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DIAGNOSING TETRALOGY OF FALLOT IN MRI VIA MATHEMATICAL APPROACH
Keywords:
congenital heart disease, directed graphs, binary adjacency matrixDOI:
https://doi.org/10.17654/0974165824036Abstract
Graph theory and matrix theory can be used to construct network structure and adjacency matrices of hearts affected by Congenital Heart Disease (CHD). We propose a new method to diagnose and treat TOF (Tetralogy of Fallot), which is a CHD. The method consists of network graph construction and matrix creation by considering vertices as regions through which blood flows and edges as blood flow between regions. Hearts affected by TOF and surgically treated TOF undergoing MRI scans are taken as examples to construct directed graphs and binary adjacency matrices. The Region of Interest (ROI) is found from binary adjacency matrices and the hemodynamic parameters are measured for ROIs by Doppler ultrasound. This method may be helpful for future research on CHD.
Received: May 7, 2024
Revised: July 24, 2024
Accepted: July 26, 2024
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