Molecular dynamics simulation and steered molecular dynamics simulation on irisin dimers

Irisin is found closely associated with promoting the browning of beige fat cells in white adipose tissue. The crystal structure reveals that irisin forms a continuous inter-subunit β-sheet dimer. Here, molecular dynamics (MD) simulation and steered molecular dynamics (SMD) simulation were performed to investigate the dissociation process and the intricate interactions between the two irisin monomers. In the process of MD, the interactions between the monomers were roughly analyzed through the average numbers of both hydrophobic contacts and H-bonds. Then, SMD was performed to investigate the accurate interaction energy between the monomers. By the analysis of dissociation energy, the van der Waals (vdW) force was identified as the major energy to maintain the dimer structure, which also verified the results of MD simulation. Meanwhile, 11 essential residues were discovered by the magnitude of rupture force during dissociation. Among them, residues Arg75, Glu79, Ile77, Ala88, and Trp90 were reported in a previous study using the method of mutagenesis and size exclusion chromatography, and several new important residues (Arg72, Leu74, Phe76, Gln78, Val80, and Asp91) were also identified. Interestingly, the new important residues that we discovered and the important residues that were reported are located in the opposite side of the β-sheet of the dimer.     

Forced dissociation of selectin-ligand complexes using steered molecular dynamics simulation

Selectin-ligand interactions are crucial to such biological processes as inflammatory cascade or tumor metastasis. How transient formation and dissociation of selectin-ligand bonds in blood flow are coupled to molecular conformation at atomic level, however, has not been well understood. In this study, steered molecular dynamics (SMD) simulations were used to elucidate the intramolecular and intermolecular conformational evolutions involved in forced dissociation of three selectin-ligand systems: the construct consisting of P-selectin lectin (Lec) and epidermal growth factor (EGF)-like domains (P-LE) interacting with synthesized sulfoglycopeptide or SGP-3, P-LE with sialyl Lewis X (sLe(X)), and E-LE with sLe(X). SMD simulations were based on newly built-up force field parameters including carbohydrate units and sulfated tyrosine(s) using an analogy approach. The simulations demonstrated that the complex dissociation was coupled to the molecular extension. While the intramolecular unraveling in P-LE-SGP-3 system mainly resulted from the destroy of the two anti-parallel beta sheets of EGF domain and the breakage of hydrogen-bond cluster at the Lec-EGF interface, the intermolecular dissociation was mainly determined by separation of fucose (FUC) from Ca2+ ion in all three systems. Conformational changes during forced dissociations depended on pulling velocities and forces, as well as on how the force was applied. This work provides an insight into better understanding of conformational changes and adhesive functionality of selectin-ligand interactions under external forces.     

Simulated refolding of stretched titin immunoglobulin domains

Steered molecular dynamics (SMD) is used to investigate forced unfolding and spontaneous refolding of immunoglobulin I27, a domain of the muscle protein titin. Previous SMD simulations revealed the events leading to stretch-induced unfolding of I27, the rupture of hydrogen bonds bridging beta-strands A and B, and those bridging beta-strands A' and G, the latter rupture occurring at an extension of approximately 15 A and preceding the complete unfolding. Simulations are now used to study the refolding of partially unfolded I27 domains. The results reveal that stretched domains with ruptured interstrand hydrogen bonds shrink along the extension direction. Two types of refolding patterns are recognized: for separated beta-strands A' and G, in most simulations five of the six hydrogen bonds between A' and G stably reformed in 2 ns, whereas for separated beta-strands A and B hydrogen bonds seldom reformed in eight 2-ns simulations. The mechanical stability of the partially refolded intermediates has been tested by re-stretching.     

Gating of MscL studied by steered molecular dynamics

Steered molecular dynamics simulations of the mechanosensitive channel of large conductance, MscL, were used to investigate how forces arising from membrane tension induce gating of the channel. A homology model of the closed form of MscL from Escherichia coli was subjected to external forces of 35-70 pN applied to residues near the membrane-water interface. The magnitude and location of these forces corresponded to those determined from the lateral pressure profile computed from a lipid bilayer simulation. A fully expanded state was obtained on the 10-ns timescale that revealed the mechanism for transducing membrane forces into channel opening. The expanded state agrees well with proposed models of MscL gating, in that it entails an irislike expansion of the pore accompanied by tilting of the transmembrane helices. The channel was most easily opened when force was applied predominantly on the cytoplasmic side of MscL. Comparison of simulations in which gating progressed to varying degrees identified residues that pose steric hindrance to channel opening.     

