Statistical Assessment of the Impact of Coronary Geometry on their Functionality Öffentlichkeit

Abstract

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

About this Honors Thesis

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School	Emory College
Department	Mathematics
Degree	BS
Submission	Honors Thesis
Language	English
Research Field	Applied Mathematics Statistics
Stichwort	Coronary Artery Free Knot Regression Spline Vascular Geometry Vascular Modeling Toolkit
Committee Chair / Thesis Advisor	Veneziani, Alessandro, Emory University
Committee Members	Chen, Yunxiao , Emory University Ettinger, Bree, Emory University

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