Scholarlink

<p>The cardiovascular system’s hemodynamics is pivotal for tissue oxygen and nutrient delivery. However, accurately characterizing its blood flow characteristics remains a major challenge due to the complex distribution and geometry of the cardiovascular system. This study introduces a novel multi - fractal vascular tree (MFVT) model. By integrating heterogeneous fractal dimensions and scaling laws, considering vessel branching and tortuosity, the model depicts blood flow across various vessels. Formulas for blood flow rates in single vessels, fractal vessel trees, and bundles of fractal vessel trees were derived, along with the analytical expression for cardiovascular system permeability. The model’s reliability was verified via four case studies, with a maximum relative error of less than 5% between theoretical and experimental values. Sensitivity analyses showed that parameters significantly influenced blood flow. For instance, as the maximum diameter of zero-level vessels increased from 0.2 to 4&#xa0;mm, the flow rate rose notably. When the diameter ratio increased from 0.5 to 0.8, the flow rate also increased, especially at higher pressure differences. An increase in the initial length of zero-level vessels from 5 to 50&#xa0;mm led to a decrease in the flow rate. These phenomena indicate that blood flow resistance is negatively correlated with vessel diameter and positively correlated with vessel length. This work advances the mechanistic understanding of blood flow distribution and provides a computational tool for studying vascular pathologies.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A multi-fractal vascular tree model for characterizing blood flow in cardiovascular system

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月27日

查看全文
  • Jing Fu,
  • Xiawen Yang,
  • Gaoran Xu,
  • Yiwei Ding,
  • Yuanyuan Li,
  • Maochun Li,
  • Ming Yue,
  • Dengzheng Zhang,
  • Wenlong Xie,
  • Li Li,
  • Juyi Li

摘要

The cardiovascular system’s hemodynamics is pivotal for tissue oxygen and nutrient delivery. However, accurately characterizing its blood flow characteristics remains a major challenge due to the complex distribution and geometry of the cardiovascular system. This study introduces a novel multi - fractal vascular tree (MFVT) model. By integrating heterogeneous fractal dimensions and scaling laws, considering vessel branching and tortuosity, the model depicts blood flow across various vessels. Formulas for blood flow rates in single vessels, fractal vessel trees, and bundles of fractal vessel trees were derived, along with the analytical expression for cardiovascular system permeability. The model’s reliability was verified via four case studies, with a maximum relative error of less than 5% between theoretical and experimental values. Sensitivity analyses showed that parameters significantly influenced blood flow. For instance, as the maximum diameter of zero-level vessels increased from 0.2 to 4 mm, the flow rate rose notably. When the diameter ratio increased from 0.5 to 0.8, the flow rate also increased, especially at higher pressure differences. An increase in the initial length of zero-level vessels from 5 to 50 mm led to a decrease in the flow rate. These phenomena indicate that blood flow resistance is negatively correlated with vessel diameter and positively correlated with vessel length. This work advances the mechanistic understanding of blood flow distribution and provides a computational tool for studying vascular pathologies.