Thomas rules for multistationarity and oscillations

E68060

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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Generate an image of Thomas rules for multistationarity and oscillations (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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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 ⓘ
systems biology ⓘ
theoretical biology ⓘ
hasComponent 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 ⓘ

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

René Thomas → knownFor → Thomas rules for multistationarity and oscillations ⓘ
Thomas rules for multistationarity and oscillations → hasComponent → Thomas rule for multistationarity ⓘ
linked to: Thomas rules for multistationarity and oscillations