IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v208y1994i3p336-350.html
   My bibliography  Save this article

Self-reorganizations in a simple model of the immune system

Author

Listed:
  • Bonabeau, Eric

Abstract

We report results of studies carried out on a simple 2D shape space model of the immune system, where a network of clones is perturbed by long-lived molecules whose presence triggers the disappearance (avalanche) of existing clones. The resulting reorganizations of the system, which occur over many different time and length scales, enable it to respond efficiently to changing environments. The system's dynamics is very reminiscent of self-organized criticality, with a 1/*int; spectrum in the number of particles, but we observe a clear cutoff in the size of avalanches in the present model. We argue that such a cutoff is a desirable feature in the case of a biological system.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:3:p:336-350
    DOI: 10.1016/0378-4371(94)00044-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194000441
    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/10.1016/0378-4371(94)00044-1?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. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
    2. 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. de Benicio, Rosilda B. & Stošić, Tatijana & de Figueirêdo, P.H. & Stošić, Borko D., 2013. "Multifractal behavior of wild-land and forest fire time series in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6367-6374.
    2. Satulovsky, Javier E., 1997. "On the synchronizing mechanism of a class of cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 52-58.
    3. Kondor, Dániel & Mátray, Péter & Csabai, István & Vattay, Gábor, 2013. "Measuring the dimension of partially embedded networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4160-4171.
    4. Bill McKelvey & Benyamin B. Lichtenstein & Pierpaolo Andriani, 2012. "When organisations and ecosystems interact: toward a law of requisite fractality in firms," International Journal of Complexity in Leadership and Management, Inderscience Enterprises Ltd, vol. 2(1/2), pages 104-136.
    5. Batac, Rene & Longjas, Anthony & Monterola, Christopher, 2012. "Statistical distributions of avalanche size and waiting times in an inter-sandpile cascade model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 616-624.
    6. Marzouk, Cyril, 2016. "Fires on large recursive trees," Stochastic Processes and their Applications, Elsevier, vol. 126(1), pages 265-289.
    7. Benavent-Corai, J. & Rojo, C. & Suárez-Torres, J. & Velasco-García, L., 2007. "Scaling properties in forest fire sequences: The human role in the order of nature," Ecological Modelling, Elsevier, vol. 205(3), pages 336-342.
    8. LaViolette, Randall A. & Glass, Kristin & Colbaugh, Richard, 2009. "Deep information from limited observation of robust yet fragile systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3283-3287.
    9. Honecker, A. & Peschel, I., 1997. "Length scales and power laws in the two-dimensional forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 239(4), pages 509-530.
    10. Tang, Da-Hai & Han, Xiao-Pu & Wang, Bing-Hong, 2010. "Stretched exponential distribution of recurrent time of wars in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2637-2641.
    11. Gran, Joseph D. & Rundle, John B. & Turcotte, Donald L. & Holliday, James R. & Klein, William, 2011. "A damage model based on failure threshold weakening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1269-1278.
    12. Vittorio Zanon & Fátima Viveiros & Catarina Silva & Ana Hipólito & Teresa Ferreira, 2008. "Impact of lightning on organic matter-rich soils: influence of soil grain size and organic matter content on underground fires," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 45(1), pages 19-31, April.
    13. Drossel, B. & Schwabl, F., 1993. "Forest-fire model with immune trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 183-197.
    14. 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.
    15. Khakzad, Nima, 2019. "Modeling wildfire spread in wildland-industrial interfaces using dynamic Bayesian network," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 165-176.
    16. Bak, Per, 1992. "Self-organized criticality in non-conservative models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 41-46.
    17. De Caux, Robert & McGroarty, Frank & Brede, Markus, 2017. "The evolution of risk and bailout strategy in banking systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 109-118.
    18. Zinck, Richard D. & Johst, Karin & Grimm, Volker, 2010. "Wildfire, landscape diversity and the Drossel–Schwabl model," Ecological Modelling, Elsevier, vol. 221(1), pages 98-105.
    19. Macpherson, K.P. & MacKinnon, A.L., 1997. "One-dimensional percolation models of transient phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 1-13.
    20. Peyrard, N. & Dieckmann, U. & Franc, A., 2008. "Long-range correlations improve understanding of the influence of network structure on contact dynamics," Theoretical Population Biology, Elsevier, vol. 73(3), pages 383-394.

    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:eee:phsmap:v:208:y:1994:i:3:p:336-350. 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.