HIGH-DIMENSIONAL AND VERY LARGE CELLULAR-AUTOMATA FOR IMMUNOLOGICAL SHAPE SPACE

被引:7
作者
STAUFFER, D
SAHIMI, M
机构
[1] UNIV COLOGNE, INST THEORET PHYS, W-5000 COLOGNE 41, GERMANY
[2] FORSCHUNGSZENTRUM JULICH, HLRZ, W-5170 JULICH, GERMANY
[3] UNIV SO CALIF, DEPT CHEM ENGN, LOS ANGELES, CA 90089 USA
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1993年 / 4卷 / 02期
关键词
IMMUNOLOGY; CELLULAR AUTOMATA; PARALLEL COMPUTING; LARGE-SCALE SIMULATIONS;
D O I
10.1142/S0129183193000434
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Simulations with 10(9) cells are made on an iPSC Hypercube with 32 parallel i860 processors, updating more than a million sites per second and per processor. This size reaches into the size range of natural immune systems. Smaller sizes are simulated in higher dimensions up to ten. These cellular automata due to de Boer, van der Laan, and Hogeweg model the idiotypic shape space and differ from usual Ising models through interactions with the mirror sites of the lattice. For majority rules (voter rules) we find Ising-like behavior with a spontaneous magnetization vanishing at some critical temperature which approaches its mean field value for high dimensions. The previously observed self-organization in the form of domain formation is thus explained as spinodal decomposition.
引用
收藏
页码:401 / 408
页数:8
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