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.

congenital heart disease, directed graphs, binary adjacency matrix.

Received: May 7, 2024; Revised: July 24, 2024; Accepted: July 26, 2024; Published: September 2, 2024

How to cite this article: S. Prema and K. Nallini, Diagnosing tetralogy of Fallot in MRI via mathematical approaches, Advances and Applications in Discrete Mathematics 41(7) (2024), 551-563. https://doi.org/10.17654/0974165824036

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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