We present a theoretical, site-specific, approach to predict protein subunit correlation times, as measured by NMR experiments of (1)H-(15)N nuclear Overhauser effect, spin-lattice relaxation, and spin-spin relaxation. Molecular dynamics simulations are input to our equation of motion for protein dynamics, which is solved analytically to produce the eigenvalues and the eigenvectors that specify the NMR parameters. We directly compare our theoretical predictions to experiments and to simulation data for the signal transduction chemotaxis protein Y (CheY), which regulates the swimming response of motile bacteria. Our theoretical results are in good agreement with both simulations and experiments, without recourse to adjustable parameters. The theory is general, since it allows calculations of any dynamical property of interest. As an example, we present theoretical calculations of NMR order parameters and x-ray Debye-Waller temperature factors; both quantities show good agreement with experimental data.
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The CheY protein isolated from the hyperthermophile Thermotoga maritima is much more resistant to thermally induced unfolding than is its counterpart from the mesophile Bacillus subtilis. To determine the basis of this increased thermostability, the temperature dependence of the free energy of unfolding was determined for these CheY homologues using denaturant-induced unfolding experiments. This allowed comparison of T. maritima CheY with B. subtilis CheY and determination of the thermodynamic qualities responsible for the enhanced thermostability of T. maritima CheY. The stability of the thermophilic CheY protein is a direct result of the increased enthalpy contribution at the temperature of zero entropy, T(s), and the decreased heat capacity change upon unfolding, resulting in a decreased dependence of the free energy of unfolding on temperature. It was found that neither purely entropic nor purely enthalpic contributions alone (as reflected by T(s)) were sufficient to account for the increase in stability.
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