Abstract
In this study, we show the quantitative structure-property relationship (QSPR) for amphetamine derivatives based on neighborhood degree-based topological indices and NM-polynomials. By coupling such descriptors to both polynomial regression models and Random Forest algorithms, the ability of these two methodologies to predict different physicochemical properties (boiling point, evaporation energy, flash point, molar refractivity, surface tension, polarizability and SA) is analyzed. The modeling scheme reveals that the neighborhood-based indices carry information specific to structural complexity, connectivity and electronic characteristics important for stimulant-type molecules behaviour. cubic regression models are also found to be more capable of representing nonlinear structural relationship than quadratic ones while the efficacy and generalizability are greatly improved by extra Random Forest in particular for properties with strong dependence on molecular branching and electronic distribution. In conclusion, the results here presented confirm that NM-polynomial based descriptors effectively relate molecular topology with experimentally measurable physicochemical behavior, thus suggesting their computational use in predictive property modeling, early drug screening and cheminformatics-driven design.
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The datasets used and/or analysed during the current study available from the corresponding author on reasonable request.
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Acknowledgements
This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)(grant number IMSIU-DDRSP2601).
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Muhammad Farhan Hanif involved in the Computation, and analysis of the paper and also assent to the final adumbrate of the paper. Atef F. Hashem deals with data analysis, Computation, funding resources, and verification of calculations. Mazhar Hussain supervised the project, Envisioned it, Organized the methodology, coordinated it, found resources, and wrote the starting adumbrate of the paper. Osman Abubakar Fiidow contributed to Elevating the graphs of maple and Matlab calculations. Each author reviews and approves the final report of the work.
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Hanif, M.F., Hashem, A.F., Hussain, M. et al. On machine learning based QSPR analysis of amphetamine derivatives using regression models. Sci Rep (2026). https://doi.org/10.1038/s41598-025-34694-w
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DOI: https://doi.org/10.1038/s41598-025-34694-w


