TY - JOUR
T1 - Window automata analysis of population dynamics in the immune system
AU - Neumann, Avidan U.
AU - Weisbuch, Gérard
PY - 1992/1
Y1 - 1992/1
N2 - A formalism based on window automata is proposed as a method to analyse complex population dynamics. The method is applied to a model of the immune network (Weisbuch, G. et al., 1990. J. theor. Biol. 146, 483-499), and used to predict which attractor the system reaches after antigenic stimulation, as a function of the parameters. The attractors of the dynamics are interpreted in terms of immune conditions such as vaccination or tolerance. Scaling laws that define the regimes in the parameter space corresponding to the specific attractor reached under antigenic stimulation are derived.
AB - A formalism based on window automata is proposed as a method to analyse complex population dynamics. The method is applied to a model of the immune network (Weisbuch, G. et al., 1990. J. theor. Biol. 146, 483-499), and used to predict which attractor the system reaches after antigenic stimulation, as a function of the parameters. The attractors of the dynamics are interpreted in terms of immune conditions such as vaccination or tolerance. Scaling laws that define the regimes in the parameter space corresponding to the specific attractor reached under antigenic stimulation are derived.
UR - http://www.scopus.com/inward/record.url?scp=85056011334&partnerID=8YFLogxK
U2 - 10.1016/s0092-8240(05)80174-0
DO - 10.1016/s0092-8240(05)80174-0
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C2 - 25665659
AN - SCOPUS:85056011334
SN - 0092-8240
VL - 54
SP - 21
EP - 44
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 1
ER -