Schreiner W, Neumann F, Neumann M, End A, Müller M R
Department of Medical Computer Sciences, University of Vienna, Austria.
J Theor Biol. 1996 May 21;180(2):161-74. doi: 10.1006/jtbi.1996.0092.
Arterial tree models are generated by Constrained Constructive Optimization according to minimum intravascular volume. These models, which have been shown to adequately reproduce pressure profiles and branching angles, are analysed topologically and geometrically in order to investigate how structure influences the functional capabilities. Therefore, the number of bifurcation levels and STRAHLER orders was evaluated for the complete trees as well as for subtrees of all possible sizes. Bifurcation symmetry, being a particular aspect of structure, was found to be higher in the smaller than in the larger subtrees. This confirms a more delivering type of function for the small subtrees, as expected from intuitive arguments. Conversely, lower symmetry in larger subtrees relates to their conveying type of function. Moreover, different shapes of the tissue to be perfused lead to different symmetry properties of optimized tree models.
动脉树模型是通过约束构造优化根据最小血管内体积生成的。这些模型已被证明能够充分再现压力分布和分支角度，为了研究结构如何影响功能能力，对其进行了拓扑和几何分析。因此，评估了完整树以及所有可能大小的子树的分叉层数和斯特拉勒阶数。分叉对称性作为结构的一个特殊方面，被发现在较小的子树中比在较大的子树中更高。正如直观论证所预期的那样，这证实了较小子树具有更强的输送功能。相反，较大子树中较低的对称性与其输送功能类型相关。此外，待灌注组织形状的不同会导致优化树模型具有不同的对称特性。
