IDEAS home Printed from https://ideas.repec.org/a/taf/gcmbxx/v18y2015i5p457-467.html
   My bibliography  Save this article

A two-dimensional model for stress driven diffusion in bone tissue

Author

Listed:
  • Gustav Lindberg
  • Leslie Banks-Sills
  • Per Ståhle
  • Ingrid Svensson

Abstract

The growth and resorption of bone are governed by interaction between several cells such as bone-forming osteoblasts, osteocytes, lining cells and bone-resorbing osteoclasts. The cells considered in this study reside in the periosteum. Furthermore, they are believed to be activated by certain substances to initiate bone growth. This study focuses on the role that stress driven diffusion plays in the transport of these substances from the medullary cavity to the periosteum. Calculations of stress driven diffusion are performed under steady state conditions using a finite element method with the concentration of nutrients in the cambium layer of the periosteum obtained for different choices of load frequencies. The results are compared with experimental findings, suggesting that increased bone growth occurs in the neighbourhood of relatively high nutrient concentration.

Suggested Citation

  • Gustav Lindberg & Leslie Banks-Sills & Per Ståhle & Ingrid Svensson, 2015. "A two-dimensional model for stress driven diffusion in bone tissue," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(5), pages 457-467, April.
  • Handle: RePEc:taf:gcmbxx:v:18:y:2015:i:5:p:457-467
    DOI: 10.1080/10255842.2013.807507
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10255842.2013.807507
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/10255842.2013.807507?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rik Huiskes & Ronald Ruimerman & G. Harry van Lenthe & Jan D. Janssen, 2000. "Effects of mechanical forces on maintenance and adaptation of form in trabecular bone," Nature, Nature, vol. 405(6787), pages 704-706, June.
    Full references (including those not matched with items on IDEAS)

    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. M.A. Pérez & P. Fornells & M. Doblaré & J.M. García-Aznar, 2010. "Comparative analysis of bone remodelling models with respect to computerised tomography-based finite element models of bone," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 13(1), pages 71-80.
    2. Vincent A. Stadelmann & Jean Hocké & Jensen Verhelle & Vincent Forster & Francesco Merlini & Alexandre Terrier & Dominique P. Pioletti, 2009. "3D strain map of axially loaded mouse tibia: a numerical analysis validated by experimental measurements," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 12(1), pages 95-100.
    3. S. Aland & C. Landsberg & R. Müller & F. Stenger & M. Bobeth & A.C. Langheinrich & A. Voigt, 2014. "Adaptive diffuse domain approach for calculating mechanically induced deformation of trabecular bone," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 17(1), pages 31-38, January.
    4. Hong Seok Park & Dinh Son Nguyen & Thai Le-Hong & Xuan Tran, 2022. "Machine learning-based optimization of process parameters in selective laser melting for biomedical applications," Journal of Intelligent Manufacturing, Springer, vol. 33(6), pages 1843-1858, August.
    5. Dominique P. Pioletti, 2010. "Biomechanics in bone tissue engineering," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 13(6), pages 837-846.
    6. Alexander Tsouknidas & Georgios Maliaris & Savvas Savvakis & Nikolaos Michailidis, 2015. "Anisotropic post-yield response of cancellous bone simulated by stress–strain curves of bulk equivalent structures," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(8), pages 839-846, June.
    7. Mahsa Bahari & Farzam Farahmand & Gholamreza Rouhi & Mohammad Movahhedy, 2012. "Prediction of shape and internal structure of the proximal femur using a modified level set method for structural topology optimisation," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 15(8), pages 835-844.
    8. Chao Wang & Lizhen Wang & Xiaoyu Liu & Yubo Fan, 2014. "Numerical simulation of the remodelling process of trabecular architecture around dental implants," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 17(3), pages 286-295, February.
    9. Misaki Sakashita & Shintaro Yamasaki & Kentaro Yaji & Atsushi Kawamoto & Shigeru Kondo, 2021. "Three-dimensional topology optimization model to simulate the external shapes of bone," PLOS Computational Biology, Public Library of Science, vol. 17(6), pages 1-23, June.
    10. Bríanne M. Mulvihill & Patrick J. Prendergast, 2008. "An algorithm for bone mechanoresponsiveness: implementation to study the effect of patient-specific cell mechanosensitivity on trabecular bone loss," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 11(5), pages 443-451.
    11. Rabeb Ben Kahla & Abdelwahed Barkaoui & Moez Chafra & João Manuel R. S. Tavares, 2021. "A General Mechano-Pharmaco-Biological Model for Bone Remodeling Including Cortisol Variation," Mathematics, MDPI, vol. 9(12), pages 1-18, June.

    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:taf:gcmbxx:v:18:y:2015:i:5:p:457-467. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/gcmb .

    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.