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LUMPED PARAMETER MODELS OF CARDIOVASCULAR CIRCULATION IN NORMAL AND ARRHYTHMIA CASES
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 Title & Authors
LUMPED PARAMETER MODELS OF CARDIOVASCULAR CIRCULATION IN NORMAL AND ARRHYTHMIA CASES
Jung, Eun-Ok; Lee, Wan-Ho;
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 Abstract
A new mathematical model of pumping heart coupled to lumped compartments of blood circulation is presented. This lumped pulsatile cardiovascular model consists of eight compartments of the body that include pumping heart, the systemic circulation, and the pulmonary circulation. The governing equations for the pressure and volume in each vascular compartment are derived from the following equations: Ohm`s law, conservation of volume, and the definition of compliances. The pumping heart is modeled by the time-dependent linear curves of compliances in the heart. We show that the numerical results in normal case are in agreement with corresponding data found in the literature. We extend the developed lumped model of circulation in normal case into a specific model for arrhythmia. These models provide valuable tools in examining and understanding cardiovascular diseases.
 Keywords
mathematical model;lumped model;heart;circulation;cardiovascular system;arrhythmia;irregular heart beats;
 Language
English
 Cited by
1.
MULTIDIMENSIONAL OPEN SYSTEM FOR VALVELESS PUMPING,;;;;

대한수학회보, 2015. vol.52. 6, pp.1973-2000 crossref(new window)
1.
Simulation of the Frank-Starling Law of the Heart, Computational and Mathematical Methods in Medicine, 2012, 2012, 1  crossref(new windwow)
2.
Numerical modeling of heart valves using resistive Eulerian surfaces, International Journal for Numerical Methods in Biomedical Engineering, 2016, 32, 5, e02743  crossref(new windwow)
3.
MULTIDIMENSIONAL OPEN SYSTEM FOR VALVELESS PUMPING, Bulletin of the Korean Mathematical Society, 2015, 52, 6, 1973  crossref(new windwow)
4.
A robust and efficient valve model based on resistive immersed surfaces, International Journal for Numerical Methods in Biomedical Engineering, 2012, 28, 9, 937  crossref(new windwow)
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