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This study computes M-polynomial indices for Daunorubicin, an anthracycline antibiotic, is a potent anticancer agent used in treating various malignancies, including acute myeloid leukemia, acute lymphoblastic leukemia and breast cancer. We calculated M-polynomial indices using the edge partition of graphs based on degree and adjacency matrix. A Python code is developed based on an adjacency matrix to efficiently compute the indices that reduce calculation time from days to minutes and eliminate human error. Quantitative structure-property relationships are established using Multiple Linear, Ridge, Lasso, ElasticNet and Support Vector Regression in Python software to predict breast cancer drugs' physical properties. Our results demonstrate that M-polynomial indices accurately predict physical properties, providing valuable insights into structural requirements for optimal anticancer activity. Additionally, we proposed the models against each physical property. This research facilitates the design of novel cancer therapeutics and enables the prediction of physical properties for uncharacterized drugs.
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http://dx.doi.org/10.1038/s41598-025-07067-6 | DOI Listing |
Front Chem
August 2025
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India.
Perovskite material has gained popularity and attracted much attention in recent years. Calcium Titanium Oxide is a perovskite crystal structure, which has the molecular formula , widely employed in geosciences, electronic ceramic materials, and radioactive waste immobilization. The powerful mathematical tool called topological descriptors or index is used to analyze perovskite.
View Article and Find Full Text PDFSci Rep
August 2025
Chemistry Unit, Division of Physical and Natural Sciences, University of the Gambia, Serrekunda, Gambia.
This study computes M-polynomial indices for Daunorubicin, an anthracycline antibiotic, is a potent anticancer agent used in treating various malignancies, including acute myeloid leukemia, acute lymphoblastic leukemia and breast cancer. We calculated M-polynomial indices using the edge partition of graphs based on degree and adjacency matrix. A Python code is developed based on an adjacency matrix to efficiently compute the indices that reduce calculation time from days to minutes and eliminate human error.
View Article and Find Full Text PDFSci Rep
August 2025
Department of Mathematical Sciences, Faculty of Science, Somali National University, Mogadishu Campus, Mogadishu, Somalia.
Dextran and chitosan, two natural polysaccharides, are recognized for their biocompatibility, biodegradability, and structural adaptability. Dextran, composed of glucose units with predominant α-(1→6) linkages, exhibits flexible conformations influenced by branching and molecular weight. Chitosan, derived from chitin via deacetylation, consists of β-(1→4)-linked D-glucosamine units and displays semi-crystalline behavior sensitive to pH and ionic conditions.
View Article and Find Full Text PDFJ Mol Graph Model
May 2025
Department of Mathematics & Actuarial Science, B. S. Abdur Rahman Crescent Institute of Science and Technology, Chennai, Tamil Nadu, 600048, India. Electronic address:
Topological indices are numerical invariants that provide key insights into the structural properties of molecular graphs and are crucial in predicting physio-chemical and biological activities. This paper applies established computational methodologies for analyzing benzenoid networks and their application to polycyclic aromatic hydrocarbons (PAHs) through degree-based topological indices computed via M-polynomial and NM-polynomial approaches. By examining tessellations, including linear chain, hexagonal, rhomboidal, and triangular configurations alongside their line graphs, this work highlights the influence of molecular topology on biological activity.
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November 2024
Department of Mathematics and Statistics, Njala University, Freetown, Sierra Leone.