CALIBER
This is part of the isdb module

Add a time-dependent, harmonic restraint on one or more variables.

This allows implementing a maximum caliber restraint on one or more experimental time series by replica-averaged restrained simulations. See [33] .

The time resolved experiments are read from a text file and intermediate values are obtained by splines.

Description of components

By default this Action calculates the following quantities. These quantities can be referenced elsewhere in the input by using this Action's label followed by a dot and the name of the quantity required from the list below.

Quantity Description
bias the instantaneous value of the bias potential
x0 the instantaneous value of the center of the potential
mean the current average value of the calculated observable
kappa the current force constant

In addition the following quantities can be calculated by employing the keywords listed below

Quantity Keyword Description
scale REGRES_ZERO the current scaling constant
Compulsory keywords
FILE the name of the file containing the time-resolved values
KAPPA a force constant, this can be use to scale a constant estimated on-the-fly using AVERAGING
TSCALE ( default=1.0 ) Apply a time scaling on the experimental time scale
SCALE ( default=1.0 ) Apply a constant scaling on the data provided as arguments
Options
NUMERICAL_DERIVATIVES ( default=off ) calculate the derivatives for these quantities numerically
NOENSEMBLE

( default=off ) don't perform any replica-averaging

ARG the input for this action is the scalar output from one or more other actions. The particular scalars that you will use are referenced using the label of the action. If the label appears on its own then it is assumed that the Action calculates a single scalar value. The value of this scalar is thus used as the input to this new action. If * or *.* appears the scalars calculated by all the proceeding actions in the input file are taken. Some actions have multi-component outputs and each component of the output has a specific label. For example a DISTANCE action labelled dist may have three components x, y and z. To take just the x component you should use dist.x, if you wish to take all three components then use dist.*.More information on the referencing of Actions can be found in the section of the manual on the PLUMED Getting Started. Scalar values can also be referenced using POSIX regular expressions as detailed in the section on Regular Expressions. To use this feature you you must compile PLUMED with the appropriate flag. You can use multiple instances of this keyword i.e. ARG1, ARG2, ARG3...
AVERAGING Stride for calculation of the optimum kappa, if 0 only KAPPA is used.
REGRES_ZERO stride for regression with zero offset
Examples

In the following example a restraint is applied on the time evolution of a saxs spectrum

MOLINFO STRUCTURE=first.pdb

# Define saxs variable
SAXS ...
LABEL=saxs
ATOMISTIC
ATOMS=1-436
QVALUE1=0.02 # Q-value at which calculate the scattering
QVALUE2=0.0808
QVALUE3=0.1264
QVALUE4=0.1568
QVALUE5=0.172
QVALUE6=0.1872
QVALUE7=0.2176
QVALUE8=0.2328
QVALUE9=0.248
QVALUE10=0.2632
QVALUE11=0.2936
QVALUE12=0.3088
QVALUE13=0.324
QVALUE14=0.3544
QVALUE15=0.4
... SAXS


#define the caliber restraint
CALIBER ...
  ARG=(saxs\.q_.*)
  FILE=expsaxs.dat
  KAPPA=10
  LABEL=cal0
  STRIDE=10
  REGRES_ZERO=200
  AVERAGING=200
... CALIBER

In particular the file expsaxs.dat contains the time traces for the 15 intensities at the selected scattering lengths, organized as time, q_1, etc. The strength of the bias is automatically evaluated from the standard error of the mean over AVERAGING steps and multiplied by KAPPA. This is useful when working with multiple experimental data Because SAXS is usually defined in a manner that is irrespective of a scaling factor the scaling is evaluated from a linear fit every REGRES_ZERO step. Alternatively it can be given as a fixed constant as SCALE. The bias is here applied every tenth step.