Life sciences · Journal article
Discrete Mathematics Algorithms and Applications · September 8, 2026
Raises a question worth testing. It does not answer one.
This is a mathematical and computational study that applies graph-theoretic methods (metric dimension and metric bases) to the molecular structures of seven tyrosine kinase inhibitors. The work is exploratory in nature and proposes that structural graph analysis may inform computational drug discovery and combination therapy modelling, but it does not test efficacy, validate predictions against biological or clinical outcomes, or provide data on drug function.
Journal article.
Metric dimension and metric bases were determined for molecular graphs of seven TKIs: Sunitinib, Sorafenib, Axitinib, Regorafenib, Cabozantinib, Pazopanib and Lenvatinib The authors propose that metric bases can be used to study structural distinguishability for applications in cheminformatics, drug repurposing, molecular categorization, and combination therapy modelling
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A mathematical graph-theoretic analysis of TKI molecular structures that raises questions about structural characterization for drug discovery but does not test clinical efficacy or generate empirical biological data.
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Tyrosine kinase inhibitors (TKIs) are a type of targeted cancer drugs that work by blocking particular pathways that promote angiogenesis and tumour growth. Although the biochemical mechanisms of TKIs have been well studied, further understanding of their complexity, classification, and possible combinatorial behaviour can be gained by structural graph-theoretic research. In this study, we determine the metric dimension and all possible metric bases of molecular graphs corresponding to selected TKIs such as Sunitinib, Sorafenib, Axitinib, Regorafenib, Cabozantinib, Pazopanib and Lenvatinib. By identifying the metric bases of these molecular structures, we may investigate how structural distinguishability can be used in cheminformatics methods to drug repurposing, molecular categorization, and combination therapy modelling. While the real-world chemical information by considering atoms and bonds as discrete vertices and edges can be simplified by molecular graphs, the analysis of them remains useful in computational drug discovery. This work enables more research at the intersection of discrete mathematics and biomedical science and helps in mathematical characterization of anti-cancer drugs.
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