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Sensitivity Analysis

Written by Jian (Jane) Yin (2017.10)

This code computes the analytical first-order derivatives of the standard chemical potential with respect to van der Waals parameters. To compute the derivative of the binding free energy, one may obtain the derivatives of the standard chemical potential from enthalpy calculations, i.e. simulations involving the initial and final states of the binding free energy calculations, and then compute the difference between the derivatives of the bound and unbound states. For the detailed theoretical framework and applications of Sensitivity Analysis, please refer to the following publication:

Yin, J., Fenley, A. T., Henriksen, N. M., & Gilson, M. K. (2015). Toward improved force-field accuracy through sensitivity analysis of host-guest binding thermodynamics. The Journal of Physical Chemistry B, 119(32), 10145-10155. http://pubs.acs.org/doi/abs/10.1021/acs.jpcb.5b04262

To run the Sensitivity Analysis scripts, you need to install Amber and parmEd.

Usage

First of all, use the Python script provided here to generate molecular information (force field parameters and connectivity i.e. bonds, angles and torsions) of your system from the topology file.

For example:

python parseTopoWithParmed.py full.topo

Only the Amber prmtop format is supported for the topology file (full.topo in this example).

Secondly, run the sensitivity executable with three flags: -crd, -cutoff and -gpu.

Flags:

-crd       MD trajectory file; converted from binary
-cutoff    cutoff distance of nonbonded interactions
-GPU       yes or no

Example:

./sensitivity -crd converted.crd -cutoff 9.0 -GPU yes

Currently only the Amber trajectory (non binary) is supported for the coordinate file. If your trajectory uses the NetCDF or PDB format, you can run cpptraj or other programs to convert it. Enabling the -gpu option will greatly boost the speed of the program.

The cutoff distance should match the abrupt cutoff of van ver Waals interaction used in simulations. The sensitivity code does not take into account the long-range corrections of the van der Waals interactions normally adopted in MD simulations. However, it won't affect the predicting power of derivatives to a significant extent.

The derivatives of each frame and the mean values will be printed in radDerivatives.dat (derivatives to radius) and epsDerivatives.dat (derivatives to epsilon). Note that in GAFF radius is used rather than sigma or R_min. Therefore, if you are interested in the derivatives to sigma or R_min, the derivatives to radius need to be converted accordingly.

If you would like to modify the script, issue

make -f makefile

to compile the modified code.

Convergence

It is worth noting that the derivatives may not coverge for large protein-ligand systems. We encourage you to write your own scripts to pull values from radDerivatives.dat and epsDerivatives.dat to compute the uncertainties.

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