ALPHARMSD

This is part of the secondarystructure module |

Probe the alpha helical content of a protein structure.

Any chain of six contiguous residues in a protein chain can form an alpha helix. This colvar thus generates the set of all possible six residue sections and calculates the RMSD distance between the configuration in which the residues find themselves and an idealized alpha helical structure. These distances can be calculated by either aligning the instantaneous structure with the reference structure and measuring each atomic displacement or by calculating differences between the set of interatomic distances in the reference and instantaneous structures.

This colvar is based on the following reference [38]. The authors of this paper use the set of distances from the alpha helix configurations to measure the number of segments that have an alpha helical configuration. This is done by calculating the following sum of functions of the rmsd distances:

\[ s = \sum_i \frac{ 1 - \left(\frac{r_i-d_0}{r_0}\right)^n } { 1 - \left(\frac{r_i-d_0}{r_0}\right)^m } \]

where the sum runs over all possible segments of alpha helix. By default the NN, MM and D_0 parameters are set equal to those used in [38]. The R_0 parameter must be set by the user - the value used in [38] was 0.08 nm.

If you change the function in the above sum you can calculate quantities such as the average distance from a purely the alpha helical configuration or the distance between the set of residues that is closest to an alpha helix and the reference configuration. To do these sorts of calculations you can use the AVERAGE and MIN keywords. In addition you can use the LESS_THAN keyword if you would like to change the form of the switching function. If you use any of these options you no longer need to specify NN, R_0, MM and D_0.

Please be aware that for codes like gromacs you must ensure that plumed reconstructs the chains involved in your CV when you calculate this CV using anthing other than TYPE=DRMSD. For more details as to how to do this see WHOLEMOLECULES.

- Description of components

By default this Action calculates the number of structural units that are within a certain distance of a idealised secondary structure element. This quantity can then be referenced elsewhere in the input by using the label of the action. However, thes Action can also be used to calculate the following quantities by using the keywords as described below. The quantities then calculated can be referened using the label of the action followed by a dot and then the name from the table below. Please note that you can use the LESS_THAN keyword more than once. The resulting components will be labelled *label*.lessthan-1, *label*.lessthan-2 and so on unless you exploit the fact that these labels are customizable. In particular, by using the LABEL keyword in the description of you LESS_THAN function you can set name of the component that you are calculating

Quantity | Keyword | Description |

altmin | ALT_MIN | the minimum value. This is calculated using the formula described in the description of the keyword so as to make it continuous. |

highest | HIGHEST | the lowest of the quantitities calculated by this action |

lessthan | LESS_THAN | the number of values less than a target value. This is calculated using one of the formula described in the description of the keyword so as to make it continuous. You can calculate this quantity multiple times using different parameters. |

lowest | LOWEST | the lowest of the quantitities calculated by this action |

min | MIN | the minimum value. This is calculated using the formula described in the description of the keyword so as to make it continuous. |

- The atoms involved can be specified using

RESIDUES | this command is used to specify the set of residues that could conceivably form part of the secondary structure. It is possible to use residues numbers as the various chains and residues should have been identified else using an instance of the MOLINFO action. If you wish to use all the residues from all the chains in your system you can do so by specifying all. Alternatively, if you wish to use a subset of the residues you can specify the particular residues you are interested in as a list of numbers. Please be aware that to form secondary structure elements your chain must contain at least N residues, where N is dependent on the particular secondary structure you are interested in. As such if you define portions of the chain with fewer than N residues the code will crash. |

- Compulsory keywords

TYPE | ( default=DRMSD ) the manner in which RMSD alignment is performed. Should be OPTIMAL, SIMPLE or DRMSD. For more details on the OPTIMAL and SIMPLE methods see RMSD. For more details on the DRMSD method see DRMSD. |

R_0 | The r_0 parameter of the switching function. |

D_0 | ( default=0.0 ) The d_0 parameter of the switching function |

NN | ( default=8 ) The n parameter of the switching function |

MM | ( default=12 ) The m parameter of the switching function |

- Options

NUMERICAL_DERIVATIVES | ( default=off ) calculate the derivatives for these quantities numerically |

VERBOSE | ( default=off ) write a more detailed output |

SERIAL | ( default=off ) do the calculation in serial. Do not parallelize |

LOWMEM | ( default=off ) lower the memory requirements |

TIMINGS | ( default=off ) output information on the timings of the various parts of the calculation |

LOWEST | ( default=off ) calculate the lowest of these variables. The final value can be referenced using label.lowest |

HIGHEST | ( default=off ) calculate the highest of these variables. The final value can be referenced using |

LESS_THAN | calculate the number of variables less than a certain target value. This quantity is calculated using \(\sum_i \sigma(s_i)\), where \(\sigma(s)\) is a switchingfunction. The final value can be referenced using label.lessthan. You can use multiple instances of this keyword i.e. LESS_THAN1, LESS_THAN2, LESS_THAN3... The corresponding values are then referenced using label.lessthan-1, label.lessthan-2, label.lessthan-3... |

MIN | calculate the minimum value. To make this quantity continuous the minimum is calculated using \( \textrm{min} = \frac{\beta}{ \log \sum_i \exp\left( \frac{\beta}{s_i} \right) } \) The value of \(\beta\) in this function is specified using (BETA= \(\beta\)) The final value can be referenced using label.min. |

ALT_MIN | calculate the minimum value. To make this quantity continuous the minimum is calculated using \( \textrm{min} = -\frac{1}{\beta} \log \sum_i \exp\left( -\beta s_i \right) \) The value of \(\beta\) in this function is specified using (BETA= \(\beta\)). The final value can be referenced using |

- Examples

The following input calculates the number of six residue segments of protein that are in an alpha helical configuration.

MOLINFO STRUCTURE=helix.pdb ALPHARMSD RESIDUES=all TYPE=DRMSD LESS_THAN={RATIONAL R_0=0.08 NN=8 MM=12} LABEL=a

(see also MOLINFO)