Ravi Vignesh, Chidambaram Natarajan
Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed to be University, Thanjavur, Tamil Nadu, 613 401, India.
Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, Tamil Nadu, 612 001, India.
Sci Rep. 2025 May 15;15(1):16941. doi: 10.1038/s41598-025-00898-3.
Topological indices are invariant quantitative metrics associated with a molecular graph, which characterize the bonding topology of a molecule. The main aim of analyzing topological indices is to summarize and transform chemical structural information, thus creating a mathematical relationship between structures and their physico-chemical properties, biological activities, and other experimental characteristics. Quantitative Structure-Property Relationships (QSPR) and Quantitative Structure-Activity Relationships (QSAR) utilize topological indices to correlate diverse molecular properties, including physico-chemical, thermodynamic, chemical, and biological activities, with their chemical structures. Parkinson's disease is marked by persistent psychosis due to cognitive deficits. Extended compliance with medication and therapy generally reduces symptoms. Factors such as solubility, metabolic stability, toxicity, permeability, and transporter interactions significantly impact the efficacy of drug design and are dependent on the physical and chemical properties involved. Computational tools for the discovery and development of medications for Parkinson's disease have recently gained prominence. Various methods evaluate therapeutic efficacy and adverse effects utilizing machine learning techniques. Further research has utilized computer simulations to explore the molecular mechanisms of the disease and to identify new therapeutic targets. This research investigates the predictive capacity of nine physico-chemical and thirteen pharmacokinetic parameters (ADMET) by utilizing both open and closed neighborhood degree-sum-based descriptors for twelve drugs used in the treatment of Parkinson's disease. The study employs linear, quadratic, cubic, and multiple linear regression models. A comparative analysis is conducted using several well-known degree-based indices alongside the selected open and closed neighborhood degree-sum-based indices within both univariate and multivariate regression methodologies.
拓扑指数是与分子图相关的不变量化指标,它表征了分子的键合拓扑结构。分析拓扑指数的主要目的是总结和转换化学结构信息,从而建立结构与其物理化学性质、生物活性及其他实验特征之间的数学关系。定量结构-性质关系(QSPR)和定量结构-活性关系(QSAR)利用拓扑指数将包括物理化学、热力学、化学和生物活性在内的各种分子性质与其化学结构相关联。帕金森病的特征是由于认知缺陷导致的持续性精神病。持续遵医嘱服药和接受治疗通常可减轻症状。溶解度、代谢稳定性、毒性、渗透性和转运体相互作用等因素对药物设计的疗效有显著影响,且取决于所涉及的物理和化学性质。用于帕金森病药物发现和开发的计算工具最近受到了广泛关注。各种方法利用机器学习技术评估治疗效果和不良反应。进一步的研究利用计算机模拟来探索该疾病的分子机制并确定新的治疗靶点。本研究通过使用基于开放和封闭邻域度和的描述符,研究了用于治疗帕金森病的12种药物的9个物理化学参数和13个药代动力学参数(ADMET)的预测能力。该研究采用了线性、二次、三次和多元线性回归模型。在单变量和多变量回归方法中,使用几个著名的基于度的指数以及选定的基于开放和封闭邻域度和的指数进行了比较分析。