Single-molecule Atomic Force Spectroscopy Research Articles

Mechanistic Insight into the Mechanical Unfolding of the Integral Membrane Diacylglycerol Kinase.

The essential forces stabilizing membrane proteins and governing their folding and unfolding are difficult to decipher. Single-molecule atomic force spectroscopy mechanically unfolds individual membrane proteins and quantifies their dynamics and energetics. However, it remains challenging to structurally assign unfolding intermediates precisely and to deduce dominant interactions between specific residues that facilitate either the localized stabilization of these intermediates or the global assembly of membrane proteins. Here, we performed force spectroscopy experiments and multiscale molecular dynamics simulations to study the unfolding pathway of diacylglycerol kinase (DGK), a small trimeric multispan transmembrane enzyme. The remarkable agreement between experiments and simulations allowed precise structural assignment and interaction analysis of unfolding intermediates, bypassing existing limitations on structural mapping, and thus provided mechanistic explanations for the formation of these states. DGK unfolding was found to proceed with structural segments varying in size that do not correlate with its secondary structure. We identified intermolecular side-chain packing interactions as one of the major contributions to the stability of unfolding intermediates. Mutagenesis creating packing defects induced a dramatic decrease in the mechano-stability of corresponding intermediates and also in the thermo-stability of DGK trimer, in good agreement with predictions from simulations. Hence, the molecular determinants of the mechano- and thermo-stability of a membrane protein can be identified at residue resolution. The accurate structural assignment established and microscopic mechanism revealed in this work may substantially expand the scope of single-molecule studies of membrane proteins.

Nanomechanical Phenotypes in Cardiac Myosin-Binding Protein C Mutants That Cause Hypertrophic Cardiomyopathy.

Hypertrophic cardiomyopathy (HCM) is a disease of the myocardium caused by mutations in sarcomeric proteins with mechanical roles, such as the molecular motor myosin. Around half of the HCM-causing genetic variants target contraction modulator cardiac myosin-binding protein C (cMyBP-C), although the underlying pathogenic mechanisms remain unclear since many of these mutations cause no alterations in protein structure and stability. As an alternative pathomechanism, here we have examined whether pathogenic mutations perturb the nanomechanics of cMyBP-C, which would compromise its modulatory mechanical tethers across sliding actomyosin filaments. Using single-molecule atomic force spectroscopy, we have quantified mechanical folding and unfolding transitions in cMyBP-C domains targeted by HCM mutations that do not induce RNA splicing alterations or protein thermodynamic destabilization. Our results show that domains containing mutation R495W are mechanically weaker than wild-type at forces below 40 pN and that R502Q mutant domains fold faster than wild-type. None of these alterations are found in control, nonpathogenic variants, suggesting that nanomechanical phenotypes induced by pathogenic cMyBP-C mutations contribute to HCM development. We propose that mutation-induced nanomechanical alterations may be common in mechanical proteins involved in human pathologies.

Influence of Fluorination on Single-Molecule Unfolding and Rupture Pathways of a Mechanostable Protein Adhesion Complex.

We investigated the influence of fluorination on unfolding and unbinding reaction pathways of a mechanostable protein complex comprising the tandem dyad XModule-Dockerin bound to Cohesin. Using single-molecule atomic force spectroscopy, we mapped the energy landscapes governing the unfolding and unbinding reactions. We then used sense codon suppression to substitute trifluoroleucine in place of canonical leucine globally in XMod-Doc. Although TFL substitution thermally destabilized XMod-Doc, it had little effect on XMod-Doc:Coh binding affinity at equilibrium. When we mechanically dissociated global TFL-substituted XMod-Doc from Coh, we observed the emergence of a new unbinding pathway with a lower energy barrier. Counterintuitively, when fluorination was restricted to Doc, we observed mechano-stabilization of the non-fluorinated neighboring XMod domain. This suggests that intramolecular deformation is modulated by fluorination and highlights the differences between equilibrium thermostability and non-equilibrium mechanostability. Future work is poised to investigate fluorination as a means to modulate mechanical properties of synthetic proteins and hydrogels.

Mechanisms of Nanonewton Mechanostability in a Protein Complex Revealed by Molecular Dynamics Simulations and Single-Molecule Force Spectroscopy.

