SIMULATIONS OF THE IMMUNOLOGICAL SHAPE SPACE: INFLUENCE OF THE INTERACTION RANGE IN AN ISING-LIKE MODEL

Hartmut Meyer
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Hartmut Meyer: Institute for Theoretical Physics, Cologne University, 50923 Köln, Germany

International Journal of Modern Physics C (IJMPC), 1995, vol. 06, issue 06, 765-772

Abstract: Stauffer7has replaced the window automata rules — applied by de Boer, Segel and Perelson2for simulating the immunological shape space — by probabilistic rules, very similar to the ones of the ferromagnetic Ising Model. Based on this model, we extend the interaction range to more than nearest neighbors and find phase transitions not only in higher dimensions, but also in two dimensions, Biologically these phase transitions correspond to a transition from a reasonable to a non-reasonable behavior of the whole immune network.

Keywords: Immunology; Ising Model; Multi-Dimensional; Extended Interaction Range (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1142/S0129183195000629

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