Investigation and optimisation of the drying of reduced glutathione by steered molecular dynamics simulation

The drying of reduced glutathione from a series of aqueous–ethanol binary solutions at 300 K (below human body temperature) and 330 K (above human body temperature) was investigated in detail by steered molecular simulation and an umbrella sampling method with the Gromacs software package and Gromos96(53a6) united atomic force field. The results show that electrostatic interactions between glutathione and solvent represent the main resistance to drying. When the aqueous solution was gradually changed to pure ethanol, the energy of electrostatic interaction between glutathione and solvent molecules increased by 445.088 kJ/mol, and the drying potential of mean force (PMF) free energy also fell by 253.040 kJ/mol. However, an increase in temperature from 300 to 330 K in the aqueous solution only results in an increase of 23.013 kJ/mol in electrostatic interaction energy and a decrease of 34.956 kJ/mol in drying PMF free energy. Furthermore, we show that hydrogen bonding is the major form of electrostatic interaction involved, and directly affects the drying of glutathione. Therefore, choosing water-miscible solvents that minimise hydrogen-bond formation with glutathione will enhance its drying rate, and this is likely to be more efficient than increasing the temperature of the process. Thus, a power-saving technology can be used to produce the high bioactivity medicines.     

Unfolding of titin domains explains the viscoelastic behavior of skeletal myofibrils

The elastic section of the giant muscle protein titin contains many immunoglobulin-like domains, which have been shown by single-molecule mechanical studies to unfold and refold upon stretch-release. Here we asked whether the mechanical properties of Ig domains and/or other titin regions could be responsible for the viscoelasticity of nonactivated skeletal-muscle sarcomeres, particularly for stress relaxation and force hysteresis. We show that isolated psoas myofibrils respond to a stretch-hold protocol with a characteristic force decay that becomes more pronounced following stretch to above 2.6-microm sarcomere length. The force decay was readily reproducible by a Monte Carlo simulation taking into account both the kinetics of Ig-domain unfolding and the worm-like-chain model of entropic elasticity used to describe titin's elastic behavior. The modeling indicated that the force decay is explainable by the unfolding of only a very small number of Ig domains per titin molecule. The simulation also predicted that a unique sequence in titin, the PEVK domain, may undergo minor structural changes during sarcomere extension. Myofibrils subjected to 1-Hz cycles of stretch-release exhibited distinct hysteresis that persisted during repetitive measurements. Quick stretch-release protocols, in which variable pauses were introduced after the release, revealed a two-exponential time course of hysteresis recovery. The rate constants of recovery compared well with the refolding rates of Ig-like or fibronectin-like domains measured by single-protein mechanical analysis. These findings suggest that in the sarcomere, titin's Ig-domain regions may act as entropic springs capable of adjusting their contour length in response to a stretch.     

Exploring stereochemical specificity of phosphotriesterase by MM-PBSA and MM-GBSA calculation and steered molecular dynamics simulation

Wild-type phosphotriesterase (PTE) prefers the S_P-enantiomers over the corresponding R_P-enantiomers by factors ranging from 10 to 90. To satisfy the binding modes of the PTE of S_P- and R_P-enantiomers, all-atom molecular dynamics simulations were carried out on two paraoxon S_P and R_P derivatives, namely, S_p-1 and R_p-1. Molecular mechanics Poisson–Boltzmann surface area and molecular mechanics generalized Born surface area (MM-PBSA and MM-GBSA) calculations indicated that His230 in S_p-1-PTE had a closer interaction with the substrate than that in R_p-1-PTE and that such interaction increased the catalytic efficiency of PTE for S_p-1. The steered molecular dynamics simulation indicated that, compared with S_p-1, R_p-1 in the unbinding (binding) may hinder some residue displacement, thus requiring more effort to escape the binding pocket of PTE. In addition, Trp131, Phe306, and Tyr309 are deemed important residues for the S_p-1 unbinding pathway via PTE, whereas Tyr309 alone is considered an important residue for the R_p-1 unbinding pathway. These results demonstrate the possibility of dramatically altering the stereoselectivity and overall reactivity of the native enzyme toward chiral substrates by modifying specific residues located within the active site of PTE.     

