Hydrodynamic effects in fast AFM single-molecule force measurements

Atomic force microscopy (AFM) allows the critical forces that unfold single proteins and rupture individual receptor–ligand bonds to be measured. To derive the shape of the energy landscape, the dynamic strength of the system is probed at different force loading rates. This is usually achieved by varying the pulling speed between a few nm/s and a few m/s, although for a more complete investigation of the kinetic properties higher speeds are desirable. Above 10 m/s, the hydrodynamic drag force acting on the AFM cantilever reaches the same order of magnitude as the molecular forces. This has limited the maximum pulling speed in AFM single-molecule force spectroscopy experiments. Here, we present an approach for considering these hydrodynamic effects, thereby allowing a correct evaluation of AFM force measurements recorded over an extended range of pulling speeds (and thus loading rates). To support and illustrate our theoretical considerations, we experimentally evaluated the mechanical unfolding of a multi-domain protein recorded at 30 m/s pulling speed.Abbrevations AFM atomic force micrcoscopy - pN piconewton - BR bacteriorhodopsin - DFS dynamic force spectroscopy - Ig27 immunoglobulin 27 - If27-8 immunoglobulin 27 octameric construct - BFP biomembrane force probe     

Chip-based protein-protein interaction studied by atomic force microscopy

In this article, a technique for accurate direct measurement of protein‐to‐protein interactions before and after the introduction of a drug candidate is developed using atomic force microscopy (AFM). The method is applied to known immunosuppressant drug candidate Echinacea purpurea derived cynarin. T‐cell/CD28 is on‐chip immobilized and B‐cell/CD80 is immobilized on an AFM tip. The difference in unbinding force between these two proteins before and after the introduction of cynarin is measured. The method is described in detail including determination of the loading rates, maximum probability of bindings, and average unbinding forces. At an AFM loading rate of 1.44 × 10⁴ pN/s, binding events were largely reduced from 61 ± 5% to 47 ± 6% after cynarin introduction. Similarly, maximum probability of bindings reduced from 70% to 35% with a blocking effect of about 35% for a fixed contact time of 0.5 s or greater. Furthermore, average unbinding forces were reduced from 61.4 to 38.9 pN with a blocking effect of ～37% as compared with ～9% by SPR. AFM, which can provide accurate quantitative measures, is shown to be a good method for drug screening. The method could be applied to a wider variety of drug candidates with advances in bio‐chip technology and a more comprehensive AFM database of protein‐to‐protein interactions. Biotechnol. Bioeng. 2012; 109: 2460–2467. © 2012 Wiley Periodicals, Inc.     

Dynamic response of glucagon/anti-glucagon pairs to pulling velocity and pH studied by atomic force microscopy

We used atomic force microscopy (AFM) to measure the unbinding force between antigen coupled to an AFM tip and antibody coated on the substrate surface. Dynamic responses of glucagon/anti-glucagon pairs with multiple pull-off steps to pH and pulling velocity were studied by AFM. Force-distance curves of a specific glucagon-anti-glucagon interaction system with mono-, di-, and multi-unbinding events were recorded, which may be attributed to a single, sequential or multiple breaking of interacting bond(s) between glucagon and anti-glucagon. We studied the dynamic response of glucagon-anti-glucagon pairs to various pulling velocities (16.7-166.7 nm/s). It was found that the mean value of the unbinding force was shifted toward higher values with increasing pulling velocity at each pH. This indicates that the friction force between glucagon and anti-glucagon may contribute to the unbinding force. Moreover, the dynamic response of glucagon-anti-glucagon pairs to pH (4-10) with different pulling velocities was studied. Within the acid range, the bond strength between the glucagon/anti-glucagon complex showed a rapid increase from pH 4 to 7 and reached a maximum (256.4+/-48.9 pN at 166.7 nm/s) at neutrality, followed by a sharp decrease with increasing pH (pH 7-10). This could be attributed to the conformational change that occurred in glucagon when the pH value in solution was varied from the reference level at neutrality. This study demonstrated that the pH dependence of multiple antigen-antibody bond-rupture forces could be measured by a force-based AFM biosensor. Unraveling the relationship between inter-molecular force and intra-molecular conformational change in acid, neutral, and alkaline environments may provide new directions for future application of force measurements by AFM in proteomics or in the development of a clinical cantilever-based mechanical biosensor.     

