Stretching lattice models of protein folding

A new class of experiments that probe folding of individual protein domains uses mechanical stretching to cause the transition. We show how stretching forces can be incorporated in lattice models of folding. For fast folding proteins, the analysis suggests a complex relation between the force dependence and the reaction coordinate for folding.

Stretching single-domain proteins: Phase diagram and kinetics of force-induced unfolding

Single-molecule force spectroscopy reveals unfolding of domains in titin on stretching. We provide a theoretical framework for these experiments by computing the phase diagrams for force-induced unfolding of single-domain proteins using lattice models. The results show that two-state folders (at zero force) unravel cooperatively, whereas stretching of non-two-state folders occurs through intermediates. The stretching rates of individual molecules show great variations reflecting the heterogeneity of force-induced unfolding pathways. The approach to the stretched state occurs in a stepwise “quantized” manner. Unfolding dynamics and forces required to stretch proteins depend sensitively on topology. The unfolding rates increase exponentially with force f till an optimum value, which is determined by the barrier to unfolding when f = 0. A mapping of these results to proteins shows qualitative agreement with force-induced unfolding of Ig-like domains in titin. We show that single-molecule force spectroscopy can be used to map the folding free energy landscape of proteins in the absence of denaturants.

Mechanism for nucleic acid chaperone activity of HIV-1 nucleocapsid protein revealed by single molecule stretching

The nucleocapsid protein (NC) of HIV type 1 is a nucleic acid chaperone that facilitates the rearrangement of nucleic acids into conformations containing the maximum number of complementary base pairs. We use an optical tweezers instrument to stretch single DNA molecules from the helix to coil state at room temperature in the presence of NC and a mutant form (SSHS NC) that lacks the two zinc finger structures present in NC. Although both NC and SSHS NC facilitate annealing of complementary strands through electrostatic attraction, only NC destabilizes the helical form of DNA and reduces the cooperativity of the helix-coil transition. In particular, we find that the helix-coil transition free energy at room temperature is significantly reduced in the presence of NC. Thus, upon NC binding, it is likely that thermodynamic fluctuations cause continuous melting and reannealing of base pairs so that DNA strands are able to rapidly sample configurations to find the lowest energy state. The reduced cooperativity allows these fluctuations to occur in the middle of complex double-stranded structures. The reduced stability and cooperativity, coupled with the electrostatic attraction generated by the high charge density of NC, is responsible for the nucleic acid chaperone activity of this protein.

Identification of the overtone of the Fe-CO stretching mode in heme proteins: a probe of the heme active site.

Two CO-isotope sensitive lines have been detected in the overtone region of the resonance Raman spectra of CO-bound hemeproteins. One line is assigned as the overtone of the Fe-CO stretching mode and is located in the 1000- to 1070-cm-1 region. The other line is found in the 1180- to 1210-cm-1 region and is assigned as a combination between a porphyrin mode, nu 7, and the Fe-CO stretching mode. The high intensities of these lines, which in the terminal oxidase class of proteins are of the same order as those of the fundamental stretching mode, indicate that the mechanism of enhancement for modes involving the Fe-CO moiety is different from that for the modes of the porphyrin macrocycle and call for reexamination of Raman theory of porphyrins as applied to axial ligands. The anharmonicity of the electronic potential function was evaluated, revealing that in the terminal oxidases the anharmonicity is greater than in the other heme proteins that were examined, suggesting a distinctive interaction of the bound CO with its distal environment in this family. Furthermore, the anharmonicity correlates with the frequency of the C-O stretching mode, demonstrating that both of these parameters are sensitive to the Fe-CO bond energy. The overtone and combination lines involving the bound CO promise to be additional probes of heme protein structural properties.