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tractable only if the bulk of the remaining molecule is treated at a lower level of<br />

theory[118].<br />

In the present work we focus on the dynamics of proteins. A protein is a linear chain of<br />

amino acid residues of 20 different types, the sequence of which (along with the solvent<br />

environment, chaperones, cofactors, and binding partners) determines the final folded<br />

conformation. They are particularly challenging systems because they are only<br />

marginally stable.[1] Many methods have been developed to compute atomic motions in<br />

proteins; the most accurate employ a force field which relates atomic positions, bond<br />

lengths, bond angles, and dihedrals to potential. These force fields usually contain the<br />

following:<br />

E pot = " Vstretch + " Vangle + " Vtorsion + " VVanderWaals + " Velectrostatic Where the first two terms are typically modeled using quadratic potentials, and the third<br />

with a harmonic potential. The Van der Waals interactions may be modeled using the<br />

Lennard-Jones potential or others, while the electrostatic interactions are taken to act<br />

between pointlike particles at the nuclear positions, having effective charges that largely<br />

reflect the electronic charge distribution. The hydrogen bonding interactions are<br />

absorbed into the electrostatic term by adjustment of the partial charges. The parameters<br />

are obtained either through ab initio methods that compute the electronic wave functions<br />

of molecules or, more often, by fitting to empirical data.<br />

18

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