A Fractional-Order Model of the Cardiac Function

A.-J.  Guel-Cortez; Eun-jin  Kim

doi:10.1007/978-3-030-70795-8_21

A Fractional-Order Model of the Cardiac Function

A.-J. Guel-Cortez, Eun-jin Kim

Research Centre for Fluid and Complex Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

Abstract

Improving the mathematical model of the cardiovascular system is an important aspect of the control and design of ventricular assist devices. In this work, through numerical simulations, we analyse the usage of fractional-order operators as a way to improve the circulation model. More specifically, we show that the use of fractional-order derivatives in the lumped circulation model can create different types of heart anomalous behaviours. This includes aortic regurgitation, mitral stenosis and ischaemic cardiomyopathy.

Original language	English
Title of host publication	Chaotic Modeling and Simulation International Conference
Editors	Christos H. Skiadas, Yiannis Dimotikalis
Publisher	Springer, Cham
Pages	273-285
Number of pages	13
ISBN (Electronic)	978-3-030-70795-8
ISBN (Print)	978-3-030-70794-1
DOIs	https://doi.org/10.1007/978-3-030-70795-8_21
Publication status	Published - 2021
Event	13th Chaotic Modeling and Simulation International Conference - online Duration: 20 Oct 2020 → 22 Oct 2020 http://www.cmsim.org/cmsim2020webconference.html

Publication series

Name	Springer Proceedings in Complexity
Publisher	Springer
ISSN (Print)	2213-8684
ISSN (Electronic)	2213-8692

Conference

Conference	13th Chaotic Modeling and Simulation International Conference
Period	20/10/20 → 22/10/20
Internet address	http://www.cmsim.org/cmsim2020webconference.html

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Cardiovascular system
Fractional derivatives
LVAD

ASJC Scopus subject areas

Applied Mathematics
Modelling and Simulation
Computer Science Applications

Access to Document

10.1007/978-3-030-70795-8_21

Cite this

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abstract = "Improving the mathematical model of the cardiovascular system is an important aspect of the control and design of ventricular assist devices. In this work, through numerical simulations, we analyse the usage of fractional-order operators as a way to improve the circulation model. More specifically, we show that the use of fractional-order derivatives in the lumped circulation model can create different types of heart anomalous behaviours. This includes aortic regurgitation, mitral stenosis and ischaemic cardiomyopathy.",

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AU - Kim, Eun-jin

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AB - Improving the mathematical model of the cardiovascular system is an important aspect of the control and design of ventricular assist devices. In this work, through numerical simulations, we analyse the usage of fractional-order operators as a way to improve the circulation model. More specifically, we show that the use of fractional-order derivatives in the lumped circulation model can create different types of heart anomalous behaviours. This includes aortic regurgitation, mitral stenosis and ischaemic cardiomyopathy.

KW - Cardiovascular system

KW - Fractional derivatives

KW - LVAD

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U2 - 10.1007/978-3-030-70795-8_21

DO - 10.1007/978-3-030-70795-8_21

M3 - Conference proceeding

SN - 978-3-030-70794-1

T3 - Springer Proceedings in Complexity

SP - 273

EP - 285

BT - Chaotic Modeling and Simulation International Conference

A2 - Skiadas, Christos H.

A2 - Dimotikalis, Yiannis

PB - Springer, Cham

T2 - 13th Chaotic Modeling and Simulation International Conference

Y2 - 20 October 2020 through 22 October 2020

ER -

A Fractional-Order Model of the Cardiac Function

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this