Prediction of stenosis behaviour in artery by neural network and multiple linear regressions

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ORIGINAL PAPER

Prediction of stenosis behaviour in artery by neural network and multiple linear regressions J. Satya Eswari1 · Jihen Majdoubi2 · Sweta Naik1 · Sneha Gupta3,4 · Arindam Bit3 · Mohammad Rahimi‑Gorji5 · Anber Saleem6,7 Received: 16 November 2019 / Accepted: 22 January 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Blood flow analysis in the artery is a paramount study in the field of arterial stenosis evaluation. Studies conducted so far have reported the analysis of blood flow parameters using different techniques, but the regression analysis is not adequately used. Artificial neural network is a nonlinear and nonparametric approach. It uses back-propagation algorithm for regression analysis, which is effective as compared to statistical model that requires a higher domain of statistics for prediction. In our manuscript, twofold analyses of data are done. First phase involves the determination of blood flow parameters using physiological flow pulse generator. The second phase includes regression modelling. The inputs to the model were axial length from stenosis, radial distance, inlet velocity, mean pressure, density, viscosity, time, and degree of blockage. Output included dependent variables in the form of output as mean velocity, root-mean-square (RMS) velocity, turbulent intensity, mean frequency, RMS frequency, frequency of turbulent intensity, gate time mean, gate time RMS. The temperature, density, and viscosity conditions were kept constant for various degrees of blockages. It was followed by regression analysis of variables using conventional statistical and neural network approach. The result shows that the neural network model is more appropriate, because value of percentage of response variation of dependent variable is almost approaching unity as compared to statistical analysis. Keywords  Artificial neural network · Multiple linear regressions · Stenosis · Blood flow

1 Introduction A stenosis is an abnormal narrowing in blood vessel. Aortic stenosis is focused here which can be described as constriction of the aortic valve clearing. Aortic stenosis restricts flow of blood from the left ventricle to aorta. There can

be two reasons of this phenomenon. The first one is congenital heart defects. Factors contributing are infections during pregnancy, parents being closely related (in pedigree), or poor nutritional status of mother (obesity or malnutrition) and parents suffering from congenital heart defect. The second one is deposition of fatty constituents. Physiological

* Anber Saleem [email protected]

3



Department of Biomedical Engineering, National Institute of Technology, Raipur, India

Jihen Majdoubi [email protected]

4



Department of Biological Science and Bio‑Engineering, Indian Institute of Technology, Kanpur, India

Arindam Bit [email protected]

5



Faculty of Medicine and Health Science, Ghent University, 9000 Ghent, Belgium



6



Mathematics and Its Applications in Life Sciences Research Group, Ton Duc Thang Univers