Overlapping steric volume

Another QSAR study utilizing 14 flavonoid derivatives in the training set and 5 flavonoid derivatives in the test set was performed by Moon et al. (211) using both multiple linear regression analysis and neural networks. Both statistical methods identified that the Hammett constant a, the HOMO energy, the non-overlap steric volume, the partial charge of C3 carbon atom, and the HOMO -coefficient of C3, C3, and C4 carbon atoms of flavonoids play an important role in inhibitory activity (Eqs. 3-5, Table 5). 

A general theory of quantitatively comparing molecular shapes using common overlap steric volume(33-36) and, more recently, descriptors derived from superimposed molecular potential energy fields of pairs of molecules(37) has been derived and tested. This theory allows a "marriage between Hansch analysis and conformational analysis. 

Two arbitrary functions of the common overlap steric volume were also introduced as alternative molecular shape descriptors ... 

W [(Vy n Vy) - Mo i,j)] + (1 - w) Mp i,j) where Mo(i, /) and Mp(i, j) are the common overlap steric volume and the integrated spatial difference in field potential, and w is a weighting factor between zero and one. The two descriptors are considered complementary in the sense that the overlap volume measures the shape within the van der Waals surface formed by superimposition of i and j, while ISDFP measures the shape outside the van der Waals surface. 

The most common steric descriptors are - molar refractivity, -> surface areas and several - volume descriptors such as molecular volume. Other steric descriptors are -> steric interaction fields, MTD descriptors, -> common overlap steric volume, and several topological descriptors accounting for both size and - molecular branching. Other popular molecular steric descriptors are listed below. 

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