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Free-energy calculations - Theoretical Biophysics Group

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36 POHORILLE ET AL. (2010)<br />

37 LU ET AL. (2003, 2004)<br />

38 LEE, SCOTT (1980)<br />

<strong>Free</strong>-<strong>energy</strong> perturbation <strong>calculations</strong> Improving the efficiency of FEP <strong>calculations</strong><br />

Performing a forward calculation from state i, corresponding<br />

to λi, to an additional intermediate at λi+∆λ/2,<br />

and a backward calculation from state i + 1 — which corresponds<br />

to λi + ∆λ — to the same additional intermediate.<br />

The difference in the free energies obtained from these<br />

<strong>calculations</strong> is equal to ∆Ai,i+1. Combining forward and<br />

backward FEP equations, 36<br />

∆Ai,i+1 = − 1<br />

β ln 〈exp −β∆Ui,i+1/2 〉i<br />

〈exp β∆Ui,i+1/2 〉i+1<br />

Simple overlap sampling (SOS) method 37 — one of the<br />

oldest techniques for improving FEP <strong>calculations</strong>. 38 In<br />

general, markedly more accurate than simple averaging.<br />

Chris Chipot <strong>Free</strong>-<strong>energy</strong> <strong>calculations</strong>

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