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Qiang Cui

Publications and source records attributed to Qiang Cui.

10 recordsLinked to original sources
PubMed2004

Analysis of functional motions in Brownian molecular machines with an efficient block normal mode approach: myosin-II and Ca2+ -ATPase.

The structural flexibilities of two molecular machines, myosin and Ca(2+)-ATPase, have been analyzed with normal mode analysis and discussed in the context of their energy conversion functions. The normal mode analysis with physical intermolecular interactions was made possible by an improved implementation of the block normal mode (BNM) approach. The BNM results clearly illustrated that the large-scale conformational transitions implicated in the functional cycles of the two motor systems can be largely captured with a small number of low-frequency normal modes. Therefore, the results support the idea that structural flexibility is an essential part of the construction principle of molecular motors through evolution. Such a feature is expected to be more prevalent in motor proteins than in simpler systems (e.g., signal transduction proteins) because in the former, large-scale conformational transitions often have to occur before the chemical events (e.g., ATP hydrolysis in myosin and ATP binding/phosphorylation in Ca(2+)-ATPase). This highlights the importance of Brownian motions associated with the protein domains that are involved in the functional transitions; in this sense, Brownian molecular machines is an appropriate description of molecular motors, although the normal mode results do not address the origin of the ratchet effect. The results also suggest that it might be more appropriate to describe functional transitions in some molecular motors as intrinsic elastic motions modulating local structural changes in the active site, which in turn gets stabilized by the subsequent chemical events, in contrast with the conventional idea of local changes somehow getting amplified into larger-scale motions. In the case of myosin, for example, we favor the idea that Brownian motions associated with the flexible converter propagates to the Switch I/II region, where the salt-bridge formation gets stabilized by ATP hydrolysis, in contrast with the textbook notion that ATP hydrolysis drives the converter motion. Another useful aspect of the BNM results is that selected low-frequency normal modes have been identified to form a set of collective coordinates that can be used to characterize the progress of a significant fraction of large-scale conformational transitions. Therefore, the present normal mode analysis has provided a stepping-stone toward more elaborate microscopic simulations for addressing critical issues in free energy conversions in molecular machines, such as the coupling and the causal relationship between collective motions and essential local changes at the catalytic active site where ATP hydrolysis occurs.

Algorithms↗
PubMed2003

What is so special about Arg 55 in the catalysis of cyclophilin A? insights from hybrid QM/MM simulations.

Potential of mean force (PMF) simulations with a hybrid QM/MM potential function were used to analyze the catalytic mechanism of human cyclophilin A (CypA). PMF calculations were performed for proline isomerization of peptides in solution, the wild-type CypA, and several CypA mutants. With an approximate density functional theory, the self-consistent-charge density functional tight binding (SCC-DFTB) as the QM level, and CHARMM 22 force field as MM, satisfactory energetics compared to available experiments were obtained. Calculations for the Arg55Ala and zero-charge-Arg55 mutants clearly indicated that Arg 55 significantly stabilizes the isomerization transition state through electrostatic interactions. However, the decrease in the average distance (thus the increase in interaction) between Arg 55 and the substrate amide N in going from the stable states to the transition state is mainly due to the pyramidalization of the amide N rather than motions associated with Arg 55. Although the nanosecond simulations cannot exclude the existence of sub-millisecond collective motions proposed on the basis of recent elegant NMR relaxation and line-shape analyses, the energetics obtained for the various enzyme systems here indicate that the contribution from motions of active site residues to catalysis is expected to be small. Instead, the present simulations support that the structural stability rather than mobility of the preorganized active site is more important. Through hydrogen-bonding interactions among the substrate, Arg 55, Gln 63, and Asn 102, the active site of the wild-type enzyme is structurally very stable and puts Arg 55 in a favorable position to perform its catalytic role in the transition state. This is further illustrated with the somewhat unexpected prediction that Arg55Lys is largely catalytically inactive, because Lys does not have the unique bifurcating construct of the guanidino group in Arg and thus the active site of Arg55Lys cannot accommodate Lys in a position capable of providing electrostatic stabilization of the isomerization transition state. Among all the enzyme systems studied, the wild-type CypA is the only one that selects the syn/exo transition state, while the syn/endo conformation is also present in the mutants, which is another reason for their higher barriers. Finally, the present analysis indicated that the population of near-attack-conformations (NAC) is not relevant to catalysis in CypA.

Arginine↗
PubMed2003

Modeling zinc in biomolecules with the self consistent charge-density functional tight binding (SCC-DFTB) method: applications to structural and energetic analysis.

