Applications of computational homology to medical imaging analysis

我们演示了计算同调理论在医学成像分析中的应用，实现了评估松质骨三维结构连通性的数学软件。通过使用本软件对兔肌腱移植模型的高分辨率显微CT数据进行研究，我们表征了通过给予治疗药物来预防骨隧道扩大的作用。根据骨小梁3D结构的数据计算出的3D Betti数，药物组和对照组明显不同。

We demonstrated the applications of computational homology theory to medical imaging analysis implementing the mathematical software to evaluate the connectivity of trabecular bone 3D structure. By investigating the high resolution micro CT data of tendon graft model in rabbits using our software, we characterized the prevention of bone-tunnel enlargement through the administration of therapeutic drugs. The drug and control groups are significantly separated with respect to the 3D Betti numbers computed from the data of trabecular bone 3D structures.