Effects of multiple-bond ruptures on kinetic parameters extracted from force spectroscopy measurements: revisiting biotin-streptavidin interactions.

Force spectroscopy measurements of the rupture of the molecular bond between biotin and streptavidin often results in a wide distribution of rupture forces. We attribute the long tail of high rupture forces to the nearly simultaneous rupture of more than one molecular bond. To decrease the number of possible bonds, we employed hydrophilic polymeric tethers to attach biotin molecules to the atomic force microscope probe. It is shown that the measured distributions of rupture forces still contain high forces that cannot be described by the forced dissociation from a deep potential well. We employed a recently developed analytical model of simultaneous rupture of two bonds connected by polymer tethers with uneven length to fit the measured distributions. The resulting kinetic parameters agree with the energy landscape predicted by molecular dynamics simulations. It is demonstrated that when more than one molecular bond might rupture during the pulling measurements there is a noise-limited range of probe velocities where the kinetic parameters measured by force spectroscopy correspond to the true energy landscape. Outside this range of velocities, the kinetic parameters extracted by using the standard most probable force approach might be interpreted as artificial energy barriers that are not present in the actual energy landscape. Factors that affect the range of useful velocities are discussed.

[1]  G. I. Bell Models for the specific adhesion of cells to cells. , 1978, Science.

[2]  J. Wendoloski,et al.  Structural origins of high-affinity biotin binding to streptavidin. , 1989, Science.

[3]  J. Baltz,et al.  The strength of non-covalent biological bonds and adhesions by multiple independent bonds. , 1990, Journal of theoretical biology.

[4]  David Keller,et al.  Scanning force microscopy at -25°C , 1993 .

[5]  Gil U. Lee,et al.  Direct measurement of the forces between complementary strands of DNA. , 1994, Science.

[6]  H. Gaub,et al.  Adhesion forces between individual ligand-receptor pairs. , 1994, Science.

[7]  Garg,et al.  Escape-field distribution for escape from a metastable potential well subject to a steadily increasing bias field. , 1995, Physical review. B, Condensed matter.

[8]  Ashutosh Chilkoti,et al.  Molecular Origins of the Slow Streptavidin-Biotin Dissociation Kinetics , 1995 .

[9]  E. Evans,et al.  Dynamic strength of molecular adhesion bonds. , 1997, Biophysical journal.

[10]  M. Rief,et al.  Reversible unfolding of individual titin immunoglobulin domains by AFM. , 1997, Science.

[11]  K. Schulten,et al.  Molecular dynamics study of unbinding of the avidin-biotin complex. , 1997, Biophysical journal.

[12]  Matthias Rief,et al.  Elastically Coupled Two-Level Systems as a Model for Biopolymer Extensibility , 1998 .

[13]  J. Fritz,et al.  Force-mediated kinetics of single P-selectin/ligand complexes observed by atomic force microscopy. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[14]  U. Bockelmann,et al.  DNA strand separation studied by single molecule force measurements , 1998 .

[15]  E. Evans Energy landscapes of biomolecular adhesion and receptor anchoring at interfaces explored with dynamic force spectroscopy. , 1998, Faraday discussions.

[16]  T. Beebe,et al.  Specific Interactions between Biotin and Avidin Studied by Atomic Force Microscopy Using the Poisson Statistical Analysis Method , 1999 .

[17]  J. Hoheisel,et al.  Versatile derivatisation of solid support media for covalent bonding on DNA-microchips. , 1999, Nucleic acids research.

[18]  R. Merkel,et al.  Energy landscapes of receptor–ligand bonds explored with dynamic force spectroscopy , 1999, Nature.

[19]  E. Evans,et al.  Strength of a weak bond connecting flexible polymer chains. , 1999, Biophysical journal.

[20]  R. Merkel,et al.  STATISTICAL BREAKAGE OF SINGLE PROTEIN A-IGG BONDS REVEALS CROSSOVER FROM SPONTANEOUS TO FORCE-INDUCED BOND DISSOCIATION , 1999 .

