Size and connectivity of the idiotypic network are independent of the discreteness of the affinity distribution

Journal of Theoretical Biology

Volumn 183, Issue 4, 1996, Pages 409-416

  Detours, Vincent ^a   Sulzer, Bernhard ^a   Perelson, Alan S ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IDIOTYPIC ANTIBODY;

ANTIBODY AFFINITY; ARTICLE; B LYMPHOCYTE; IMMUNE SYSTEM; LYMPHOCYTE CLONE; MODEL; PRIORITY JOURNAL;

EID: 0030597505     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0231     Document Type: Article

References (34)

1. ANDERSON, R. W., NEUMANN, A. U. & PERELSON, A. S. (1993). A cayley tree immune network model with antibody dynamics. Bull. Math. Biol. 55, 1091-1131.
2. BOUTET DE MONVEL, J. H. & MARTIN, O. C. (1995). Memory capacity in large idiotypic networks. Bull. Math. Biol. 57, 109-136.
3. CARLSSON, L. & HOLMBERG, D. (1990). Genetic basis of the neonatal antibody repertoire: germline V-gene expression and limited N-region diversity. Int. Immunol. 2, 639-643.
4. CELADA, F. (1971). The cellular basis of immunologic memory. Prog. Allergy 14, 223-267.
5. COUTINHO, A., FORNI, L., HOLMBERG, D., IVARS, F. & VAZ, N. N. (1984). From an antigen centered, clonal perspective of immune responses to an organism centered, network perspective of autonomous activity in a self-referential system. Immunol. Rev. 79, 151-169.
6. COUTINHO, A. (1989). Beyond clonal selection and network. Immunol. Rev. 110, 63-87.
7. DE BOER, R. J. & HOGEWEG, P. (1989). Memory but no suppression in low-dimensional symmetric idiotypic networks. Bull. Math. Biol. 51, 223-246.
8. DE BEOER, R. J. & PERELSON, A. S. (1991). Size and connectivity as emergent properties of a developing immune network. J. theor. Biol. 149, 381-424.
9. DE BOER, R. J., KEVREKIDIS, I. G. & PERELSON, A. S. (1990). A simple idiotypic network model with complex dynamics. Chem. Eng. Sci. 45, 2375-2382.
10. DE BOER, R. J., HOGEWEG, P. & PERELSON, A. S. (1992). Growth and recruitment in the immune network. In: Theoretical and Experimental Insight into Immunology (Perelson, A. S., Weisbuch, G. & Coutinho, A., eds) pp. 249-260, Berlin: Springer.
11. DE BOER, R. J., PERELSON, A. S. & KEVREKIDIS, I. G. (1993). Immune network behavior I: From stationary states to limit cycle oscillations. Bull. Math. Biol. 55, 745-780.
12. DINTZIS, R. Z., MIDDLETON, M. H. & DINTZIS, H. M. (1983). Studies on the immunogenicity and tolerogenicity of T-independent antigens. J. Immunol. 131, 2196-2203.
13. FARMER, J. D., PACKARD, N. H. & PERELSON, A. S. (1986). The immune system, adaption and machine learning. Physica D 22, 187-204.
14. FORREST, S., JAVORNIK, B., SMITH, R. E. & PERELSON, A. S. (1993). Using genetic algorithms to explore pattern recognition in the immune system. Evolutionary Computation 1, 191-211.
15. HIGHTOWER, R., FORREST, S. & PERELSON, A. S. (1996). The Baldwin effect in the immune system: Learning by somatic hypermutation. In: Adaptive Individuals in Evolving Populations: Models and Algorithms (Belew, R. K. & Mitchell, M., eds) pp. 159-167, Reading, MA: Addison-Wesley.
16. HOLMBERG, D., FORSGREN, S., IVARS, F. & COUTINHO, A. (1984). Reactions amongst IgM antibodies derived from normal, neonatal mice. Eur. J. Immunol. 14, 435-441.
17. HOLMBERG, D., WENNERSTRÖM, G., ANDRADE, L. & COUTINHO, A. (1986). The high idiotypic connectivity of 'natural' newborn antibodies is not found in adult mitogen-reactive B cell repertoires. Eur. J. Immunol. 16, 82-87.
18. HOOIJKAAS, H., BENNER, R., PLEASANTS, J. R. & WOSTMAN, B. (1984). Isotypes and specificities of immunoglobulin produced by germ-free mice fed chemically defined ultrafiltred "antigen-free" diet. Eur. J. Immunol. 14, 1127-1130.
19. HUETZ, F., SCIARD-LARSSON, E.-L., PEREIRA, P., PORTNOI, D. & COUTINHO, A. (1988). T cell dependence of the "natural" autoreactive B cell activation in the spleen of normal mice. Eur. J. Immunol. 18, 1615-1622.
20. JERNE, N. K. (1974). Towards a network theory of the immune system. Ann. Immunol. (Inst. Pasteur) 125C, 373-389.
21. H gene expression and idiotype anti-idiotype expression in early B cells. In: Evolution and Vertebrate Immunity: The Antigen Receptor and MHC Gene Families (Kelsoe, G. & Schulze, D., eds) pp. 175-190, Austin, TX: University of Texas Press.
22. NEUMANN, A. U. & WEISBUCH, G. (1992a). Dynamics and topology of immune networks. Bull. Math. Biol. 54, 699-726.
23. NEUMANN, A. U. & WEISBUCH, G. (1992b). Window automata analysis of population dynamics of the immune system. Bull. Math. Biol. 54, 21-44.
24. PEREIRA, P., FORNI, L., LARSSON, E.-L., COOPER, M., HEUSSER, C. & COUTINHO, A. (1986). Autonomous activation of T and B cells in antigen-free mice. Eur. J. Immunol. 16, 685-688.
25. PERELSON, A. S. & WEISBUCH, G. (1997). Immunology for physicists. Rev. Mod. Phys. in press.
26. PERELSON, A. S., HIGHTOWER, R. & FORREST, S. (1996). Evolution and somatic learning in V-region genes. Res. Immunol. 147, 7-12.
27. SEIDEN, P. E. & CELADA, F. (1992). A model for simulating cognate recognition and response in the immune system. J. theor. Biol. 158, 329-357.
28. STEWART, J. & VARELA, F. J. (1990). Dynamics of a class of immune networks: Oscillatory activity of cellular and humoral components. J. theor. Biol. 144, 103-115.
29. SULZER, B., NEUMANN, A. U., VAN HEMMEN, J. L. & BEHN, U. (1993). Memory in idiotypic networks due to competition between proliferation and differentiation. Bull. Math. Biol. 55, 1133-1182.
30. SULZER, B., VAN HEMMEN, J. L. & BEHN, U. (1994). Central immune system, the self, and autoimmunity. Bull. Math. Biol. 56, 1009-1040.
31. VARELA, F. J. & COUTINHO, A. (1991). Second generation immune networks. Immunol. Today 12, 159-166.
32. VARELA, F. J. & STEWART, J. (1990). Dynamics of a class of immune networks: Global stability of idiotype interactions. J. theor. Biol. 144, 93-101.
33. WEISBUCH, G. & OPREA, M. (1994). Capacity of a model immune network. Bull. Math. Biol. 56, 899-921.
34. WEISBUCH, G., DE BOER, R. J. & PERELSON, A. S. (1990). Localized memory in idiotypic networks. J. theor. Biol. 144, 483-499.