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Larmor frequency selective model free analysis of protein NMR relaxation
Authors:David M. LeMaster
Affiliation:(1) Department of Biochemistry, University of Wisconsin-Madison, 420 Henry Mall, 53706-1569 Madison, WI, U.S.A.
Abstract:Summary The Lipari-Szabo dynamical formalism is extended by setting the time constants of the Lorentzian terms to 
$$ - 1/omega _{text{N}}$$
and 
$$1/omega _{text{H}}  + {text{ }}omega _{text{N}}$$
. This analysis is compared to the earlier proposed three-parameter 
$$({text{S}}_{text{f}}^{text{2}} ,{text{S}}_{text{s}}^{text{2}} ,tau _{text{s}} )$$
extended model free formalism with regard to the range of equivalence and the advantages of the simplified two-parameter (Sinffsup2,SinfHsup2) and (Sinffsup2,SinfNsup2) representations. Spectral density components are calculated and compared to those obtained from the spectral density analysis formalism. Protein relaxation data, commonly analyzed in terms of the two-parameter 
$$({text{S}}^{text{2}} ,tau _{text{e}} )$$
representation, may correspond to a dynamically heterogeneous behaviour that is more appropriately represented in terms of a fast limit order parameter and a second, lower frequency order parameter.
Keywords:Protein dynamics  NMR relaxation  Spectral density analysis
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