Parameters for the zinc ion have been developed in the self-consistent charge density functional tight-binding (SCC-DFTB) framework. The approach was tested against B3LYP calculations for a range of systems, including small molecules that contain the typical coordination environment of zinc in biological systems (cysteine, histidine, glutamic/aspartic acids, and water) and active site models for a number of enzymes such as alcohol dehydrogenase, carbonic anhydrase, and aminopeptidase. The SCC-DFTB approach reproduces structural and energetic properties rather reliably (e.g., total and relative ligand binding energies and deprotonation energies of ligands and barriers for zinc-assisted proton transfers), as compared with B3LYP/6-311+G** or MP2/6-311+G** calculations.

Alcohol Dehydrogenase↗
PubMed2003

Kinetic isotope effects for concerted multiple proton transfer: a direct dynamics study of an active-site model of carbonic anhydrase II.

The rate constant of the reaction catalyzed by the enzyme carbonic anhydrase II, which removes carbon dioxide from body fluids, is calculated for a model of the active site. The rate-determining step is proton transfer from a zinc-bound water molecule to a histidine residue via a bridge of two or more water molecules. The structure of the active site is known from X-ray studies except for the number and location of the water molecules. Model calculations are reported for a system of 58 atoms including a four-coordinated zinc ion connected to a methylimidazole molecule by a chain of two waters, constrained to reproduce the size of the active site. The structure and vibrational force field are calculated by an approximate density functional treatment of the proton-transfer step at the Self-Consistent-Charge Density Functional Tight Binding (SCC-DFTB) level. A single transition state is found indicating concerted triple proton transfer. Direct-dynamics calculations for proton and deuteron transfer and combinations thereof, based on the Approximate Instanton Method and on Variational Transition State Theory with Tunneling Corrections, are in fair agreement and yield rates that are considerably higher and kinetic isotope effects (KIEs) that are somewhat higher than experiment. Classical rate constants obtained from Transition State Theory are smaller than the quantum values but the corresponding KIEs are five times larger. For multiple proton transfer along water bridges classical KIEs are shown to be generally larger than quantum KIEs, which invalidates the standard method to distinguish tunneling and over-barrier transfer. In the present case, a three-way comparison of classical and quantum results with the observed data is necessary to conclude that proton transfer along the bridge proceeds by tunneling. The results suggest that the two-water bridge is present in low concentrations but makes a substantial contribution to proton transport because of its high efficiency. Bridging structures containing more water molecules may have lower energies but are expected to be less efficient. The observed exponential dependence of the KIEs on the deuterium concentration in H(2)O/D(2)O mixtures implies concerted transfer and thus rules out substantial contributions from structures that lead to stepwise transfer via solvated hydronium ions, which presumably dominate proton transfer in less efficient carbonic anhydrase isozymes.

Binding Sites↗
PubMed2002

Functional specificities of methylglyoxal synthase and triosephosphate isomerase: a combined QM/MM analysis.

Combined SCC-DFTB/CHARMM calculations were carried out to analyze the origin for the functional specificities of triosephosphate isomerase (TIM) and methylglyoxal synthase (MGS). The two enzymes bind to the same substrate, dihydroxyacetone phosphate (DHAP), and have rather similar active sites. However, they catalyze different reactions; TIM catalyzes the isomerization of DHAP to glyceraldehyde 3-phosphate (GAP), while MGS catalyzes the elimination of phosphate from DHAP. Similar to previous suggestions, the calculations confirmed that GAP formation is prohibited in MGS due primarily to the reduced flexibility of the catalytic base (Asp 71) compared to that in TIM (Glu 165). For the suppression of phosphate elimination in TIM, the calculations show that the widely accepted stereoelectronic argument that invokes the different phosphoryl torsion angles observed in the X-ray structures of inhibitor complexes of the two enzymes is not as important as electrostatic contributions from the protein and water molecules surrounding the phosphoryl.

Binding Sites↗
PubMed2002

Quantum mechanics/molecular mechanics studies of triosephosphate isomerase-catalyzed reactions: effect of geometry and tunneling on proton-transfer rate constants.

