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 |
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Pages (from-to) | 21-44 |
Number of pages | 24 |
Journal | Bulletin of Mathematical Biology |
Volume | 54 |
Issue number | 1 |
DOIs | |
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.
Funding
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.
Funders | Funder number |
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Institut national de la santé et de la recherche médicale | |
Centre National de la Recherche Scientifique | URA 1306 |