Literature DB >> 1591535

Modeling immune reactivity in secondary lymphoid organs.

A S Perelson1, G Weisbuch.   

Abstract

Models of the dynamical interactions important in generating immune reactivity have generally assumed that the immune system is a single well-stirred compartment. Here we explicitly take into account the compartmentalized nature of the immune system and show that qualitative conclusions, such as the stability of the immune steady state, depend on architectural details. We examine a simple model idiotypic network involving only two types of B cells and antibody molecules. We show, for model parameters used by De Boer et al. (1990, Chem. Eng. Sci. 45, 2375-2382), that the immune steady state is unstable in a one compartmental model but stable in a two compartment model that contains both a lymphoid organ, such as the spleen, and the circulatory system.

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Year:  1992        PMID: 1591535     DOI: 10.1007/bf02459638

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  22 in total

1.  Localized memories in idiotypic networks.

Authors:  G Weisbuch; R J De Boer; A S Perelson
Journal:  J Theor Biol       Date:  1990-10-21       Impact factor: 2.691

2.  Size and connectivity as emergent properties of a developing immune network.

Authors:  R J de Boer; A S Perelson
Journal:  J Theor Biol       Date:  1991-04-07       Impact factor: 2.691

Review 3.  Immune network theory.

Authors:  A S Perelson
Journal:  Immunol Rev       Date:  1989-08       Impact factor: 12.988

4.  Unreasonable implications of reasonable idiotypic network assumptions.

Authors:  R J De Boer; P Hogeweg
Journal:  Bull Math Biol       Date:  1989       Impact factor: 1.758

5.  Life span of B lymphocytes: the experimental basis for conflicting results.

Authors:  A A Freitas; B Rocha; A A Coutinho
Journal:  J Immunol       Date:  1986-01       Impact factor: 5.422

6.  The majority of "natural" immunoglobulin-secreting cells are short-lived and the progeny of cycling lymphocytes.

Authors:  M Lévy; P Vieira; A Coutinho; A Freitas
Journal:  Eur J Immunol       Date:  1987-06       Impact factor: 5.532

7.  Migration of bone marrow lymphocytes demonstrated by selective bone marrow labeling with thymidine-H3.

Authors:  F Brahim; D G Osmond
Journal:  Anat Rec       Date:  1970-10

8.  Population dynamics of B lymphocytes and their precursors: demonstration of high turnover in the central and peripheral lymphoid organs.

Authors:  A A Freitas; B Rocha; L Forni; A Coutinho
Journal:  J Immunol       Date:  1982-01       Impact factor: 5.422

9.  Towards a network theory of the immune system.

Authors:  N K Jerne
Journal:  Ann Immunol (Paris)       Date:  1974-01

10.  Regulation of natural antiallotype antibody responses by idiotype network-induced auto-antiidiotypic antibodies.

Authors:  L S Rodkey; F L Adler
Journal:  J Exp Med       Date:  1983-06-01       Impact factor: 14.307

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  7 in total

1.  Dynamics and topology of idiotypic networks.

Authors:  A U Neumann; G Weisbuch
Journal:  Bull Math Biol       Date:  1992-09       Impact factor: 1.758

2.  Contributions of memory B cells to secondary immune response.

Authors:  S G Guan; A S Qi
Journal:  Bull Math Biol       Date:  1995-09       Impact factor: 1.758

3.  A Cayley tree immune network model with antibody dynamics.

Authors:  R W Anderson; A U Neumann; A S Perelson
Journal:  Bull Math Biol       Date:  1993-11       Impact factor: 1.758

4.  Complex behaviours of AB model describing idiotypic network.

Authors:  L B Zhang; C Y Du; A S Qi
Journal:  Bull Math Biol       Date:  1994-03       Impact factor: 1.758

5.  Immune networks modeled by replicator equations.

Authors:  P F Stadler; P Schuster; A S Perelson
Journal:  J Math Biol       Date:  1994       Impact factor: 2.259

6.  Immune network behavior--II. From oscillations to chaos and stationary states.

Authors:  R J De Boer; A S Perelson; I G Kevrekidis
Journal:  Bull Math Biol       Date:  1993       Impact factor: 1.758

7.  Immune network behavior--I. From stationary states to limit cycle oscillations.

Authors:  R J De Boer; A S Perelson; I G Kevrekidis
Journal:  Bull Math Biol       Date:  1993       Impact factor: 1.758

  7 in total

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