Molecular dynamics simulations of membrane proteins

Membrane proteins control the traffic across cell membranes and thereby play an essential role in cell function from transport of various solutes to immune response via molecular recognition. Because it is very difficult to determine the structures of membrane proteins experimentally, computational methods have been increasingly used to study their structure and function. Here we focus on two classes of membrane proteins—ion channels and transporters—which are responsible for the generation of action potentials in nerves, muscles, and other excitable cells. We describe how computational methods have been used to construct models for these proteins and to study the transport mechanism. The main computational tool is the molecular dynamics (MD) simulation, which can be used for everything from refinement of protein structures to free energy calculations of transport processes. We illustrate with specific examples from gramicidin and potassium channels and aspartate transporters how the function of these membrane proteins can be investigated using MD simulations.     

Molecular dynamics simulations of membrane proteins under asymmetric ionic concentrations

A computational method is developed to allow molecular dynamics simulations of biomembrane systems under realistic ionic gradients and asymmetric salt concentrations while maintaining the conventional periodic boundary conditions required to minimize finite-size effects in an all-atom explicit solvent representation. The method, which consists of introducing a nonperiodic energy step acting on the ionic species at the edge of the simulation cell, is first tested with illustrative applications to a simple membrane slab model and a phospholipid membrane bilayer. The nonperiodic energy-step method is then used to calculate the reversal potential of the bacterial porin OmpF, a large cation-specific β-barrel channel, by simulating the I-V curve under an asymmetric 10:1 KCl concentration gradient. The calculated reversal potential of 28.6 mV is found to be in excellent agreement with the values of 26–27 mV measured from lipid bilayer experiments, thereby demonstrating that the method allows realistic simulations of nonequilibrium membrane transport with quantitative accuracy. As a final example, the pore domain of Kv1.2, a highly selective voltage-activated K⁺ channel, is simulated in a lipid bilayer under conditions that recreate, for the first time, the physiological K⁺ and Na⁺ concentration gradients and the electrostatic potential difference of living cells.     

Molecular dynamics simulations of the TrkH membrane protein

TrkH is a transmembrane protein that mediates uptake of K(+) through the cell membrane. Despite the recent determination of its crystallographic structure, the nature of the permeation mechanism is still unknown, that is, whether K(+) ions move across TrkH by active transport or passive diffusion. Here, molecular dynamics simulations and the umbrella sampling technique have been employed to shed light on this question. The existence of binding site S3 and two alternative binding sites have been characterized. Analysis of the coordination number renders values that are almost constant, with a full contribution from the carbonyls of the protein only at S3. This observation contrasts with observations of K(+) channels, where the contribution of the protein to the coordination number is roughly constant in all four binding sites. An intramembrane loop is found immediately after the selectivity filter at the intracellular side of the protein, which obstructs the permeation pathway, and this is reflected in the magnitude of the energy barriers.     

Molecular dynamics simulations of aptamer-binding reveal generalized allostery in thrombin

Thrombin is an attractive target for antithrombotic therapy due to its central role in thrombosis and hemostasis as well as its role in inducing tumor growth, metastasis, and tumor invasion. The thrombin-binding DNA aptamer (TBA), is under investigation for anticoagulant drugs. Although aptamer binding experiments have been revealed various effects on thrombin’s enzymatic activities, the detailed picture of the thrombin’s allostery from TBA binding is still unclear. To investigate thrombin’s response to the aptamer-binding at the molecular level, we compare the mechanical properties and free energy landscapes of the free and aptamer-bound thrombin using microsecond-scale all-atom GPU-based molecular dynamics simulations. Our calculations on residue fluctuations and coupling illustrate the allosteric effects of aptamer-binding at the atomic level, highlighting the exosite II, 60s, γ and the sodium loops, and the alpha helix region in the light chains involved in the allosteric changes. This level of details clarifies the mechanisms of previous experimentally demonstrated phenomena, and provides a prediction of the reduced autolysis rate after aptamer-binding. The shifts in thrombin’s ensemble of conformations and free energy surfaces after aptamer-binding demonstrate that the presence of bound-aptamer restricts the conformational freedom of thrombin suggesting that conformational selection, i.e. generalized allostery, is the dominant mechanism of thrombin-aptamer binding. The profound perturbation on thrombin’s mechanical and thermodynamic properties due to the aptamer-binding, which was revealed comprehensively as a generalized allostery in this work, may be exploited in further drug discovery and development.     