Force-induced unfolding of human telomeric G-quadruplex: A steered molecular dynamics simulation study

We study the unfolding of a parallel G-quadruplex from human telomeric DNA by mechanical stretching using steered molecular dynamics (MD) simulation. We find that the force curves and unfolding processes strongly depend on the pulling sites. With pulling sites located on the sugar-phosphate backbone, the force-extension curve shows a single peak and the unfolding proceeds sequentially. Pulling sites located on the terminal nucleobases lead to a force-extension curve with two peaks and the unfolding is more cooperative. Simulations of the refolding of partially unfolded quadruplexes show very different behavior for the two different pulling modalities. In particular, starting from an unfolded state prepared by nucleobase pulling leads to a long-lived intermediate state whose existence is also corroborated by the free energy profile computed with the Jarzynski equation. Based on this observation, we propose a novel folding pathway for parallel G-quadruplexes with the human telomere sequence.     

Insight into the interactive residues between two domains of human somatic Angiotensin-converting enzyme and Angiotensin II by MM-PBSA calculation and steered molecular dynamics simulation

Angiotensin-converting enzyme (ACE), a membrane-bound zinc metallopeptidase, catalyzes the formation of Angiotensin-II (AngII) and the deactivation of bradykinin in the renin–angiotensin-aldosterone and kallikrein–kinin systems. As a hydrolysis product of ACE, AngII is regarded as an inhibitor and displays stronger competitive inhibition in the C-domain than the N-domain of ACE. However, the AngII binding differences between the two domains and the mechanisms behind AngII dissociation from the C-domain are rarely explored. In this work, molecular docking, Molecular Mechanics/Poisson–Boltzmann Surface Area calculation, and steered molecular dynamics (SMD) are applied to explore the structures and interactions in the binding or unbinding of AngII with the two domains of human somatic ACE. Calculated free energy values suggest that the C-domain–AngII complex is more stable than the N-domain–AngII complex, consistent with available experimental data. SMD simulation results imply that electrostatic interaction is dominant in the dissociation of AngII from the C-domain. Moreover, Gln106, Asp121, Glu123, and Tyr213 may be the key residues in the unbinding pathway of AngII. The simulation results in our work provide insights into the interactions between the two domains of ACE and its natural peptide inhibitor AngII at a molecular level. Moreover, the results provide theoretical clues for the design of new inhibitors.     

Sugar transport across lactose permease probed by steered molecular dynamics

Escherichia coli lactose permease (LacY) transports sugar across the inner membrane of the bacterium using the proton motive force to accumulate sugar in the cytosol. We have probed lactose conduction across LacY using steered molecular dynamics, permitting us to follow molecular and energetic details of lactose interaction with the lumen of LacY during its permeation. Lactose induces a widening of the narrowest parts of the channel during permeation, the widening being largest within the periplasmic half-channel. During permeation, the water-filled lumen of LacY only partially hydrates lactose, forcing it to interact with channel lining residues. Lactose forms a multitude of direct sugar-channel hydrogen bonds, predominantly with residues of the flexible N-domain, which is known to contribute a major part of LacY's affinity for lactose. In the periplasmic half-channel lactose predominantly interacts with hydrophobic channel lining residues, whereas in the cytoplasmic half-channel key protein-substrate interactions are mediated by ionic residues. A major energy barrier against transport is found within a tight segment of the periplasmic half-channel where sugar hydration is minimal and protein-sugar interaction maximal. Upon unbinding from the binding pocket, lactose undergoes a rotation to permeate either half-channel with its long axis aligned parallel to the channel axis. The results hint at the possibility of a transport mechanism, in which lactose permeates LacY through a narrow periplasmic half-channel and a wide cytoplasmic half-channel, the opening of which is controlled by changes in protonation states of key protein side groups.     

