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Commit da09a663 authored by Giovanni Bussi's avatar Giovanni Bussi
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lugano 6

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...@@ -15,10 +15,7 @@ Once this tutorial is completed students will ...@@ -15,10 +15,7 @@ Once this tutorial is completed students will
\section lugano-6b-resources Resources \section lugano-6b-resources Resources
The \tarball{lugano-6b} for this project contains the following files: The reference trajectory and other files can be obtained at XXX
- xx:
- xx:
This tutorial has been tested on v2.5 but it should also work with other versions of PLUMED. This tutorial has been tested on v2.5 but it should also work with other versions of PLUMED.
...@@ -32,10 +29,14 @@ no internal degree of freedom, and instead of a protein with a complex binding p ...@@ -32,10 +29,14 @@ no internal degree of freedom, and instead of a protein with a complex binding p
We are also assuming to know which is the proper binding site, since we can easily guess that the most stable binding will We are also assuming to know which is the proper binding site, since we can easily guess that the most stable binding will
happen on the phosphate. happen on the phosphate.
Since running these simulations on your laptop would take too long, you will be able to download Since running these simulations on your laptop would take too long, you will start
all the output files for a decently long simulation at this PATH. with the output files obtained with a decently long simulation and analyse them.
\warning The trajectory is too short (approx 20ns) to obtain converged results!
To get real numbers, please run it longer.
Before continuing, please read carefully the `plumed.dat` file since there you will find all the explanations Before continuing, please read carefully the `plumed.dat` file that was used to produce the
simulation, since there you will find all the explanations
about which variables were biased and how. about which variables were biased and how.
In case you want to do analysis with python, you can use the included `plumed_pandas.py` module, In case you want to do analysis with python, you can use the included `plumed_pandas.py` module,
...@@ -61,6 +62,17 @@ It works in this way: ...@@ -61,6 +62,17 @@ It works in this way:
As the title says, just compute the free-energy landscape as a function of the biased collective variable As the title says, just compute the free-energy landscape as a function of the biased collective variable
(namely, distance between the Mg ion and the phosphate and coordination number of the Mg ion with water oxygens). (namely, distance between the Mg ion and the phosphate and coordination number of the Mg ion with water oxygens).
You should just use \ref sum_hills with the usual options. In order to visualize the result with gnuplot
you might use something like this:
\verbatim
gnuplot> set pm3d map
gnuplot> p "fes.dat" u 1:2:3
\endverbatim
You should obtain a plot similar to this one:
\image html lugano-6b-fes.png "Free energy as a function of distance from phosphate and coordination with water"
\subsection lugano-6b-ex-2 Exercise 2: Visualizing the trajectory \subsection lugano-6b-ex-2 Exercise 2: Visualizing the trajectory
...@@ -98,10 +110,26 @@ The free energy as a function of the distance between Mg and geometric center of ...@@ -98,10 +110,26 @@ The free energy as a function of the distance between Mg and geometric center of
be used to identify the bulk region. be used to identify the bulk region.
In order to do so, normalize it adding the correct entropic term \f$ k_BT \log d^2 \f$, and find In order to do so, normalize it adding the correct entropic term \f$ k_BT \log d^2 \f$, and find
a region where the free energy is approximately constant to represent the bulk region. a region where the free energy is approximately constant to represent the bulk region.
You can for instance use the following commands in gnuplot
\verbatim
gnuplot> p "fes_dc" u 1:2 , "" u 1:($2+2.5*log($1)
\endverbatim
Below you can find reference results
\image html lugano-6b-ffdp.png "Free energy as a function of distance between Mg and phosphate"
\image html lugano-6b-ffdc.png "Free energy as a function of distance between Mg and RNA center"
\image html lugano-6b-ffcn.png "Free energy as a function of coordination between Mg and water oxygens"
Also try to compute conditional free energies:
- coordination number between Mg and water _assuming Mg is bound to phosphate_. - coordination number between Mg and water _assuming Mg is bound to phosphate_.
- coordination number between Mg and water _assuming Mg is in the bulk_. - coordination number between Mg and water _assuming Mg is in the bulk_.
A possible way to do so you can use \ref UPDATE_IF to extract portions of
trajectory such that the Mg is bound or unbound.
Below you can find reference results
\image html lugano-6b-ffUB.png "Free energy as a function of coordination between Mg and water oxygens, both for Mg bound and unbound"
\subsection lugano-6b-ex-4 Exercise 4: Standard affinity \subsection lugano-6b-ex-4 Exercise 4: Standard affinity
......
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