Title of article :
Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure
Author/Authors :
Keshavarz, Masoumeh Department of Mathematics - Science and Research Branch - Islamic Azad University - Tehran, Iran , Abbasbandy, Saeid Department of Mathematics - Science and Research Branch - Islamic Azad University - Tehran, Iran , Modarressi, Mohammad Hossein Department of Medical Genetics & Molecular Medicine - Tehran University of Medical Sciences - Tehran, Iran
Abstract :
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 pre-
vention has always been preferable to treatment, this paper examined the Instan-
taneous 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 rst order fuzzy
dierential 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.
Keywords :
Fuzzy instant pressure volume , Generalized Hukuhara difference , Characterization theorem , Fuzzy output blood ow theorem , Fuzzy blood ow back theorem , Fuzzy model of arterial pressure , Adaptive neuro-fuzzy inference system
Journal title :
Computational Methods for Differential Equations