Axis-dependent anisotropy in protein unfolding from integrated nonequilibrium single-molecule experiments, analysis, and simulation
- *Department of Chemistry,
- †Institute for Biophysical Dynamics, 929 East 57th Street, University of Chicago, Chicago, IL 60637;
- ‡Department of Radiology, Johns Hopkins University, Baltimore, MD 21205; and
- §Department of Microbiology and Molecular Genetics, Oklahoma State University, Stillwater, OK 74078
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Edited by William A. Eaton, National Institutes of Health, Bethesda, MD, and approved November 7, 2007 (received for review February 12, 2007)
Abstract
We present a comprehensive study that integrates experimental and theoretical nonequilibrium techniques to map energy landscapes along well defined pull-axis specific coordinates to elucidate mechanisms of protein unfolding. Single-molecule force-extension experiments along two different axes of photoactive yellow protein combined with nonequilibrium statistical mechanical analysis and atomistic simulation reveal energetic and mechanistic anisotropy. Steered molecular dynamics simulations and free-energy curves constructed from the experimental results reveal that unfolding along one axis exhibits a transition-state-like feature where six hydrogen bonds break simultaneously with weak interactions observed during further unfolding. The other axis exhibits a constant (unpeaked) force profile indicative of a noncooperative transition, with enthalpic (e.g., H-bond) interactions being broken throughout the unfolding process. Striking qualitative agreement was found between the force-extension curves derived from steered molecular dynamics calculations and the equilibrium free-energy curves obtained by Jarzynski–Hummer–Szabo analysis of the nonequilibrium work data. The anisotropy persists beyond pulling distances of more than twice the initial dimensions of the folded protein, indicating a rich energy landscape to the mechanically fully unfolded state. Our findings challenge the notion that cooperative unfolding is a universal feature in protein stability.
Footnotes
- ¶To whom correspondence should be addressed. E-mail: nfschere{at}uchicago.edu
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Author contributions: R.A.N., J.M.Z., W.D.H., and N.F.S. designed research; R.A.N. and J.M.Z. performed research; R.A.N., J.M.Z., and N.F.S. analyzed data; and R.A.N., J.M.Z., W.D.H., and N.F.S. wrote the paper.
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The authors declare no conflict of interest.
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This article is a PNAS Direct Submission.
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This article contains supporting information online at www.pnas.org/cgi/content/full/0701281105/DC1.
- © 2007 by The National Academy of Sciences of the USA





