Microscopic kinetics and energetics distinguish GABA(A) receptor agonists from antagonists

Although agonists and competitive antagonists presumably occupy overlapping binding sites on ligand-gated channels, these interactions cannot be identical because agonists cause channel opening whereas antagonists do not. One explanation is that only agonist binding performs enough work on the receptor to cause the conformational changes that lead to gating. This idea is supported by agonist binding rates at GABA(A) and nicotinic acetylcholine receptors that are slower than expected for a diffusion-limited process, suggesting that agonist binding involves an energy-requiring event. This hypothesis predicts that competitive antagonist binding should require less activation energy than agonist binding. To test this idea, we developed a novel deconvolution-based method to compare binding and unbinding kinetics of GABA(A) receptor agonists and antagonists in outside-out patches from rat hippocampal neurons. Agonist and antagonist unbinding rates were steeply correlated with affinity. Unlike the agonists, three of the four antagonists tested had binding rates that were fast, independent of affinity, and could be accounted for by diffusion- and dehydration-limited processes. In contrast, agonist binding involved additional energy-requiring steps, consistent with the idea that channel gating is initiated by agonist-triggered movements within the ligand binding site. Antagonist binding does not appear to produce such movements, and may in fact prevent them.     

Forces and energetics of hapten-antibody dissociation: a biased molecular dynamics simulation study

The unbinding of fluorescein from the single-chain Fv fragment of the 4D5Flu antibody is investigated by biased molecular dynamics with an implicit solvation model. To obtain statistically meaningful results, a large number of unbinding trajectories are calculated; they involve a total simulation time of more than 200 ns. Simulations are carried out with a time-dependent perturbation and in the presence of a constant force. The two techniques, which provide complementary information, induce unbinding by favoring an increase in the distance between the ligand and the antibody. This distance is an appropriate progress variable for the dissociation reaction and permits direct comparison of the unbinding forces in the simulations with data from atomic force microscopy (AFM). The time-dependent perturbation generates unfolding pathways that are close to equilibrium and can be used to reconstruct the mean force; i.e. the derivative of the potential of mean force, along the reaction coordinate. This is supported by an analysis of the overall unbinding profile and the magnitude of the mean force, which are similar to those of the unbinding force (i.e. the external force due to the time-dependent perturbation) averaged over several unbinding events.The multiple simulations show that unbinding proceeds along a rather well-defined pathway for a broad range of effective pulling speeds. Initially, there is a distortion of the protein localized in the C-terminal region followed by the fluorescein exit from the binding site. This occurs in steps that involve breaking of specific electrostatic and van der Waals interactions. It appears that the simulations do not explore the same barriers as those measured in the AFM experiments because of the much higher unfolding speed in the former. The dependence of the force on the logarithm of the loading rate is linear and the slope is higher than in the AFM, in agreement with experiment in other systems, where different slopes were observed for different regimes. Based on the unbinding events, mutations in the 4D5Flu antigen binding site are predicted to result in significant changes in the unbinding force.     

Conformational selection and induced changes along the catalytic cycle of Escherichia coli dihydrofolate reductase

Protein function often involves changes between different conformations. Central questions are how these conformational changes are coupled to the binding or catalytic processes during which they occur, and how they affect the catalytic rates of enzymes. An important model system is the enzyme dihydrofolate reductase (DHFR) from Escherichia coli, which exhibits characteristic conformational changes of the active‐site loop during the catalytic step and during unbinding of the product. In this article, we present a general kinetic framework that can be used (1) to identify the ordering of events in the coupling of conformational changes, binding, and catalysis and (2) to determine the rates of the substeps of coupled processes from a combined analysis of nuclear magnetic resonance R₂ relaxation dispersion experiments and traditional enzyme kinetics measurements. We apply this framework to E. coli DHFR and find that the conformational change during product unbinding follows a conformational‐selection mechanism, that is, the conformational change occurs predominantly prior to unbinding. The conformational change during the catalytic step, in contrast, is an induced change, that is, the change occurs after the chemical reaction. We propose that the reason for these conformational changes, which are absent in human and other vertebrate DHFRs, is robustness of the catalytic rate against large pH variations and changes to substrate/product concentrations in E. coli. Proteins 2012;. © 2012 Wiley Periodicals, Inc.     

