Modeling immune reactivity in secondary lymphoid organs

Bull Math Biol. 1992 Jul;54(4):649-72. doi: 10.1007/BF02459638.

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.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.
  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Antibodies / metabolism
  • B-Lymphocytes / immunology
  • Lymphatic System / immunology*
  • Mathematics
  • Models, Biological*
  • Spleen / immunology

Substances

  • Antibodies