Statistical Assessment of the Impact of Coronary Geometry on their Functionality Open Access

She, Qinyi (2017)

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Coronary artery disease has become a prevalent cause of death globally. Studies have shown that the hemodynamics within arteries are strongly correlated with vascular geometry. This paper combines numerical analysis and statistical analysis to investigate the impact of curvatures of coronary arteries' centerline on their functionality, which is measured by Fractional Flow Reserve (FFR), on a data set of 12 patients affected by coronary artery disease. The project involves a pipeline of algorithms to process the data including image segmentation that reconstructs vascular network from image data, centerline computation that calculates the spatial coordinates of vessel centerline, free knot regression spline for curvature estimation, and correlation analysis that applies a random effects model. A negative correlation was found between estimated curvatures and FFR, though the significance level is not high enough. This insignificance in the correlation might be caused by the small data set we processed and the lack of variability elimination during preprocessing.

Table of Contents

Table of Contents

List of Figures i

1 Introduction 1 2 Image Reconstruction and Processing 6 2.1 Image Segmentation 6 2.2 Centerline Extraction 9 3 1D Free Knot Regression Spline 12 3.1 Regression Spline 12

3.2 Optimal Knots Search 14

4 Data and Model 17 5 Correlation Analysis 20 6 Results and Discussion 22 References 27

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