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      Monodisperse measurement of the biotin-streptavidin interaction strength in a well-defined pulling geometry

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          Abstract

          The widely used interaction of the homotetramer streptavidin with the small molecule biotin has been intensively studied by force spectroscopy and has become a model system for receptor ligand interaction. However, streptavidin’s tetravalency results in diverse force propagation pathways through the different binding interfaces. This multiplicity gives rise to polydisperse force spectroscopy data. Here, we present an engineered monovalent streptavidin tetramer with a single cysteine in its functional subunit that allows for site-specific immobilization of the molecule, orthogonal to biotin binding. Functionality of streptavidin and its binding properties for biotin remain unaffected. We thus created a stable and reliable molecular anchor with a unique high-affinity binding site for biotinylated molecules or nanoparticles, which we expect to be useful for many single-molecule applications. To characterize the mechanical properties of the bond between biotin and our monovalent streptavidin, we performed force spectroscopy experiments using an atomic force microscope. We were able to conduct measurements at the single-molecule level with 1:1-stoichiometry and a well-defined geometry, in which force exclusively propagates through a single subunit of the streptavidin tetramer. For different force loading rates, we obtained narrow force distributions of the bond rupture forces ranging from 200 pN at 1,500 pN/s to 230 pN at 110,000 pN/s. The data are in very good agreement with the standard Bell-Evans model with a single potential barrier at Δx 0 = 0.38 nm and a zero-force off-rate k off, 0 in the 10 −6 s -1 range.

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          Dynamic strength of molecular adhesion bonds.

          In biology, molecular linkages at, within, and beneath cell interfaces arise mainly from weak noncovalent interactions. These bonds will fail under any level of pulling force if held for sufficient time. Thus, when tested with ultrasensitive force probes, we expect cohesive material strength and strength of adhesion at interfaces to be time- and loading rate-dependent properties. To examine what can be learned from measurements of bond strength, we have extended Kramers' theory for reaction kinetics in liquids to bond dissociation under force and tested the predictions by smart Monte Carlo (Brownian dynamics) simulations of bond rupture. By definition, bond strength is the force that produces the most frequent failure in repeated tests of breakage, i.e., the peak in the distribution of rupture forces. As verified by the simulations, theory shows that bond strength progresses through three dynamic regimes of loading rate. First, bond strength emerges at a critical rate of loading (> or = 0) at which spontaneous dissociation is just frequent enough to keep the distribution peak at zero force. In the slow-loading regime immediately above the critical rate, strength grows as a weak power of loading rate and reflects initial coupling of force to the bonding potential. At higher rates, there is crossover to a fast regime in which strength continues to increase as the logarithm of the loading rate over many decades independent of the type of attraction. Finally, at ultrafast loading rates approaching the domain of molecular dynamics simulations, the bonding potential is quickly overwhelmed by the rapidly increasing force, so that only naked frictional drag on the structure remains to retard separation. Hence, to expose the energy landscape that governs bond strength, molecular adhesion forces must be examined over an enormous span of time scales. However, a significant gap exists between the time domain of force measurements in the laboratory and the extremely fast scale of molecular motions. Using results from a simulation of biotin-avidin bonds (Izrailev, S., S. Stepaniants, M. Balsera, Y. Oono, and K. Schulten. 1997. Molecular dynamics study of unbinding of the avidin-biotin complex. Biophys. J., this issue), we describe how Brownian dynamics can help bridge the gap between molecular dynamics and probe tests.
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            Theory, analysis, and interpretation of single-molecule force spectroscopy experiments.

            Dynamic force spectroscopy probes the kinetic and thermodynamic properties of single molecules and molecular assemblies. Here, we propose a simple procedure to extract kinetic information from such experiments. The cornerstone of our method is a transformation of the rupture-force histograms obtained at different force-loading rates into the force-dependent lifetimes measurable in constant-force experiments. To interpret the force-dependent lifetimes, we derive a generalization of Bell's formula that is formally exact within the framework of Kramers theory. This result complements the analytical expression for the lifetime that we derived previously for a class of model potentials. We illustrate our procedure by analyzing the nanopore unzipping of DNA hairpins and the unfolding of a protein attached by flexible linkers to an atomic force microscope. Our procedure to transform rupture-force histograms into the force-dependent lifetimes remains valid even when the molecular extension is a poor reaction coordinate and higher-dimensional free-energy surfaces must be considered. In this case the microscopic interpretation of the lifetimes becomes more challenging because the lifetimes can reveal richer, and even nonmonotonic, dependence on the force.
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              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.
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                Author and article information