Effect of sequence variation on the mechanical response of amyloid fibrils probed by steered molecular dynamics simulation

The mechanical failure of mature amyloid fibers produces fragments that act as seeds for the growth of new fibrils. Fragmentation may also be correlated with cytotoxicity. We have used steered atomistic molecular dynamics simulations to study the mechanical failure of fibrils formed by the amyloidogenic fragment of human amylin hIAPP20-29 subjected to force applied in a variety of directions. By introducing systematic variations to this peptide sequence in silico, we have also investigated the role of the amino-acid sequence in determining the mechanical stability of amyloid fibrils. Our calculations show that the force required to induce mechanical failure depends on the direction of the applied stress and upon the degree of structural order present in the β-sheet assemblies, which in turn depends on the peptide sequence. The results have implications for the importance of sequence-dependent mechanical properties on seeding the growth of new fibrils and the role of breakage events in cytotoxicity.     

Folding-unfolding of immunoglobulin domains in titin: a simple two-state model

The folding-unfolding reaction rate process in the giant protein titin is studied within a simple two-state model. The molecule is assumed to be stretched by an external force which modulates the potential barrier associated with the folded state. A two-state model for this process is assumed (i.e., the immunoglobulin domains are considered to be either folded or unfolded, with no intermediate states at all). Simple calculations yield a relation between the force and the pulling speed that agrees fairly well with data from experiments and Monte Carlo simulations performed recently. Moreover, in a regime involving ultrafast pulling, the results show that the detailed form of the potential barrier is irrelevant, a conclusion that agrees with the current theoretical work on molecular dynamics.     

Effects of ligand binding on the mechanical stability of protein GB1 studied by steered molecular dynamics simulation

Regulation of the mechanical properties of proteins plays an important role in many biological processes, and sheds light on the design of biomaterials comprised of protein. At present, strategies to regulate protein mechanical stability focus mainly on direct modulation of the force-bearing region of the protein. Interestingly, the mechanical stability of GB1 can be significantly enhanced by the binding of Fc fragments of human IgG antibody, where the binding site is distant from the force-bearing region of the protein. The mechanism of this long-range allosteric control of protein mechanics is still elusive. In this work, the impact of ligand binding on the mechanical stability of GB1 was investigated using steered molecular dynamics simulation, and a mechanism underlying the enhanced protein mechanical stability is proposed. We found that the external force causes deformation of both force-bearing region and ligand binding site. In other words, there is a long-range coupling between these two regions. The binding of ligand restricts the distortion of the binding site and reduces the deformation of the force-bearing region through a long-range allosteric communication, which thus improves the overall mechanical stability of the protein. The simulation results are very consistent with previous experimental observations. Our studies thus provide atomic-level insights into the mechanical unfolding process of GB1, and explain the impact of ligand binding on the mechanical properties of the protein through long-range allosteric regulation, which should facilitate effective modulation of protein mechanical properties.     

Molecular evolution of immunoglobulin and fibronectin domains in titin and related muscle proteins.

The family of regulatory and structural muscle proteins, which includes the giant kinases titin, twitchin and projectin, has sequences composed predominantly of serially linked immunoglobulin I set (Ig) and fibronectin type III (FN3) domains. This paper explores the evolutionary relationships between 16 members of this family. In titin, groups of Ig and FN3 domains are arranged in a regularly repeating pattern of seven and 11 domains. The 11-domain super-repeat has its origins in the seven-domain super-repeat and a model for the duplications which gave rise to this super-repeat is proposed. A super-repeat composed solely of immunoglobulin domains is found in the skeletal muscle isoform of titin. Twitchin and projectin, which are presumed to be orthologs, have undergone significant insertion/deletion of domains since their divergence. The common ancestry of myomesin, skelemin and M-protein is shown. The relationship between myosin binding proteins (MyBPs) C and H is confirmed, and MyBP-H is proposed to have given rise to MyBP-C by the acquisition of some titin domains.     

Protein-protein interaction investigated by steered molecular dynamics: the TCR-pMHC complex

We present a novel steered molecular dynamics scheme to induce the dissociation of large protein-protein complexes. We apply this scheme to study the interaction of a T cell receptor (TCR) with a major histocompatibility complex (MHC) presenting a peptide (p). Two TCR-pMHC complexes are considered, which only differ by the mutation of a single amino acid on the peptide; one is a strong agonist that produces T cell activation in vivo, while the other is an antagonist. We investigate the interaction mechanism from a large number of unbinding trajectories by analyzing van der Waals and electrostatic interactions and by computing energy changes in proteins and solvent. In addition, dissociation potentials of mean force are calculated with the Jarzynski identity, using an averaging method developed for our steering scheme. We analyze the convergence of the Jarzynski exponential average, which is hampered by the large amount of dissipative work involved and the complexity of the system. The resulting dissociation free energies largely underestimate experimental values, but the simulations are able to clearly differentiate between wild-type and mutated TCR-pMHC and give insights into the dissociation mechanism.     

