Free-energy calculations - Theoretical Biophysics Group
Free-energy calculations - Theoretical Biophysics Group
Free-energy calculations - Theoretical Biophysics Group
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<strong>Free</strong>-<strong>energy</strong> perturbation <strong>calculations</strong> “Alchemical transformations”<br />
1 Build the topologies representative of state 0 and state 1, and establish an exclusion<br />
list to prevent atoms that are not common to 0 and 1 from interacting.<br />
2 Generate an ensemble of configurations that are representative of the reference<br />
state, λ.<br />
3 For each configuration, evaluate the potential <strong>energy</strong> using the reference state<br />
Hamiltonian, U(x; λ).<br />
4 Repeat the same <strong>calculations</strong> using the Hamiltonian of the target state.<br />
5 For each configuration, evaluate the potential <strong>energy</strong> difference.<br />
6 Compute the ensemble average 〈exp {−β [U(x; λ + ∆λ) − U(x; λ)]}〉 λ , from<br />
which the free <strong>energy</strong> difference ∆A = A(λ + δλ) − A(λ) can be derived.<br />
7 Increment λ and go to stage 2.<br />
Chris Chipot <strong>Free</strong>-<strong>energy</strong> <strong>calculations</strong>