Molecular dynamics simulations of membrane proteins and their interactions: from nanoscale to mesoscale

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TMA-DPH A fluorescent probe of membrane dynamics in living cells

Trimethylammonium-diphenylhexatriene (TMA-DPH), a hydrophobic fluorescent probe, has been shown in earlier studies to possess a variety of particular properties in interaction with intact living cells —specific and rapid incorporation into the plasma membrane and partition equilibrium between the membranes and the buffer. These properties offer promising applications in membrane fluidity studies and in monitoring exocytosis kinetics. Furthermore, these properties offer a method described here for quantitative monitoring of phago-cytosis kinetics, by means of simple fluorescence intensity measurements. This method is original in that it evaluates only the particles which have actually been internalized by phagocytosis, and not those adsorbed on the cell surface, and that it gives quantitative information on the amount of plasma membrane involved in the process. It has been tested on mouse bone marrow macrophages.     

Coarse-grained molecular dynamics simulations of membrane proteins and peptides

Molecular dynamics (MD) simulations provide a valuable approach to the dynamics, structure, and stability of membrane-protein systems. Coarse-grained (CG) models, in which small groups of atoms are treated as single particles, enable extended (>100 ns) timescales to be addressed. In this study, we explore how CG-MD methods that have been developed for detergents and lipids may be extended to membrane proteins. In particular, CG-MD simulations of a number of membrane peptides and proteins are used to characterize their interactions with lipid bilayers. CG-MD is used to simulate the insertion of synthetic model membrane peptides (WALPs and LS3) into a lipid (PC) bilayer. WALP peptides insert in a transmembrane orientation, whilst the LS3 peptide adopts an interfacial location, both in agreement with experimental biophysical data. This approach is extended to a transmembrane fragment of the Vpu protein from HIV-1, and to the coat protein from fd phage. Again, simulated protein/membrane interactions are in good agreement with solid state NMR data for these proteins. CG-MD has also been applied to an M3-M4 fragment from the CFTR protein. Simulations of CFTR M3-M4 in a detergent micelle reveal formation of an alpha-helical hairpin, consistent with a variety of biophysical data. In an I231D mutant, the M3-M4 hairpin is additionally stabilized via an inter-helix Q207/D231 interaction. Finally, CG-MD simulations are extended to a more complex membrane protein, the bacterial sugar transporter LacY. Comparison of a 200 ns CG-MD simulation of LacY in a DPPC bilayer with a 50 ns atomistic simulation of the same protein in a DMPC bilayer shows that the two methods yield comparable predictions of lipid-protein interactions. Taken together, these results demonstrate the utility of CG-MD simulations for studies of membrane/protein interactions.     

Molecular dynamics simulations reveal insights into key structural elements of adenosine receptors

The crystal structure of the human A(2A) adenosine receptor, a member of the G protein-coupled receptor (GPCR) family, is used as a starting point for the structural characterization of the conformational equilibrium around the inactive conformation of the human A(2) (A(2A) and A(2B)) adenosine receptors (ARs). A homology model of the closely related A(2B)AR is reported, and the two receptors were simulated in their apo form through all-atom molecular dynamics (MD) simulations. Different conditions were additionally explored in the A(2A)AR, including the protonation state of crucial histidines or the presence of the cocrystallized ligand. Our simulations reveal the role of several conserved residues in the ARs in the conformational equilibrium of the receptors. The ionic lock absent in the crystal structure of the inactive A(2A)AR is rapidly formed in the two simulated receptors, and a complex network of interacting residues is presented that further stabilizes this structural element. Notably, the observed rotameric transition of Trp6.48 (toggle switch), which is thought to initiate the activation process in GPCRs, is accompanied by a concerted rotation of the conserved residue of the A(2)ARs, His6.52. This new conformation is further stabilized in the two receptors under study by a novel interaction network involving residues in transmembrane (TM) helices TM5 (Asn5.42) and TM3 (Gln3.37), which resemble the conformational changes recently observed in the agonist-bound structure of β-adrenoreceptors. Finally, the interaction between Glu1.39 and His7.43, a pair of conserved residues in the family of ARs, is found to be weaker than previously thought, and the role of this interaction in the structure and dynamics of the receptor is thoroughly examined. All these findings suggest that, despite the commonalities with other GPCRs, the conformational equilibrium of ARs is also modulated by specific residues of the family.     