                Contributors
                Role: ConceptualizationRole: Data curationRole: Formal analysisRole: InvestigationRole: MethodologyRole: SoftwareRole: ValidationRole: VisualizationRole: Writing – original draftRole: Writing – review & editing
                Role: Formal analysisRole: InvestigationRole: MethodologyRole: SoftwareRole: Visualization
                Role: Formal analysisRole: InvestigationRole: ValidationRole: VisualizationRole: Writing – original draft
                Role: Data curationRole: Formal analysisRole: Investigation
                Role: MethodologyRole: ResourcesRole: Software
                Role: ConceptualizationRole: Formal analysisRole: Project administrationRole: ResourcesRole: SupervisionRole: Writing – original draft
                Role: Funding acquisitionRole: Project administrationRole: ResourcesRole: SupervisionRole: Writing – original draft
                Role: Editor
                Journal
                PLoS One
                PLoS ONE
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, CA USA )
                1932-6203
                5 December 2017
                2017
                : 12
                : 12
                : e0188722
                Affiliations
                [001]Lehrstuhl für Angewandte Physik and Center for NanoScience (CeNS), Ludwig-Maximilians-Universität München, Munich, Germany
                National Institute for Medical Research, Medical Research Council, London, UNITED KINGDOM
                Author notes

                Competing Interests: The authors have declared that no competing interests exist.

                Author information
                http://orcid.org/0000-0002-4220-6088
                Article
                PONE-D-17-28746
                10.1371/journal.pone.0188722
                5716544
                29206886
                f611f846-9d3b-4dd5-ba24-f8b604fb3d34
                © 2017 Sedlak et al

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 2 August 2017
                : 7 November 2017
                Page count
                Figures: 7, Tables: 0, Pages: 16
                Funding
                Funded by: funder-id http://dx.doi.org/10.13039/501100000781, European Research Council;
                Award ID: ERC-2011-ADG_20110310
                Award Recipient :
                Funded by: Deutsche Forschungsgemeinschaft (DE)
                Award ID: SFB1032
                Funding was provided by the European Research Council Advanced Grant (HEG) ERC-2011-ADG_20110310 to Hermann E. Gaub and the SFB1032 (HEG) of the Deutsche Forschungsgemeinschaft. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. SMS and MSB thank the Nanosystems Initiative Munich for support. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Physical Sciences
                Chemistry
                Chemical Compounds
                Organic Compounds
                Vitamins
                B Vitamins
                Biotin
                Physical Sciences
                Chemistry
                Organic Chemistry
                Organic Compounds
                Vitamins
                B Vitamins
                Biotin
                Physical Sciences
                Chemistry
                Chemical Compounds
                Organic Compounds
                Amino Acids
                Sulfur Containing Amino Acids
                Cysteine
                Physical Sciences
                Chemistry
                Organic Chemistry
                Organic Compounds
                Amino Acids
                Sulfur Containing Amino Acids
                Cysteine
                Biology and Life Sciences
                Biochemistry
                Proteins
                Amino Acids
                Sulfur Containing Amino Acids
                Cysteine
                Research and Analysis Methods
                Spectrum Analysis Techniques
                Absorption Spectroscopy
                Physical Sciences
                Chemistry
                Stoichiometry
                Biology and Life Sciences
                Biochemistry
                Proteins
                Luminescent Proteins
                Green Fluorescent Protein
                Research and Analysis Methods
                Mathematical and Statistical Techniques
                Mathematical Functions
                Curve Fitting
                Research and Analysis Methods
                Chemical Characterization
                Calorimetry
                Isothermal Titration Calorimetry
                Biology and Life Sciences
                Microbiology
                Medical Microbiology
                Microbial Pathogens
                Fungal Pathogens
                Streptomyces
                Medicine and Health Sciences
                Pathology and Laboratory Medicine
                Pathogens
                Microbial Pathogens
                Fungal Pathogens
                Streptomyces
                Biology and Life Sciences
                Mycology
                Fungal Pathogens
                Streptomyces
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