scholarly journals Mathematical model of the mitral valve and the cardiovascular system Application for studying and monitoring valvular pathologies

2010 ◽  
Author(s):  
S. Paeme ◽  
P. Lancellotti ◽  
B. Lambermont ◽  
K. Moorhead ◽  
P. Kolh ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Mitral Valve ◽  
Cardiovascular System ◽  
System Application

An Improved Mathematical Model for the Autonomic Regulation of Cardiovascular System

2018 ◽  
pp. 279-288
Author(s):  
Yuanyuan Liu ◽  
Yingfei Sun ◽  
Zhipei Huang ◽  
Yu Meng ◽  
Jiankang Wu ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Cardiovascular System ◽  
Autonomic Regulation

scholarly journals Effect of abrupt preload reduction on left atrial and ventricular pressures in a multi-scale mathematical model of the cardiovascular system

2013 ◽  
Vol 34 (suppl 1) ◽  
pp. P3253-P3253
Author(s):  
A. Pironet ◽  
P. C. Dauby ◽  
S. Kosta ◽  
S. Paeme ◽  
J. G. Chase ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Cardiovascular System ◽  
Left Atrial ◽  
Multi Scale ◽  
Preload Reduction

scholarly journals Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1858
Author(s):  
Morena Celant ◽  
Eleuterio F. Toro ◽  
Lucas O. Müller
Keyword(s):  
Mathematical Model ◽  
Cardiovascular System ◽  
Regulatory Mechanisms ◽  
Loop Model ◽  
Infusion Test ◽  
Total Blood ◽  
Hyperbolic Pde ◽  
Vascular Compliance ◽  
Arteries And Veins ◽  
Effective Vascular Compliance

In this work, we determined the total effective vascular compliance of a global closed-loop model for the cardiovascular system by performing an infusion test of 500 mL of blood in four minutes. Our mathematical model includes a network of arteries and veins where blood flow is described by means of a one-dimensional nonlinear hyperbolic PDE system and zero-dimensional models for other cardiovascular compartments. Some mathematical modifications were introduced to better capture the physiology of the infusion test: (1) a physiological distribution of vascular compliance and total blood volume was implemented, (2) a nonlinear representation of venous resistances and compliances was introduced, and (3) main regulatory mechanisms triggered by the infusion test where incorporated into the model. By means of presented in silico experiment, we show that effective total vascular compliance is the result of the interaction between the assigned constant physical vascular compliance and the capacity of the cardiovascular system to adapt to new situations via regulatory mechanisms.

Simulation Study of the Interaction between Respiration and the Cardiovascular System

1997 ◽  
Vol 36 (04/05) ◽  
pp. 261-263 ◽  
Author(s):  
Jing Bai ◽  
Hongli Lu ◽  
Jupeng Zhang ◽  
Xiaoqiang Zhou
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Cardiovascular System ◽  
Simulation Study ◽  
External Pressure ◽  
Respiratory Pattern ◽  
Simulation Studies ◽  
Simulation Results ◽  
Thoracic And Abdominal ◽  
Physiological Systems

Abstract.Many studies have been done on the respiratory and the cardiovascular system. Among them, only a few are on the interaction of these two physiologic systems. To explore the mechanism of the integration of these two physiological systems, computer simulation has been done; we report the preliminary results obtained in our laboratory. In this study, a mathematical model of the cardiovascular system integrated with the respiratory mechanical system has been established. The model is based on our previous work on cardiovascular modeling. The previous lumped lungi model has been replaced by a multielement model with more detail. Inter- thoracic and abdominal pressures are modeled as external pressure sources on the related cardiovascular elements. Using this model, a sequence of simulation studies have been carried out. Different respiratory modes have been simulated and the different effects are observed in the simulation results. The results indicate that by following a certain respiratory pattern, the circulation status can be improved. These results agree with clinical observations.Keywords: Mathematical Model, Respiration Mode, Cardiovascular System, Computer Simulation, Interaction

scholarly journals A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system

2009 ◽  
Vol 50 (7-8) ◽  
pp. 959-974
Author(s):  
H.T. Banks ◽  
Kathleen Holm ◽  
Nathan C. Wanner ◽  
Ariel Cintrón-Arias ◽  
Grace M. Kepler ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Cardiovascular System ◽  
First Pass

Synchronization of low-frequency oscillations in the cardiovascular system: Application to medical diagnostics and treatment

2013 ◽  
Vol 222 (10) ◽  
pp. 2687-2696 ◽  
Author(s):  
V.I. Ponomarenko ◽  
M.D. Prokhorov ◽  
A.S. Karavaev ◽  
A.R. Kiselev ◽  
V.I. Gridnev ◽  
...  
Keyword(s):  
Cardiovascular System ◽  
System Application ◽  
Low Frequency ◽  
Medical Diagnostics ◽  
Low Frequency Oscillations

Multiscale modeling of the cardiovascular system: application to the study of pulmonary and coronary perfusions in the univentricular circulation

2005 ◽  
Vol 38 (5) ◽  
pp. 1129-1141 ◽  
Author(s):  
Katia Laganà ◽  
Rossella Balossino ◽  
Francesco Migliavacca ◽  
Giancarlo Pennati ◽  
Edward L. Bove ◽  
...  
Keyword(s):  
Cardiovascular System ◽  
Multiscale Modeling ◽  
System Application
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