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)


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations