A dynamic model of long-range conformational adaptations triggered by nucleotide binding in GroEL-GroES

The molecular chaperone, GroEL, essential for correct protein folding in E. coli, is composed of 14 identical subunits organized in two interacting rings, each providing a folding chamber for non‐native substrate proteins. The oligomeric assembly shows positive cooperativity within each ring and negative cooperativity between the rings. Although it is well known that ATP and long‐range allosteric interactions drive the functional cycle of GroEL, an atomic resolution view of how ligand binding modulates conformational adaptations over long distances remains a major challenge. Moreover, little is known on the relation between equilibrium dynamics at physiological temperatures and the allosteric transitions in GroEL. Here we present multiple all‐atom molecular dynamics simulations of the GroEL‐GroES assemblies at different stages of the functional cycle. Combined with an extensive analysis of the complete set of experimentally available structures, principal component analysis and conformer plots, we provide an explicit evaluation of the accessible conformational space of unliganded GroEL. Our results suggest the presence of pre‐existing conformers at the equatorial domain level, and a shift of the conformational ensemble upon ATP‐binding. At the inter‐ring interface the simulations capture a remarkable offset motion of helix D triggered by ATP‐binding to the folding active ring. The reorientation of helix D, previously only observed upon GroES association, correlates with a change of the internal dynamics in the opposite ring. This work contributes to the understanding of the molecular mechanisms in GroEL and highlights the ability of all‐atom MD simulations to model long‐range structural changes and allosteric events in large systems. Proteins 2012;. © 2012 Wiley Periodicals, Inc.     

The role of conserved waters in conformational transitions of Q61H K-ras

To investigate the stability and functional role of long-residence water molecules in the Q61H variant of the signaling protein K-ras, we analyzed all available Ras crystal structures and conformers derived from a series of independent explicit solvent molecular dynamics (MD) simulations totaling 1.76 μs. We show that the protein samples a different region of phase space in the presence and absence of several crystallographically conserved and buried water molecules. The dynamics of these waters is coupled with the local as well as the global motions of the protein, in contrast to less buried waters whose exchange with bulk is only loosely coupled with the motion of loops in their vicinity. Aided by two novel reaction coordinates involving the distance (d) between the C(α) atoms of G60 at switch 2 and G10 at the P-loop and the N-C(α)-C-O dihedral (ξ) of G60, we further show that three water molecules located in lobe1, at the interface between the lobes and at lobe2, are involved in the relative motion of residues at the two lobes of Q61H K-ras. Moreover, a d/ξ plot classifies the available Ras x-ray structures and MD-derived K-ras conformers into active GTP-, intermediate GTP-, inactive GDP-bound, and nucleotide-free conformational states. The population of these states and the transition between them is modulated by water-mediated correlated motions involving the functionally critical switch 2, P-loop and helix 3. These results suggest that water molecules act as allosteric ligands to induce a population shift among distinct switch 2 conformations that differ in effector recognition.     

LpxA: A natural nanotube

UDP‐N‐acetylglucosamine 3‐O‐acyltransferase is a protein with a left‐handed parallel β‐helix, which is a natural nanotube. They are associated with unusual high stability. To identify the reason behind the structural stability of β‐helical nanotubular structure, we have performed a total of 4 μs molecular dynamics simulations of the protein in implicit solvent at four different temperatures and monitored the unfolding pathway. The correlation in movement between different regions of the nanotubular structure has been identified from the dynamical cross‐correlation map and contribution of some specific residues towards unfolding transition has been identified by principal component analysis. Difference in stability of the three loop regions has also been characterized. Construction of the unfolding conformational energy landscape identifies the probable intermediates that can appear in the unfolding pathway of the protein. © 2010 Wiley Periodicals, Inc. Biopolymers 93: 845–853, 2010.     

Brownian and essential dynamics studies of the HIV-1 integrase catalytic domain

The three-dimensional structure of the active site region of the enzyme HIV-1 integrase is not unambiguously known. This region includes a flexible peptide loop that cannot be well resolved in crystallographic determinations. Here we present two different computational approaches with different levels of resolution and on different time-scales to understand this flexibility and to analyze the dynamics of this part of the protein. We have used molecular dynamics simulations with an atomic model to simulate the region in a realistic and reliable way for 1 ns. It is found that parts of the loop wind up after 300 ps to extend an existing helix. This indicates that the helix is longer than in the earlier crystal structures that were used as basis for this study. Very recent crystal data confirms this finding, underlining the predictive value of accurate MD simulations. Essential dynamics analysis of the MD trajectory yields an anharmonic motion of this loop. We have supplemented the MD data with a much lower resolution Brownian dynamics simulation of 600 ns length. It provides ideas about the slow-motion dynamics of the loop. It is found that the loop explores a conformational space much larger than in the MD trajectory, leading to a "gating"-like motion with respect to the active site.     

