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关于树枝状大分子基于偏心率的熵测度

On eccentricity-based entropy measures for dendrimers.

作者信息

Huang Rongbing, Siddiqui Muhammad Kamran, Manzoor Shazia, Ahmad Sarfraz, Cancan Murat

机构信息

School of Computer Science Chengdu University, Chengdu, China.

Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan.

出版信息

Heliyon. 2021 Aug 16;7(8):e07762. doi: 10.1016/j.heliyon.2021.e07762. eCollection 2021 Aug.

Abstract

The eccentricity-based entropy inspired by Shannon's entropy approach is the information-theoretic quantity to figure out the structural information of complex networks. The investigation for advance biomedical utilization of dendrimers has improved the synthesis of radical based molecules. Categorically, attaining radical dendrimers has initiated their use in different fields such as anti-tumor agents and as magnetic resonance imaging. The use of radical dendrimers has increased the possibility of establishing new kinds of devices based on para-magnetic axioms of organic radicals. In this article, we discussed dendrimer based on cyclotriphosphazene ( ) which has balanced edge groups and these are examined by EPR temperature spectrum. Firstly, we computed eccentricity-based indices and then we computed eccentricity based entropies by developing an acquaintance between these indices and their entropies. Moreover we presented our computed result numerically and graphically which leads to good importance of our contribution.

摘要

受香农熵方法启发的基于偏心率的熵是一种信息论量,用于揭示复杂网络的结构信息。对树枝状大分子在生物医学方面的进一步应用研究推动了基于自由基分子的合成。具体而言,获得自由基树枝状大分子已使其在不同领域得到应用,如作为抗肿瘤药物和磁共振成像。自由基树枝状大分子的使用增加了基于有机自由基顺磁原理建立新型装置的可能性。在本文中,我们讨论了基于环三磷腈的树枝状大分子( ),其具有平衡的边缘基团,并通过电子顺磁共振温度谱对其进行了研究。首先,我们计算了基于偏心率的指标,然后通过建立这些指标与其熵之间的关系来计算基于偏心率的熵。此外,我们以数值和图形方式展示了计算结果,这凸显了我们贡献的重要性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c795/8379466/8e947629beaa/gr001.jpg

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