Conformational selection in protein binding and function

Protein binding and function often involves conformational changes. Advanced nuclear magnetic resonance (NMR) experiments indicate that these conformational changes can occur in the absence of ligand molecules (or with bound ligands), and that the ligands may “select” protein conformations for binding (or unbinding). In this review, we argue that this conformational selection requires transition times for ligand binding and unbinding that are small compared to the dwell times of proteins in different conformations, which is plausible for small ligand molecules. Such a separation of timescales leads to a decoupling and temporal ordering of binding/unbinding events and conformational changes. We propose that conformational‐selection and induced‐change processes (such as induced fit) are two sides of the same coin, because the temporal ordering is reversed in binding and unbinding direction. Conformational‐selection processes can be characterized by a conformational excitation that occurs prior to a binding or unbinding event, while induced‐change processes exhibit a characteristic conformational relaxation that occurs after a binding or unbinding event. We discuss how the ordering of events can be determined from relaxation rates and effective on‐ and off‐rates determined in mixing experiments, and from the conformational exchange rates measured in advanced NMR or single‐molecule fluorescence resonance energy transfer experiments. For larger ligand molecules such as peptides, conformational changes and binding events can be intricately coupled and exhibit aspects of conformational‐selection and induced‐change processes in both binding and unbinding direction.     

How maltose influences structural changes to bind to maltose‐binding protein: Results from umbrella sampling simulation

A well‐studied periplasmic‐binding protein involved in the abstraction of maltose is maltose‐binding protein (MBP), which undergoes a ligand‐induced conformational transition from an open (ligand‐free) to a closed (ligand‐bound) state. Umbrella sampling simulations have been us to estimate the free energy of binding of maltose to MBP and to trace the potential of mean force of the unbinding event using the center‐of‐mass distance between the protein and ligand as the reaction coordinate. The free energy thus obtained compares nicely with the experimentally measured value justifying our theoretical basis. Measurement of the domain angle (N‐terminal‐domain – hinge – C‐terminal‐domain) along the unbinding pathway established the existence of three different states. Starting from a closed state, the protein shifts to an open conformation during the initial unbinding event of the ligand then resides in a semi‐open conformation and later resides predominantly in an open‐state. These transitions along the ligand unbinding pathway have been captured in greater depth using principal component analysis. It is proposed that in mixed‐model, both conformational selection and an induced‐fit mechanism combine to the ligand recognition process in MBP. Proteins 2013. © 2012 Wiley Periodicals, Inc.     

Molecular dynamics simulation study of the binding of purine bases to the aptamer domain of the guanine sensing riboswitch

Riboswitches are a novel class of genetic control elements that function through the direct interaction of small metabolite molecules with structured RNA elements. The ligand is bound with high specificity and affinity to its RNA target and induces conformational changes of the RNA''s secondary and tertiary structure upon binding. To elucidate the molecular basis of the remarkable ligand selectivity and affinity of one of these riboswitches, extensive all-atom molecular dynamics simulations in explicit solvent (≈1 μs total simulation length) of the aptamer domain of the guanine sensing riboswitch are performed. The conformational dynamics is studied when the system is bound to its cognate ligand guanine as well as bound to the non-cognate ligand adenine and in its free form. The simulations indicate that residue U51 in the aptamer domain functions as a general docking platform for purine bases, whereas the interactions between C74 and the ligand are crucial for ligand selectivity. These findings either suggest a two-step ligand recognition process, including a general purine binding step and a subsequent selection of the cognate ligand, or hint at different initial interactions of cognate and noncognate ligands with residues of the ligand binding pocket. To explore possible pathways of complex dissociation, various nonequilibrium simulations are performed which account for the first steps of ligand unbinding. The results delineate the minimal set of conformational changes needed for ligand release, suggest two possible pathways for the dissociation reaction, and underline the importance of long-range tertiary contacts for locking the ligand in the complex.     

Water movement during ligand unbinding from receptor site

An 1-ns unbinding trajectory of retinol from the bovine serum retinol-binding protein has been obtained from molecular dynamics simulations. The behavior of water during ligand unbinding has never been studied in detail. I described a new method for defining a binding site, located the water molecules involved in the binding site, and examined their movements during unbinding. I found that there were only small changes in the binding site. During unbinding, the number of water molecules inside the binding site decreased, with some water molecules exhibiting movements similar in magnitude to bulk water, and there were rearrangements of the hydrogen bonds. This work represents the first detailed study of the behavior of water during an unbinding process.     

