Evaluating the uncertainty in exchange parameters determined from off-resonance R1ρ relaxation dispersion for systems in fast exchange

Autor: Jameson R. Bothe, Hashim M. Al-Hashimi, Zachary W. Stein
Rok vydání: 2014
Předmět:
Zdroj: Journal of Magnetic Resonance. 244:18-29
ISSN: 1090-7807
DOI: 10.1016/j.jmr.2014.04.010
Popis: Spin relaxation in the rotating frame ( R 1 ρ ) is a powerful NMR technique for characterizing fast microsecond timescale exchange processes directed toward short-lived excited states in biomolecules. At the limit of fast exchange, only k ex = k 1 + k − 1 and Φ ex = p G p E (Δ ω ) 2 can be determined from R 1 ρ data limiting the ability to characterize the structure and energetics of the excited state conformation. Here, we use simulations to examine the uncertainty with which exchange parameters can be determined for two state systems in intermediate-to-fast exchange using off-resonance R 1 ρ relaxation dispersion. R 1 ρ data computed by solving the Bloch–McConnell equations reveals small but significant asymmetry with respect to offset ( R 1 ρ (Δ Ω ) ≠ R 1 ρ (−ΔΩ)), which is a hallmark of slow-to-intermediate exchange, even under conditions of fast exchange for free precession chemical exchange line broadening ( k ex /Δ ω > 10). A grid search analysis combined with bootstrap and Monte-Carlo based statistical approaches for estimating uncertainty in exchange parameters reveals that both the sign and magnitude of Δ ω can be determined at a useful level of uncertainty for systems in fast exchange ( k ex /Δ ω R 1 ρ data and requires a thorough examination of the multidimensional variation of χ 2 as a function of exchange parameters. Results from simulations are complemented by analysis of experimental R 1 ρ data measured in three nucleic acid systems with exchange processes occurring on the slow ( k ex /Δ ω = 0.2; p E = ∼0.7%), fast ( k ex /Δ ω = ∼10–16; p E = ∼13%) and very fast ( k ex = 39,000 s −1 ) chemical shift timescales.
Databáze: OpenAIRE