Numerical simulations of angiogenesis in the cornea.
Numerical simulations of angiogenesis in the cornea.
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DOI：
10.1006/mvre.2000.2282
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发表时间：
2001
影响因子：
3.1
通讯作者：
Sheng Tong;Fan Yuan
中科院分区：
文献类型：
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作者：
Sheng Tong;Fan Yuan
血管生成在机体的许多生理和病理过程中起着重要作用。为了了解血管生成的机制，我们开发了一个数学模型，用于定量分析血管生成中涉及的各种生物事件。我们的模型集中在角膜的二维血管生成。该模型考虑了血管生成因子的扩散、内皮细胞对这些因子的摄取以及芽形成速率和芽生长方向的随机性。我们的模拟结果表明，血管生成过程中血管生成因子的重新分布和摄取对血管网络的结构有显着的影响。摄取率的降低导致血管密度、自环形成和血管网络的前沿迁移速度增加。芽形成方向的随机性决定了血管的曲率，而从血管段芽形成的概率对血管网络中的血管总数有显着影响。在数值模拟中生成的血管网络与实验观察到的相似。本研究所建立的数学模型可用于评估单个因素对血管生成的影响，了解血管生成过程中不同因素之间的相互作用机制，并生成实验可验证的假设。
Angiogenesis plays important roles in many physiologic and pathologic processes in the body. To understand mechanisms of angiogenesis, we developed a mathematical model for quantitative analysis of various biological events involved in angiogenesis. Our model was focused on two-dimensional angiogenesis in the cornea. The model considered diffusion of angiogenic factors, uptake of these factors by endothelial cells, and randomness in the rate of sprout formation and the direction of sprout growth. Our simulation results indicated that redistribution and uptake of angiogenic factors during angiogenesis had significant effects on the structure of vascular networks. A decrease in the uptake rate resulted in increases in vessel density, self-loop formation, and front migration speed of vascular networks. The randomness in the direction of sprout formation determined the curvature of vessels, whereas the probability of sprout formation from a vessel segment had a significant effect on the total number of vessels in vascular networks. The vascular networks generated in numerical simulations were similar to those observed experimentally. The mathematical model developed in this study can be used to evaluate effects of individual factors on angiogenesis, understand mechanisms of interactions among different factors during angiogenesis, and generate experimentally testable hypotheses.