2006 | OriginalPaper | Buchkapitel
Positive or Negative Regulatory Circuit Inference from Multilevel Dynamics
Erschienen in: Positive Systems
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In the course of his work on the analysis of genetic regulatory networks represented by signed directed graphs, R. Thomas has proposed that the occurrence of a positive regulatory circuit is a necessary condition for the existence of multiple stable states, whereas a negative circuit is necessary to generate stable oscillations. Here, we formulate and prove a theorem establishing these rules in a multilevel discrete framework.