Stochastic dynamics for idiotypic immune networks

Physica A: Statistical Mechanics and its Applications

Volumn 389, Issue 24, 2010, Pages 5903-5911

  Barra, Adriano ^a   Agliari, Elena ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

Random networks; Spin glasses; Theoretical immunology

Indexed keywords

IMMUNOLOGY; SPIN GLASS; STOCHASTIC SYSTEMS;

COARSE-GRAINED; IDIOTYPIC IMMUNE NETWORKS; IMMUNE NETWORK; OUT OF EQUILIBRIUM; RANDOM NETWORK; SECOND GENERATION; STOCHASTIC DYNAMICS; THEORETICAL IMMUNOLOGY;

STOCHASTIC MODELS;

EID: 77958464715     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.09.004     Document Type: Article

References (34)

1. A.K. Abbas, A.H. Lichtman, and J.S. Pober Cellular and Molecular Immunology 2007 Elsevier Ed.s
2. E. Jantsch The Self-Organizing Universe: Scientific and Human Implications of the Emerging Paradigm of Evolution 1990 Sys. Sc. World Order Libr
3. I. Lundkvist, A. Coutinho, F. Varela, and D. Holmberg Evidence for a functional idiotypic network among natural antibodies in normal mice Proc. Natl. Acad. Sci. 86 13 1989 5074 5078
4. P. Delves, S. Martin, D. Burton, and I. Roitt Riott's Essential Immunology 2005 Blackwell Publ
5. F.M. Burnet The Clonal Selection Theory of Acquired Immunity 1959 Vanderbilt Univ. Press Nashville
6. P. Elrich Studies in Immunity 1910 Wiley New York
7. N.K. Jerne Toward a network theory of the immune response Ann. Imm. 125 1974 C
8. A. Barra, and E. Agliari A statistical mechanics approach to autopoietic immune networks J. Stat. Mech. 2010 P30261
9. W.J. Dreyer, J.C. Bennett, Molecular bases of antibody formation: a paradox, Nobel Prize Lecture, 1965.
10. L.A. Segel, and A.S. Perelson Computations in shape space: a new approach to immune network theory A.S. Perelson, Theor. Imm. vol. 2 1988 Addison-Wiley Publ
11. L.A. Segel, and A.S. Perelson Shape space: an approach to the evaluation of cross-reactivity effects, stability and controllability in the immune system Imm. Lett. 22 1989 91 100
12. A. Lederberg, Genes and antibodies, Nobel Prize Lecture, 1958.
13. A. Barra The mean field Ising model trough interpolating techniques J. Stat. Phys. 132 2008
14. R.S. Ellis Large Deviations and Statistical Mechanics 1985 Springer New York
15. J. Wang, W. Selke, V. Dotsenko, and V.B. Andreichenko The two-dimensional random bond ising model at criticality Europhys. Lett. 11 1990 301 305
16. E. Agliari, M. Casartelli, and A. Vezzani Energy transport in an Ising disordered model J. Stat. 2009 P07041
17. E. Agliari, A. Barra, and F. Camboni Criticality in diluted mean field ferromagnets J. Stat. Mech. 2009 P09876
18. A.C.C. Coolen, R. Kuhn, and P. Sollich Theory of Neural Information Processing Systems 2005 Oxford University Press
19. H. Tuckwell Introduction to Theoretical Neurobiology Cambridge St. Math. Bio. 1988 Cambridge Press
20. M. Mzard, G. Parisi, and M.A. Virasoro Spin Glass Theory and Beyond 1987 World Scientific Singapore
21. P. Casali, Z. Pal, Z. Xu, and H. Zan DNA repair in antibody somatic hypermutation Trends Immunol. 27 2006
22. M. Liu, and D.G. Schatz Balancing AID and DNA Repair During Somatic Hypermutation 2009 Cell Press, Elsevier Ltd
23. D.J. Amit Modeling Brain Function: The World of Attractor Neural Network 1992 Cambridge University Press
24. B.K. Chakrabarti, and M. Acharyya Dynamic transitions and hysteresis Rev. Mod. Phys. 71 1999 3
25. W.A. Schultz Molecular Biology of Human Cancers : An Advanced Student's Text Book 2007 Springer Ed.r
26. K. Ludvig, and B. Park Kinetics of true-field Ising models and the Langevin equation: a comparison Phys. Rev. B 46 1992 9
27. J. Sethna, K. Dahmen, S. Kartha, J. Krumhansl, B. Roberts, and J. Shore Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations Phys. Rev. Lett. 70 1993 21
28. International Classification of Diseases, World Health Organization, 2007.
29. P.A. Cazenave, J. Roland, and P. Petit-Koskas The idiotypic network: internal images of rabbit immunoglobulin allotopes Ann. Imm. (Inst. Past.) 134 D 1983 7 16
30. G.C. Castellani, C. Giberti, C. Franceschi, and F. Bersani Stable state analysis of an immune network model Int. J. Bifurcation Chaos 8 1998 1285 1301 (Pubitemid 128188051)
31. R.J. De Boer Symmetric idiotypic networks: connectance and switching, stability and suppression Theor. Immun, vol. 2, Studies in the Sciences of Complexity 1988 Add.-Wiley Publ
32. R.J. De Boer, I.G. Kewrekidis, and A.S. Perelson Immune network behavior. From stationary to limit cycle oscillations Bull. Math. Biol. 55 1993 745 780
33. G.W. Hoffmann, T.A. Kion, R.B. Forsyth, K.G. Soga, and A. Cooper-Willis The N-dimensional network A.S. Perelson, Theor. Imm. vol. 2 1988 Addison-Wiley Publi
34. F. Varela, and A. Coutinho Second generation immune networks Imm. Today 12 1991 5