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Updated: Sep 17, 2025

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Published on: June 20, 2025
A graph-based computational approach for modeling physicochemical properties in drug design
Ibrahim Al-Dayel1, Meraj Ali Khan1, Muhammad Faisal Hanif2
1Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, 11566, Riyadh, Saudi Arabia.
Mathematical models predict drug properties like boiling point and stability using molecular structure. Quadratic models showed superior accuracy for antibiotics and neuropathic drugs, aiding drug development.
Area of Science:
- Medicinal Chemistry
- Computational Chemistry
- Pharmacology
Background:
- Physicochemical properties dictate drug stability, bioavailability, and therapeutic efficacy.
- Understanding structure-property relationships is crucial for drug design and development.
Purpose of the Study:
- To predict key physicochemical properties of antibiotics and neuropathic drugs using mathematical modeling.
- To explore the utility of quantitative structure-property relationship (QSPR) analysis for drug optimization.
Main Methods:
- Utilized modified degree-based topological indices as molecular descriptors.
- Employed linear and quadratic regression models for quantitative structure-property relationship (QSPR) analysis.
- Predicted physicochemical properties including boiling point, enthalpy of vaporization, flash point, and molar refraction.
Main Results:
- Quadratic regression models demonstrated superior predictive performance compared to linear models for most properties.
- High R-squared values and low error margins indicated excellent model accuracy.
- Topological descriptors effectively correlated molecular structure with physicochemical properties.
Conclusions:
- Mathematical modeling and QSPR analysis, particularly with quadratic models, are powerful tools for predicting drug physicochemical properties.
- Topological descriptors offer a valuable approach for early-stage drug screening and optimization.
- This methodology can accelerate the development of effective antibiotics and neuropathic drugs.
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