A Fractional-Order Model of the Cardiac Function

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

Research output: Chapter in Book/Report/Conference proceedingConference proceedingpeer-review

2 Citations (Scopus)
7 Downloads (Pure)


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 languageEnglish
Title of host publicationChaotic Modeling and Simulation International Conference
EditorsChristos H. Skiadas, Yiannis Dimotikalis
PublisherSpringer, Cham
Number of pages13
ISBN (Electronic)978-3-030-70795-8
ISBN (Print)978-3-030-70794-1
Publication statusPublished - 2021
Event13th Chaotic Modeling and Simulation International Conference - online
Duration: 20 Oct 202022 Oct 2020

Publication series

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


Conference13th Chaotic Modeling and Simulation International Conference
Internet address

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG
Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders. .


  • Cardiovascular system
  • Fractional derivatives
  • LVAD

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation
  • Computer Science Applications


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