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&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;      &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<updated>2009-01-28T17:25:56Z</updated>

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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Parameters ==&lt;br /&gt;
&lt;br /&gt;
; steps=&amp;#039;&amp;#039;integer&amp;#039;&amp;#039;                (required)&lt;br /&gt;
; dt=&amp;#039;&amp;#039;real&amp;#039;&amp;#039;: (default: 0.05)&lt;br /&gt;
; level=&amp;#039;&amp;#039;integer&amp;#039;&amp;#039;: (default: 0)&lt;br /&gt;
; temperature=&amp;#039;&amp;#039;string&amp;#039;&amp;#039;: (default: 0.1)&lt;br /&gt;
; accuracy=&amp;#039;&amp;#039;string&amp;#039;&amp;#039;: (default: 0.0)&lt;br /&gt;
; tau=&amp;#039;&amp;#039;real&amp;#039;&amp;#039;: (default: 0.0)&lt;br /&gt;
; nprint=&amp;#039;&amp;#039;integer&amp;#039;&amp;#039;: (default: 0)&lt;br /&gt;
; tinit=&amp;#039;&amp;#039;real&amp;#039;&amp;#039;: (default: 0.0)&lt;br /&gt;
; estart=&amp;#039;&amp;#039;real&amp;#039;&amp;#039;: (default: 0.01)&lt;br /&gt;
; angdev=&amp;#039;&amp;#039;real&amp;#039;&amp;#039;: (default: 10.0)&lt;br /&gt;
; vdwupdate=&amp;#039;&amp;#039;integer&amp;#039;&amp;#039;: (default: 100)&lt;br /&gt;
; exact                          &lt;br /&gt;
; continue                       &lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
This command performs molecular dynamics simulation in torsion angle&lt;br /&gt;
space (torsion angle dynamics) with the following parameters:&lt;br /&gt;
&lt;br /&gt;
  steps        number of time steps&lt;br /&gt;
  dt           time step length&lt;br /&gt;
  level        maximal residue index difference for restraints&lt;br /&gt;
               that are included into the target function&lt;br /&gt;
  temperature  temperature of the heat bath to which the system&lt;br /&gt;
               is coupled, or 0.0 for a simulation at constant&lt;br /&gt;
               total energy&lt;br /&gt;
  accuracy     desired relative accuracy of energy conservation&lt;br /&gt;
               for automatic time step length adaption, or 0.0&lt;br /&gt;
               for a simulation with constant time step length&lt;br /&gt;
  tau          coupling constant for temperature and time step&lt;br /&gt;
               length updates, given in units of the time step&lt;br /&gt;
               length&lt;br /&gt;
  nprint       bumber of time steps between intermediate output&lt;br /&gt;
  tinit        initial time&lt;br /&gt;
  estart       initial temperature (kinetic energy per degree&lt;br /&gt;
               of freedom)&lt;br /&gt;
  angdev       maximal change of a dihedral angle (in degrees)&lt;br /&gt;
               between two updates of the van der Waals pair list&lt;br /&gt;
  vdwupdate    maximal number of TAD steps between two updates&lt;br /&gt;
               of the van der Waals pair list&lt;br /&gt;
&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;md&amp;#039;&amp;#039;&amp;#039; command can start a new torsion angle dynamics run, or, if the&lt;br /&gt;
option &amp;#039;&amp;#039;&amp;#039;continue&amp;#039;&amp;#039;&amp;#039; is set, continue a preceding torsion angle dynamics&lt;br /&gt;
calculation. A new molecular dynamics trajectory starts at time &amp;#039;&amp;#039;tinit&amp;#039;&amp;#039;&lt;br /&gt;
(normally 0.0) with random torsional velocities, chosen as Gaussian&lt;br /&gt;
random variables such that the initial temperature (kinetic energy&lt;br /&gt;
per degree of freedom) equals &amp;#039;&amp;#039;estart&amp;#039;&amp;#039;. If the &amp;#039;&amp;#039;&amp;#039;md&amp;#039;&amp;#039;&amp;#039; command is used&lt;br /&gt;
to continue a previous calculation, then the velocities from the&lt;br /&gt;
end of the previous &amp;#039;&amp;#039;&amp;#039;md&amp;#039;&amp;#039;&amp;#039; command are used and all parameters that&lt;br /&gt;
are not specified explicitly are kept at the values of the previous&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;md&amp;#039;&amp;#039;&amp;#039; command. The parameters &amp;#039;&amp;#039;&amp;#039;tinit&amp;#039;&amp;#039;&amp;#039; and &amp;#039;&amp;#039;&amp;#039;estart&amp;#039;&amp;#039;&amp;#039; are not allowed in&lt;br /&gt;
conjunction with the &amp;#039;&amp;#039;&amp;#039;continue&amp;#039;&amp;#039;&amp;#039; option.&lt;br /&gt;
&lt;br /&gt;
If the parameter &amp;#039;&amp;#039;&amp;#039;temperature&amp;#039;&amp;#039;&amp;#039; is set to 0.0, a molecular dynamics&lt;br /&gt;
simulation at constant energy is performed. Normally, however, the&lt;br /&gt;
system is weakly coupled to a heat bath of the given &amp;#039;&amp;#039;temperature&amp;#039;&amp;#039; with&lt;br /&gt;
a time constant of &amp;#039;&amp;#039;tau&amp;#039;&amp;#039; times the time step length (Berendsen et al.,&lt;br /&gt;