Identifying unfolding intermediates of FN-III(10) by steered molecular dynamics

Experimental studies have indicated that FN-III modules undergo reversible unfolding as a mechanism of elasticity. The unfolding of FN-III modules, including the cell-binding FN-III(10) module, has further been suggested to be functionally relevant by exposing buried cryptic sites or modulating cell binding. While steered molecular dynamics (SMD) simulations have provided one tool to investigate this process, computational requirements so far have limited detailed analysis to the early stages of unfolding. Here, we use an extended periodic box to probe the unfolding of FN-III(10) for extensions longer than 60A. Up to three plateaus, corresponding to three metastable intermediates, were observed in the extension-time profile from SMD stretching of FN-III(10). The first and second plateaus correspond to a twisted and an aligned state prior to unraveling FN-III(10) beta-strands. The third plateau, at an extension of approximately 100A, follows unraveling of FN-III(10) A and B-strands and precedes breaking of inter-strand hydrogen bonds between F and G-strands. The simulations revealed three forced unfolding pathways of FN-III(10), one of which is preferentially selected under physiological conditions. Implications for fibronectin fibrillogenesis are discussed.     

Mechanical response and deformation mechanics of Type IV pili investigated using steered coarse-grained molecular dynamics simulation

Type IV pili are long filamentous structures on the surface of bacteria, which can be rapidly assembled or disassembled with pilin subunits by molecular motors. They can generate force during retraction and are involved in many bacterial functions. Steered molecular dynamics simulations with coarse-grained MARTINI models are carried out to investigate the mechanical behaviors of pili under tension. Our study is the first to report a Young's modulus of 0.80 ± 0.07 GPa and a spring constant of 1294.6 ± 116.5 kJ mol⁻¹ nm⁻² for pilus. Our results show the mechanical responses of pili are different from those described by the worm-like chain model and the van der Waal's interactions play a critical role in the mechanical responses. Moreover, the effects of pulling rates and virtual spring constants of pilus on Young's modulus are studied and two distinct morphological stages with the conformational changes appear during the extension of pilus are observed. This work provide insight into the mechanics and the deformation mechanism of pilus assembly.     

Effect of mutation at the interface of Trp-repressor dimeric protein: a steered molecular dynamics simulation

The strength of key interfacial contacts that stabilize protein–protein interactions have been studied by computer simulation. Experimentally, changes in the interface are evaluated by generating specific mutations at one or more points of the protein structure. Here, such an evaluation is performed by means of steered molecular dynamics and use of a dimeric model of tryptophan repressor and in-silico mutants as a test case. Analysis of four particular cases shows that, in principle, it is possible to distinguish between wild-type and mutant forms by examination of the total energy and force–extension profiles. In particular, detailed atomic level structural analysis indicates that specific mutations at the interface of the dimeric model (positions 19 and 39) alter interactions that appear in the wild-type form of tryptophan repressor, reducing the energy and force required to separate both subunits.     

Mechanically induced titin kinase activation studied by force-probe molecular dynamics simulations

The conversion of mechanical stress into a biochemical signal in a muscle cell requires a force sensor. Titin kinase, the catalytic domain of the elastic muscle protein titin, has been suggested as a candidate. Its activation requires major conformational changes resulting in the exposure of its active site. Here, force-probe molecular dynamics simulations were used to obtain insight into the tension-induced activation mechanism. We find evidence for a sequential mechanically induced opening of the catalytic site without complete domain unfolding. Our results suggest the rupture of two terminal beta-sheets as the primary unfolding steps. The low force resistance of the C-terminal relative to the N-terminal beta-sheet is attributed to their different geometry. A subsequent rearrangement of the autoinhibitory tail is seen to lead to the exposure of the active site, as is required for titin kinase activity. These results support the hypothesis of titin kinase as a force sensor.