The role of tunneling for two proton-transfer steps in the reactions catalyzed by triosephosphate isomerase (TIM) has been studied. One step is the rate-limiting proton transfer from Calpha in the substrate to Glu 165, and the other is an intrasubstrate proton transfer proposed for the isomerization of the enediolate intermediate. The latter, which is not important in the wild-type enzyme but is a useful model system because of its simplicity, has also been examined in the gas phase and in solution. Variational transition-state theory with semiclassical ground-state tunneling was used for the calculation with potential energy surface determined by an AM1 method specifically parametrized for the TIM system. The effect of tunneling on the reaction rate was found to be less than a factor of 10 at room temperature; the tunneling becomes more important at lower temperature, as expected. The imaginary frequency (barrier) mode and modes that have large contributions to the reaction path curvature are localized on the atoms in the active site, within 4 A of the substrate. This suggests that only a small number of atoms that are close to the substrate and their motions (e.g., donor-acceptor vibration) directly determine the magnitude of tunneling. Atoms that are farther away influence the effect of tunneling indirectly by modulating the energetics of the proton transfer. For the intramolecular proton transfer, tunneling was found to be most important in the gas phase, to be similar in the enzyme, and to be the smallest in water. The major reason for this trend is that the barrier frequency is substantially lower in solution than in the gas phase and enzyme; the broader solution barrier is caused by the strong electrostatic interaction between the highly charged solute and the polar solvent molecules. Analysis of isotope effects showed that the conventional Arrenhius parameters are more useful as experimental criteria for determining the magnitude of tunneling than the widely used Swain-Schaad exponent (SSE). For the primary SSE, although values larger than the transition-state theory limit (3.3) occur when tunneling is included, there is no clear relationship between the calculated magnitudes of tunneling and the SSE. Also, the temperature dependence of the primary SSE is rather complex; the value of SSE tends to decrease as the temperature is lowered (i.e., when tunneling becomes more significant). For the secondary SSE, the results suggest that it is more relevant for evaluating the "coupled motion" between the secondary hydrogen and the reaction coordinate than the magnitude of tunneling. Although tunneling makes a significant contribution to the rate of proton transfer, it appears not to be a major aspect of the catalysis by TIM at room temperature; i.e., the tunneling factor of 10 is "small" relative to the overall rate acceleration by 10(9). For the intramolecular proton transfer, the tunneling in the enzyme is larger by a factor of 5 than in solution.

Binding Sites↗
PubMed2002

A coarse-grained normal mode approach for macromolecules: an efficient implementation and application to Ca(2+)-ATPase.

A block normal mode (BNM) algorithm, originally proposed by Tama et al., (Proteins Struct. Func. Genet. 41:1-7, 2000) was implemented into the simulation program CHARMM. The BNM approach projects the hessian matrix into local translation/rotation basis vectors and, therefore, dramatically reduces the size of the matrix involved in diagonalization. In the current work, by constructing the atomic hessian elements required in the projection operation on the fly, the memory requirement for the BNM approach has been significantly reduced from that of standard normal mode analysis and previous implementation of BNM. As a result, low frequency modes, which are of interest in large-scale conformational changes of large proteins or protein-nucleic acid complexes, can be readily obtained. Comparison of the BNM results with standard normal mode analysis for a number of small proteins and nucleic acids indicates that many properties dominated by low frequency motions are well reproduced by BNM; these include atomic fluctuations, the displacement covariance matrix, vibrational entropies, and involvement coefficients for conformational transitions. Preliminary application to a fairly large system, Ca(2+)-ATPase (994 residues), is described as an example. The structural flexibility of the cytoplasmic domains (especially domain N), correlated motions among residues on domain interfaces and displacement patterns for the transmembrane helices observed in the BNM results are discussed in relation to the function of Ca(2+)-ATPase. The current implementation of the BNM approach has paved the way for developing efficient sampling algorithms with molecular dynamics or Monte Carlo for studying long-time scale dynamics of macromolecules.

Algorithms↗
PubMed2002

A dynamic analysis of the rotation mechanism for conformational change in F(1)-ATPase.

Molecular dynamics trajectories for the bovine mitochondrial F(1)-ATPase are used to demonstrate the motions and interactions that take place during the elementary (120 degrees rotation) step of the gamma subunit. The results show how rotation of the gamma subunit induces the observed structural changes in the catalytic beta subunits. Both steric and electrostatic interactions contribute. An "ionic track" of Arg and Lys residues on the protruding portion of the gamma subunit plays a role in guiding the motions of the beta subunits. Experimental data for mutants of the DELSEED motif and the hinge region are interpreted on the basis of the molecular dynamics results. The trajectory provides a unified dynamic description of the coupled subunit motions involved in the 120 degrees rotation cycles of F(1)-ATPase.

Crystallography, X-Ray↗