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Some Reflections on Memory in Shape Space

  • L. A. Segel
  • A. S. Perelson
Part of the Springer Series in Synergetics book series (SSSYN, volume 46)

Abstract

Elsewhere [1] we put forward a network model of the immune system that explicitly incorporates cross-reactivity between clones. Receptor shape and hence reactivity was described by a single real number, x, whose value might be viewed as representing the depth of the antibody combining site or the height of a complementary idiotypic “bump”. Each clone was thus described by a unique value of a shape parameter x, and a rule was specified for determining the degree of reactivity of clone x with other clones y. A population dynamic model of interacting clones in a one-dimensional “shape space” was then developed that led to certain strategic insights concerning the operation of the immune system.

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References

  1. [1]
    Segel, L.A. and Perelson, A.S. (1988). Computations in Shape Space. A New Approach to Immune Network Theory. In Theoretical Immunology, Part Two, A.S. Perelson, ed. Addison-Wesley, Redwood City, CA, pp. 321–343.Google Scholar
  2. [2]
    Segel, L.A. and Perelson, A.S. (1989). Shape space analysis of immune networks. In Theoretical Models for Cell to Cell Signalling (A. Goldbeter, ed). N.Y.: Academic Press, in press.Google Scholar
  3. [3]
    Segel, L.A. and Perelson, A.S. (1989). A paradoxical instability caused by relatively short range inhibition. SIAM J. Appl. Math, in press.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • L. A. Segel
    • 1
  • A. S. Perelson
    • 2
  1. 1.Department of Applied MathematicsWeizmann Institute of ScienceRehovotIsrael
  2. 2.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

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