Molecular dynamics of individual alpha-helices of bacteriorhodopsin in dimyristol phosphatidylocholine. I. Structure and dynamics.

Understanding the role of the lipid bilayer in membrane protein structure and dynamics is needed for tertiary structure determination methods. However, the molecular details are not well understood. Molecular dynamics computer calculations can provide insight into these molecular details of protein:lipid interactions. This paper reports on 10 simulations of individual alpha-helices in explicit lipid bilayers. The 10 helices were selected from the bacteriorhodopsin structure as representative alpha-helical membrane folding components. The bilayer is constructed of dimyristoyl phosphatidylcholine molecules. The only major difference between simulations is the primary sequence of the alpha-helix. The results show dramatic differences in motional behavior between alpha-helices. For example, helix A has much smaller root-mean-squared deviations than does helix D. This can be understood in terms of the presence of aromatic residues at the interface for helix A that are not present in helix D. Additional motions are possible for the helices that contain proline side chains relative to other amino acids. The results thus provide insight into the types of motion and the average structures possible for helices within the bilayer setting and demonstrate the strength of molecular simulations in providing molecular details that are not directly visualized in experiments.     

Peptide binding to the PDZ3 domain by conformational selection

The PDZ domains, a large family of peptide recognition proteins, bind to the C‐terminal segment of membrane ion channels and receptors thereby mediating their localization. The peptide binding process is not known in detail and seems to differ among different PDZ domains. For the third PDZ domain of the synaptic protein PSD‐95 (PDZ3), a lock‐and‐key mechanism was postulated on the basis of the almost perfect overlap of the crystal structures in the presence and absence of its peptide ligand. Here, peptide binding to PDZ3 is investigated by explicit solvent molecular dynamics (MD) simulations (for a total of 1.3 μs) and the cut‐based free energy profile method for determining free energy barriers and basins. The free energy landscape of apo PDZ3 indicates that there are multiple basins within the native state. These basins differ by the relative orientation of the α2 helix and β2 strand, the two secondary structure elements that make up the peptide binding site. Only the structure with the smallest aperture of the binding site is populated in the MD simulations of the complex whose analysis reveals that the peptide ligand binds to PDZ3 by selecting one of three conformations. Thus, the dynamical information obtained by the atomistic simulations increment the static, that is, partial, picture of the PDZ3 binding mechanism based on the X‐ray crystallography data. Importantly, the simulation results show for the first time that conformational selection is a possible mechanism of peptide binding by PDZ domains in general. Proteins 2012. © 2012 Wiley Periodicals, Inc.     

Prediction,refinement, and persistency of transmembrane helix dimers in lipid bilayers using implicit and explicit solvent/lipid representations: Microsecond molecular dynamics simulations of ErbB1/B2 and EphA1

All‐atom simulations are carried out on ErbB1/B2 and EphA1 transmembrane helix dimers in lipid bilayers starting from their solution/DMPC bicelle NMR structures. Over the course of microsecond trajectories, the structures remain in close proximity to the initial configuration and satisfy the majority of experimental tertiary contact restraints. These results further validate CHARMM protein/lipid force fields and simulation protocols on Anton. Separately, dimer conformations are generated using replica exchange in conjunction with an implicit solvent and lipid representation. The implicit model requires further improvement, and this study investigates whether lengthy all‐atom molecular dynamics simulations can alleviate the shortcomings of the initial conditions. The simulations correct many of the deficiencies. For example, excessive helix twisting is eliminated over a period of hundreds of nanoseconds. The helix tilt, crossing angles, and dimer contacts approximate those of the NMR‐derived structure, although the detailed contact surface remains off‐set for one of two helices in both systems. Hence, even microsecond simulations are not long enough for extensive helix rotations. The alternate structures can be rationalized with reference to interaction motifs and may represent still sought after receptor states that are important in ErbB1/B2 and EphA1 signaling. Proteins 2013. © 2012 Wiley Periodicals, Inc.     

