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Extensive Percolation in Reasonable Idiotypic Networks

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Theories of Immune Networks

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 46))

Abstract

We analyse a mathematical model specifying profound networks of idiotypic interactions amongst B cell clones. In the model we incorporate only fundamental assumptions about idiotypic interactions. Nevertheless, this “reasonable” idiotypic network model displays very “unreasonable” behaviour. As soon as the network is formulated as a profound network structure it displays “extensive percolation” of idiotypic signals. Thus the first antigenic perturbation of the network is expected to affect most of the clones. We have attempted to solve these problems by extending the model with seemingly important theoretical and/or immunological insights, but as yet we have failed. Therefore, our present interpretation of these “unrealistic” results is that immune systems do not function by means of profound network structures.

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Author information

Authors and Affiliations

  1. Bioinformatics Group, University of Utrecht, Padualaan 8, NL-3584 CH, Utrecht, The Netherlands

    R. J. De Boer

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  1. R. J. De Boer
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Editor information

Editors and Affiliations

  1. Department of Medical Biophysics, Hadassah University Hospital, P.O. Box 12000, IL-51120, Jerusalem, Israel

    Henri Atlan

  2. Faculté de Médecine, Broussait-Hotel Dieu, Université de Paris VI, 15 rue de l’Ecole de Médecine, F-75008, Paris, France

    Henri Atlan

  3. The Weizmann Institute of Science, Rehovot, Israel

    Irun R. Cohen

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© 1989 Springer-Verlag Berlin, Heidelberg

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De Boer, R.J. (1989). Extensive Percolation in Reasonable Idiotypic Networks. In: Atlan, H., Cohen, I.R. (eds) Theories of Immune Networks. Springer Series in Synergetics, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83935-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-83935-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83937-5

  • Online ISBN: 978-3-642-83935-1

  • eBook Packages: Springer Book Archive

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