1984). The &amp;#039;&amp;#039;temperature&amp;#039;&amp;#039; can either be a constant or a function of the&lt;br /&gt;
parameter &amp;#039;&amp;#039;&amp;#039;s&amp;#039;&amp;#039;&amp;#039;, which varies linearly from 0 to 1 during the time steps&lt;br /&gt;
that are performed during the execution of the &amp;#039;&amp;#039;&amp;#039;md&amp;#039;&amp;#039;&amp;#039; command, i.e.,&lt;br /&gt;
s(n) = (n - 1)/(N - 1) for step n out of a total of N time steps,&lt;br /&gt;
where N denotes the value of the parameter &amp;#039;&amp;#039;&amp;#039;steps&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
If the &amp;#039;&amp;#039;accuracy&amp;#039;&amp;#039; reference value for the accuracy of energy&lt;br /&gt;
conservation has a positive value, then the length of the integration&lt;br /&gt;
time step will be adapted during the molecular dynamics simulation&lt;br /&gt;
such that the relative change of the total energy in successive&lt;br /&gt;
integration steps is close to the given &amp;#039;&amp;#039;accuracy&amp;#039;&amp;#039;. The adaption&lt;br /&gt;
of the time step length works in the same way as the temperature&lt;br /&gt;
control. The time step length corresponds to the torsional velocities,&lt;br /&gt;
and the relative change of the total (kinetic plus potential) energy&lt;br /&gt;
corresponds to the temperature. In this case, the parameter &amp;#039;&amp;#039;&amp;#039;dt&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
specifies the only initial value for the time step length.&lt;br /&gt;
&lt;br /&gt;
The van der Waals interaction pair list is updated after at most&lt;br /&gt;
&amp;#039;&amp;#039;vdwupdate&amp;#039;&amp;#039; torsion angle dynamics steps or whenever a torsion angle&lt;br /&gt;
has changed its value by more than &amp;#039;&amp;#039;angdev&amp;#039;&amp;#039; degrees since the last&lt;br /&gt;
update of the an der Waals interaction list.&lt;br /&gt;
&lt;br /&gt;
The &amp;quot;leap-frog&amp;quot; algorithm is used to perform the torsion angle&lt;br /&gt;
dynamics steps. Usually, torsional accelerations are computed on the&lt;br /&gt;
basis torsional velocity values that are linearly extrapolated from&lt;br /&gt;
those half a time-step earlier. More exact torsional acceleration&lt;br /&gt;
values that are calculated iteratively (Mathiowetz et al., 1994)&lt;br /&gt;
will be used if the option &amp;#039;&amp;#039;&amp;#039;exact&amp;#039;&amp;#039;&amp;#039; is set.&lt;br /&gt;
&lt;br /&gt;
One line of output is written every &amp;#039;&amp;#039;nprint&amp;#039;&amp;#039; time steps, giving the&lt;br /&gt;
current step, current time, potential energy (target function value),&lt;br /&gt;
kinetic energy, total energy, the root-mean-square torsion angle change&lt;br /&gt;
per time step (in degrees; averaged over all time steps since the last&lt;br /&gt;
output), the maximal torsion angle change per time step (in degrees;&lt;br /&gt;
since the last output), the number of updates of the van der Waals&lt;br /&gt;
interaction list since the last output, and the number of target&lt;br /&gt;
function evaluations since the last output. For example:&lt;br /&gt;
&lt;br /&gt;
  step     time      Epot      Ekin      Etot  rmsdev  maxdev  #up    #f&lt;br /&gt;
     0    0.000 17817.672  5776.000 23593.672                    1     1&lt;br /&gt;
   200   13.778  4367.090  7321.274 11688.363   2.842  18.576    4   204&lt;br /&gt;
   400   28.471  2896.928  6002.219  8899.147   2.763  16.301    4   206&lt;br /&gt;
   600   42.374  2464.380  6988.264  9452.645   2.330  13.941    4   200&lt;br /&gt;
   800   60.234  2496.055  6167.296  8663.351   2.815  15.211    4   200&lt;br /&gt;
  1000   76.882  1654.211  5322.900  6977.111   2.779  15.591    4   200&lt;br /&gt;
&lt;br /&gt;
Intermediate output is written only if the parameter &amp;#039;&amp;#039;&amp;#039;nprint&amp;#039;&amp;#039;&amp;#039; has a&lt;br /&gt;
positive value. All energies are measured in target function units.&lt;br /&gt;
Temperatures are measured in target function units per degree of&lt;br /&gt;
freedom.  Each rotatable torsion angle constitutes a degree of freedom.&lt;br /&gt;
&lt;br /&gt;
A warning is printed if in a single time step the value of a dihedral&lt;br /&gt;
angle changed by more than 35, and an error occurs if the change&lt;br /&gt;
exceeds 90 degrees.&lt;br /&gt;
&lt;br /&gt;
Further reading:&lt;br /&gt;
&lt;br /&gt;
* Guntert et al. J. Mol. Biol. 278, 353-378 (1997).&lt;br /&gt;
* Jain et al. J. Comput. Phys. 106, 258-268 (1993).&lt;br /&gt;
* Matthiowetz et al. Proteins 20, 227-247 (1994).&lt;br /&gt;
* Berendsen et al. J. Chem. Phys. 81, 3684-3690 (1984).&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[anneal]]&lt;br /&gt;
* [[calc_all]]&lt;/div&gt;</summary>
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