肿瘤诱导的血管生成在异质介质（细胞外基质）中的随机建模

Stochastic modeling of tumor induced angiogenesis in a heterogeneous medium, the extracellular matrix.

作者信息

Amyot Franck, Small Alex, Gandjbakhche Amir H

机构信息

Lab. of Integrative & Med. Biophys., Nat. Inst. of Health, Bethesda, MD 20892, USA.

出版信息

Conf Proc IEEE Eng Med Biol Soc. 2006;2006:3146-9. doi: 10.1109/IEMBS.2006.260358.

DOI:10.1109/IEMBS.2006.260358

PMID:17946159

Abstract

Angiogenesis, the formation of blood vessels, is a process whereby capillary sprout are formed in response to external stimuli. We model the tumor induced angiogenesis on keys events such of migratory response of endothelial cells to tumor angiogenic factors and the local cell interaction with the extracellular matrix (ECM). We consider the ECM medium as a statistically inhomogeneous two-phase random medium. Numerical simulations of the model are presented. Using this model, we will compare the influence of ECM distribution on vascular network formation. By developing mathematical models of angiogenesis, we hope to provide a deeper insight into the mechanisms underlying angiogenesis.

摘要

血管生成，即血管的形成，是一个毛细血管芽在外部刺激下形成的过程。我们基于关键事件对肿瘤诱导的血管生成进行建模，比如内皮细胞对肿瘤血管生成因子的迁移反应以及局部细胞与细胞外基质（ECM）的相互作用。我们将细胞外基质介质视为统计上不均匀的两相随机介质。给出了该模型的数值模拟。使用这个模型，我们将比较细胞外基质分布对血管网络形成的影响。通过建立血管生成的数学模型，我们希望能更深入地了解血管生成背后的机制。