Window automata analysis of population dynamics in the immune system

Avidan U. Neumann; Gérard Weisbuch

doi:10.1007/BF02458618

Window automata analysis of population dynamics in the immune system

Avidan U. Neumann, Gérard Weisbuch

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	21-44
Number of pages	24
Journal	Bulletin of Mathematical Biology
Volume	54
Issue number	1
DOIs	https://doi.org/10.1007/BF02458618
State	Published - Jan 1992
Externally published	Yes

Bibliographical note

Funding Information:
The Laboratoire de Physique Statistique is associated with CNRS (URA 1306) and we acknowledge financial support from Inserm grant 879002. AUN is supported by a Chateaubriand Fellowship.

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abstract = "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.",

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Window automata analysis of population dynamics in the immune system

Abstract

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