All metabolic processes in living tissues are provided by the vascular system, whose functionality largely depends on its structure and topology. The paper proposes an algorithm for constructing the circulatory system based on a combination of stochastic and deterministic approaches. Analyses of the topological characteristics of arterial tree models with different values of the bifurcation exponent ([Formula: see text]) and length coefficient ([Formula: see text]) show that the maximum agreement with experimental data can be achieved only with the optimal values of both parameters (3.0 and 0.90, respectively). Application of the multiparametric optimization in conjunction with topological analysis makes it possible to quantify the biological division of the distributing and delivering vessels of a tree with a high degree of branching. The proposed approach allows both the correct spatial localization of the main arteries and the complex topology of the complete arterial system down to the capillaries to be reproduced.

中文翻译：

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重建大鼠脑动脉系统的多参数拓扑分析。

活组织中的所有代谢过程均由血管系统提供，其功能在很大程度上取决于其结构和拓扑。提出了一种基于随机和确定性方法相结合的循环系统构建算法。对具有不同分叉指数值（长度）和长度系数（长度值）的动脉树模型的拓扑特征进行分析，结果表明，只有通过最佳选择才能获得与实验数据的最大一致性。两个参数的值（分别为3.0和0.90）。多参数优化结合拓扑分析的应用使得可以量化具有高分支度的树的分布和输送容器的生物学划分。