Thomas rules for multistationarity and oscillations

E68060

qualitative rule in gene regulatory network theory theoretical criterion in systems biology

Thomas rules for multistationarity and oscillations are qualitative criteria in the theory of gene regulatory networks that relate the presence of positive and negative feedback circuits to the possibility of multiple stable states and sustained oscillatory behavior.

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Observed surface forms (1)

Surface form	Occurrences
Thomas rule for multistationarity	1

Statements (46)

Predicate	Object
instanceOf	qualitative rule in gene regulatory network theory ⓘ theoretical criterion in systems biology ⓘ
aimsTo	link network topology to possible dynamical behaviors ⓘ
analyzes	sign structure of feedback loops ⓘ
appliedIn	modeling of cell cycle regulation ⓘ modeling of circadian clocks ⓘ modeling of developmental gene networks ⓘ
appliesTo	biological regulatory networks ⓘ discrete dynamical models of gene regulation ⓘ gene regulatory networks ⓘ
assumes	regulatory interactions can be classified as activating or inhibiting ⓘ
basedOn	signs of regulatory interactions ⓘ structure of interaction graphs ⓘ
category	rule-based criteria in dynamical systems ⓘ
clarifies	role of feedback sign in biological regulation ⓘ
concerns	necessary conditions for multiple stable states in regulatory networks ⓘ necessary conditions for sustained oscillatory behavior in regulatory networks ⓘ
coreConcept	feedback circuits ⓘ multistationarity ⓘ negative feedback circuits ⓘ positive feedback circuits ⓘ sustained oscillations ⓘ
doesNotProvide	sufficient conditions for multistationarity ⓘ sufficient conditions for oscillations ⓘ
field	dynamical systems theory ⓘ mathematical biology ⓘ Harvard Center for Systems Biology ⓘ surface form: systems biology theoretical biology ⓘ
hasComponent	Thomas rules for multistationarity and oscillations self-linksurface differs ⓘ surface form: Thomas rule for multistationarity Thomas rule for sustained oscillations ⓘ
implies	absence of negative circuits precludes sustained oscillations ⓘ absence of positive circuits precludes multistationarity ⓘ
influenced	development of qualitative modeling tools in systems biology ⓘ
involves	analysis of circuit parity ⓘ graph-theoretic representation of regulatory networks ⓘ qualitative dynamical reasoning ⓘ
namedAfter	René Thomas ⓘ
relatedTo	Boolean network models ⓘ logical modeling of regulatory networks ⓘ multi-valued logical models ⓘ
statesThat	the existence of a negative feedback circuit is a necessary condition for sustained oscillations ⓘ the existence of a positive feedback circuit is a necessary condition for multistationarity ⓘ
timePeriod	late 20th century ⓘ
usedFor	predicting potential for biological rhythms ⓘ predicting potential for cell differentiation states ⓘ qualitative analysis of gene network dynamics ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Thomas rules for multistationarity and oscillations → hasComponent → Thomas rules for multistationarity and oscillations self-linksurface differs ⓘ

this entity surface form: Thomas rule for multistationarity

René Thomas → knownFor → Thomas rules for multistationarity and oscillations ⓘ