This method takes advantage of the fact that functional imaging studies are normally presented in a highly standardized format using ubiquitously employed standard coordinate systems, and the emergence of large-scale databases, which store these information.
These contours can be used as the input to a standardized model-based analysis to establish shape and motion with respect to a standard coordinate system, similar to the Talairach coordinate system used in the brain (Mega 2005; Tang, Hojatkashani et al. 2010).
(L>0) is the period and (e_{i}) ((i=1,2)) is the standard coordinate vector.
Let (y_{1}, y_{2}, ldots, y_{m}) be the standard coordinate functions of (mathbb {R}^{m}).
Therefore, we restricted the interpolation when the height difference (distance) from the standard coordinate point was within 0.6 km.
This hypothesis was tested using an in house program projecting some of the most frequently occurring positively and negatively weighted bins on the standard coordinate space.
3D-SDAR map of the most frequently occurring bins and their projection on the standard coordinate space of the chemical structures allowed identification of a three-center toxicophore composed of two aromatic rings and an amino group.
In the last stage of the modeling process the most frequently occurring positively and negatively weighted bins were projected back to the standard coordinate space to identify structural features related to toxicity.
