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Monte Carlo Simulation Of Ising-Like Immunological Shape Space

Author

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  • DIETRICH STAUFFER

    (Physics Department, St.F.X. University, Antigonish, N.S. B2G 2W5, Canada)

Abstract

The high-dimensional shape space for the antibodies of the immune system is simulated with an Ising-like interaction. However, instead of the molecular field being linear in the sum of the neighbor spins, we take it as quadratic and negative. In this way the bell-shaped response curve of biological immune systems is approximated, as a probabilistic generalization of window automata. We find phase transitions only in five and more dimensions, not in two to four, for nearest-neighbor interactions.

Suggested Citation

  • Dietrich Stauffer, 1994. "Monte Carlo Simulation Of Ising-Like Immunological Shape Space," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 513-518.
    • Handle: RePEc:wsi:ijmpcx:v:05:y:1994:i:03:n:s0129183194000696
    DOI: 10.1142/S0129183194000696
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