Sprouting Angiogenesis: A Numerical Approach with Experimental Validation

Sprouting Angiogenesis: A Numerical Approach with Experimental Validation
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发芽血管生成:一种经过实验验证的数值方法

DOI:
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发表时间:
2020
影响因子:
3.8
通讯作者:
R. N. Natal Jorge
R. N. Natal Jorge
中科院分区:
工程技术2区
文献类型:
--
作者:
A. Guerra;J. Belinha;N. Mangır;S. MacNeil;R. N. Natal Jorge

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血管网络的功能对伤口的正确愈合至关重要。在新生血管生成过程中,血管内皮生长因子(VEGF)调节原有血管中新毛细血管的形成。这是一个非常复杂的过程,数学公式允许使用更少耗时、可重复和更便宜的方法来研究血管生成。本研究旨在模拟VEGF在刺激发芽血管生成中的趋化作用。我们开发了一个数值模型,其中内皮细胞根据VEGF的扩散反应方程迁移。采用鸡毛囊尿囊膜(CAM)生物测定法获得了一些重要的参数,并对数值结果进行了验证。我们证实内皮细胞在最高VEGF浓度下迁移。我们比较了用计算机和体内方法得到的参数——总分支数、总血管长度和分支角度,得到了相似的结果(p值小于0.5;n = 6)。对于使用两种方法评估的总毛细管体积分数之间的差异,获得的值小于15%。在这项研究中,我们首次模拟了CAM实验中获得的具有真实形态和结构的毛细血管网络。
A functional vascular network is essential to the correct wound healing. In sprouting angiogenesis, vascular endothelial growth factor (VEGF) regulates the formation of new capillaries from pre-existing vessels. This is a very complex process and mathematical formulation permits to study angiogenesis using less time-consuming, reproducible and cheaper methodologies. This study aimed to mimic the chemoattractant effect of VEGF in stimulating sprouting angiogenesis. We developed a numerical model in which endothelial cells migrate according to a diffusion-reaction equation for VEGF. A chick chorioallantoic membrane (CAM) bioassay was used to obtain some important parameters to implement in the model and also to validate the numerical results. We verified that endothelial cells migrate following the highest VEGF concentration. We compared the parameters—total branching number, total vessel length and branching angle—that were obtained in the in silico and the in vivo methodologies and similar results were achieved ( p-value smaller than 0.5; n = 6). For the difference between the total capillary volume fractions assessed using both methodologies values smaller than 15% were obtained. In this study we simulated, for the first time, the capillary network obtained during the CAM assay with a realistic morphology and structure.
DOI: 10.3109/08977199609034566
发表时间: 1996
期刊: Growth factors
影响因子: 1.8
作者:
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通讯作者: A. Yoshida;B. Anand-Apte;B. Zetter
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发表时间: 2002-11-01
期刊: JOURNAL OF BIOMEDICAL MATERIALS RESEARCH
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影响因子: 2
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DOI: 10.1172/jci119069
发表时间: 1996-12-01
影响因子: 15.9
作者:
Cao, YH;Linden, P;Folkman, J
通讯作者: Folkman, J