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ending, which involves a rigid region or domain of the protein moving relative to<br />

another domain about a hinge which connects the two.[3, 9] Such motions typically<br />

involve the slowest degrees of freedom of the system and so are difficult to treat by<br />

existing methods.<br />

Despite the challenges, the prediction of conformational change in proteins attracts wide<br />

theoretical and experimental interest. Flexibility, molecular recognition, induced fit,<br />

protein-protein docking, assembly of complexes, elucidation of enzyme reactions,<br />

reaction kinetics and many other fields will benefit from an improved understanding of<br />

this topic.<br />

Much work has been done in this area. Molecular Dynamics[85] explicitly computes the<br />

dynamical trajectory of molecules modeled as point masses connected by linear and<br />

nonlinear springs and can be used to predict conformational change, but usually only<br />

small- to medium-scale domain motions can be reproduced. One problem that the<br />

technique suffers from is the difficulty of escaping the vicinity of an initial conformation<br />

in a reasonable amount of time. Carlson et al.[86] showed how to include the<br />

fluctuations of proteins in drug docking by first computing the protein trajectory using<br />

Molecular Dynamics. This method can treat fast fluctuations but large scale<br />

conformational changes are out of its reach for the same reasons as above.<br />

Normal modes have also been used by many authors to predict the conformational<br />

changes of proteins. Comparison of the atomic coordinates of homologous pairs of<br />

239

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