Development of a fluorescent probe for the study of nucleosome assembly and dynamics

To develop a probe for use in real-time dynamic studies of nucleosomes, core histones (from Drosophila) were conjugated to a DNA-intercalating dye, thiazole orange, by a reaction targeting Cys 110 of histone H3. In the absence of DNA, the conjugated histones are only very weakly fluorescent. However, upon reconstitution into nucleosomes by standard salt dialysis procedures, the probe fluoresces strongly, reflecting its ability to intercalate into the nucleosomal DNA. The probe is also sensitive to the nature of the DNA-histone interaction. Nucleosomes reconstituted by stepwise salt dialysis give a fluorescence signal quite different from that of the species formed when DNA and histones are simply mixed in low salt. In addition, changing either the DNA length or the type of sequence (nucleosome positioning sequences versus random DNA of the same size) used in the reconstitution alters the resulting fluorescence yield. The results are all consistent with the conclusion that a more rigid, less flexible nucleosome structure results in less fluorescence than a looser structure, presumably due to structural constraints on dye intercalation. This probe should be well suited to analyzing nucleosome dynamics and to following factor-mediated assembly and remodeling of nucleosomes in real time, particularly at the single-molecule level.     

Molecular dynamics simulations of the ErbB-2 transmembrane domain within an explicit membrane environment: comparison with vacuum simulations

Two 500-ps molecular dynamics simulations performed on the single transmembrane domain of the ErbB-2 tyrosine kinase receptor immersed in a fully solvated dilauroylphosphatidyl-ethanolamine bilayer (DLPE) are compared to vacuum simulations. One membrane simulation shows that the initial alpha helix undergoes a local pi helix conversion in the peptide part embedded in the membrane core similar to that found in simulation vacuum. Lipid/water/peptide interaction analysis shows that in the helix core, the intramolecular peptide interactions are largely dominant compared to the interactions with water and lipids whereas the helix extremities are much more sensitive to these interactions at the membrane interfaces. Our results suggest that simulations in a lipid environment are required to understand the dynamics of transmembrane helices, but can be reasonably supplemented by in vacuo simulations to explore rapidly its conformational space and to describe the internal deformation of the hydrophobic core.     

Molecular dynamics simulations of the adipocyte lipid binding protein reveal a novel entry site for the ligand

The adipocyte lipid binding protein (ALBP) binds fatty acids (FA) in a cavity that is inaccessible from the bulk. Therefore, the penetration of the FA necessitates conformational changes whose nature is still unknown. It was suggested that the lipid first enters through a "portal region" which consists of the alphaII helix and the adjacent tight turns. The initial event in the ligand binding must be the interaction of the lipid with the protein surface. To analyze this interaction, we have carried out three molecular dynamics simulations of the apo-ALBP, with a palmitate ion initially located at different positions near the protein surface. The simulation indicated that the ligand could adsorb to the protein in more than one location. Yet, in one case, the ligand managed to penetrate the protein by entering a newly formed cavity some 10 A deep. The entry site is located near the N-terminus, at the junction between the loops connecting the beta-strands. Further progression of the penetration seems to be arrested by the need for desolvation of the COOH end of the headgroup. Evolutionary analysis showed that amino acids in this entry site are well conserved. On the basis of these observations, we suggest that the ligand may enter the protein from a site other than the portal region. Furthermore, the rate-limiting step is proposed to be the desolvation of the FA polar headgroup.     