Brownian and Essential Dynamics Studies of the HIV-1 Integrase Catalytic Domain

Abstract

The three-dimensional structure of the active site region of the enzyme HIV-1 integrase is not unambiguously known. This region includes a flexible peptide loop that cannot be well resolved in crystallographic determinations. Here we present two different computional approaches with different levels of resolution and on different time-scales to understand this flexibility and to analyze the dynamics of this part of the protein. We have used molecular dynamics simulations with an atomic model to simulate the region in a realistic and reliable way for 1 ns. It is found that parts of the loop wind up after 300 ps to extend an existing helix. This indicates that the helix is longer than in the earlier crystal structures that were used as basis for this study. Very recent crystal data confirms this finding, underlining the predictive value of accurate MD simulations. Essential dynamics analysis of the MD trajectory yields an anharmonic motion of this loop. We have supplemented the MD data with a much lower resolution Brownian dynamics simulation of 600 ns length. It provides ideas about the slow-motion dynamics of the loop. It is found that the loop explores a conformational space much larger than in the MD trajectory, leading to a “gating”-like motion with respect to the active site.     

Interpretation of H-NMR Experiments on the Orientation of the Transmembrane Helix WALP23 by Computer Simulations

Orientation, dynamics, and packing of transmembrane helical peptides are important determinants of membrane protein structure, dynamics, and function. Because it is difficult to investigate these aspects by studying real membrane proteins, model transmembrane helical peptides are widely used. NMR experiments provide information on both orientation and dynamics of peptides, but they require that motional models be interpreted. Different motional models yield different interpretations of quadrupolar splittings (QS) in terms of helix orientation and dynamics. Here, we use coarse-grained (CG) molecular dynamics (MD) simulations to investigate the behavior of a well-known model transmembrane peptide, WALP23, under different hydrophobic matching/mismatching conditions. We compare experimental ²H-NMR QS (directly measured in experiments), as well as helix tilt angle and azimuthal rotation (not directly measured), with CG MD simulation results. For QS, the agreement is significantly better than previously obtained with atomistic simulations, indicating that equilibrium sampling is more important than atomistic details for reproducing experimental QS. Calculations of helix orientation confirm that the interpretation of QS depends on the motional model used. Our simulations suggest that WALP23 can form dimers, which are more stable in an antiparallel arrangement. The origin of the preference for the antiparallel orientation lies not only in electrostatic interactions but also in better surface complementarity. In most cases, a mixture of monomers and antiparallel dimers provides better agreement with NMR data compared to the monomer and the parallel dimer. CG MD simulations allow predictions of helix orientation and dynamics and interpretation of QS data without requiring any assumption about the motional model.     

Guanidinium derivatives bind preferentially and trigger long-distance conformational changes in an engineered T4 lysozyme

The binding of guanidinium ion has been shown to promote a large-scale translation of a tandemly duplicated helix in an engineered mutant of T4 lysozyme. The guanidinium ion acts as a surrogate for the guanidino group of an arginine side chain. Here we determine whether methyl- and ethylguanidinium provide better mimics. The results show that addition of the hydrophobic moieties to the ligand enhances the binding affinity concomitant with reduction in ligand solubility. Crystallographic analysis confirms that binding of the alternative ligands to the engineered site still drives the large-scale conformational change. Thermal analysis and NMR data show, in comparison to guanidinium, an increase in protein stability and in ligand affinity. This is presumably due to the successive increase in hydrophobicity in going from guanidinium to ethylguanidinium. A fluorescence-based optical method was developed to sense the ligand-triggered helix translation in solution. The results are a first step in the de novo design of a molecular switch that is not related to the normal function of the protein.     