Can molecular dynamics simulations predict the mechanical behavior of protein complexes? Can simulations decipher the role of protein domains of unknown function in large macromolecular complexes? Here, we employ a wide-sampling computational approach to demonstrate that molecular dynamics simulations, when carefully performed and combined with single-molecule atomic force spectroscopy experiments, can predict and explain the behavior of highly mechanostable protein complexes. As a test case, we studied a previously unreported homologue from Ruminococcus flavefaciens called X-module-Dockerin (XDoc) bound to its partner Cohesin (Coh). By performing dozens of short simulation replicas near the rupture event, and analyzing dynamic network fluctuations, we were able to generate large simulation statistics and directly compare them with experiments to uncover the mechanisms involved in mechanical stabilization. Our single-molecule force spectroscopy experiments show that the XDoc-Coh homologue complex withstands forces up to 1 nN at loading rates of 105 pN/s. Our simulation results reveal that this remarkable mechanical stability is achieved by a protein architecture that directs molecular deformation along paths that run perpendicular to the pulling axis. The X-module was found to play a crucial role in shielding the adjacent protein complex from mechanical rupture. These mechanisms of protein mechanical stabilization have potential applications in biotechnology for the development of systems exhibiting shear enhanced adhesion or tunable mechanics.

Multivalent Interactions of Polyamide Based Sequence‐Controlled Glycomacromolecules with Concanavalin A

Binding of mannose presenting macromolecules to the protein receptor concanavalin A (ConA) is investigated by means of single-molecule atomic force spectroscopy (SMFS) in combination with dynamic light scattering and molecular modeling. Oligomeric (Mw ≈ 1.5-2.5 kDa) and polymeric (Mw ≈ 22-30 kDa) glycomacromolecules with controlled number and positioning of mannose units along the scaffolds accessible by combining solid phase synthesis and thiol-ene coupling are used as model systems to assess the molecular mechanisms that contribute to multivalent ConA-mannose complexes. SMFS measurements show increasing dissociation force from monovalent (≈57 pN) to pentavalent oligomers (≈75 pN) suggesting subsite binding to ConA. Polymeric glycomacromolecules with larger hydrodynamic diameters compared to the binding site spacing of ConA exhibit larger dissociation forces (≈80 pN), indicating simultaneous dissociation from multiple ConA binding sites. Nevertheless, although simultaneous dissociation of multiple ligands could be expected for such multivalent systems, predominantly single dissociation events are observed. This is rationalized by strong coiling of the macromolecules' polyamide backbone due to intramolecular hydrogen bonding hindering unfolding of the coil. Therefore, this study shows that the design of glycopolymers for multivalent receptor binding and clustering must consider 3D structure and intramolecular interactions of the scaffold.

Mechanochemical Evolution of the Giant Muscle Protein Titin as Inferred from Ancient Proteins

We use phylogenetic analysis and single-molecule atomic force spectroscopy (AFS) to investigate the nanomechanical evolution of titin, a giant protein responsible for the elasticity, integrity and signal transduction of muscle filaments. We bring back to life an eight-domain fragment of titin (I65-I72) from different extinct species ranging from 179 to 356 Mya that have been compared with their modern descendants. Using AFS techniques we have observed that the mechanical stability of titin domains and the presence of disulfide bonds are key elements in the evolution of titin. Our experiments together with structure prediction analysis and biochemical assays confirm that ancient titin domains were richer in disulfide bonds and have higher mechanical stability. While titin domains from birds and reptiles have kept similar mechanochemical features than those of the ancient ones, titin from mammals show lower mechanical stability and lower number of disulfide bonds. Our findings show a paleomechanical trend that suggests that disulfide bonds are mechanical regulators in titin that have disappeared over the course of evolution in mammals generating more flexible and extensible titin domains. We hypothesize that this substitution derived in physiological changes that allowed the muscular development and morphological diversity of modern vertebrates. A comparative analysis between animal physiological properties and titin mechanochemical properties supports our hypothesis and also allows us inferring some physiological properties of ancient species.

Interactions of Histone Acetyltransferase p300 with the Nuclear Proteins Histone and HMGB1, As Revealed by Single Molecule Atomic Force Spectroscopy.

