Detour Cum Distance Matrix Based Topological Descriptors for QSAR/QSPR Part-I: Development and Evaluation
Monika Gupta, Harish Jangra, Prasad V. Bharatam and Anil K. Madan
Affiliation: Faculty of Pharmaceutical Sciences, Pt. B. D. Sharma University of Health Sciences, Rohtak – 124 001, India.
The structure of the compound depends on connectivity of its constituent atoms. Topological descriptors based
on connectivity can reveal the role of structural and substructural information of molecules in estimating biological activity.
The present study involves conceptualization of six detour cum distance matrix based topological descriptors (TDs)
termed as relative distance sum descriptors and relative distance product descriptors (denoted by
) as well as their topochemical versions (denoted by
S2RPc ). The proposed
descriptors have been specifically designed to take care of the molecules containing cyclic substituents. An inhouse
computer program was utilized to compute the values of the proposed TDs for all possible four, five and six membered
hydrogen depleted structures. Proposed TDs were assessed for similarity analysis, intercorrelation, degeneracy, discriminating
power, and sensitivity towards branching apart from relative position of substituent in molecules containing
cyclic moieties. The said TDs exhibited negligible degeneracy, high sensitivity towards branching/relative position of
substituent(s) in cyclic structures amalgamated with exceptionally high discriminating power. The above mentioned attributes
provide proposed descriptors a huge potential for use in characterization of molecules, lead identification/
optimization, combinatorial library prototype, dissimilarity/similarity studies and (Q)SAR/QSPR/QSTR/QSPkR studies
so as to facilitate drug design. This has been further supported by application of the proposed descriptors on the real
dataset in the part-II of the manuscript.
Keywords: Balaban's index, Molecular connectivity index, Relative distance product descriptors, Relative distance sum descriptors,
Topological descriptors, Wiener’s index.
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