Allosteric activation via kinetic control: potassium accelerates a conformational change in IMP dehydrogenase

Allosteric activators are generally believed to shift the equilibrium distribution of enzyme conformations to favor a catalytically productive structure; the kinetics of conformational exchange is seldom addressed. Several observations suggested that the usual allosteric mechanism might not apply to the activation of IMP dehydrogenase (IMPDH) by monovalent cations. Therefore, we investigated the mechanism of K(+) activation in IMPDH by delineating the kinetic mechanism in the absence of monovalent cations. Surprisingly, the K(+) dependence of k(cat) derives from the rate of flap closure, which increases by ≥65-fold in the presence of K(+). We performed both alchemical free energy simulations and potential of mean force calculations using the orthogonal space random walk strategy to computationally analyze how K(+) accelerates this conformational change. The simulations recapitulate the preference of IMPDH for K(+), validating the computational models. When K(+) is replaced with a dummy ion, the residues of the K(+) binding site relax into ordered secondary structure, creating a barrier to conformational exchange. K(+) mobilizes these residues by providing alternate interactions for the main chain carbonyls. Potential of mean force calculations indicate that K(+) changes the shape of the energy well, shrinking the reaction coordinate by shifting the closed conformation toward the open state. This work suggests that allosteric regulation can be under kinetic as well as thermodynamic control.     

Escape of a Small Molecule from Inside T4 Lysozyme by Multiple Pathways

The T4 lysozyme L99A mutant is often used as a model system to study small-molecule binding to proteins, but pathways for ligand entry and exit from the buried binding site and the associated protein conformational changes have not been fully resolved. Here, molecular dynamics simulations were employed to model benzene exit from its binding cavity using the weighted ensemble (WE) approach to enhance sampling of low-probability unbinding trajectories. Independent WE simulations revealed four pathways for benzene exit, which correspond to transient tunnels spontaneously formed in previous simulations of apo T4 lysozyme. Thus, benzene unbinding occurs through multiple pathways partially created by intrinsic protein structural fluctuations. Motions of several α-helices and side chains were involved in ligand escape from metastable microstates. WE simulations also provided preliminary estimates of rate constants for each exit pathway. These results complement previous works and provide a semiquantitative characterization of pathway heterogeneity for binding of small molecules to proteins.     

Disaccharide binding to galectin-1: free energy calculations and molecular recognition mechanism

Galectin-1, a member of the conserved family of carbohydrate-binding proteins with affinity for β-galactosides, is a key modulator of diverse cell functions such as immune response and regulation. The binding affinity and specificity of galectin-1 for eight different β-galactosyl terminal disaccharides was studied using molecular-dynamics simulations in which the ligand was pulled away from the binding site using a mechanical force. We present what we believe to be a novel procedure, based on combinations of multistep trajectories, that was used to estimate the binding free energy (ΔG) of each disaccharide. The computed binding free energy differences show excellent correlation with experimental values determined previously. The small differences in affinity among the disaccharides are the result of an exquisite balance between the strengths of the galectin-sugar H-bonds and the H-bonds the protein and the disaccharides make with the solvent. Analysis of the free energies along the reaction coordinate shows that disaccharide unbinding/binding presents no energetic barrier and, therefore, is diffusion-limited. In addition, the calculations revealed that as the ligand is undocked from the binding site, breaking of protein-disaccharide H-bonds takes place in stages with intermediate states in which the interactions are bridged by water molecules.     

Kinetics of pH-dependent interactions between PD-1 and PD-L1 immune checkpoint proteins from molecular dynamics

Immune checkpoint blockade of signaling pathways such as PD-1/PD-L1 has recently opened up a new avenue for highly efficient immunotherapeutic strategies to treat cancer. Since tumor microenvironments are characterized by lower pH (5.5-7.0), pH-dependent protein-ligand interactions can be exploited as efficient means to regulate drug affinity and specificity for a variety of malignancies. In this article, we investigate the mechanism and kinetics of pH-dependent binding and unbinding processes for the PD-1/PD-L1 checkpoint pair employing classical molecular dynamics simulations. Two representative pH levels corresponding to circumneutral physiological conditions of blood (pH 7.4) and acidic tumor microenvironment (pH 5.5) are considered. Our calculations demonstrate that pH plays a key role in protein-ligand interactions with small pH changes leading to several orders of magnitude increase in binding affinity. By identifying the binding pocket in the PD-1/PD-L1 complex, we show a pivotal role of the His68 protonation state of PD-1in the complex stabilization at low pH. The results on the reaction rate constants are in qualitative agreement with available experimental data. The obtained molecular details are important for further engineering of binding/unbinding kinetics to formulate more efficient immune checkpoint blockade strategies.     

