipase by contact with a hydrophobic solvent or at a hydrophobic interface, the lid opens. In its open structure, the substrate binding site is accessible and the lipase is active. The molecular mechanism of this interfacial activation was studied for three lipases (from Candida rugosa, Rhizomucor miehei, and Thermomyces lanuginosa) by multiple molecular dynamics simulations for 25 ns without applying restraints or external forces. As initial structures of the simulations, the closed and open structures of the lipases were used. Both the closed and the open structure were simulated in water and in an organic solvent, toluene. In simulations of the closed lipases in water, no conformational transition was observed. However, in three independent simulations of the closed lipases in toluene the lid gradually opened. Thus, pathways of the conformational transitions were investigated and possible kinetic bottlenecks were suggested. The open structures in toluene were stable, but in water the lid of all three lipases moved towards the closed structure and partially unfolded. Thus, in all three lipases opening and closing was driven by the solvent and independent of a bound substrate molecule.     

An efficiently extendable and fine-grain parallelised molecular dynamics simulation program: Mid

A new implementation of molecular dynamics simulation is presented. We employed policy-based design to achieve static polymorphism within our simulation programs. This technique provides flexibility and extensibility without additional if-statement branching in the simulation program development. It is shown that policy-based implementation prevents computational performance degradation. We used a fine-grained domain decomposition scheme to parallelise the simulation program. The smaller size decomposition reduces the total amount of inter-processing-core communication and affords good scalability for parallel calculation of short-range forces. The calculation of long-range interactions limits the total scalability. For enhanced performance at high levels of parallelism, the calculation methods for long-range interactions should be improved.     

Conformational dynamics of the mitochondrial ADP/ATP carrier: a simulation study

The mitochondrial ADP/ATP carrier is a six helix bundle membrane transport protein, which couples the exit of ATP from the mitochondrial matrix to the entry of ADP. Extended (4×20 ns) molecular dynamics simulations of the carrier, in the presence and absence of bound inhibitor (carboxyatractyloside), have been used to explore the conformational dynamics of the protein in a lipid bilayer environment, in the presence and absence of the carboxyatractyloside inhibitor. The dynamic flexibility (measured as conformational drift and fluctuations) of the protein is reduced in the presence of bound inhibitor. Proline residues in transmembrane helices H1, H3 and H5 appear to form dynamic hinges. Fluctuations in inter-helix salt bridges are also observed over the time course of the simulations. Inhibitor-protein and lipid-protein interactions have been characterised in some detail. Overall, the simulations support a transport mechanism in which flexibility about the proline hinges enables a transition between a ‘closed’ and an ‘open’ pore-like state of the carrier protein.     

Signaling pathways of PDZ2 domain: a molecular dynamics interaction correlation analysis

PDZ domains are found in many signaling proteins. One of their functions is to provide scaffolds for forming membrane-associated protein complexes by binding to the carboxyl termini of their partners. PDZ domains are thought also to play a signal transduction role by propagating the information that binding has occurred to remote sites. In this study, a molecular dynamics (MD) simulation-based approach, referred to as an interaction correlation analysis, is applied to the PDZ2 domain to identify the possible signal transduction pathways. A residue correlation matrix is constructed from the interaction energy correlations between all residue pairs obtained from the MD simulations. Two continuous interaction pathways, starting at the ligand binding pocket, are identified by a hierarchical clustering analysis of the residue correlation matrix. One pathway is mainly localized at the N-terminal side of helix alpha1 and the adjacent C-terminus of loop beta1-beta2. The other pathway is perpendicular to the central beta-sheet and extends toward the side of PDZ2 domain opposite to the ligand binding pocket. The results complement previous studies based on multiple sequence analysis, NMR, and MD simulations. Importantly, they reveal the energetic origin of the long-range coupling. The PDZ2 results, as well as the earlier rhodopsin analysis, show that the interaction correlation analysis is a robust approach for determining pathways of intramolecular signal transduction.     

pH‐dependent conformational dynamics of beta‐secretase 1: A molecular dynamics study

Beta‐secretase 1 (BACE‐1) is an aspartyl protease implicated in the overproduction of β‐amyloid fibrils responsible for Alzheimer disease. The process of β‐amyloid genesis is known to be pH dependent, with an activity peak between solution pH of 3.5 and 5.5. We have studied the pH‐dependent dynamics of BACE‐1 to better understand the pH dependent mechanism. We have implemented support for graphics processor unit (GPU) accelerated constant pH molecular dynamics within the AMBER molecular dynamics software package and employed this to determine the relative population of different aspartyl dyad protonation states in the pH range of greatest β‐amyloid production, followed by conventional molecular dynamics to explore the differences among the various aspartyl dyad protonation states. We observed a difference in dynamics between double‐protonated, mono‐protonated, and double‐deprotonated states over the known pH range of higher activity. These differences include Tyr 71‐aspartyl dyad proximity and active water lifetime. This work indicates that Tyr 71 stabilizes catalytic water in the aspartyl dyad active site, enabling BACE‐1 activity.