Molecular dynamics study of unbinding of the avidin-biotin complex.

We report molecular dynamics simulations that induce, over periods of 40-500 ps, the unbinding of biotin from avidin by means of external harmonic forces with force constants close to those of AFM cantilevers. The applied forces are sufficiently large to reduce the overall binding energy enough to yield unbinding within the measurement time. Our study complements earlier work on biotin-streptavidin that employed a much larger harmonic force constant. The simulations reveal a variety of unbinding pathways, the role of key residues contributing to adhesion as well as the spatial range over which avidin binds biotin. In contrast to the previous studies, the calculated rupture forces exceed by far those observed. We demonstrate, in the framework of models expressed in terms of one-dimensional Langevin equations with a schematic binding potential, the associated Smoluchowski equations, and the theory of first passage times, that picosecond to nanosecond simulation of ligand unbinding requires such strong forces that the resulting protein-ligand motion proceeds far from the thermally activated regime of millisecond AFM experiments, and that simulated unbinding cannot be readily extrapolated to the experimentally observed rupture.     

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.     

Rhizobial Surface Biopolymers and their Interaction with Lectin Measured by Atomic Force Microscopy

Summary Atomic force microscopy (AFM) was used to measure the morphology and physicochemical properties of rhizobia and to probe cell-surface polymers with tips modified with soybean agglutinin (SBA). AFM measurements of the length, width, and height of Sinorhizobium fredii CCRC15769 were 1580±450, 870±70, and 270±50 nm, respectively (means±SD). Different AFM image modes revealed the morphology, adhesion, viscoelasticity, and surface roughness of rhizobia in air using the tapping operation. Force–distance relationships between SBA-terminated AFM probes and Bradyrhizobium japonicum USDA110 were recorded and the retraction curves showed an unbinding force of 106±48 pN with a loading rate of 1 nN/s in PBS containing 0.1 mM Mn²⁺ and 0.1 mM Ca²⁺ (pH 7.2). The technique of AFM provides information about the morphology and molecular interaction forces of rhizobia under physiological conditions.     

Direct immobilization of avidin protein on AFM tip functionalized by acrylic acid vapor at RF plasma

The atomic force microscopy (AFM) has been used as a force sensor to measure unbinding forces of single bound complexes in the nanonewton and piconewton range. Force spectroscopy measurements can be applied to study both intermolecular and intramolecular interactions of complex biological and synthetic macromolecules. Although the AFM has been extensively used as a nano force sensor, the commercially available cantilever is limited to silicon and silicon nitride. Those materials reduce the adhesion sensitivity with specific surface and/or molecule. Here, we functionalized the AFM tip with carboxylic groups by applying acrylic acid (AA) vapor at radio frequency plasma treatment at 100 W for 5 min. This method provides a remarkable sensitivity enhancement on the functional group interaction specificity. The functionalized tip was characterized by scanning electron microscopy. The electron beam high resolution images have not shown significant tip sharpness modification. Silicon wafers (1 0 0)-no treated and functionalized by AA plasma treatment-were characterized by Auger electron spectroscopy to elucidate the silicon surface sputtering and demonstrate functionalization. The Fourier transform-infrared spectroscopy spectrum shows a high absorbance of avidin protein over the silicon surface functionalized by AA plasma treatment.We carried out force spectroscopy assay to measure the unbinding force between the well-established pair biotin-avidin. At pulling speed of 2 μm/s, we measured the unbinding force of 106?±?23 pN, which is in good agreement with the literature, demonstrating the effectiveness of the tip functionalization by AA plasma treatment in biological studies.     

