M. Petitjean, GEOMETRIC MOLECULAR SIMILARITY FROM VOLUME-BASED DISTANCE MINIMIZATION - APPLICATION TO SAXITOXIN AND TETRODOTOXIN, Journal of computational chemistry, 16(1), 1995, pp. 80-90
The geometric molecular dissimilarity between two molecules is defined
as the difference between the volume of their union minus the volume
of their intersection. This dissimilarity has the mathematical propert
ies of a distance. This distance is minimized under all rotations and
translations using a discrete Broyden, Fletcher, Goldfarb & Shanno (B.
F.G.S.) algorithm. The optimal geometric superimposition of saxitoxin
and tetrodotoxin is discussed. (C) 1995 by John Wiley and Sons, Inc.