Electrostatic potentials and solvation energies in YASARA
YASARA provides various ways to visualize electrostatic potentials
(ESPs) and calculate solvation energies. They are based on two very different approaches:
The Particle Mesh Ewald approach (PME) uses the reciprocal space part of Ewald summation to obtain the smoothed electrostatic potential in vacuo, without singularities and short-range noise[1]. The left column of figure 1 shows the resulting long-ranged PME potentials around the enzyme SOD (superoxide dismutase), where an electropositive channel (shown in blue) leads to the active site to help capture the superoxide anions.
The Poisson-Boltzmann approach (PBS) uses a customized version of the APBS program[2] to solve the Poisson-Boltzmann equation, yielding the electrostatic potential with implicit solvent and counter ions. Compared to PME, the PBS potential shows more short-range details (right column in figure 1).
Each of the two electrostatic potential types can be visualized in a number of different ways:
The styles Density and Points (first two rows in figure 1) visualize the ESP at each point on a grid, using either transparent or opaque dots.
The Contour style consists of two surfaces, first a contour of the regions with a certain negative potential (red), and second a contour of the regions with a certain positive potential (blue).
The Surface style is the most common one, it simply colors a surface of the protein as a function of the ESP at each surface point. Van der Waals, molecular or solvent accessible surfaces can be chosen.
Finally, solvation energies can be calculated in three different ways:
A very fast empirical approximation (fraction of a second).
A fast PME-based boundary element approach (one second).
A slow PBS-based calculation with APBS[2] (many seconds).
R E F E R E N C E S
[1] Fast empirical pKa prediction by Ewald summation Krieger E, Nielsen JE, Spronk CA, Vriend G (2006) J.Mol.Graph.Model.25,481-486 [2] Electrostatics of nanosystems: application to microtubules and the ribosome Baker NA, Sept D, Joseph S, Holst MJ, McCammon JA (2001) Proc.Natl.Acad.Sci.USA98, 10037-10041
Figure
1: The electrostatic potential around superoxide dismutase, visualized using various calculation methods and graphics styles.
Figure 2
: Screen recording of YASARA's interactive electrostatics tutorial. A higher quality version can be
watched at YouTube
, click on 'Watch in high quality' below the video. Since YASARA creates these animations in real-time using OpenGL,
simply download the corresponding macro (GNU GPL licensed) from the YASARA movie page
to watch it in highest resolution with up to 60 frames per second.