Abstract
This paper presents a mathematical model of measuring blood flow based on electromagnetic induction for predicting the rate of arterial stenosis. Firstly, an electrode sensor was used to collect the induced potential differences from human skin surface in a uniform magnetic field. Then, the inversion matrix was constructed by the weight function theory and finite element method. Next, the blood flow volume inversion model was constructed by combining the induction potential differences and inversion matrix. Finally, the rate of arterial stenosis was predicted based on mathematical relationship between blood flow and the area of arterial stenosis. To verify the accuracy of the model, a uniform magnetic field distribution of Helmholtz coil and a 3D geometric model of the ulnar artery of the forearm with different rates of stenosis were established in COMSOL, a finite element analysis software. Simulation results showed that the inversion model had high accuracy in the measurement of blood flow and the prediction of rate of stenosis, and is of great significance for the early diagnosis of arterial stenosis and other vessel diseases.
Highlights
Blood is an important carrier of oxygen and nutrients between the organs and tissues of the body.Arterial stenosis will reduce the blood flow to various organs or tissues, causing coronary heart disease, angina, and other cardiovascular diseases
In view of the shortcomings of existing blood flow measurement methods, this paper proposed a non-invasive blood flow measurement inversion model based on electromagnetic induction
Based on the weight function proposed by Shercliff [28] and the finite element analysis method, the three-dimensional mathematical theory proposed by Shercliff and theproposed finite element method, into the three-dimensional model of flow induced potential[28]
Summary
Blood is an important carrier of oxygen and nutrients between the organs and tissues of the body. The rate of arterial stenosis was predicted based on the mathematical relationship between blood flow and arterial cross-sectional area This theoretical measurement model based on electromagnetic sensor to detect the rate of arterial stenosis is not affected by the uneven velocity profile and can predict the rate of arterial stenosis in a non-invasive and economical way. In the future, it can be developed into a beneficial, more convenient for physicians, and non-invasive for patients method for the diagnosis of arterial stenosis
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