显微镜下脑肿瘤的生长模式
Growth Patterns of Microscopic Brain Tumors
摘要：
高度恶性的脑肿瘤如多形性胶质母细胞瘤（GBM）在体外形成复杂的生长模式，其中侵袭性细胞组织在纤细的分支中。在这里，我们制定了这种增长的趋化模型。控制这种模式的一个关键因素是同型吸引力，即，侵入性细胞遵循先前探索的途径的趋势。我们从两个方面对此进行了研究：我们发现模型中存在一种内在的不稳定性，这导致了分支的形成。我们也给出了一个离散的描述为入侵区的扩展，和一个连续模型的营养供应。结果表明，强的异型趋化性和强的同型趋化性都是入侵区内分枝形成所必需的。因此，我们的模型可以提供一种方法来评估各种过程的重要性，并探索和分析不同的增长制度之间的过渡。
英文摘要：
Highly malignant brain tumors such as Glioblastoma Multiforme (GBM) form complex growth patterns in vitro in which invasive cells organize in tenuous branches. Here, we formulate a chemotaxis model for this sort of growth. A key element controlling the pattern is homotype attraction, i.e., the tendency for invasive cells to follow pathways previously explored. We investigate this in two ways: we show that there is an intrinsic instability in the model, which leads to branch formation. We also give a discrete description for the expansion of the invasive zone, and a continuum model for the nutrient supply. The results indicate that both, strong heterotype chemotaxis and strong homotype chemo-attraction are required for branch formation within the invasive zone. Our model thus can give a way to assess the importance of the various processes, and a way to explore and analyze transitions between different growth regimes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
