IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i13p1459-d579450.html
   My bibliography  Save this article

Finite Element Analysis of Nonlinear Bioheat Model in Skin Tissue Due to External Thermal Sources

Author

Listed:
  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania)

  • Aatef Hobiny

    (Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi Arabia)

  • Ibrahim Abbas

    (Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi Arabia
    Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt)

Abstract

In this work, numerical estimations of a nonlinear hyperbolic bioheat equation under various boundary conditions for medicinal treatments of tumor cells are constructed. The heating source components in a nonlinear hyperbolic bioheat transfer model, such as the rate of blood perfusions and the metabolic heating generations, are considered experimentally temperature-dependent functions. Due to the nonlinearity of the governing relations, the finite element method is adopted to solve such a problem. The results for temperature are presented graphically. Parametric analysis is then performed to identify an appropriate procedure to select significant design variables in order to yield further accuracy to achieve efficient thermal power in hyperthermia treatments.

Suggested Citation

  • Marin Marin & Aatef Hobiny & Ibrahim Abbas, 2021. "Finite Element Analysis of Nonlinear Bioheat Model in Skin Tissue Due to External Thermal Sources," Mathematics, MDPI, vol. 9(13), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1459-:d:579450
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/13/1459/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/13/1459/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ghazanfarian, J. & Saghatchi, R. & Patil, D.V., 2015. "Implementation of Smoothed-Particle Hydrodynamics for non-linear Pennes’ bioheat transfer equation," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 21-31.
    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. Nicolae Pop & Marin Marin & Sorin Vlase, 2023. "Mathematics in Finite Element Modeling of Computational Friction Contact Mechanics 2021–2022," Mathematics, MDPI, vol. 11(1), pages 1-5, January.
    2. Mohamad Hosein Rasekhmanesh & Gines Garcia-Contreras & Juan Córcoles & Jorge A. Ruiz-Cruz, 2022. "On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections," Mathematics, MDPI, vol. 10(4), pages 1-15, February.
    3. Jangid, Komal & Singh, Bhagwan & Mukhopadhyay, Santwana, 2024. "Legendre wavelet collocation method for investigating thermo-mechanical responses on biological tissue during laser irradiation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 404-423.

    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. Kundu, Balaram, 2016. "Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 204-216.

    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:13:p:1459-:d:579450. 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: 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.