IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v120y2019icp222-233.html
   My bibliography  Save this article

Drift of scroll waves in a generic axisymmetric model of the cardiac left ventricle

Author

Listed:
  • Pravdin, Sergei F.
  • Dierckx, Hans
  • Panfilov, Alexander V.

Abstract

Many dangerous cardiac arrhythmias are driven by rotating spiral waves of electrical excitation. The dynamics of these rotating waves determine the properties of the arrhythmia. In this paper, we present a numerical study of the dynamics of scroll waves in generic axisymmetric models of the left ventricle, coupled with an ionic model for human cardiac cells. We find that the most frequent type of dynamic present is annihilation of the scroll waves at the basal boundary of the heart. However, in several cases, the scroll waves stabilised inside the myocardium and rotated around transmural filaments. This behaviour is affected by many parameters, including the thickness of the myocardial wall, the cardiac tissue anisotropy, that is the anisotropy ratio and the directions of the myofibres, the chirality of the scroll waves and the parameters of the cell model. There can be several attractors, and a scroll wave can persist or disappear depending on the initial conditions, for example, S1S2 protocol parameters. However, the exact dependencies are complex and not always monotonic. In this study, we discuss the possible mechanisms underlying these dynamics and the application of our results to cardiac arrhythmias.

Suggested Citation

  • Pravdin, Sergei F. & Dierckx, Hans & Panfilov, Alexander V., 2019. "Drift of scroll waves in a generic axisymmetric model of the cardiac left ventricle," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 222-233.
    • Handle: RePEc:eee:chsofr:v:120:y:2019:i:c:p:222-233
    DOI: 10.1016/j.chaos.2019.01.024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918304582
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.01.024?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hermenegild J. Arevalo & Fijoy Vadakkumpadan & Eliseo Guallar & Alexander Jebb & Peter Malamas & Katherine C. Wu & Natalia A. Trayanova, 2016. "Arrhythmia risk stratification of patients after myocardial infarction using personalized heart models," Nature Communications, Nature, vol. 7(1), pages 1-8, September.
    2. Ivan V Kazbanov & Richard H Clayton & Martyn P Nash & Chris P Bradley & David J Paterson & Martin P Hayward & Peter Taggart & Alexander V Panfilov, 2014. "Effect of Global Cardiac Ischemia on Human Ventricular Fibrillation: Insights from a Multi-scale Mechanistic Model of the Human Heart," PLOS Computational Biology, Public Library of Science, vol. 10(11), pages 1-15, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sergey Pravdin & Pavel Konovalov & Hans Dierckx & Olga Solovyova & Alexander V. Panfilov, 2020. "Drift of Scroll Waves in a Mathematical Model of a Heterogeneous Human Heart Left Ventricle," Mathematics, MDPI, vol. 8(5), pages 1-13, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sergey Pravdin & Pavel Konovalov & Hans Dierckx & Olga Solovyova & Alexander V. Panfilov, 2020. "Drift of Scroll Waves in a Mathematical Model of a Heterogeneous Human Heart Left Ventricle," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
    2. Dolors Serra & Pau Romero & Ignacio Garcia-Fernandez & Miguel Lozano & Alejandro Liberos & Miguel Rodrigo & Alfonso Bueno-Orovio & Antonio Berruezo & Rafael Sebastian, 2022. "An Automata-Based Cardiac Electrophysiology Simulator to Assess Arrhythmia Inducibility," Mathematics, MDPI, vol. 10(8), pages 1-21, April.
    3. William A. Ramírez & Alessio Gizzi & Kevin L. Sack & Simonetta Filippi & Julius M. Guccione & Daniel E. Hurtado, 2020. "On the Role of Ionic Modeling on the Signature of Cardiac Arrhythmias for Healthy and Diseased Hearts," Mathematics, MDPI, vol. 8(12), pages 1-19, December.
    4. Arsenii Dokuchaev & Alexander V. Panfilov & Olga Solovyova, 2020. "Myocardial Fibrosis in a 3D Model: Effect of Texture on Wave Propagation," Mathematics, MDPI, vol. 8(8), pages 1-16, August.
    5. Daria Mangileva & Pavel Konovalov & Arsenii Dokuchaev & Olga Solovyova & Alexander V. Panfilov, 2021. "Period of Arrhythmia Anchored around an Infarction Scar in an Anatomical Model of the Human Ventricles," Mathematics, MDPI, vol. 9(22), pages 1-15, November.
    6. Tobias Gerach & Steffen Schuler & Jonathan Fröhlich & Laura Lindner & Ekaterina Kovacheva & Robin Moss & Eike Moritz Wülfers & Gunnar Seemann & Christian Wieners & Axel Loewe, 2021. "Electro-Mechanical Whole-Heart Digital Twins: A Fully Coupled Multi-Physics Approach," Mathematics, MDPI, vol. 9(11), pages 1-33, May.
    7. Pavel Konovalov & Daria Mangileva & Arsenii Dokuchaev & Olga Solovyova & Alexander V. Panfilov, 2021. "Rotational Activity around an Obstacle in 2D Cardiac Tissue in Presence of Cellular Heterogeneity," Mathematics, MDPI, vol. 9(23), pages 1-15, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:120:y:2019:i:c:p:222-233. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.