One of the important properties of the transcriptional coactivator p300 is histone acetyltransferase (HAT) activity that enables p300 to influence chromatin action via histone modulation. p300 can exert its HAT action upon the other nuclear proteins too--one notable example being the transcription-factor-like protein HMGB1, which functions also as a cytokine, and whose accumulation in the cytoplasm, as a response to tissue damage, is triggered by its acetylation. Hitherto, no information on the structure and stability of the complexes between full-length p300 (p300FL) (300 kDa) and the histone/HMGB1 proteins are available, probably due to the presence of unstructured regions within p300FL that makes it difficult to be crystallized. Herein, we have adopted the high-resolution atomic force microscopy (AFM) approach, which allows molecularly resolved three-dimensional contour mapping of a protein molecule of any size and structure. From the off-rate and activation barrier values, obtained using single molecule dynamic force spectroscopy, the biochemical proposition of preferential binding of p300FL to histone H3, compared to the octameric histone, can be validated. Importantly, from the energy landscape of the dissociation events, a model for the p300-histone and the p300-HMGB1 dynamic complexes that HAT forms, can be proposed. The lower unbinding forces of the complexes observed in acetylating conditions, compared to those observed in non-acetylating conditions, indicate that upon acetylation, p300 tends to weakly associate, probably as an outcome of charge alterations on the histone/HMGB1 surface and/or acetylation-induced conformational changes. To our knowledge, for the first time, a single molecule level treatment of the interactions of HAT, where the full-length protein is considered, is being reported.

Protein unfolding and refolding as transitions through virtual states

Single-molecule atomic force spectroscopy probes elastic properties of titin, ubiquitin and other relevant proteins. We explain bioprotein folding dynamics under both length- and force-clamp by modeling polyprotein modules as particles in a bistable potential, weakly connected by harmonic spring linkers. Multistability of equilibrium extensions provides the characteristic sawtooth force-extension curve. We show that abrupt or stepwise unfolding and refolding under force-clamp conditions involve transitions through virtual states (which are quasi-stationary domain configurations) modified by thermal noise. These predictions agree with experimental observations.

Molecular Calipers for Highly Precise and Accurate Measurements of Single-Protein Mechanics

Single-molecule atomic force spectroscopy (AFM) has evolved into a powerful technique toward elucidating conformational changes in proteins when exposed to applied force. AFM technologies that are currently available allow for precise measurements of proteins length changes during conformational transitions. However, because of systematic errors in piezo calibration as well as errors originating from fitting experimental data using a worm-like chain model of polymer elasticity, high-precision measurements of length changes do not necessarily translate into highly accurate measurements of length changes, resulting in uncertainty in obtaining structural information about protein conformational changes. Actually achieving highly precise and accurate force spectroscopy measurements remains a challenge. Here, we report a protein caliper method that eliminates systematic errors that occur during single-protein force spectroscopy measurements, and thus achieves highly precise and accurate length change measurements in protein mechanics studies. To do this, a series of loop elongation variants of the small protein GB1, which differ by 2, 5, 10, 15, and 24 amino acid residues, were engineered. Differential measurements of amino acid residue length obtained from different AFM setups result in a precise measure of the length of a single amino acid residue, which varies within different AFM setups because of systematic error between individual AFM piezoelectric calibrations. The measured length of a single amino acid residue from a given AFM setup is then used as a caliper for the given setup to eliminate systematic error, leading to highly accurate and precise measurements of the number of amino acid residues that are involved in a conformation change of a polypeptide chain. We further developed a more precise, robust, and model-free method to determine the apparent size of single amino acid residues and conformational changes of proteins. This method improves the accuracy of single protein force spectroscopy measurements, providing an accurate means of measuring force-induced protein conformational changes.