Multiple binding modes for palmitate to barley lipid transfer protein facilitated by the presence of proline 12

Molecular dynamics simulations have been used to characterise the binding of the fatty acid ligand palmitate in the barley lipid transfer protein 1 (LTP) internal cavity. Two different palmitate binding modes (1 and 2), with similar protein–ligand interaction energies, have been identified using a variety of simulation strategies. These strategies include applying experimental protein–ligand atom–atom distance restraints during the simulation, or protonating the palmitate ligand, or using the vacuum GROMOS 54B7 force‐field parameter set for the ligand during the initial stages of the simulations. In both the binding modes identified the palmitate carboxylate head group hydrogen bonds with main chain amide groups in helix A, residues 4 to 19, of the protein. In binding mode 1 the hydrogen bonds are to Lys 11, Cys 13, and Leu 14 and in binding mode 2 to Thr 15, Tyr 16, Val 17, Ser 24 and also to the OH of Thr 15. In both cases palmitate binding exploits irregularity of the intrahelical hydrogen‐bonding pattern in helix A of barley LTP due to the presence of Pro 12. Simulations of two variants of barley LTP, namely the single mutant Pro12Val and the double mutant Pro12Val Pro70Val, show that Pro 12 is required for persistent palmitate binding in the LTP cavity. Overall, the work identifies key MD simulation approaches for characterizing the details of protein–ligand interactions in complexes where NMR data provide insufficient restraints.     

Filter flexibility and distortion in a bacterial inward rectifier K+ channel: simulation studies of KirBac1.1

The bacterial channel KirBac1.1 provides a structural homolog of mammalian inward rectifier potassium (Kir) channels. The conformational dynamics of the selectivity filter of Kir channels are of some interest in the context of possible permeation and gating mechanisms for this channel. Molecular dynamics simulations of KirBac have been performed on a 10-ns timescale, i.e., comparable to that of ion permeation. The results of five simulations (total simulation time 50 ns) based on three different initial ion configurations and two different model membranes are reported. These simulation data provide evidence for limited (<0.1 nm) filter flexibility during the concerted motion of ions and water molecules within the filter, such local changes in conformation occurring on an approximately 1-ns timescale. In the absence of K(+) ions, the KirBac selectivity filter undergoes more substantial distortions. These resemble those seen in comparable simulations of other channels (e.g., KcsA and KcsA-based homology models) and are likely to lead to functional closure of the channel. This suggests filter distortions may provide a mechanism of K-channel gating in addition to changes in the hydrophobic gate formed at the intracellular crossing point of the M2 helices. The simulation data also provide evidence for interactions of the "slide" (pre-M1) helix of KirBac with phospholipid headgroups.     

Mechanical recruitment of N- and C-crosslinks in collagen type I

Collagen type I is an extracellular matrix protein found in connective tissues such as tendon, ligament, bone, skin, and the cornea of the eyes, where it functions to provide tensile strength; it also serves as a scaffold for cells and other extracellular matrix components. A single collagen type I molecule is composed of three amino acid chains that form a triple helix for most of the molecule's length; non-triple-helical extensions called N- and C-telopeptides are located at the amino/N-terminal and carboxy/C-terminal ends of the molecule, respectively. In two of the three chains, the C-telopeptide has been reported to possess a hair-pin/hook conformation, while the three N-telopeptides display a more extended structure. These telopeptides are crucial for the formation of enzymatic covalent crosslinks that form in collagens near their N- and C-ends. Such crosslinks provide structural integrity, strength, and stiffness to collagenous tissues. However, deformation mechanisms of N- and C-crosslinks and functional roles for the N- and C-telopeptide conformations are not yet well known. By performing molecular dynamics simulations, we demonstrated that two dehydro-hydroxylysino-norleucine crosslinks, positioned at the N- and C-crosslinking sites, exhibited a two-stage response to the mechanical deformation of their parent molecules. We observed that the N-crosslink served as the first responder to mechanical deformation, followed by the C-crosslink. The results of our simulations suggest a mechanical recruitment mechanism for N- and C-crosslinks. Understanding this mechanism will be crucial for the development of larger-scale predictive models of the mechanical behavior of native collagenous tissues, engineered tissues, and collagen-based materials.     

The 4 A X-ray structure of a tubulin:stathmin-like domain complex

Phosphoproteins of the stathmin family interact with the alphabeta tubulin heterodimer (tubulin) and hence interfere with microtubule dynamics. The structure of the complex of GDP-tubulin with the stathmin-like domain of the neural protein RB3 reveals a head-to-tail assembly of two tubulins with a 91-residue RB3 alpha helix in which each copy of an internal duplicated sequence interacts with a different tubulin. As a result of the relative orientations adopted by tubulins and by their alpha and beta subunits, the tubulin:RB3 complex forms a curved structure. The RB3 helix thus most likely prevents incorporation of tubulin into microtubules by holding it in an assembly with a curvature very similar to that of the depolymerization products of microtubules.     

