伤口愈合过程中血管生成的二维数学模型

2021 IEEE 8th International Conference on Problems of Infocommunications, Science and Technology (PIC S&T) Pub Date : 2021-10-05 DOI:10.1109/PICST54195.2021.9772136

A. Kokorev, Oleg Avrunin

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引用次数: 0

摘要

本文在已有的二维模型的基础上，建立了伤口愈合过程中血管生成的二维数学模型。我们的模型考虑了以下数量:毛细血管尖端密度、化学引诱剂浓度和血管密度。该模型是连续的，由三个偏微分方程组成。将数值分析结果与一维模型分析结果及实验数据进行了比较。该模型考虑了伤口的真实形状，可以作为现有模型的改进，满足远程医疗系统的需要。

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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Two Dimensional Mathematical Model of Angiogenesis in Wound Healing

In the present work the two dimensional mathematical model of angiogenesis in wound healing was developed on the base of existing dimensional model. Our model considers the following quantities: capillary tip density, chemoattractant concentration and blood vessel density. The model is continuous and consists of three partial differential equations. The result of the numerical analysis was compared with the result of the analysis of 1D model and with experimental data. It was concluded, that our model, which allows taking into account the real shape of the wound, may serve as the improvement of the existing models and supply the needs of telemedicine systems.

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来源期刊

2021 IEEE 8th International Conference on Problems of Infocommunications, Science and Technology (PIC S&T)

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