IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-91092-5_3.html
   My bibliography  Save this book chapter

Boundary Control Problems in Hemodynamics

In: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author

Listed:
  • Adélia Sequeira

    (Instituto Superior Técnico, Universidade de Lisboa, Department of Mathematics and CEMAT)

  • Jorge Tiago

    (Instituto Superior Técnico, Universidade de Lisboa, Department of Mathematics and CEMAT)

  • Telma Guerra

    (Instituto Politécnico de Setúbal, Escola Superior de Tecnologia do Barreiro)

Abstract

Blood flow simulations can be improved by integrating known data into the numerical modeling approach. Data Assimilation techniques based on a variational formulation play an important role in this issue. We propose a non-linear optimal control problem to reconstruct the blood flow profile from partial observations of known data in different geometries. Blood flow is assumed to behave as a homogeneous fluid with non-Newtonian inelastic shear-thinning behavior or, to simplify, blood flow is governed by the Navier-Stokes equations. Using a Discretize then Optimize (DO) approach, we solve a non-linear optimal control problem and present numerical results that indicate its robustness with respect to different idealized geometries and measured data. Blood flow in real vessels will also be considered, including the discussion of particular clinical cases.

Suggested Citation

  • Adélia Sequeira & Jorge Tiago & Telma Guerra, 2018. "Boundary Control Problems in Hemodynamics," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 27-48, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_3
    DOI: 10.1007/978-3-319-91092-5_3
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:spr:sprchp:978-3-319-91092-5_3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.