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Thesis Title: Subtitle - NMR Spectroscopy Research Group

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4.2 Introduction. 103<br />

(4.1)<br />

The -tensor defines a coordinate system in the molecule that is centered on the metal ion<br />

and is fully described by eight parameters ( ax, rh, three Euler angles relating the orientation of<br />

the Δχ-tensor to the protein frame, and the coordinates of the metal ion). Therefore, the Δχ-tensor<br />

can be determined using PCS data from at least eight nuclear spins, provided the coordinates of the<br />

spins are known.<br />

As PCSs can be measured for nuclear spins 40 Å away from the metal, they present long-<br />

range structure restraints exquisitely suited to characterize the global structural arrangement of a<br />

protein. PCSs have thus been used very successfully to refine protein structures (Bertini et al.,<br />

2001, Gaponenko et al., 2004, Arnesano et al., 2005), dock protein molecules of known 3D<br />

structures (Ubbink et al., 1998, Pintacuda et al., 2006) and determine the structure of small<br />

molecules bound to a protein of known 3D structure (John et al., 2006, Pintacuda et al., 2007,<br />

Zhuang et al., 2008). The need for atom coordinates to determine the Δχ-tensor parameters,<br />

however, makes it more difficult to use PCSs in de novo determinations of protein 3D structures.<br />

All presently available protein structure determination software that uses PCS data to supplement<br />

conventional <strong>NMR</strong> restraints requires estimates of ax and rh as input parameters (Banci et al.,<br />

1998, Banci et al., 2004). These are often difficult to estimate accurately, as they depend on the<br />

chemical environment of the metal ion and the mobility of the paramagnetic center with respect to<br />

the protein.<br />

The ROSETTA structure prediction methodology (Simons et al., 1997) is well suited for<br />

taking advantages of the rich source of information inherent in PCSs. ROSETTA de novo structure<br />

prediction has two stages —first a low resolution phase in which conformational space is searched<br />

broadly using a coarse grained energy function, and second, a high resolution phase in which<br />

models generated in the first phase are refined in a physically realistic all atom force field. The<br />

bottleneck in structure prediction using ROSETTA is conformational sampling; close to native<br />

structures almost always have lower energies than non native structures. For small proteins ( < 100<br />

residues), ROSETTA has produced models with atomic level accuracy in blind prediction<br />

challenges (Raman et al., 2009). For larger proteins, however, structures close enough to the native<br />

structure to fall into the deep native energy minimum are generated seldom or not at all. This<br />

sampling problem can be overcome if even very limited experimental data is available to guide the<br />

initial low resolution search. For example, CS-ROSETTA uses <strong>NMR</strong> chemical shifts to guide

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