[21]  B. Akhremitchev,et al.  Single Polymer Chain Elongation by Atomic Force Microscopy , 1999 .

[22]  M. Viani,et al.  Small cantilevers for force spectroscopy of single molecules , 1999 .

[23]  M. Rief,et al.  Sequence-dependent mechanics of single DNA molecules , 1999, Nature Structural Biology.

[24]  Matthias Rief,et al.  Single molecule force spectroscopy by AFM indicates helical structure of poly(ethylene-glycol) in water , 1999 .

[25]  M. Hegner,et al.  Model energy landscapes and the force-induced dissociation of ligand-receptor bonds. , 2000, Biophysical Journal.

[26]  P Kolb,et al.  Energy landscape of streptavidin-biotin complexes measured by atomic force microscopy. , 2000, Biochemistry.

[27]  H. Grubmüller,et al.  Dynamic force spectroscopy of molecular adhesion bonds. , 2000, Physical review letters.

[28]  M. Stevens,et al.  On the dynamic behaviour of the forced dissociation of ligand–receptor pairs , 2000 .

[29]  Piotr E. Marszalek,et al.  Stretching single molecules into novel conformations using the atomic force microscope , 2000, Nature Structural Biology.

[30]  D. Leckband,et al.  Intermolecular forces in biology , 2001, Quarterly Reviews of Biophysics.

[31]  A. Oberhauser,et al.  Multiple conformations of PEVK proteins detected by single-molecule techniques , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[32]  V. Daggett,et al.  Can non-mechanical proteins withstand force? Stretching barnase by atomic force microscopy and molecular dynamics simulation. , 2001, Biophysical journal.

[33]  S. Smith,et al.  Mechanical fatigue in repetitively stretched single molecules of titin. , 2001, Biophysical journal.

[34]  John T. Woodward,et al.  Reliability theory for receptor–ligand bond dissociation , 2001 .

[35]  Ferry Kienberger,et al.  Surface attachment of ligands and receptors for molecular recognition force microscopy , 2002 .

[36]  Gerhard Hummer,et al.  Kinetics from nonequilibrium single-molecule pulling experiments. , 2003, Biophysical journal.

[37]  H. Gaub,et al.  Dynamic single-molecule force spectroscopy: bond rupture analysis with variable spacer length , 2003 .

[38]  H. Gaub,et al.  Analysis of Metallo‐Supramolecular Systems Using Single‐Molecule Force Spectroscopy , 2003 .

[39]  P. Williams Analytical descriptions of dynamic force spectroscopy: behaviour of multiple connections , 2003 .

[40]  J. Klafter,et al.  Beyond the conventional description of dynamic force spectroscopy of adhesion bonds , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[41]  P. Bisch,et al.  LexA-DNA bond strength by single molecule force spectroscopy. , 2004, Biophysical journal.

[42]  M. Davies,et al.  Influence of architecture on the kinetic stability of molecular assemblies. , 2004, Journal of the American Chemical Society.

[43]  Jason Cleveland,et al.  Finite optical spot size and position corrections in thermal spring constant calibration , 2004 .

[44]  Hongbin Li,et al.  The unfolding kinetics of ubiquitin captured with single-molecule force-clamp techniques. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[45]  Aleksandr Noy,et al.  Dynamic force spectroscopy of parallel individual Mucin1-antibody bonds. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[46]  Chad Ray,et al.  Conformational heterogeneity of surface-grafted amyloidogenic fragments of alpha-synuclein dimers detected by atomic force microscopy. , 2005, Journal of the American Chemical Society.

[47]  Emanuele Paci,et al.  Mechanically unfolding the small, topologically simple protein L. , 2005, Biophysical journal.

[48]  R. Braatz,et al.  Multiple-bond kinetics from single-molecule pulling experiments: evidence for multiple NCAM bonds. , 2005, Biophysical journal.

[49]  Single-molecule measurements of the impact of lipid phase behavior on anchor strengths. , 2005, The journal of physical chemistry. B.

