The University of Southampton
University of Southampton Institutional Repository

Modeling left ventricular dynamics using a switched system approach based on a modified atrioventricular piston unit

Modeling left ventricular dynamics using a switched system approach based on a modified atrioventricular piston unit
Modeling left ventricular dynamics using a switched system approach based on a modified atrioventricular piston unit

The contribution of the longitudinal atrioventricular plane displacement to ventricular pumping has drawn more and more attentions. In this paper, differential equations of the left ventricle (LV) are derived via the atrioventricular piston concept. The contribution of left ventricular radial function to blood flow was converted to an equivalent coefficient. A systemic circulatory model incorporating the modified atrioventricular piston unit was developed on a switched system form by adding some state-dependent switching planes. Simulation results prove that the end-systolic pressure volume relationship of the model with a changing systemic arterial resistance is approximately linear and insensitive to perturbations in afterload. Then the LV model was validated using a data fitting method. A pressure–volume loop from a patient undergoing routine diagnostic cardiac catheterization with LV angiography was used as measurements. Model parameters and the trapezoidal profile of contraction forces were adjusted by a trial method. The root mean squared error between the measured and estimated LV pressure is 2.99 mmHg. The LV compliance is 0.34 ml/mmHg. The ratio between left ventricular and left atrial cross-section is 1.8. Therefore, parameter values used in the modified LV model match physiological data. The model can reproduce the realistic pressure-flow relationship in the LV chamber.

Atrioventricular plane displacement, End-systolic pressure volume relationship, Lumped-element ventricular model, Switched system, Ventricular compliance
1350-4533
42-49
Huang, Huan
3e9622b9-90f9-4030-b99b-6ee365600929
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Song, Bo
725af998-fbad-4387-8c58-cc25b2af4fb3
Ji, Liya
18bf4632-fe63-482e-802e-41c8ffea885b
Zhu, Nan
71552a94-c1fd-4c5c-8635-8a31813f6041
Huang, Huan
3e9622b9-90f9-4030-b99b-6ee365600929
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Song, Bo
725af998-fbad-4387-8c58-cc25b2af4fb3
Ji, Liya
18bf4632-fe63-482e-802e-41c8ffea885b
Zhu, Nan
71552a94-c1fd-4c5c-8635-8a31813f6041

Huang, Huan, Shu, Zhan, Song, Bo, Ji, Liya and Zhu, Nan (2019) Modeling left ventricular dynamics using a switched system approach based on a modified atrioventricular piston unit. Medical Engineering & Physics, 63, 42-49. (doi:10.1016/j.medengphy.2018.12.007).

Record type: Article

Abstract

The contribution of the longitudinal atrioventricular plane displacement to ventricular pumping has drawn more and more attentions. In this paper, differential equations of the left ventricle (LV) are derived via the atrioventricular piston concept. The contribution of left ventricular radial function to blood flow was converted to an equivalent coefficient. A systemic circulatory model incorporating the modified atrioventricular piston unit was developed on a switched system form by adding some state-dependent switching planes. Simulation results prove that the end-systolic pressure volume relationship of the model with a changing systemic arterial resistance is approximately linear and insensitive to perturbations in afterload. Then the LV model was validated using a data fitting method. A pressure–volume loop from a patient undergoing routine diagnostic cardiac catheterization with LV angiography was used as measurements. Model parameters and the trapezoidal profile of contraction forces were adjusted by a trial method. The root mean squared error between the measured and estimated LV pressure is 2.99 mmHg. The LV compliance is 0.34 ml/mmHg. The ratio between left ventricular and left atrial cross-section is 1.8. Therefore, parameter values used in the modified LV model match physiological data. The model can reproduce the realistic pressure-flow relationship in the LV chamber.

Full text not available from this repository.

More information

Accepted/In Press date: 4 December 2018
e-pub ahead of print date: 13 December 2018
Published date: 1 January 2019
Keywords: Atrioventricular plane displacement, End-systolic pressure volume relationship, Lumped-element ventricular model, Switched system, Ventricular compliance

Identifiers

Local EPrints ID: 428969
URI: https://eprints.soton.ac.uk/id/eprint/428969
ISSN: 1350-4533
PURE UUID: 37599f43-f6f4-424e-b90f-e89c45bb1fed
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 15 Mar 2019 17:30
Last modified: 16 Jul 2019 00:42

Export record

Altmetrics

Contributors

Author: Huan Huang
Author: Zhan Shu ORCID iD
Author: Bo Song
Author: Liya Ji
Author: Nan Zhu

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×