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Analysis Of an Arterial Pulse Using 1D KdV Model
Subject area: Science,Engineering and Technology · Area of research: Applied Mathematics
Abstract
In this study we developed a soliton model of an arterial pulse. The Korteweg-de Vries wave equation is our model of interest. It incorporates the aspect of modeling an arterial pulse which can potentially lead to development of better estimators of cardiac output. Accurate and continuous measurements of cardiac output are needed for severely ill COVID-19 patients but are often done using invasive methods. Another clinical importance is that the solitonic parameters inferred from the pulse could provide a better understanding of the physiology of cardiovascular disease and identify risk indicators in patients with hypertension. The results of this research may be helpful in the timely discovery of life threatening cardiovascular conditions such as pulmonary embolism, stroke and heart attack in COVID-19 patients.
Keywords
Arterial Pulse, Cardiovascular conditions, KdV equation, soliton
References
[1] Gezer, G. (2019), Soliton Interpretation of Arterial Blood Pressure Waveform: Derivation, Verification of Korteweg-de Vries Type Dynamics and Applications of Nonlinear Fourier Analysis. TU Delft Mechanical, Maritime and materials Engineering, Delft University of Technology, Netherlands.
[2] Laleg, T. M., Crepeau, E., Sorine, M. (2007), Separation of Arterial Pressure into a Nonlinear Superposition of Solitary Waves and a Windkessel Flow. Biomedical Signal Processing and Control. vol 2. Le Chesnay Cedex, France.
[3] Manuel, L. A., Leandro, J.C., Walter. L., Ricardo, L.A. (2014), Conceptual Model of Arterial Tree Based on Solitons by Compartments. Buenos Aires Regional Faculty and School of Advanced Studies in Engineering Sciences, National Technological University, Buenos Aires, Argentina.
[4] Mauro, U., Cristina, C. (2001), Techniques and Applications of Mathematical Modeling for Non-Invasive Blood Pressure Estimation University of Bologna, Italy.
How to cite this paper
@article{1703136,
author = {Fatuma Nandaha Nyongesa, Boniface O. Kwach, Michael O. Okoya},
title = {Analysis Of an Arterial Pulse Using 1D KdV Model},
journal = {Iconic Research And Engineering Journals},
year = {2022},
volume = {5},
number = {7},
pages = {239-240},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1703136.pdf},
abstract = {In this study we developed a soliton model of an arterial pulse. The Korteweg-de Vries wave equation is our model of interest. It incorporates the aspect of modeling an arterial pulse which can potentially lead to development of better estimators of cardiac output. Accurate and continuous measurements of cardiac output are needed for severely ill COVID-19 patients but are often done using invasive methods. Another clinical importance is that the solitonic parameters inferred from the pulse could provide a better understanding of the physiology of cardiovascular disease and identify risk indicators in patients with hypertension. The results of this research may be helpful in the timely discovery of life threatening cardiovascular conditions such as pulmonary embolism, stroke and heart attack in COVID-19 patients.},
keywords = {Arterial Pulse, Cardiovascular conditions, KdV equation, soliton},
month = {January},
}