Disulfide Bonds are Allosteric Regulator of Mechanical Stability

Disulfide bonds are known to stabilize proteins against perturbations such as temperature or denaturants. Since mechanical force is the most common protein denaturant in vivo, there is increasing interest in the role that disulfide bonds have in the mechanical unfolding of proteins. For instance, disulfide bonds reduce the contour length of stretched proteins by limiting the extensibility up to the covalently linked cysteines. However very little is known about the effect of native disulfide bonds in the strength of structural clamps that determine mechanical stability. Here, we use single molecule atomic force spectroscopy to study the mechanical effects of disulfide bonding in immunoglobulin domains (Ig) that are constitutively under force. We observe that the formation of native disulfide bonds in immunoglobulin domains triggers drastic differences in the rupture forces, although the two cognate cysteines do not link together the β-strands of the mechanical clamp motif. In the case of bacterial gram-negative pilin FimH, disulfide increases the most probable unfolding force from 297 pN to 425 pN at 400nm/s. In contrast, the disulfide in the 69th immunoglobulin domain of human titin decreases the unfolding force at a pulling rate of 1200nm/s from 271 pN to 195 pN. We observe that both in titin and in the Fim pilus, the disulfide bonds are remarkably conserved along the entire stretched molecular architecture. Hence, many Igs in elastic segment of titin and in all Fim Igs are predicted to change mechanical stability depending of their oxidation state. Our results suggest that native disulfide bonds alter allosterically the transition state and modulate the internal flexibility of the stressed protein prior the breakage of its mechanical clamp motif.

Coiled-Coil Probes Capture Mechanical Unfolding Pathways of Individual Proteins

Force-induced unfolding of a consensus ankyrin repeat protein NI6C was suggested to follow a vectorial pathway from the C to the N terminus. We further test this vectorial unfolding hypothesis by introducing, at the gene level, a 70 amino acid coiled-coil (CC) polypeptide probe at different positions along the NI10C sequence and determine the unfolding force extension data of the hybrid proteins with single-molecule atomic force spectroscopy (AFM). The basic idea assumes that the coiled-coil folds independently of the host protein and does not significantly disturb its structure, and that the occurrence and the position of the CC unfolding force peak is indicative of the progress of the unfolding process past the location of the CC probe. First, AFM measurements of the CC probe flanked by I27 domains captured a single ∼35pN unfolding peak characteristic of the unzipping of the coiled-coil. Second, the unfolding force-extension data of the NI8CCI2C hybrid indicated that the unfolding of the CC occurs early in the unfolding process, consistent with the unfolding starting at the C terminus. Third, the force-extension data of the NI4CCI6C indicate that the unfolding of the CC occurs late during the unfolding process, corroborating our vectorial unfolding hypothesis. More generally, our studies suggest that coiled-coil probes maybe very useful to examine mechanical unfolding pathways of many proteins, including large proteins that are rarely studied in bulk folding measurements.

Nanoprobing of misfolding and interactions of amyloid β 42 protein

The assembly of amyloid β (Aβ) proteins into nanostructures is currently considered a major pathway of Alzheimer’s disease development, but the molecular mechanisms of this self-assembly process remains unclear. Recently, we showed that single-molecule AFM force spectroscopy (SMFS) is capable of probing the dynamics and interaction between Aβ40 peptides, and these studies allowed us to shed new light on transiently existing Aβ40 misfolding states. In this study, we applied the same SMFS approach to characterize the misfolding of Aβ42 peptide, the most toxic Aβ alloform. The quantitative analysis of SMFS data demonstrated that Aβ interaction leads to the formation of dimers with a lifetime in the range of a second. Interaction via C-terminal segments prevailed at pH 7, but interaction within the peptide center prevailed at acidic pH levels. The difference in the misfolding properties for Aβ40 and Aβ42 peptides and the mechanisms of amyloid nanoassembly are discussed. From the Clinical EditorDespite decades of intense research, Alzheimer's disease still remains incurable. This novel study focuses on the assembly of amyloid β proteins into nanostructures, which is a key mechanism in Alzheimer's disease development. Single molecule atomic force spectroscopy is utilized to shed light on the molecular mechanisms of this self-assembly process.

Single Molecule Force Spectroscopy Reveals the Molecular Mechanical Anisotropy of the FeS4 Metal Center in Rubredoxin

