IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v261y1998i3p569-580.html
   My bibliography  Save this article

A growth model for primary cancer

Author

Listed:
  • Junior, S.C.Ferreira
  • Martins, M.L.
  • Vilela, M.J.

Abstract

One of the most aggressive phenomena in biology is the growth of cancer cells. In this paper we propose a simple model to simulate the growth of carcinoma “in situ”, which includes cell proliferation, motility and death, as well as the reciprocal influence among cells. Every simulated growth pattern is characterized by its gyration radius, surface roughness, number of cells on tumour periphery and fractal dimension. Our results indicate that the patterns are compact, with gyration radius, surface roughness and number of peripherical cells scaling, in the asymptotic limit, as a square root of the total number of tumour cells. Also, a preliminary comparison between the simulated patterns and explants of primary tumours is done.

Suggested Citation

  • Junior, S.C.Ferreira & Martins, M.L. & Vilela, M.J., 1998. "A growth model for primary cancer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 569-580.
    • Handle: RePEc:eee:phsmap:v:261:y:1998:i:3:p:569-580
    DOI: 10.1016/S0378-4371(98)00318-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437198003185
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(98)00318-5?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Guiraldello, Rafael T. & Martins, Marcelo L. & Mancera, Paulo F.A., 2016. "Evaluating the efficacies of Maximum Tolerated Dose and metronomic chemotherapies: A mathematical approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 145-156.
    2. Naumov, Lev & Hoekstra, Alfons & Sloot, Peter, 2011. "Cellular automata models of tumour natural shrinkage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2283-2290.

    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:eee:phsmap:v:261:y:1998:i:3:p:569-580. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.