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Keshavarz, Masoume, Allahviranloo, Tofigh, Abbasbandy, Saeid, Modarressi, Mohammad. (1400). Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure. سامانه مدیریت نشریات علمی, 9(4), 919-939. doi: 10.22034/cmde.2020.34163.1563
Masoume Keshavarz; Tofigh Allahviranloo; Saeid Abbasbandy; Mohammad Hossein Modarressi. "Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure". سامانه مدیریت نشریات علمی, 9, 4, 1400, 919-939. doi: 10.22034/cmde.2020.34163.1563
Keshavarz, Masoume, Allahviranloo, Tofigh, Abbasbandy, Saeid, Modarressi, Mohammad. (1400). 'Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure', سامانه مدیریت نشریات علمی, 9(4), pp. 919-939. doi: 10.22034/cmde.2020.34163.1563
Keshavarz, Masoume, Allahviranloo, Tofigh, Abbasbandy, Saeid, Modarressi, Mohammad. Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure. سامانه مدیریت نشریات علمی, 1400; 9(4): 919-939. doi: 10.22034/cmde.2020.34163.1563

Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure

Computational Methods for Differential Equations
مقاله 1، دوره 9، شماره 4، دی 2021، صفحه 919-939    اصل مقاله (1.37 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.34163.1563
نویسندگان
Masoume Keshavarz1؛ Tofigh Allahviranloo* 1، 2؛ Saeid Abbasbandy1، 3؛ Mohammad Hossein Modarressi4
1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
2Department of Mathematics, facullty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey.
3Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, 34149-16818, Iran.
4Department of Medical Genetics & Molecular Medicine, Tehran University of Medical Sciences, Tehran, Iran.
چکیده
The cardiovascular system is an extremely intelligent and dynamic system which adjusts its performance depending on the individual's physical and environmental conditions. Some of these physical and environmental conditions may create slight disruptions in the cardiovascular system leading to a variety of diseases. Since prevention has always been preferable to treatment, this paper examined the Instantaneous Pressure-Volume Relation (IPVR) and also the pressure of the artery root. Fuzzy mathematics as a powerful tool is used to evaluate and predict the status of an individual's blood pressure. The arterial pressure is modeled as a first-order fuzzy differential equation and an analytical solution for this equation is obtained and an example shows the behavior of the solution. The risk factors using fuzzy rules are assessed, which help diagnose the status of an individual's blood pressure. Using the outcome by drawing the individual's attention to these risk factors, the individual's health is improved. Moreover, in this study, adaptive neuro-fuzzy inference system (ANFIS) models are evaluated to predict the status of an individual's blood pressure on the basis of the inputs.
کلیدواژه‌ها
Fuzzy instant pressure volume؛ Generalized Hukuhara difference؛ Generalized Hukuhara differentiable؛ Characterization theorem؛ Fuzzy output blood ow theorem؛ Fuzzy blood flow back theorem؛ Fuzzy model of arterial pressure؛ Adaptive neuro-fuzzy inference system
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