Mechanical anisotropy is an important feature of materials. Depending on the direction it is pulled, a material can exhibit very different mechanical properties. Mechanical anisotropy on the microscopic scale has also been observed for individual elastomeric proteins. Depending upon the direction along which it is stretched, a protein can unfold via different mechanical unfolding pathways and exhibit vastly different mechanical stability. However, it remains to be demonstrated if the concept of mechanical anisotropy can be extended to the molecular scale for small molecular objects containing only a few chemical bonds. Here, we choose the iron-sulfur center FeS4 in the simplest iron-sulfur protein rubredoxin as a model system to demonstrate the molecular level mechanical anisotropy. We used single molecule atomic force spectroscopy to investigate the mechanical rupture of the FeS4 center along different pulling directions. The FeS4 cluster is a simple molecular object with defined three-dimensional structure, where a ferric ion and four coordinating cysteinyl ligands are arranged into a distorted tetrahedral geometry. Mutating two specific residues in rubredoxin to cysteines provides anchoring points that enable us to stretch and rupture the FeS4 center along five distinct and precisely controlled directions. Our results showed that the mechanical stability as well as the rupture mechanism and kinetics of the FeS4 center are strongly dependent upon the direction along which it is stretched, suggesting that the very small and simple FeS4 center exhibits considerable mechanical anisotropy. It is likely that structural asymmetry in the FeS4 cluster and the modulation of the local environment due to partial unfolding of rubredoxin are responsible for the observed mechanical anisotropy. Our results suggest that mechanical anisotropy is a universal feature for any asymmetrical three-dimensional structure, even down to a molecular scale, and such mechanical anisotropy can be potentially utilized to control the mechanochemical reactivity of molecular objects.

Testing synthetic amyloid-β aggregation inhibitor using single molecule atomic force spectroscopy

Alzheimer's disease is a neurodegenerative disease with no known cure and few effective treatment options. The principal neurotoxic agent is an oligomeric form of the amyloid-β peptide and one of the treatment options currently being studied is the inhibition of amyloid aggregation. In this work, we test a novel pseudopeptidic aggregation inhibitor designated as SG1. SG1 has been designed to bind at the amyloid-β self-recognition site and prevent amyloid-β from misfolding into β sheet. We used atomic force spectroscopy, a nanoscale measurement technique, to quantify the binding forces between two single amyloid peptide molecules. For the first time, we demonstrate that single molecule atomic force spectroscopy can be used to assess the effectiveness of amyloid aggregation inhibitors by measuring the experimental yield of binding and can potentially be used as a screening technique for quick testing of efficacy of inhibitor drugs for amyloid aggregation.

Cu2+ Affects Amyloid-β (1–42) Aggregation by Increasing Peptide-Peptide Binding Forces

The link between metals, Alzheimer's disease (AD) and its implicated protein, amyloid-β (Aβ), is complex and highly studied. AD is believed to occur as a result of the misfolding and aggregation of Aβ. The dyshomeostasis of metal ions and their propensity to interact with Aβ has also been implicated in AD. In this work, we use single molecule atomic force spectroscopy to measure the rupture force required to dissociate two Aβ (1–42) peptides in the presence of copper ions, Cu2+. In addition, we use atomic force microscopy to resolve the aggregation of Aβ formed. Previous research has shown that metal ions decrease the lag time associated with Aβ aggregation. We show that with the addition of copper ions the unbinding force increases notably. This suggests that the reduction of lag time associated with Aβ aggregation occurs on a single molecule level as a result of an increase in binding forces during the very initial interactions between two Aβ peptides. We attribute these results to copper ions acting as a bridge between the two peptide molecules, increasing the stability of the peptide-peptide complex.

Full Reconstruction of a Vectorial Protein Folding Pathway by Afm and Smd: Insights Into the Co-Translational Folding of the Nascent-Polypeptide-Chain

During co-translational folding, the nascent-polypeptide-chain (NPC) is extruded sequentially from the ribosome exit tunnel and under severe conformational constraints dictated by its 1D geometry. Here, we combine single-molecule atomic force spectroscopy and steered molecular dynamics simulations to examine protein folding in the presence of 1D constraints that are similar to those imposed on the NPC. The simulations exquisitely reproduced the experimental unfolding and refolding force extension relationships and led to the full reconstruction of the vectorial folding pathway of a large polypeptide, the 253-residue consensus ankyrin repeat protein, NI6C. We show that fully stretched and then relaxed NI6C starts folding by the formation of local secondary structures followed by the nucleation of three N-terminal repeats. This rate-limiting step is then followed by the vectorial and sequential folding of the remaining repeats. However, after partial unfolding, when allowed to refold, the C-terminal repeats successively regained structures without any nucleation step, by using the intact N terminal repeats as a template. These results suggest a pathway for the co-translational folding of repeat proteins and have implications for mechanotransduction.

