Immune Network: An Example of Complex Adaptive Systems

The phenomenon of immunological memory has been known for a long time. But, the unEnrlying mechanism is poorly unEnrstood. According to the theory of clonal selection the response to a specific invading antigen (e.g., bacteria) is offered by a specific clone of the cells. Some of the lymphocytes activated during the primary response remain dormant and keep circulating in the immune system for a long time carrying the memory of the encounter and, therefore, these long-lived cells are called memory cells. Proponents of the alternative network theory maintain that the immune response is offered by a “network” of clones in a collective manner. In recent years several possible scenarios of the “structure” and function of the immune network have been consiEnred. We have Enveloped mathematical Models for Enscribing the population dynamics of the immunocompetent cells in a unified manner. We have incorporated intra-clonal as well as inter-clonal interactions in a discrete formulation and also studied a continuum version of this Model.

[1]  A S Perelson,et al.  Pattern formation in one- and two-dimensional shape-space models of the immune system. , 1992, Journal of theoretical biology.

[2]  G. Hoffmann A critique of the Kaufman-Urbain-Thomas immune system network theory. , 1987, Journal of theoretical biology.

[3]  Sahimi,et al.  Ising model above the upper critical dimension: An application to biology. , 1993, Physical review letters.

[4]  Henri Atlan,et al.  Theories of Immune Networks , 1989, Springer Series in Synergetics.

[5]  October I Physical Review Letters , 2022 .

[6]  O Günther,et al.  [Immunology today]. , 1971, Allergie und Immunologie.

[7]  Gérard Weisbuch,et al.  Window automata analysis of population dynamics in the immune system. , 1992 .

[8]  P. Libby The Scientific American , 1881, Nature.

[9]  John D. Reynolds,et al.  The effect of antigen on the development of Peyer's patches in sheep , 1984, European journal of immunology.

[10]  D. C. DUMONDE,et al.  Immunological Reviews , 1964, Nature.

[11]  A. Coutinho,et al.  Autonomous activation of B and T cells in antigen‐free mice , 1986, European journal of immunology.

[12]  Ulrich Behn,et al.  Network description of the immune system: Dormant B cells stabilize cycles , 1989 .

[13]  Dietrich Stauffer,et al.  Metastability with probabilistic cellular automata in an HIV infection , 1990 .

[14]  A S Perelson,et al.  Localized memories in idiotypic networks. , 1990, Journal of theoretical biology.

[15]  H. Arnstein The molecular biology of the cell : B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts and J.D. Watson Garland Publishing; New York, London, 1983 xxxix + 1181 pages. $33.95 (hardback); $27.00, £14.95 (paperback, only in Europe) , 1986 .

[16]  Gérard Weisbuch,et al.  Control of the immune response , 1989 .

[17]  G. Oster,et al.  Theoretical studies of clonal selection: minimal antibody repertoire size and reliability of self-non-self discrimination. , 1979, Journal of theoretical biology.

[18]  Ras B. Pandey Cellular Automata Approach to Interacting Cellular Network Models for the Dynamics of Cell-Population in an Early HIV Infection , 1991 .

[19]  A. Perelson,et al.  Size and connectivity as emergent properties of a developing immune network. , 1991, Journal of theoretical biology.

[20]  G. Weisbuch,et al.  Immunology for physicists , 1997 .

[21]  S. Isola Understanding complex behaviour. Some remarks on method and intepretation, in `Chaos and Complexity', (Torino, October 5-11, 1987), R. Livi, S. Ruffo, S. Ciliberto and M. Buiatti eds., World Scientific. , 1988 .

[22]  D. Stauffer,et al.  A unified discrete model of immune response. , 1990, Journal of theoretical biology.

[23]  G. I. Bell,et al.  Mathematical model of clonal selection and antibody production. , 1970, Journal of theoretical biology.

[24]  Dietrich Stauffer,et al.  Systematics of the models of immune response and autoimmune disease , 1990 .

[25]  N. A. Mitchison Mathematical models in immunology , 1978, Nature.

[26]  Dietrich Stauffer,et al.  High-dimensional simulation of the shape-space model for the immune system , 1992 .

