IDEAS home Printed from https://ideas.repec.org/a/bjc/journl/v8y2023i4p40-54.html
   My bibliography  Save this article

Mathematical Model and Simulation of Blood Flow Dynamics in Renal Interlobar Artery of Patients with Human immunodeficiency Virus

Author

Listed:
  • Abubakar, U.

    (Department of Radiography, Usmanu Danfodiyo University, Sokoto, Nigeria)

  • Ugwu, A. C.

    (Department of Radiography and Radiological Sciences, Nnamdi Adzikiwe University, Awka, Nigeria)

  • Tivde, T.

    (Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Nigeria)

  • Mbah, GCE

    (Department of Mathematics, University of Nigeria, Nsukka, Nigeria)

Abstract

Mathematical models were developed considering wall movement, blood pulsation and flow dynamics of the blood in the interlobar artery. The formulated models were based on the fact that the motion of blood vessel wall is not only influenced by pulsation, but also other physiological processes like heartbeat, breathing, and body posture. The Newton’s second Law of motion was employed in assembling the forces acting on the interlobar artery. The wall shear stress (WSS) was studied alongside, arterial walls to study the actual flow dynamics and investigate the blood flow behaviour. The results of the study were presented on both two – dimensional (2D) and three (3D) – dimensional graphs showing a more realistic interaction between the arterial wall and the blood flow in patients with HIV/AIDS. It was deduced that the blood flow velocity decreased with time across the varying frequency from 0.20Hz to 0.50Hz in the interlobar arterial channel.

Suggested Citation

  • Abubakar, U. & Ugwu, A. C. & Tivde, T. & Mbah, GCE, 2023. "Mathematical Model and Simulation of Blood Flow Dynamics in Renal Interlobar Artery of Patients with Human immunodeficiency Virus," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 8(4), pages 40-54, April.
    • Handle: RePEc:bjc:journl:v:8:y:2023:i:4:p:40-54
    as

    Download full text from publisher

    File URL: https://www.rsisinternational.org/journals/ijrias/digital-library/volume-8-issue-4/40-54.pdf
    Download Restriction: no
    File URL: https://www.rsisinternational.org/virtual-library/papers/mathematical-model-and-simulation-of-blood-flow-dynamics-in-renal-interlobar-artery-of-patients-with-human-immunodeficiency-virus/?utm_source=Netcore&utm_medium=Email&utm_content=sscollections25oct&utm_campaign=First&_gl=1*1f3cfyw*_gcl_au*Nzg3MDc3MjYxLjE3MDIwMTAzMzE.*_ga*MTA1MTkzODcwMi4xNjk0MTkxNTI0*_ga_J3C1TKKSZ0*MTcwNzc5NzgwNy4yNDAuMS4xNzA3ODAxMDE0LjQwLjAuMA..&_ga=2.29156988.1180013048.1707723673-1051938702.1694191524
    Download Restriction: no
    ---><---

    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:bjc:journl:v:8:y:2023:i:4:p:40-54. 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: Dr. Renu Malsaria (email available below). General contact details of provider: https://rsisinternational.org/journals/ijrias/ .

    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.