Characterization of the gating conformational changes in the felbamate binding site in NMDA channels

The anticonvulsant effect of felbamate (FBM) is ascribable to inhibition of N-methyl-d-aspartate (NMDA) currents. Using electrophysiological studies in rat hippocampal neurons to examine the kinetics of FBM binding to and unbinding from the NMDA channel, we show that FBM modifies NMDA channel gating via a one-to-one binding stoichiometry and has quantitatively the same enhancement effect on NMDA and glycine binding to the NMDA channel. Moreover, the binding rates of FBM to the closed and the open/desensitized NMDA channels are 187.5 and 4.6 x 10(4) M(-1) s(-1), respectively. The unbinding rates of FBM from the closed and the open/desensitized NMDA channels are approximately 6.2 x 10(-2) and approximately 3.1 s(-1), respectively. From the binding and unbinding rate constants, apparent dissociation constants of approximately 300 and approximately 70 microM could be calculated for FBM binding to the closed and the open/desensitized NMDA channels, respectively. The slight (approximately fourfold) difference in FBM binding affinity to the closed and to the open/desensitized NMDA channels thus is composed of much larger differences in the binding and unbinding kinetics (approximately 250- and approximately 60-fold difference, respectively). These findings suggest that the effects of NMDA and glycine binding coalesce or are interrelated before or at the actual activation gate, and FBM binding seems to modulate NMDA channel gating at or after this coalescing point. Moreover, the entrance zone of the FBM binding site very likely undergoes a much larger conformational change along the gating process than that in the binding region(s) of the binding site. In other words, the FBM binding site becomes much more accessible to FBM with NMDA channel activation, although the spatial configurations of the binding ligand(s) for FBM themselves are not altered so much along the gating process.     

Insight into the mechanism of inactivation and pH sensitivity in potassium channels from molecular dynamics simulations

Potassium (K (+)) channels can regulate ionic conduction through their pore by a mechanism, involving the selectivity filter, known as C-type inactivation. This process is rapid in the hERG K (+) channel and is fundamental to its physiological role. Although mutations within hERG are known to remove this process, a structural basis for the inactivation mechanism has yet to be characterized. Using MD simulations based on homology modeling, we observe that the carbonyl of the filter aromatic, Phe627, forming the S 0 K (+) binding site, swiftly rotates away from the conduction axis in the wild-type channel. In contrast, in well-characterized non-inactivating mutant channels, this conformational change occurs less frequently. In the non-inactivating channels, interactions with a water molecule located behind the selectivity filter are critical to the enhanced stability of the conducting state. We observe comparable conformational changes in the acid sensitive TASK-1 channel and propose a common mechanism in these channels for regulating efflux of K (+) ions through the selectivity filter.     

p38γ activation triggers dynamical changes in allosteric docking sites

Mitogen-activated protein kinases (MAPKs) are serine-threonine kinases that participate in signal transduction pathways. p38 MAPKs have four isoforms (p38α, p38β, p38γ, and p38δ) which are involved in multiple cellular functions such as proliferation, differentiation, survival, and migration. MAPK kinases phosphorylate p38s in the dual-phosphorylation motif, Thr-Gly-Tyr, located in their activation loop, which induces a conformational change that increases ATP binding affinity and catalytic activity. Several works have proposed that MAPK dynamics is a key factor in determining their function. However, we still do not understand the dynamical changes that lead to MAPK activation. In this work we have used molecular dynamics techniques to study the dynamical changes associated with p38γ activation, the only fully active MAPK crystallized so far. We performed MD simulations of p38γ in three different states, fully active with ATP, active without ATP, and inactive. We found that the dynamical fluctuations of the docking sites, important for protein-protein interactions, are regulated allosterically by changes in the active site. Interestingly, in the phosphorylated and ATP-bound states the whole protein dynamics lead to concerted motions of whole protein domains in contrast to the inactive state. The binding/unbinding of ATP participates in the reorientation of the two domains and in the regulation of protein plasticity. Our study shows that beyond the conformational changes associated with MAPK activation their correlated dynamics are highly regulated by phosphorylation and ATP binding. This means that MAPK plasticity may have a role in their catalytic activity, specificity, and protein-protein interactions and, therefore, in the outcome of the signaling network.     

Probing the ATP-induced conformational flexibility of the PcrA helicase protein using molecular dynamics simulation

Helicases are enzymes that unwind double-stranded DNA (dsDNA) into its single-stranded components. It is important to understand the binding and unbinding of ATP from the active sites of helicases, as this knowledge can be used to elucidate the functionality of helicases during the unwinding of dsDNA. In this work, we investigated the unbinding of ATP and its effect on the active-site residues of the helicase PcrA using molecular dynamic simulations. To mimic the unbinding process of ATP from the active site of the helicase, we simulated the application of an external force that pulls ATP from the active site and computed the free-energy change during this process. We estimated an energy cost of ~85 kJ/mol for the transformation of the helicase from the ATP-bound state (1QHH) to the ATP-free state (1PJR). Unbinding led to conformational changes in the residues of the protein at the active site. Some of the residues at the ATP-binding site were significantly reoriented when the ATP was pulled. We observed a clear competition between reorientation of the residues and energy stabilization by hydrogen bonds between the ATP and active-site residues. We also checked the flexibility of the PcrA protein using a principal component analysis of domain motion. We found that the ATP-free state of the helicase is more flexible than the ATP-bound state.     