Comparison of simulated and experimentally determined dynamics for a variant of the Lacl DNA-binding domain, Nlac-P.

Recent advances in the experimentally determined structures and dynamics of the domains within LacI provide a rare context for evaluating dynamics calculations. A 1500-ps trajectory was simulated for a variant of the LacI DNA-binding domain, which consists of the first three helices in LacI and the hinge helix of the homologous PurR. Order parameters derived from dynamics simulations are compared to those obtained for the LacI DNA-binding domain with 15N relaxation NMR spectroscopy (Slijper et al., 1997. Biochemistry. 36:249-254). The MD simulations suggest that the unstructured loop between helices II and III does not exist in a discrete state under the conditions of no salt and neutral pH, but occupies a continuum of states between the DNA-bound and free structures. Simulations also indicate that the unstructured region between helix III and the hinge helix is very mobile, rendering motions of the hinge helix essentially independent of the rest of the protein. Finally, the alpha-helical hydrogen bonds in the hinge helix are broken after 1250 ps, perhaps as a prelude to helix unfolding.     

A comparison of four different conformations adopted by human telomeric G‐quadruplex using computer simulations

The telomeric G‐quadruplexes for their unique structural features are considered as potential anticancer drug targets. These, however, exhibit structural polymorphism as different topology types for the intra‐molecular G‐quadruplexes from human telomeric G‐rich sequences have been reported based on NMR spectroscopy and X‐ray crystallography. These techniques provide detailed atomic‐level information about the molecule but relative conformational stability of the different topologies remains unsolved. Therefore, to understand the conformational preference, we have carried out quantum chemical calculations on G‐quartets; used all‐atom molecular dynamics (MD) simulations and steered molecular dynamics (SMD) simulations to characterize the four human telomeric G‐quadruplex topologies based on its G‐tetrad core‐types, viz., parallel, anti‐parallel, mixed‐(3 + 1)‐form1 and mixed‐(3 + 1)‐form2. We have also studied a non‐telomeric sequence along with these telomeric forms giving a comparison between the two G‐rich forms. The structural properties such as base pairing, stacking geometry and backbone conformations have been analyzed. The quantum calculations indicate that presence of a sodium ion inside the G‐tetrad plane or two potassium ions on both sides of the plane give it an overall planarity which is much needed for good stacking to form a helix. MD simulations indicate that capping of the G‐tetrad core by the TTA loops keep the terminal guanine bases away from water. The SMD simulations along with equilibrium MD studies indicate that the parallel and non‐telomeric forms are comparatively less stable. We could come to the conclusion that the anti‐parallel form and also the mixed‐(3 + 1)‐form1 topology are most likely to represent the major conformation., 2016. © 2015 Wiley Periodicals, Inc. Biopolymers 105: 83–99, 2016     

The dynamics of camphor in the cytochrome P450 CYP101D2

The recent crystal structures of CYP101D2, a cytochrome P450 protein from the oligotrophic bacterium Novosphingobium aromaticivorans DSM12444 revealed that both the native (substrate‐free) and camphor‐soaked forms have open conformations. Furthermore, two other potential camphor‐binding sites were also identified from electron densities in the camphor‐soaked structure, one being located in the access channel and the other in a cavity on the surface near the F‐helix side of the F‐G loop termed the substrate recognition site. These latter sites may be key intermediate positions on the pathway for substrate access to or product egress from the active site. Here, we show via the use of unbiased atomistic molecular dynamics simulations that despite the open conformation of the native and camphor‐bound crystal structures, the underlying dynamics of CYP101D2 appear to be very similar to other CYP proteins. Simulations of the native structure demonstrated that the protein is capable of sampling many different conformational substates. At the same time, simulations with the camphor positioned at various locations within the access channel or recognition site show that movement towards the active site or towards bulk solvent can readily occur on a short timescale, thus confirming many previously reported in silico studies using steered molecular dynamics. The simulations also demonstrate how the fluctuations of an aromatic gate appear to control access to the active site. Finally, comparison of camphor‐bound simulations with the native simulations suggests that the fluctuations can be of similar level and thus are more representative of the conformational selection model rather than induced fit.     