[27]  Dietrich Stauffer,et al.  Modeling Immune Network Through Cellular Automata: A Unified Mechanism Of Immunological Memory , 1994 .

[28]  E. Hill Journal of Theoretical Biology , 1961, Nature.

[29]  J. Davies,et al.  Molecular Biology of the Cell , 1983, Bristol Medico-Chirurgical Journal.

[30]  N. K. Jerne,et al.  The immune system. , 1973, Scientific American.

[31]  F. Varela,et al.  Exploring the Meaning of Connectivity in the Immune Network , 1989, Immunological reviews.

[32]  Peter C. Doherty,et al.  Virus-specific CD8+ T-cell memory determined by clonal burst size , 1994, Nature.

[33]  G. Hoffmann A theory of regulation and self‐nonself discrimination in an immune network , 1975, European journal of immunology.

[34]  N. K. Jerne,et al.  Idiotypic Networks and Other Preconceived Ideas , 1984, Immunological reviews.

[35]  A. Perelson Immune Network Theory , 1989, Immunological reviews.

[36]  D. Wormley,et al.  System Dynamics: An Introduction , 1996 .

[37]  M. Burnet The mechanism of immunity. , 1961, Scientific American.

[38]  Stephen Wolfram,et al.  Theory and Applications of Cellular Automata , 1986 .

[39]  H Atlan,et al.  Automata network theories in immunology: their utility and their underdetermination. , 1989, Bulletin of mathematical biology.

[40]  D. Chowdhury,et al.  A unified model of immune response. II: Continuum approach. , 1993, Journal of theoretical biology.

[41]  F. Varela,et al.  Second generation immune networks. , 1991, Immunology today.

[42]  G. Weisbuch,et al.  Dynamics and topology of idiotypic networks. , 1992, Bulletin of mathematical biology.

[43]  Michael F. Shlesinger,et al.  Perspectives in biological dynamics and theoretical medicine. , 1987, Annals of the New York Academy of Sciences.

[44]  J L van Hemmen,et al.  Memory to antigenic challenge of the immune system: synergy of idiotypic interactions and memory B cells. , 1993, Journal of theoretical biology.

[45]  F. Burnet The clonal selection theory of acquired immunity , 1959 .

[46]  J. Hiernaux,et al.  Some remarks on the stability of the idiotypic network. , 1977, Immunochemistry.

[47]  J. Doyne Farmer,et al.  A Rosetta stone for connectionism , 1990 .

[48]  Dietrich Stauffer,et al.  Statistical physics of immune networks , 1992 .

[49]  D. Gray,et al.  T cell memory is short-lived in the absence of antigen , 1988, Nature.

[50]  P. Richter,et al.  A network theory of the immune system , 1975, European journal of immunology.

[51]  H Atlan,et al.  Network regulation of autoimmunity: an automation model. , 1989, Journal of autoimmunity.

[52]  M Kaufman,et al.  Towards a logical analysis of the immune response. , 1985, Journal of theoretical biology.

[53]  W. Lee,et al.  Memory B and T cells. , 1991, Annual review of immunology.

[54]  T Marshall,et al.  Chaos and complexity. , 1999, The British journal of general practice : the journal of the Royal College of General Practitioners.

[55]  R. Paque,et al.  A History of Immunology , 1990 .

[56]  ScienceDirect Bulletin of mathematical biology , 1973 .

[57]  J. Sprent T and B memory cells , 1994, Cell.

[58]  Gérard Weisbuch,et al.  Complex Systems Dynamics , 1994 .

[59]  H. Lodish Molecular Cell Biology , 1986 .

[60]  A. Coutinho,et al.  Beyond Clonal Selection and Network , 1989, Immunological reviews.

[61]  A. Perelson,et al.  Lymphocyte memory and affinity selection. , 1995, Journal of theoretical biology.

[62]  R. Ahmed,et al.  Cytotoxic T-cell memory without antigen , 1994, Nature.

[63]  Franco Celada,et al.  Affinity maturation and hypermutation in a simulation of the humoral immune response , 1996, European journal of immunology.