DIAGNOSING TETRALOGY OF FALLOT IN MRI VIA MATHEMATICAL APPROACH

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, 2024Revised: July 24, 2024Accepted: July 26, 2024

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Publication Details

Journal
Advances and Applications in Discrete Mathematics
Published
2024-09-02
DOI
https://doi.org/10.17654/0974165824036
Primary Topic
Congenital Heart Disease Studies
Type
article
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article

DIAGNOSING TETRALOGY OF FALLOT IN MRI VIA MATHEMATICAL APPROACH

S. Prema, K. Nallini
Advances and Applications in Discrete Mathematics
Congenital Heart Disease Studies
article

DIAGNOSING TETRALOGY OF FALLOT IN MRI VIA MATHEMATICAL APPROACH

S. Prema, K. Nallini
article en

Abstract

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, 2024Revised: July 24, 2024Accepted: July 26, 2024

Advances and Applications in Discrete MathematicsVol. 41(7)
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Congenital Heart Disease Studies
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