A LUMPED PARAMETER MODEL OF CARDIOVASCULAR SYSTEM WITH PULSATING HEART FOR DIAGNOSTIC STUDIES

Mathematical modeling of cardiovascular system provides an ability to study hemodynamics and to predict the results of treatment based on individual anatomical and physiological data of patients. However, the presently developed models of cardiovascular system have a limitation on use in clinical practice due to their physical and computational complexities. The aim of this study is to derive a lumped parameter model of cardiovascular system with pulsating heart in which all parameters have a physically based quantitative value and can be identified using clinical methods. For development of a cardiovascular system model the chamber analog was used which describes whole cardiovascular system as a set of elastic chambers. The proposed model consists of systemic and pulmonary circulation, four-chamber heart and four valves. The description of heart is based on a four-element representation of a cardiac muscle. The reverse blood flow via valves is considered. The accuracy of the derived model was evaluated by comparing the data of numerical simulation with experimental data. The limitations of the model were discussed as well as possible applications of the model were suggested. The proposed lumped parameter model can be used to support clinicians in their decisions in treating cardiovascular disorders.

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Development of the Cardiovascular System Model for the Newborn Infant Simulator

2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (ElConRus) ◽

10.1109/elconrus51938.2021.9396580 ◽

2021 ◽

Author(s):

Yuliya A. Shevchenko ◽

Yuliya V. Vinogradenko ◽

Yuliya O. Bobrova

Keyword(s):

Cardiovascular System ◽

Newborn Infant ◽

System Model ◽

Infant Simulator ◽

Cardiovascular System Model

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A Lumped Parameter Electromechanical Model for Describing the Nonlinear Behavior of Piezoelectric Actuators

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2801282 ◽

1997 ◽

Vol 119 (3) ◽

pp. 478-485 ◽

Cited By ~ 166

Author(s):

M. Goldfarb ◽

N. Celanovic

Keyword(s):

System Analysis ◽

Nonlinear Behavior ◽

Piezoelectric Actuators ◽

Bond Graph ◽

Lumped Parameter Model ◽

Input Output ◽

Mechanical Stiffness ◽

Analysis And Design ◽

Lumped Parameter ◽

Proposed Model

A lumped-parameter model of a piezoelectric stack actuator has been developed to describe actuator behavior for purposes of control system analysis and design, and in particular for control applications requiring accurate position tracking performance. In addition to describing the input-output dynamic behavior, the proposed model explains aspects of nonintuitive behavioral phenomena evinced by piezoelectric actuators, such as the input-output rate-independent hysteresis and the change in mechanical stiffness that results from altering electrical load. Bond graph terminology is incorporated to facilitate the energy-based formulation of the actuator model. The authors propose a new bond graph element, the generalized Maxwell resistive capacitor, as a lumped-parameter causal representation of rate-independent hysteresis. Model formulation is validated by comparing results of numerical simulations to experimental data.

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A Physically-Based, Lumped-Parameter Model of an Electrically-Heated Three-Way Catalytic Converter

10.4271/2012-01-1240 ◽

2012 ◽

Cited By ~ 2

Author(s):

Beth Bezaire ◽

Shawn Midlam-Mohler

Keyword(s):

Catalytic Converter ◽

Lumped Parameter Model ◽

Lumped Parameter ◽

Physically Based

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Structural identifiability analysis of a cardiovascular system model

Medical Engineering & Physics ◽

10.1016/j.medengphy.2016.02.005 ◽

2016 ◽

Vol 38 (5) ◽

pp. 433-441 ◽

Cited By ~ 13

Author(s):

Antoine Pironet ◽

Pierre C. Dauby ◽

J. Geoffrey Chase ◽

Paul D. Docherty ◽

James A. Revie ◽

...

Keyword(s):

Cardiovascular System ◽

System Model ◽

Structural Identifiability ◽

Identifiability Analysis ◽

Cardiovascular System Model ◽

Structural Identifiability Analysis

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Prediction of coronary blood flow with a numerical model based on collapsible tube dynamics

AJP Heart and Circulatory Physiology ◽

10.1152/ajpheart.1990.258.5.h1606 ◽

1990 ◽

Vol 258 (5) ◽

pp. H1606-H1614 ◽

Cited By ~ 4

Author(s):

C. Guiot ◽

P. G. Pianta ◽

C. Cancelli ◽

T. J. Pedley

Keyword(s):

Vascular System ◽

Left Ventricular Pressure ◽

Pressure Change ◽

External Pressure ◽

Left Ventricular ◽

Lumped Parameter Model ◽

Ventricular Pressure ◽

Physiological Data ◽

Lumped Parameter ◽

Early Systole

We present a theoretical, hydrodynamic model of the vascular system feeding the left ventricle from which the inflow and outflow waveforms can be predicted given the waveforms of aortic and left ventricular pressure. The main feature of the model is that the central portion of the tubes representing intramyocardial vessels is subjected to an external pressure equal to left ventricular pressure, and they therefore collapse (and empty) when that pressure exceeds the internal pressure. The model is a one-dimensional model, so that the propagation of the collapse waves into the vessels can be properly described; this process takes a finite time, and volume change is not in phase with transmural pressure change. Parameters of the model are assessed from independent physiological data. The predicted inflow waveform is compared with experimental data, and the model is shown to reproduce all the main features, in particular the second minimum of flow rate in late systole as well as the first minimum in early systole. The corresponding lumped-parameter model, which cannot take account of wave propagation, is shown not to agree with experiments and in particular to predict unphysiological spikes in the inflow waveform.

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