Electrostatic potential
The electrostatic potential can be visualized via VMD by running
the pot.vmd script
in VMD:
The result should be the rather uninteresting potential isosurface:
which can be adjusted via the
->
menu item.
Charge density
The charge density for the DNA is much more interesting than the
electrostatic potential. The first step in our analysis will be to
plot the average radial density around the DNA using the Python script
density.
This script can then be used to process the volume-based density file
qdens.dx produced by our earlier APBS run:
$ python density qdens.dx | tee qdens.dat
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The result of this command will be 3 columns of data (on the screen
and written to
qdens.dat): the radius (in
A), the charge density at the given radius averaged over all
angles and displacements along the center of the cylinder (+/- 10
A)
(in e
c A
-3),
and the cumulative charge density per unit distance along the DNA
molecule
(in e
c A
-2).
This averaging is performed over the center of the DNA cylinder to
avoid well-known "end effects".
The overall charge density profile can be visualized by starting
Gnuplot:
and typing the following commands within Gnuplot:
gnuplot> set xlabel "Radius (A)"
gnuplot> set ylabel "Charge density (e/A^3)"
gnuplot> plot 'qdens.dat' using 1:2 title 'Charge density' with linespoints
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The resulting plot shows the distribution of ions around the DNA
molecule. The cumulative charge density can also be plotted by:
gnuplot> set ylabel "Cumulative charge density per length (e/A^2)"
gnuplot> plot 'qdens.dat' using 1:3 title 'Charge density' with linespoints
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When you are done with Gnuplot, simply exit by typing
quit at the prompt.
The results of these calculations are very sensitive to grid spacing
and boundary conditions; this is mainly why the PB solution appears to
be over-screening the DNA molecule.
The charge distribution can also be visualized with VMD by downloading
qdens.vmd and
running:
You can translate the DNA molecule towards you by clicking in the VMD
OpenGL window and typing 't' and holding down the middle mouse button
while dragging. By doing this, you can cut through the charge density
isosurfaces and get a better look at how the salt is arranged around the
DNA. Additionally, you can modify the isocontour values
(-> menu item)
to examine regions of different salt concetration. The result of all
this manipulation should look something like the following image: