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Internet Electronic Journal of Molecular Design - IEJMD, ISSN 1538-6414, CODEN IEJMAT
ABSTRACT - Internet Electron. J. Mol. Des. June 2003, Volume 2, Number 6, 403-412

Bone Resorption Inhibition Quantitative Structure-Activity Relationships for Aryl-Substituted Bisphosphonates
Teodora Ivanciuc and Ovidiu Ivanciuc
Internet Electron. J. Mol. Des. 2003, 2, 403-412

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Abstract:
Quantitative structure-activity relationships (QSAR) models for the bone resorption inhibition of 29 aryl-substituted bisphosphonates (ABP) were established with the CODESSA program. The QSAR models for the ABP bone resorption inhibition are obtained by selecting descriptors from a wide diversity of constitutional, topological, electrostatic and quantum structural indices. Standard quantum chemistry packages are used for optimizing the molecular geometry and for semi-empirical quantum computations at the AM1 level. A heuristic algorithm selects the best multiple linear regression equation according to the highest statistical indices; the predictive power of each QSAR model is estimated with the leave-one-out (LOO) cross-validation method. For the whole set of 29 compounds, the best QSAR model (r2 = 0.8328, r2LOO = 0.7479, s2 = 0.251, F = 29.88) is obtained with four quantum descriptors (minimum total interaction for a C-P bond, maximum valency of a N atom, minimum total interaction for a C-C bond, and hydrogen-acceptors surface area). A significant improvement of the statistical indices is obtained by deleting three outliers, when a fairly good QSAR is obtained (r2 = 0.8827, r2LOO = 0.8231, s2 = 0.118, F = 39.51) also with four quantum descriptors (minimum electron-electron repulsion for a H-N bond, minimum coulombic interaction for a C-P bond, maximum one-electron reactivity index for a N atom, and minimum total interaction for a H-O bond). These results demonstrate the ability of AM1 quantum indices in modeling the bone resorption inhibition of aryl-substituted bisphosphonates.

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