Full Reconstruction of a Vectorial Protein Folding Pathway by Atomic Force Microscopy and Molecular Dynamics Simulations

During co-translational folding, the nascent polypeptide chain is extruded sequentially from the ribosome exit tunnel and is [corrected] under severe conformational constraints [corrected] dictated by the one-dimensional geometry of the tunnel. [corrected] How do such vectorial constraints impact the folding pathway? Here, we combine single-molecule atomic force spectroscopy and steered molecular dynamics simulations to examine protein folding in the presence of one-dimensional constraints that are similar to those imposed on the nascent polypeptide chain. The simulations exquisitely reproduced the experimental unfolding and refolding force extension relationships and led to the full reconstruction of the vectorial folding pathway of a large polypeptide, the 253-residue consensus ankyrin repeat protein, NI6C. We show that fully stretched and then relaxed NI6C starts folding by the formation of local secondary structures, followed by the nucleation of three N-terminal repeats. This rate-limiting step is then followed by the vectorial and sequential folding of the remaining repeats. However, after partial unfolding, when allowed to refold, the C-terminal repeats successively regain structures without any nucleation step by using the intact N-terminal repeats as a template. These results suggest a pathway for the co-translational folding of repeat proteins and have implications for mechanotransduction.

Role of conservative mutations in protein multi-property adaptation

Protein physicochemical properties must undergo complex changes during evolution, as a response to modifications in the organism environment, the result of the proteins taking up new roles or because of the need to cope with the evolution of molecular interacting partners. Recent work has emphasized the role of stability and stability–function trade-offs in these protein adaptation processes. In the present study, on the other hand, we report that combinations of a few conservative, high-frequency-of-fixation mutations in the thioredoxin molecule lead to largely independent changes in both stability and the diversity of catalytic mechanisms, as revealed by single-molecule atomic force spectroscopy. Furthermore, the changes found are evolutionarily significant, as they combine typically hyperthermophilic stability enhancements with modulations in function that span the ranges defined by the quite different catalytic patterns of thioredoxins from bacterial and eukaryotic origin. These results suggest that evolutionary protein adaptation may use, in some cases at least, the potential of conservative mutations to originate a multiplicity of evolutionarily allowed mutational paths leading to a variety of protein modulation patterns. In addition the results support the feasibility of using evolutionary information to achieve protein multi-feature optimization, an important biotechnological goal.

AFM Force Spectroscopy and Steered Molecular Dynamics Simulation of Protein Contactin 4

We use a single molecule atomic force spectroscopy combined with the steered molecular dynamics simulation to determine a mechanical behavior of neural cell adhesion protein contactin during its unfolding. Force curves typical for modular proteins were observed, showing at most four unfolding peaks. The analysis of force spectra performed within worm-like chain model of polymer elasticity showed the presence of three unfolding lengths. Small plateaus, most likely resulting from forced transitions within domains were observed for the first time. Steered molecular dynamics simulations help to determine atomistic picture of domain unfolding.

Pathogenic Mutations alter the Mechanical Stability of Polycystin-1 Immunoglobulin PKD Domains

Mutations in polycystin-1 can cause Autosomal Dominant Polycystic Kidney Disease (ADPKD), which is a leading cause of renal failure. The available evidence suggests that PC1 acts as a mechanosensor, receiving signals from the primary cilia, neighboring cells, and extracellular matrix. polycystin-1 is a large membrane protein that has a long N-terminal extracellular region (about 3000 aa) with a multimodular structure including sixteen Ig-like PKD domains, which are targeted by many pathogenic missense mutations. The mechanical properties of the wild-type PKD domains are known; however, nothing is known about the effects of pathogenic mutations on the biophysical properties of PKD domains. Here we investigated the mechanical properties of several pathogenic missense mutants on the first Ig-like domain (PKD-d1) by using a combination of protein engineering and single-molecule atomic force spectroscopy. We found that missense mutations alter the mechanical unfolding and refolding pathways of PKD-d1 resulting in distinct mechanical phenotypes. Using a simple 2-state energy diagram we find that point mutations can affect the free energy of mechanical unfolding/refolding and the position of the transition state. Depending on the pulling speed we find that a mutation can increase or decrease the unfolding forces. This indicates that the pathogenic mutants can affect the PKD domain's normal response to external mechanical forces and may help us understand the molecular mechanisms underlying ADPKD.This work is funded by NIH (grant R01DK073394) and by the Polycystic Kidney Foundation (grant 116a2r).