Single molecule studies of antibody-antigen interaction strength versus intra-molecular antigen stability

We investigated molecular recognition of antibodies to membrane-antigens and extraction of the antigens out of membranes at the single molecule level. Using dynamic force microscopy imaging and enzyme immunoassay, binding of anti-sendai antibodies to sendai-epitopes genetically fused into bacteriorhodopsin molecules from purple membranes were detected under physiological conditions. The antibody/antigen interaction strength of 70-170 pN at loading rates of 2-50 nN/second yielded a barrier width of x = 0.12 nm and a kinetic off-rate (corresponding to the barrier height) of k(off) = 6s(-1), respectively. Bacteriorhodopsin unfolding revealed a characteristic intra-molecular force pattern, in which wild-type and sendai-bacteriorhodopsin molecules were clearly distinguishable in their length distributions, originating from the additional 13 amino acid residues epitope in sendai purple membranes. The inter-molecular antibody/antigen unbinding force was significantly lower than the force required to mechanically extract the binding epitope-containing helix pair out of the membrane and unfold it (126 pN compared to 204 pN at the same loading rate), meeting the expectation that inter-molecular unbinding forces are weaker than intra-molecular unfolding forces responsible for stabilizing native conformations of proteins.     

Mechanical Characterization of Protein L in the Low-Force Regime by Electromagnetic Tweezers/Evanescent Nanometry

Mechanical manipulation at the single molecule level of proteins exhibiting mechanical stability poses a technical challenge that has been almost exclusively approached by atomic force microscopy (AFM) techniques. However, due to mechanical drift limitations, AFM techniques are restricted to experimental recordings that last less than a minute in the high-force regime. Here we demonstrate a novel combination of electromagnetic tweezers and evanescent nanometry that readily captures the forced unfolding trajectories of protein L at pulling forces as low as 10 ∼ 15 pN. Using this approach, we monitor unfolding and refolding cycles of the same polyprotein for a period of time longer than 30 min. From such long-lasting recordings, we obtain ensemble averages of unfolding step sizes and rates that are consistent with single-molecule AFM data obtained at higher stretching forces. The unfolding kinetics of protein L at low stretching forces confirms and extends the observations that the mechanical unfolding rate is exponentially dependent on the pulling force within a wide range of stretching forces spanning from 13 pN up to 120 pN. Our experiments demonstrate a novel approach for the mechanical manipulation of single proteins for extended periods of time in the low-force regime.     

Single-molecule pulling experiments: when the stiffness of the pulling device matters

Using Langevin modeling, we investigate the role of the experimental setup on the unbinding forces measured in single-molecule pulling experiments. We demonstrate that the stiffness of the pulling device, K_eff, may influence the unbinding forces through its effect on the barrier heights for both unbinding and rebinding processes. Under realistic conditions the effect of K_eff on the rebinding barrier is shown to play the most important role. This results in a significant increase of the mean unbinding force with the stiffness for a given loading rate. Thus, in contrast to the phenomenological Bell model, we find that the loading rate (the multiplicative value K_effV, V being the pulling velocity) is not the only control parameter that determines the mean unbinding force. If interested in intrinsic properties of a molecular system, we recommend probing the system in the parameter range corresponding to a weak spring and relatively high loading rates where rebinding is negligible.     

Successive detection of insulin‐like growth factor‐II bound to receptors on a living cell surface using an AFM

In this study, we have developed a method of mechanical force detection for ligands bound to receptors on a cell surface, both of which are involved in a signal transduction pathway. This pathway is an autocrine pathway, involving the production of insulin‐like growth factor‐II (IGF‐II) and activation of the IGF‐I receptor, involved in myoblast differentiation induced by MyoD in C3H10T1/2 mouse mesenchymal stem cells. Differentiation of C3H10T1/2 was induced with the DNA demethylation agent 5‐azacytidine (5‐aza). The etched AFM tip used in the force detection had a flat surface of which about 10 µm² was in contact with a cell surface. The forces required to rupture the interactions of IGF‐IIs on a cell and anti mouse IGF‐II polyclonal antibody immobilized on an etched AFM tip were measured within 5 days of induction of differentiation. The mean unbinding force for a single paired antibody–ligand on a cell was about 81 pN, which was measured at a force loading rate of about 440 nN/s. The percentage of unbinding forces over 100 pN increased to 32% after 2 days from the addition of 5‐aza to the medium. This method could be used in non‐invasive and successive evaluation of a living cell's behavior. Copyright © 2009 John Wiley & Sons, Ltd.     

