Phase transitions in immune networks

The transitions between different regime dynamics of Jerne networks are investigated both numerically and algebraically. Possible attractor regimes are vaccination, tolerance, extended localized or percolation. Parameters are activation thresholds, decay rates, proliferation maximum rate and antigen presentation parameters.

Neumann, A. and Weisbuch, G. (1992). Window automata analysis of population dynamics in the immune system. Bull. Math. Biol. 54, 21--44.

Neumann, A. and Weisbuch, G. (1992). Dynamics and topology of idiotypic networks. Bull. Math. Biol. 54, 699--726.