The role of local hydration and hydrogen-bonding dynamics in ion and solute release from ion-coupled secondary transporters

Recent progress in crystallographic studies of sodium-coupled secondary transporters has revealed striking similarities in the structural organization of ion and solute binding. Previous reports suggested that the Na2 sodium binding site in the neurotransmitter sodium symporter (NSS) leucine transporter (LeuT) is conserved across sodium/proton coupled secondary transporters of many distantly related families. This site is implicated in the conformational dynamics controlled by the binding and release of both translocated solute and ion(s) through a mechanism that largely remains unknown. In this study, we used extensive equilibrium molecular dynamics simulations, potential of mean force (PMF) computations, and quasi-harmonic analysis of the LeuT transporter with and without sodium ion bound at the Na2 site to delineate the role of this site in the conformational dynamics of the protein. PMF computations show that in presence of the sodium ion in Na2 the conserved T354 residue is locked into a single rotameric state in contrast to two degenerate states available in the absence of ion in Na2. Molecular dynamics (MD) simulations suggest the formation of a stable water wire from the cytoplasm to the Na2 site in the occluded state. It is plausible that local hydration plays an important role in transport cycle facilitating release of the ion from Na2. An unbinding of the ion from the Na2 site leads to a tightening of the extracellular thin gates and a destabilization of the intracellular thin gate and thus may promote an unbinding of the cotransported substrate. The study lends additional support to the hypothesis that one of the main drivers in the transport cycle of Na-coupled secondary transporters is the binding of the Na2 ion that controls dynamical equilibrium between an inward-facing to an outward-facing conformation.     

Kinetic evidence that allosteric activation of antithrombin by heparin is mediated by two sequential conformational changes

The serpin, antithrombin, requires allosteric activation by a sequence-specific pentasaccharide unit of heparin or heparan sulfate glycosaminoglycans to function as an anticoagulant regulator of blood clotting proteases. Surprisingly, X-ray structures have shown that the pentasaccharide produces similar induced-fit changes in the heparin binding site of native and latent antithrombin despite large differences in the heparin affinity and global conformation of these two forms. Here we present kinetic evidence for similar induced-fit mechanisms of pentasaccharide binding to native and latent antithrombins and kinetic simulations which together support a three-step mechanism of allosteric activation of native antithrombin involving two successive conformational changes. Equilibrium binding studies of pentasaccharide interactions with native and latent antithrombins and the salt dependence of these interactions suggest that each conformational change is associated with distinct spectroscopic changes and is driven by a progressively better fit of the pentasaccharide in the binding site. The observation that variant antithrombins that cannot undergo the second conformational change bind the pentasaccharide like latent antithrombin and are partially activated suggests that both conformational changes contribute to allosteric activation, in agreement with a recently proposed model of allosteric activation.     

Preparation and properties of asymmetric large unilamellar vesicles: interleaflet coupling in asymmetric vesicles is dependent on temperature but not curvature

Using both Brownian and molecular dynamics, we replicate many of the salient features of Kv1.2, including the current-voltage-concentration profiles and the binding affinity and binding mechanisms of charybdotoxin, a scorpion venom. We also elucidate how structural differences in the inner vestibule can give rise to significant differences in its permeation characteristics. Current-voltage-concentration profiles are constructed using Brownian dynamics simulations, based on the crystal structure 2A79. The results are compatible with experimental data, showing similar conductance, rectification, and saturation with current. Unlike KcsA, for example, the inner pore of Kv1.2 is mainly hydrophobic and neutral, and to explore the consequences of this, we investigate the effect of mutating neutral proline residues at the mouth of the inner vestibule to charged aspartate residues. We find an increased conductance, less inward rectification, and quicker saturation of the current-voltage profile. Our simulations use modifications to our Brownian dynamics program that extend the range of channels that can be usefully modeled. Using molecular dynamics, we investigate the binding of the charybdotoxin scorpion venom to the outer vestibule of the channel. A potential of mean force is derived using umbrella sampling, giving a dissociation constant within a factor of ∼2 to experimentally derived constants. The residues involved in the toxin binding are in agreement with experimental mutagenesis studies. We thus show that the experimental observations on the voltage-gated channel, including the toxin-channel interaction, can reliably be replicated by using the two widely used computational tools.