论文标题
多尺寸拓扑表征动态肿瘤血管网络
Multiscale Topology Characterises Dynamic Tumour Vascular Networks
论文作者
论文摘要
成像技术的进步可以随着时间的流逝提供高分辨率3D可视化血管网络的可视化，并揭示了异常的结构特征，例如曲折和循环，它们的量化是一个积极的研究领域。在这里，我们展示了拓扑数据分析（TDA）如何研究数据形状的数学字段，可以表征血管网络的几何，空间和时间组织。我们提出了两个拓扑镜头来研究脉管系统，它们捕获了固有的多尺度特征和血管连接，并超过了现有方法的单一比例分析。我们分析了使用静脉内和超显微镜模态收集的图像，并量化了3D血管网络中扭曲，环和血管区域（voids）的时空变化。这种拓扑方法验证并量化了已知的定性趋势，例如响应调节血管发芽的抗体，例如曲折度的动态变化和循环。此外，它量化了放射疗法对血管结构的影响。
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.
