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Tree Structures in Immunology

  • J. K. Percus
Conference paper
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 17)

Abstract

An important component of the behavior of cell populations is often associated with branching processes in time, physical space, or more abstract configuration spaces. Several examples are presented, arising from studies in mathematical immunology. First is simple stem cell proliferation, with the hemopoietic stem cell as prototype, to introduce concepts, theorems, and approximations. Extension to multitype branching is then considered, as in macrophage production, with the analysis restricted to that of population moments. A further area of application is that of somatic mutations contributing to the fine scale diversity of antibody production, which is modeled to accommodate the machinery developed above. Finally, the immune network is introduced as an example in which branching in species space may capture a fair amount of the phenomenology.

Keywords

Cayley Tree Immune Network Bethe Lattice Hemopoietic Stem Cell Point Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • J. K. Percus
    • 1
  1. 1.Courant Institute of Math. Sci. and Physics Dept.New York UniversityNew YorkUSA

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