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Bias exchange metadynamics simulation of the cis-trans isomerization of a Prolyl Peptide

PLUMED input for a bias-exchange metadynamics simulation of the cis-trans isomerization in a Prolyl peptide (see also that of a bi-dimensional metadynamics). The simulation utilizes two replicas, each applying a bias to one of the torsion angles, omega and psi, that describe the cis-trans transition at the proline peptide bond, along with the associated auxiliary conformational motion, respectively. Replica exchanges are attempted at regular intervals and accepted according to a Metropolis criterion, based on the biasing potentials of the replicas. The setup entails one common PLUMED file specifing the two torsional angles, omega and psi, and the RANDOM_EXCHANGES keyword instructing PLUMED to make exchanges between randomly chosen replicas:

# randomize the exchange (not between consecutive indeces, here just 2 replicas, so it is not relevant)
RANDOM_EXCHANGES
# set up the two torsion collective variables 
# omega (use cv1 so it will be compatible with the METAGUI analysis plugin)
cv1: TORSION ATOMS=19,26,28,3
# psi (use cv2 so it will be compatible with the METAGUI analysis plugin)
cv2: TORSION ATOMS=27,31,39,41

Two additional PLUMED files are required for each metadynamics replica, and these can be placed in separate folders where each replica is being run. These PLUMED files read the definitions of collective variables and other shared parameters from the common PLUMED file using the INCLUDE FILE keyword. The bias is applied to a single dihedral angle, with each replica biasing a different angle. The first PLUMED file performs metadynamics on the omega angle (cv1):

INCLUDE FILE=plumed_be-common.dat

#METAD activates metadynamics
#ARG indicates variables to enhance (omega & psi)
#PACE indicates frequency of Gaussian deposition is 1000 time step (2ps)
#HEIGHT indicates that height of the Gaussians is 0.2 kJ/mol
#SIGMA indicates the width of the Gaussians on the biased cv, respectively

be: METAD ARG=cv1 PACE=1000 HEIGHT=0.2 SIGMA=0.17

#print in other file the values of the CVS and the bias potential
#STRIDE frequency of output
#ARG things to print, omega, psi
#FILE, name of the file to output; COLVAR

PRINT STRIDE=500 ARG=cv1,cv2 FILE=COLVAR
DUMPFORCES ARG=cv1,cv2 STRIDE=500 FILE=forces.dat

The second PLUMED file entails a metadynamics on the psi angle (cv2):

INCLUDE FILE=plumed_be-common.dat

#METAD activates metadynamics
#ARG indicates variables to enhance (omega & psi)
#PACE indicates frequency of Gaussian deposition is 1000 time step (2ps)
#HEIGHT indicates that height of the Gaussians is 0.2 kJ/mol
#SIGMA indicates the width of the Gaussians on the biased cv, respectively

be: METAD ARG=cv2 PACE=1000 HEIGHT=0.2 SIGMA=0.24

#print in other file the values of the CVS and the bias potential
#STRIDE frequency of output
#ARG things to print, omega, psi
#FILE, name of the file to output; COLVAR

PRINT STRIDE=500 ARG=cv1,cv2 FILE=COLVAR
DUMPFORCES ARG=cv1,cv2 STRIDE=500 FILE=forces.dat

Both PLUMED files output the collective variables and biasing applied forces on those variables to the files COLVAR and forces.dat via the keywords PRINT and DUMPFORCES, respectively. These files are useful for calculating the bi-dimensional free energy as a function of omega and psi, using the sampling of both replicas via the force correction analysis method (FCAM, Marinelli et al. JCTC 2021, https://github.com/FCAM-NIH/FCAM). Detailed documentation on setup and analysis is provided on the Tutorial Instructions.