Molecular basis of lateral force spectroscopy nano-diagnostics: computational unbinding of autism related chemokine MCP-1 from IgG antibody

Monocyte-chemoattractant protein-1 (MCP-1), also known as CCL2, is a potent chemoattractant of T cells and monocytes, involved in inflammatory and angio-proliferative brain and retinal diseases. Higher expression of MCP-1 is observed in metastatic tumors. Unusual levels of MCP-1 in the brain may be correlated with autism. Immunochemistry where atomic force microscope (AFM) tips functionalized with appropriate antibodies against MCP-1 are used could in principle support medical diagnostics. Useful signals from single molecule experiments may be generated if interaction forces are large enough. The chemokine-antibody unbinding force depends on a relative motion of the interacting fragments of the complex. In this paper the stability of the medically important MCP-1- immunoglobulin G antibody Fab fragment complex has been studied using steered molecular dynamics (SMD) computer simulations with the aim to model possible arrangements of nano-diagnostics experiments. Using SMD we confirm that molecular recognition in MCP1-IgG is based mainly on six pairs of residues: Glu39A - Arg98H, Lys56A - Asp52H, Asp65A - Arg32L, Asp68A - Arg32L, Thr32A - Glu55L, Gln61A - Tyr33H. The minimum external force required for mechanical dissociation of the complex depends on a direction of the force. The pulling of the MCP-1 antigen in the directions parallel to the antigen-antibody contact plane requires forces about 20 %–40 % lower than in the perpendicular one. Fortunately, these values are large enough that the fast lateral force spectroscopy may be used for effective nano-diagnostics purposes. We show that molecular modeling is a useful tool in planning AFM force spectroscopy experiments.

An Improved Strategy for Generating Forces in Steered Molecular Dynamics: The Mechanical Unfolding of Titin,e2lip3 and Ubiquitin

One of the applications of Molecular Dynamics (MD) simulations is to explore the energetic barriers to mechanical unfolding of proteins such as occurs in response to the mechanical pulling of single molecules in Atomic Force Microscopy (AFM) experiments. Although Steered Molecular Dynamics simulations have provided microscopic details of the unfolding process during the pulling, the simulated forces required for unfolding are typically far in excess of the measured values. To rectify this, we have developed the Pulsed Unconstrained Fluctuating Forces (PUFF) method, which induces constant-momentum motions by applying forces directly to the instantaneous velocity of selected atoms in a protein system. The driving forces are applied in pulses, which allows the system to relax between pulses, resulting in more accurate unfolding force estimations than in previous methods. In the cases of titin, ubiquitin and e2lip3, the PUFF trajectories produce force fluctuations that agree quantitatively with AFM experiments. Another useful property of PUFF is that simulations get trapped if the target momentum is too low, simplifying the discovery and analysis of unfolding intermediates.     

Force-Regulated Refolding of the Mechanosensory Domain in the Platelet Glycoprotein Ib-IX Complex