Setting up and running molecular dynamics simulations of membrane proteins

Molecular dynamics simulations have become a popular and powerful technique to study lipids and membrane proteins. We present some general questions and issues that should be considered prior to embarking on molecular dynamics simulation studies of membrane proteins and review common simulation methods. We suggest a practical approach to setting up and running simulations of membrane proteins, and introduce two new (related) methods to embed a protein in a lipid bilayer. Both methods rely on placing lipids and the protein(s) on a widely spaced grid and then 'shrinking' the grid until the bilayer with the protein has the desired density, with lipids neatly packed around the protein. When starting from a grid based on a single lipid structure, or several potentially different lipid structures (method 1), the bilayer will start well-packed but requires more equilibration. When starting from a pre-equilibrated bilayer, either pure or mixed, most of the structure of the bilayer stays intact, reducing equilibration time (method 2). The main advantages of these methods are that they minimize equilibration time and can be almost completely automated, nearly eliminating one time consuming step in MD simulations of membrane proteins.     

Molecular dynamics simulations reveal a disorder-to-order transition on phosphorylation of smooth muscle myosin

We have performed molecular dynamics simulations of the phosphorylated (at S-19) and the unphosphorylated 25-residue N-terminal phosphorylation domain of the regulatory light chain (RLC) of smooth muscle myosin to provide insight into the structural basis of regulation. This domain does not appear in any crystal structure, so these simulations were combined with site-directed spin labeling to define its structure and dynamics. Simulations were carried out in explicit water at 310 K, starting with an ideal alpha-helix. In the absence of phosphorylation, large portions of the domain (residues S-2 to K-11 and R-16 through Y-21) were metastable throughout the simulation, undergoing rapid transitions among alpha-helix, pi-helix, and turn, whereas residues K-12 to Q-15 remained highly disordered, displaying a turn motif from 1 to 22.5 ns and a random coil pattern from 22.5 to 50 ns. Phosphorylation increased alpha-helical order dramatically in residues K-11 to A-17 but caused relatively little change in the immediate vicinity of the phosphorylation site (S-19). Phosphorylation also increased the overall dynamic stability, as evidenced by smaller temporal fluctuations in the root mean-square deviation. These results on the isolated phosphorylation domain, predicting a disorder-to-order transition induced by phosphorylation, are remarkably consistent with published experimental data involving site-directed spin labeling of the intact RLC bound to the two-headed heavy meromyosin. The simulations provide new insight into structural details not revealed by experiment, allowing us to propose a refined model for the mechanism by which phosphorylation affects the N-terminal domain of the RLC of smooth muscle myosin.     

Molecular dynamics simulations reveal multiple pathways of ligand dissociation from thyroid hormone receptors

Nuclear receptor (NR) ligands occupy a pocket that lies within the core of the NR ligand-binding domain (LBD), and most NR LBDs lack obvious entry/exit routes upon the protein surface. Thus, significant NR conformational rearrangements must accompany ligand binding and release. The precise nature of these processes, however, remains poorly understood. Here, we utilize locally enhanced sampling (LES) molecular dynamics computer simulations to predict molecular motions of x-ray structures of thyroid hormone receptor (TR) LBDs and determine events that permit ligand escape. We find that the natural ligand 3,5,3'-triiodo-L-thyronine (T(3)) dissociates from the TRalpha1 LBD along three competing pathways generated through i), opening of helix (H) 12; ii), separation of H8 and H11 and the Omega-loop between H2 and H3; and iii), opening of H2 and H3, and the intervening beta-strand. Similar pathways are involved in dissociation of T(3) and the TRbeta-selective ligand GC24 from TRbeta; the TR agonist IH5 from the alpha- and beta-TR forms; and Triac from two natural human TRbeta mutants, A317T and A234T, but are detected with different frequencies in simulations performed with the different structures. Path I was previously suggested to represent a major pathway for NR ligand dissociation. We propose here that Paths II and III are also likely ligand escape routes for TRs and other NRs. We also propose that different escape paths are preferred in different situations, implying that it will be possible to design NR ligands that only associate stably with their cognate receptors in specific cellular contexts.     

The third leg: Molecular dynamics simulations of lipid binding proteins

Molecular dynamics computer simulations can provide a third leg which balances the contributions of both structural biology and binding studies performed on the lipid binding protein family. In this context, these calculations help to establish a dialogue between all three communities, by relating experimental observables with details of structure. Working towards this connection is important, since experience has shown the difficulty of inferring thermodynamic properties from a single static conformation. The challenge is exemplified by ongoing attempts to interpret the impact of mutagenesis on structure and function (i.e. binding). A detailed atomic-level understanding of this system could be achieved with the support of all three legs, paving the way towards rational design of proteins with novel specificities. This paper provides an outline of the connections possible between experiment and theory concerning lipid binding proteins.     

