含koiter壳的血流动力学方程中的行波

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2023-09-25 DOI:10.1051/mmnp/2023032

Sergey Vasyutkin, Alexander Chupakhin

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引用次数: 0

摘要

我们考虑了一个由Koiter壳定义的管的一维血流动力学模型，并研究了行波解。对于这样的解，偏微分方程组被简化为一个四阶常微分方程。我们找到了一个单一的平衡点，并确定了相应的一阶微分方程系统的平衡点变化类型的条件。给出了改变平衡点类型的条件。然后，我们介绍了相对于平衡点类型的血流机制的分类。数值实验对所得结果进行了验证和分析，并考虑了不同的血流状态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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TRAVELING WAVES IN HEMODYNAMIC EQUATIONS WITH THE KOITER SHELL

We consider a one-dimensional model of hemodynamics for a tube defined by a Koiter shell, and investigate traveling wave solutions. The system of partial differential equations is reduced to a fourth-order ordinary differential equation for such solutions. We find a single equilibrium point and determine the condition for the changing type of the equilibria for the corresponding system of first-order differential equations. The conditions for changing the type of the equilibrium point are formulated. Then we introduce the classification of blood flow regimes relative to the type of the equilibrium point. Numerical experiments are carried out to confirm and analyze the obtained results, various regimes of blood flow are considered.

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.