Beyond the Binding Site: The Role of the β2 – β3 Loop and Extra-Domain Structures in PDZ Domains

A general paradigm to understand protein function is to look at properties of isolated well conserved domains, such as SH3 or PDZ domains. While common features of domain families are well understood, the role of subtle differences among members of these families is less clear. Here, molecular dynamics simulations indicate that the binding mechanism in PSD95-PDZ3 is critically regulated via interactions outside the canonical binding site, involving both the poorly conserved loop and an extra-domain helix. Using the CRIPT peptide as a prototypical ligand, our simulations suggest that a network of salt-bridges between the ligand and this loop is necessary for binding. These contacts interconvert between each other on a time scale of a few tens of nanoseconds, making them elusive to X-ray crystallography. The loop is stabilized by an extra-domain helix. The latter influences the global dynamics of the domain, considerably increasing binding affinity. We found that two key contacts between the helix and the domain, one involving the loop, provide an atomistic interpretation of the increased affinity. Our analysis indicates that both extra-domain segments and loosely conserved regions play critical roles in PDZ binding affinity and specificity.     

HDX‐MS reveals orthosteric and allosteric changes in apolipoprotein‐D structural dynamics upon binding of progesterone

Apolipoprotein‐D is a glycosylated tetrameric lipocalin that binds and transports small hydrophobic molecules such as progesterone and arachidonic acid. Like other lipocalins, apolipoprotein‐D adopts an eight‐stranded β‐barrel fold stabilized by two intramolecular disulphide bonds, with an adjacent α‐helix. Crystallography studies of recombinant apolipoprotein‐D demonstrated no major conformational changes upon progesterone binding. Amide hydrogen‐deuterium exchange mass spectrometry (HDX‐MS) reports structural changes of proteins in solution by monitoring exchange of amide hydrogens in the protein backbone with deuterium. HDX‐MS detects changes in conformation and structural dynamics in response to protein function such as ligand binding that may go undetected in X‐ray crystallography, making HDX‐MS an invaluable orthogonal technique. Here, we report an HDX‐MS protocol for apolipoprotein‐D that solved challenges of high protein rigidity and low pepsin cleavage using rigorous quenching conditions and longer deuteration times, yielding 85% sequence coverage and 50% deuterium exchange. The relative fractional deuterium exchange of ligand‐free apolipoprotein‐D revealed apolipoprotein‐D to be a highly structured protein. Progesterone binding was detected by significant reduction in deuterium exchange in eight peptides. Stabilization of apolipoprotein‐D dynamics can be interpreted as a combined orthosteric effect in the ligand binding pocket and allosteric effect at the N‐terminus and C‐terminus. Together, our experiments provide insight into apolipoprotein‐D structural dynamics and map the effects of progesterone binding that are relayed to distal parts of the protein. The observed stabilization of apolipoprotein‐D dynamics upon progesterone binding demonstrates a common behaviour in the lipocalin family and may have implications for interactions of apolipoprotein‐D with receptors or lipoprotein particles. Statement: We reveal for the first time how apolipoprotein‐D, which is protective in Alzheimer's disease, becomes more ordered when bound to a molecule of steroid hormone. These results significantly extend the understanding of apolipoprotein‐D structure from X‐ray crystallography studies by incorporating information on how protein motion changes over time. To achieve these results an improved protocol was developed, suitable for proteins similar to apolipoprotein‐D, to elucidate how proteins change flexibility when binding to small molecules.     

Molecular dynamics study of a hyperthermophilic and a mesophilic rubredoxin

In recent years, increased interest in the origin of protein thermal stability has gained attention both for its possible role in understanding the forces governing the folding of a protein and for the design of new highly stable engineered biocatalysts. To study the origin of thermostability, we have performed molecular dynamics simulations of two rubredoxins, from the mesophile Clostridium pasteurianum and from the hyperthermophile Pyrococcus furiosus. The simulations were carried out at two temperatures, 300 and 373 K, for each molecule. The length of the simulations was within the range of 6-7.2 ns. The rubredoxin from the hyperthermophilic organism was more flexible than its mesophilic counterpart at both temperatures; however, the overall flexibility of both molecules at their optimal growth temperature was the same, despite 59% sequence homology. The conformational space sampled by both molecules was larger at 300 K than at 373 K. The essential dynamics analysis showed that the principal overall motions of the two molecules are significantly different. On the contrary, each molecule showed similar directions of motion at both temperatures.