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)


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.


  • Cardiovascular system
  • Fractional derivatives
  • LVAD

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation
  • Computer Science Applications


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