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Study of capillary network directionality and irrigation of hypoxic tissue in an angiogenesis lattice model

机译：血管生成晶格模型中毛细血管网络方向性和缺氧组织灌洗的研究

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To shed light on the understanding of the angiogenesis process, we study a simplified lattice model for the capillary network formation between an existing blood vessel and an initially hypoxic tissue. We consider that the cells of the tissue surface can release growth factors that will diffuse, leading to the formation of new capillaries that ultimately arrive at the tissue. Additionally, we consider the local production of growth factors by the growing capillary network.Wealso propose the existence of an inhibition mechanism at the hypoxic surface, i.e., a fixed number of neighboring sites of an already irrigated site of the hypoxic tissue stop releasing growth factors due to the arrival of nutrients. Particularly, the goal of this work is to study the effect of the release of local growth factors and the inhibition mechanism on properties such as the directionality of the growing network and the irrigation of the hypoxic tissue. Therefore we propose the quantification of these two relevant features for angiogenesis modeling. We establish a relationship between the model behavior without the release of local growth factors in the presence of the inhibition mechanism and a normal angiogenesis process. In this situation, the model gives a directional capillary network and a good irrigation of the hypoxic tissue. On the other hand, for a large number of released local growth factors in the absence of the inhibition mechanism, the model could be appropriate for the description of tumor angiogenesis. In this case, the model provides a rather small directionality for the growing structure, with a worse degree of irrigation of the hypoxic tissue, as well as a more tortuous capillary network with many closed branches and loops.
机译：为了阐明对血管生成过程的了解，我们研究了现有血管和初始缺氧组织之间毛细血管网络形成的简化晶格模型。我们认为组织表面的细胞可以释放会扩散的生长因子，从而导致新的毛细血管的形成，最终到达组织。此外，我们考虑了生长中的毛细血管网对生长因子的局部产生。我们还提出了在低氧表面存在抑制机制的方法，即，缺氧组织已被灌溉的部位中一定数量的邻近部位会停止释放生长因子。由于营养物质的到来。特别地，这项工作的目的是研究局部生长因子的释放和抑制机制对诸如生长网络的方向性和缺氧组织的冲洗等特性的影响。因此，我们提出了对血管生成模型这两个相关特征的量化。我们建立了在不存在抑制机制的情况下不释放局部生长因子的模型行为与正常血管生成过程之间的关系。在这种情况下，该模型提供了定向毛细血管网络和对缺氧组织的良好冲洗。另一方面，对于没有抑制机制的大量释放的局部生长因子，该模型可能适合描述肿瘤血管生成。在这种情况下，该模型为生长的结构提供了相当小的方向性，缺氧组织的冲洗程度更差，并且毛细血管网络更加曲折，有许多闭合的分支和回路。

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