IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i9p1024-d547539.html
   My bibliography  Save this article

Simulating Extraocular Muscle Dynamics. A Comparison between Dynamic Implicit and Explicit Finite Element Methods

Author

Listed:
  • Jorge Grasa

    (Aragón Institute of Engineering Research (i3A), Universidad de Zaragoza, 50018 Zaragoza, Spain
    Centro de Investigación Biomédica en Red en Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), 28029 Madrid, Spain)

  • Begoña Calvo

    (Aragón Institute of Engineering Research (i3A), Universidad de Zaragoza, 50018 Zaragoza, Spain
    Centro de Investigación Biomédica en Red en Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), 28029 Madrid, Spain)

Abstract

The finite element method has been widely used to investigate the mechanical behavior of biological tissues. When analyzing these particular materials subjected to dynamic requests, time integration algorithms should be considered to incorporate the inertial effects. These algorithms can be classified as implicit or explicit. Although both algorithms have been used in different scenarios, a comparative study of the outcomes of both methods is important to determine the performance of a model used to simulate the active contraction of the skeletal muscle tissue. In this work, dynamic implicit and dynamic explicit solutions are presented for the movement of the eye ball induced by the extraocular muscles. Aspects such as stability, computational time and the influence of mass-scaling for the explicit formulation were assessed using ABAQUS software. Both strategies produced similar results regarding range of movement of the eye ball, total deformation and kinetic energy. Using the implicit dynamic formulation, an important amount of computational time reduction is achieved. Although mass-scaling can reduce the simulation time, the dynamic contraction of the muscle is drastically altered.

Suggested Citation

  • Jorge Grasa & Begoña Calvo, 2021. "Simulating Extraocular Muscle Dynamics. A Comparison between Dynamic Implicit and Explicit Finite Element Methods," Mathematics, MDPI, vol. 9(9), pages 1-17, May.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:1024-:d:547539
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/9/1024/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/9/1024/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Yilin Li & Chengbo Yi & Jianwen Feng & Jingyi Wang, 2022. "Event-Based Impulsive Control for Heterogeneous Neural Networks with Communication Delays," Mathematics, MDPI, vol. 10(24), pages 1-16, December.

    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:gam:jmathe:v:9:y:2021:i:9:p:1024-:d:547539. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.