Molecular dynamics simulations of peptides and proteins with amplified collective motions

We present a novel method that uses the collective modes obtained with a coarse-grained model/anisotropic network model to guide the atomic-level simulations. Based on this model, local collective modes can be calculated according to a single configuration in the conformational space of the protein. In the molecular dynamics simulations, the motions along the slowest few modes are coupled to a higher temperature by the weak coupling method to amplify the collective motions. This amplified-collective-motion (ACM) method is applied to two test systems. One is an S-peptide analog. We realized the refolding of the denatured peptide in eight simulations out of 10 using the method. The other system is bacteriophage T4 lysozyme. Much more extensive domain motions between the N-terminal and C-terminal domain of T4 lysozyme are observed in the ACM simulation compared to a conventional simulation. The ACM method allows for extensive sampling in conformational space while still restricting the sampled configurations within low energy areas. The method can be applied in both explicit and implicit solvent simulations, and may be further applied to important biological problems, such as long timescale functional motions, protein folding/unfolding, and structure prediction.     

Molecular dynamics simulations of the ligand-binding domain of an N-methyl-D-aspartate receptor

The mechanism of partial agonism at N-methyl-D-aspartate receptors is an unresolved issue, especially with respect to the role of protein dynamics. We have performed multiple molecular dynamics simulations (7 x 20 ns) to examine the behavior of the ligand-binding core of the NR1 subunit with a series of ligands. Our results show that water plays an important role in stabilizing different conformations of the core and how a closed cleft conformation of the protein might be stabilized in the absence of ligands. In the case of ligand-bound simulations with both full and partial agonists, we observed that ligands within the binding cleft may undergo distinct conformational changes, without grossly influencing the degree of cleft closure within the ligand-binding domain. In agreement with recently published crystallographic data, we also observe similar changes in backbone torsions corresponding to the hinge region between the two lobes for the partial agonist, D-cycloserine. This observation rationalizes the classification of D-cycloserine as a partial agonist and should provide a basis with which to predict partial agonism in this class of receptor by analyzing the behavior of these torsions with other potential ligands.     

Molecular dynamics simulations of the bacterial periplasmic heme binding proteins ShuT and PhuT

ShuT and PhuT are two periplasmic heme binding proteins that shuttle heme between the outer and inner membranes of the Gram-negative bacteria. Periplasmic binding proteins (PBPs) generally exhibit considerable conformational changes during the ligand binding process, whereas ShuT and PhuT belong to a class of PBPs that do not show such behavior based on their apo and holo crystal structures. By employing a series of molecular dynamic simulations on the ShuT and the PhuT, the dynamics and functions of the two PBPs were investigated. Through monitoring the distance changes between the two conserved glutamates of ShuT and PhuT, it was found the two PBPs were more flexible than previously assumed, exhibiting obvious opening-closing motions which were more remarkable in the apo runs of ShuT. Based on the results of the domain motion analysis, large scale conformational transitions were found in all apo runs of ShuT and PhuT, hinting that the domain motions of the two PBPs may be intrinsic. On the basis of the results of the principle component analysis, distinct opening-closing and twisting motion tendencies were observed not only in the apo, but also in the holo simulations of the two PBPs. The Gaussian network model was applied in order to analyze the hinge bending regions. The most important bending regions of ShuT and PhuT are located around the midpoints of their respective connecting helixes. Finally, the flexibilities and the details of the simulations of ShuT and PhuT were discussed. Characterized by the remarkably large flexibilities, the loop constituted by Ala 169, Gly170 and Gly171 of ShuT and the beta-turn constituted by Ala176, Gly177 and Gly178 of PhuT may be important for the functions of the two PBPs. Furthermore, the Asn254 of ShuT and the Arg228 of PhuT may be indispensable for the binding or unbinding of heme, since it is involved in the important hydrogen bonding to the propionate side-chains of heme.