DOI QR코드

DOI QR Code

LUMPED PARAMETER MODELS OF CARDIOVASCULAR CIRCULATION IN NORMAL AND ARRHYTHMIA CASES

  • Jung, Eun-Ok (Department of Mathematics Konkuk University) ;
  • Lee, Wan-Ho (Department of Mathematics Konkuk University)
  • 발행 : 2006.07.01

초록

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.

키워드

참고문헌

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피인용 문헌

  1. Simulation of the Frank-Starling Law of the Heart vol.2012, 2012, https://doi.org/10.1155/2012/267834
  2. MULTIDIMENSIONAL OPEN SYSTEM FOR VALVELESS PUMPING vol.52, pp.6, 2015, https://doi.org/10.4134/BKMS.2015.52.6.1973
  3. A robust and efficient valve model based on resistive immersed surfaces vol.28, pp.9, 2012, https://doi.org/10.1002/cnm.2474
  4. Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves vol.319, 2017, https://doi.org/10.1016/j.cam.2016.11.042
  5. Numerical modeling of heart valves using resistive Eulerian surfaces vol.32, pp.5, 2016, https://doi.org/10.1002/cnm.2743