In platelets, the glycoprotein (GP) Ib-IX receptor complex senses blood shear flow and transmits the mechanical signals into platelets. Recently, we have discovered a juxtamembrane mechanosensory domain (MSD) within the GPIbα subunit of GPIb-IX. Mechanical unfolding of the MSD activates GPIb-IX signaling into platelets, leading to their activation and clearance. Using optical tweezer-based single-molecule force measurement, we herein report a systematic biomechanical characterization of the MSD in its native, full-length receptor complex and a recombinant, unglycosylated MSD in isolation. The native MSD unfolds at a resting rate of 9 × 10^?3 s^?1. Upon exposure to pulling forces, MSD unfolding accelerates exponentially over a force scale of 2.0 pN. Importantly, the unfolded MSD can refold with or without applied forces. The unstressed refolding rate of MSD is ～17 s^?1 and slows exponentially over a force scale of 3.7 pN. Our measurements confirm that the MSD is relatively unstable, with a folding free energy of 7.5 k_BT. Because MSD refolding may turn off GPIb-IX’s mechanosensory signals, our results provide a mechanism for the requirement of a continuous pulling force of >15 pN to fully activate GPIb-IX.     

Exploring the Energy Profile of Human IgG/Rat Anti-human IgG Interactions by Dynamic Force Spectroscopy

Interactions between antibody and antigen molecules play essential roles in biological recognition processes as well as medical diagnosis. Therefore, an understanding of the underlying mechanism of antibody?Cantigen interactions at the single molecular level would be beneficial. In the present study, human immunoglobulin (IgG) tethered cantilevers and rat anti-human IgG functionalized gold surfaces were fabricated by using self-assembled monolayers method. Dynamic force spectroscopy was employed to characterize the interactions between human (IgG) and rat anti-human IgG at the single-molecule level. The unbinding forces were determined to be 44.6?±?0.8, 65.8?±?3.0, 108.1?±?4.1, 131.1?±?11.2, 149.5?±?4.7, 239.5?±?3.1 and 294.7?±?7.7?pN with ramping loading rates of 514, 1,127, 3,058, 7,215, 15,286, 31,974 and 50,468?pN?s^-1, respectively. In addition, the unbinding forces were found to be increasing with the logarithm of apparent loading rates in a linear way. Fitting data group resulted in two distinct linear parts, suggesting there are two energy barriers. The corresponding distances in the bound and transition states (x _?? ) and the dissociation rates (K _off ) were calculated to be 0.129?±?0.006?nm, 3.986?±?0.162?s^?1 for the outer barrier and 0.034?±?0.001?nm, 36.754?±?0.084?s^?1 for the inner barrier. Such findings hold promise of screening novel drugs and discerning different unbinding modes of biological molecules.     

A general and efficient cantilever functionalization technique for AFM molecular recognition studies

Atomic force microscopy (AFM) is a versatile technique for the investigation of noncovalent molecular associations between ligand–substrate pairs. Surface modification of silicon nitride AFM cantilevers is most commonly achieved using organic trialkoxysilanes. However, susceptibility of the Si? O bond to hydrolysis and formation of polymeric aggregates diminishes attractiveness of this method for AFM studies. Attachment techniques that facilitate immobilization of a wide variety of organic and biological molecules via the stable Si? C bond on silicon nitride cantilevers would be of great value to the field of molecular recognition force spectroscopy. Here, we report (1) the formation of stable, highly oriented monolayers on the tip of silicon nitride cantilevers and (2) demonstrate their utility in the investigation of noncovalent protein–ligand interactions using molecular recognition force spectroscopy. The monolayers are formed through hydrosilylation of hydrogen‐terminated silicon nitride AFM probes using a protected α‐amino‐ω‐alkene. This approach facilitates the subsequent conjugation of biomolecules. The resulting biomolecules are bound to the tip by a strong Si? C bond, completely uniform with regard to both epitope density and substrate orientation, and highly suitable for force microscopy studies. We show that this attachment technique can be used to measure the unbinding profiles of tip‐immobilized lactose and surface‐immobilized galectin‐3. Overall, the proposed technique is general, operationally simple, and can be expanded to anchor a wide variety of epitopes to a silicon nitride cantilever using a stable Si? C bond. © 2012 Wiley Periodicals, Inc. Biopolymers 97: 761–765, 2012.     

