<p>In cheminformatics, topological indices serve as essential descriptors in quantitative structure–property relationship (QSPR) modeling to estimate molecular characteristics of pharmaceutical compounds. This work investigates the predictive capabilities of degree-based and neighborhood degree-based topological indices through established M-polynomial and NM-polynomial techniques on a set of nine cardiovascular antihypertensive agents. Linear regression models revealed statistically significant correlations between selected indices and key physicochemical properties. Notably, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12668_2025_2088_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(TMH\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">TMH</mi> </mrow> </math></EquationSource> </InlineEquation> showed robust predictive strength for boiling point (<i>r</i> = 0.8358), enthalpy (<i>r</i> = 0.8618), and flash point (<i>r</i> = 0.8357), while the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12668_2025_2088_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(H\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>H</mi> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12668_2025_2088_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="37" /> </InlineMediaObject> <EquationSource Format="TEX">\({ND}_{5}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="italic">ND</mi> </mrow> <mn>5</mn> </msub> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12668_2025_2088_Article_IEq4.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\({M}_{2}^{m}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>M</mi> <mrow> <mn>2</mn> </mrow> <mi>m</mi> </msubsup> </math></EquationSource> </InlineEquation> indices yielded near-perfect correlations with molar refractivity (<i>r</i> = 0.9977), polarizability (<i>r</i> = 0.9976), and molar volume (<i>r</i> = 0.9915), respectively. These findings confirm the utility of select topological indices in capturing structure–property relationships. These results demonstrate the potential of degree-based topological descriptors as reliable predictive tools in cheminformatics-driven QSPR/QSAR modeling, offering a robust and cost-effective approach for early-stage computational drug evaluation.</p> Graphical abstract <p></p>

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Degree-Based Topological Indices for QSPR/QSAR Modelling of Cardiovascular Antihypertensive Agents Using Statistical Regression Techniques

  • Pradeepa A,
  • Arathi P

摘要

In cheminformatics, topological indices serve as essential descriptors in quantitative structure–property relationship (QSPR) modeling to estimate molecular characteristics of pharmaceutical compounds. This work investigates the predictive capabilities of degree-based and neighborhood degree-based topological indices through established M-polynomial and NM-polynomial techniques on a set of nine cardiovascular antihypertensive agents. Linear regression models revealed statistically significant correlations between selected indices and key physicochemical properties. Notably, \(TMH\) TMH showed robust predictive strength for boiling point (r = 0.8358), enthalpy (r = 0.8618), and flash point (r = 0.8357), while the \(H\) H , \({ND}_{5}\) ND 5 , and \({M}_{2}^{m}\) M 2 m indices yielded near-perfect correlations with molar refractivity (r = 0.9977), polarizability (r = 0.9976), and molar volume (r = 0.9915), respectively. These findings confirm the utility of select topological indices in capturing structure–property relationships. These results demonstrate the potential of degree-based topological descriptors as reliable predictive tools in cheminformatics-driven QSPR/QSAR modeling, offering a robust and cost-effective approach for early-stage computational drug evaluation.

Graphical abstract