[50]  Frédéric Pincet,et al.  The solution to the streptavidin-biotin paradox: the influence of history on the strength of single molecular bonds. , 2005, Biophysical journal.

[51]  Y. Lyubchenko,et al.  Protein interactions and misfolding analyzed by AFM force spectroscopy. , 2005, Journal of molecular biology.

[52]  H. Tsao,et al.  Forced Kramers escape in single-molecule pulling experiments. , 2005, The Journal of chemical physics.

[53]  Todd Sulchek,et al.  Strength of multiple parallel biological bonds. , 2005, Biophysical journal.

[54]  P. Reimann,et al.  Theoretical analysis of single-molecule force spectroscopy experiments: heterogeneity of chemical bonds. , 2006, Biophysical journal.

[55]  Marek Szymoński,et al.  Dynamic force measurements of avidin-biotin and streptavdin-biotin interactions using AFM. , 2006, Acta biochimica Polonica.

[56]  Hongbin Li,et al.  Single molecule force spectroscopy reveals a weakly populated microstate of the FnIII domains of tenascin. , 2006, Journal of molecular biology.

[57]  E. Thormann,et al.  Dynamic force spectroscopy on soft molecular systems: improved analysis of unbinding spectra with varying linker compliance. , 2006, Colloids and surfaces. B, Biointerfaces.

[58]  Jason R. Brown,et al.  Single-molecule force spectroscopy measurements of "hydrophobic bond" between tethered hexadecane molecules. , 2006, The journal of physical chemistry. B.

[59]  Gerhard Hummer,et al.  Intrinsic rates and activation free energies from single-molecule pulling experiments. , 2006, Physical review letters.

[60]  M. McElfresh,et al.  Nonlinearly additive forces in multivalent ligand binding to a single protein revealed with force spectroscopy. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[61]  H. Gaub,et al.  Modelling cantilever-based force spectroscopy with polymers , 2006 .

[62]  M. Rief,et al.  Single-molecule unfolding force distributions reveal a funnel-shaped energy landscape. , 2006, Biophysical journal.

[63]  H. Kreuzer,et al.  Breaking bonds in the atomic force microscope: theory and analysis. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[64]  F. Rico,et al.  Energy landscape roughness of the streptavidin–biotin interaction , 2007, Journal of molecular recognition : JMR.

[65]  SenLi Guo,et al.  Single-Molecule Force Spectroscopy Measurements of Interactions between C60 Fullerene Molecules , 2007 .

[66]  Dynamic force spectroscopy of the specific interaction between the PDZ domain and its recognition peptides. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[67]  D. Thirumalai,et al.  Measuring the energy landscape roughness and the transition state location of biomolecules using single molecule mechanical unfolding experiments , 2006, Journal of Physics: Condensed Matter.

[68]  Rupture force analysis and the associated systematic errors in force spectroscopy by AFM. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[69]  E. Toone,et al.  A stochastic, cantilever approach to the evaluation of solution phase thermodynamic quantities , 2007, Proceedings of the National Academy of Sciences.

[70]  H. Gaub,et al.  Affinity-matured recombinant antibody fragments analyzed by single-molecule force spectroscopy. , 2007, Biophysical journal.

[71]  Jason R. Brown,et al.  Correction of systematic errors in single-molecule force spectroscopy with polymeric tethers by atomic force microscopy. , 2007, The journal of physical chemistry. B.

[72]  Hongbin Li,et al.  Polyprotein of GB1 is an ideal artificial elastomeric protein. , 2007, Nature materials.

[73]  Universal laws in the force-induced unraveling of biological bonds. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[74]  K. V. Van Vliet,et al.  Extending Bell's model: how force transducer stiffness alters measured unbinding forces and kinetics of molecular complexes. , 2008, Biophysical journal.

[75]  SenLi Guo,et al.  Effects of Multiple-Bond Ruptures in Force Spectroscopy Measurements of Interactions between Fullerene C_(60) Molecules in Water , 2008 .