Force-based analysis of multidimensional energy landscapes: application of dynamic force spectroscopy and steered molecular dynamics simulations to an antibody fragment-peptide complex

Multidimensional energy landscapes are an intrinsic property of proteins and define their dynamic behavior as well as their response to external stimuli. In order to explore the energy landscape and its implications on the dynamic function of proteins dynamic force spectroscopy and steered molecular dynamics (SMD) simulations have proved to be important tools. In this study, these techniques have been employed to analyze the influence of the direction of the probing forces on the complex of an antibody fragment with its peptide antigen. Using an atomic force microscope, experiments were performed where the attachment points of the 12 amino acid long peptide antigen were varied. These measurements yielded clearly distinguishable basal dissociation rates and potential widths, proving that the direction of the applied force determines the unbinding pathway. Complementary atomistic SMD simulations were performed, which also show that the unbinding pathways of the system are dependent on the pulling direction. However, the main barrier to be crossed was independent of the pulling direction and is represented by a backbone hydrogen bond between Gly^H-H40 of the antibody fragment and Glu^Oε-6_peptide of the peptide. For each pulling direction, the observed barriers can be correlated with the rupture of specific interactions, which stabilize the bound complex. Furthermore, although the SMD simulations were performed at loading rates exceeding the experimental rates by orders of magnitude due to computational limitations, a detailed comparison of the barriers that were overcome in the SMD simulations with the data obtained from the atomic force microscope unbinding experiments show excellent agreement.     

Maximal Force Characteristics of the Ca2+-Powered Actuator of Vorticella convallaria

The millisecond stalk contraction of the sessile ciliate Vorticella convallaria is powered by energy from Ca²⁺ binding to generate contractile forces of ～10 nN. Its contractile organelle, the spasmoneme, generates higher contractile force under increased stall resistances. By applying viscous drag force to contracting V. convallaria in a microfluidic channel, we observed that the mechanical force and work of the spasmoneme depended on the stalk length, i.e., the maximum tension (150–350 nN) and work linearly depended on the stalk length (～2.5 nN and ～30 fJ per 1 μm of the stalk). This stalk-length dependency suggests that motor units of the spasmoneme may be organized in such a way that the mechanical force and work of each unit cumulate in series along the spasmoneme.     

Warhammers for Peaceful Times

The Perkins group has recently developed a number of improved atomic force microscopy cantilevers using the focused ion beam technology. They compared the performance of these cantilevers in “real-life” biophysical single-molecule force spectroscopy measurements on protein unfolding, and the results of this comparison are reported in this issue of Biophysical Journal.     

Nano- to microscale dynamics of P-selectin detachment from leukocyte interfaces. II. Tether flow terminated by P-selectin dissociation from PSGL-1

We have used a biomembrane force probe decorated with P-selectin to form point attachments with PSGL-1 receptors on a human neutrophil (PMN) in a calcium-containing medium and then to quantify the forces experienced by the attachment during retraction of the PMN at fixed speed. From first touch to final detachment, the typical force history exhibited the following sequence of events: i), an initial linear-elastic displacement of the PMN surface, ii), an abrupt crossover to viscoplastic flow that signaled membrane separation from the interior cytoskeleton and the beginning of a membrane tether, and iii), the final detachment from the probe tip most often by one precipitous step of P-selectin:PSGL-1 dissociation. Analyzing the initial elastic response and membrane unbinding from the cytoskeleton in our companion article I, we focus in this article on the regime of tether extrusion that nearly always occurred before release of the extracellular adhesion bond at pulling speeds > or =1 microm/s. The force during tether growth appeared to approach a plateau at long times. Examined over a large range of pulling speeds up to 150 microm/s, the plateau force exhibited a significant shear thinning as indicated by a weak power-law dependence on pulling speed, f(infinity) = 60 pN(nu(pull)/microm/s)(0.25). Using this shear-thinning response to describe the viscous element in a nonlinear Maxwell-like fluid model, we show that a weak serial-elastic component with a stiffness of approximately 0.07 pN/nm provides good agreement with the time course of the tether force approach to the plateau under constant pulling speed.