IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v233y1996i1p85-101.html
   My bibliography  Save this article

A local-field-type model for immunological systems: time evolution in real and shape spaces

Author

Listed:
  • Papa, Andrés R.R.
  • Tsallis, Constantino

Abstract

We introduce a new model for the interaction of immunological cells that takes into account their location in real space. Each one of the model cells mimics the real B cells in the sense that they detect antigens and they are also capable of reproducing themselves. We perform computer simulations for the simplest cases. The main differences between the results obtained within this model and those obtained through the usual models, which do not consider a real space, concern the final stationary states. In mean field calculations not only the system as a whole but also each individual cell population reach an equilibrium state. In the present approach the entire system reaches a stationary state, but the individual populations present strong fluctuations, at least for the explored range of parameters. We exhibit that, in spite of the simplicity of the present model, interesting real-space effects can take place.

Suggested Citation

  • Papa, Andrés R.R. & Tsallis, Constantino, 1996. "A local-field-type model for immunological systems: time evolution in real and shape spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 85-101.
    • Handle: RePEc:eee:phsmap:v:233:y:1996:i:1:p:85-101
    DOI: 10.1016/S0378-4371(96)00186-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437196001860
    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(96)00186-0?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. Stauffer, Dietrich & Weisbuch, Gérard, 1992. "High-dimensional simulation of the shape-space model for the immune system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 180(1), pages 42-52.
    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. Bonabeau, Eric, 1994. "Self-reorganizations in a simple model of the immune system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(3), pages 336-350.
    2. Zorzenon dos Santos, Rita M. & Bernardes, Américo T., 1995. "The stable-chaotic transition on cellular automata used to model the immune repertoire," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 1-12.

    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:233:y:1996:i:1:p:85-101. 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: 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.