动态肿瘤血管网络的多尺度拓扑特征
Multiscale Topology Characterises Dynamic Tumour Vascular Networks
摘要：
成像技术的进步使血管网络随时间的高分辨率3D可视化成为可能，并揭示了异常的结构特征，如扭曲和环，其量化是一个活跃的研究领域。在这里，我们展示了如何拓扑数据分析（TDA），研究“形状”的数据的数学领域，可以描述血管网络的几何，空间和时间组织。我们提出了两个拓扑透镜来研究血管系统，它捕捉固有的多尺度特征和血管连接，并超越了现有方法的单尺度分析。我们分析使用活体和超显微镜模式收集的图像，并量化三维血管网络中扭曲，循环和无血管区域（空隙）的时空变化。这种拓扑方法验证并量化了已知的定性趋势，例如响应于调节血管出芽的抗体的迂曲度和环的动态变化;此外，它量化了放射治疗对血管结构的影响。
英文摘要：
Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research. Here we showcase how topological data analysis (TDA), the mathematical field that studies `shape' of data, can characterise the geometric, spatial and temporal organisation of vascular networks. We propose two topological lenses to study vasculature, which capture inherent multi-scale features and vessel connectivity, and surpass the single scale analysis of existing methods. We analyse images collected using intravital and ultramicroscopy modalities and quantify spatio-temporal variation of twists, loops, and avascular regions (voids) in 3D vascular networks. This topological approach validates and quantifies known qualitative trends such as dynamic changes in tortuosity and loops in response to antibodies that modulate vessel sprouting; furthermore, it quantifies the effect of radiotherapy on vessel architecture.
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