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Abstract：
This review utilizes an optimized Rouse-Zimm discrete hydrodynamic model and the preaveraged Oseen tensor, which accurately consider hydrodynamic interactions to study model dendrimers. We report the analytical theories that have been previously developed for the creation of generalized analytical models for dendrimers. These generalized theories were used to assess the conformational and dynamical behavior of the dendrimers. By including stiffness in the bonds, the neglect of excluded volume interactions may be somewhat offset. This is true at least in the case of short spacers. While the topological limitations on the directions and orientations of the individual bond vectors in dendrimers implement semiflexibility, the intensity of these contacts was determined by the potential geometric orientations of the bonds, and later on the excluded volume interactions in dendrimers, which were described in terms of the effective co-volume between nearest non-bonded monomers and modeled using the delta function pseudopotential. With the aid of the models developed, the authors condensed various conformational and dynamic properties of dendrimers that depend on their degree of semiflexibility and the strength of the excluded volume. These analyses came to the conclusion that the flexible dendrimer in one limit and the earlier described freely rotating model of dendrimers in the other constitute a highly generalized way of capturing a wide range of conformations in the developed mathematical model in dendrimers.
摘要：
这篇综述利用了优化的Rouse-Zimm离散流体动力学模型和预平均Oseen张量，其中准确地考虑了流体动力学相互作用来研究模型树枝状聚合物。我们报告了先前为创建树枝状聚合物的广义分析模型而开发的分析理论。这些广义理论用于评估树枝状聚合物的构象和动力学行为。通过在键中包括刚度，对排除的体积相互作用的忽视可能会有所抵消。这至少在短间隔件的情况下是正确的。虽然树枝状聚合物中单个键向量的方向和取向的拓扑限制实现了半柔性，这些接触的强度由键的潜在几何取向决定，以及后来在树枝状聚合物中排除的体积相互作用，根据最近的非键合单体之间的有效共体积进行描述，并使用δ函数伪势进行建模。借助开发的模型，作者总结了树枝状聚合物的各种构象和动态特性，这些特性取决于它们的半柔性程度和排除体积的强度。这些分析得出的结论是，一个极限中的柔性树枝状聚合物和另一个极限中的先前描述的树枝状聚合物的自由旋转模型构成了在树枝状聚合物中开发的数学模型中捕获各种构象的高度广义的方式。
