IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-91092-5_22.html

Pressure Gradient Influence on Global Lymph Flow

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

Author

Listed:
  • A. S. Mozokhina

    (Lomonosov Moscow State University, Department of Computational Mathematics and Cybernetics)

  • S. I. Mukhin

    (Lomonosov Moscow State University, Department of Computational Mathematics and Cybernetics)

Abstract

The model of lymph flow in the lymphatic system in the quasi-one-dimensional approach is considered. The graph of the lymphatic system is introduced. It contains 543 arcs and 478 nodes. One hundred and sixty one arcs represent lymph nodes. The graph is anatomically adequate and is spatially consistent with appropriate graph of the cardiovascular system. For description of lymph flow, the system of quasi-one-dimensional hemodynamic equations is used. Lymph flow is numerically investigated in realistic topology under different pressure gradients for different body orientation—horizontal and vertical positions. It is shown that hydrodynamic patterns of lymph flow in vertical and horizontal cases differ radically from each other. The model of valves in trunks and ducts is proposed, and influence of such valves on global lymph flow under pressure gradient is investigated. The values of pressure gradient needed for existence of adequate flow in different cases are obtained.

Suggested Citation

  • A. S. Mozokhina & S. I. Mukhin, 2018. "Pressure Gradient Influence on Global Lymph Flow," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 325-334, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_22
    DOI: 10.1007/978-3-319-91092-5_22
    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

    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_22. 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.