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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Thomas rule for multistationarity | 1 |
| Thomas rules for multistationarity and oscillations canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T542378 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Thomas rules for multistationarity and oscillations Context triple: [René Thomas, knownFor, Thomas rules for multistationarity and oscillations]
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A.
Nyquist stability criterion
The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
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B.
Israel–Carter–Robinson uniqueness theorems
The Israel–Carter–Robinson uniqueness theorems are a set of results in general relativity showing that stationary, asymptotically flat black holes in four-dimensional spacetime are completely characterized by just their mass, charge, and angular momentum.
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C.
Dynamic Systems and Control Division
The Dynamic Systems and Control Division is a technical division of the American Society of Mechanical Engineers focused on the modeling, analysis, and control of dynamic engineering systems.
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D.
Into the Cool: Energy Flow, Thermodynamics, and Life
"Into the Cool: Energy Flow, Thermodynamics, and Life" is a popular science book that explores how thermodynamics and energy flow shape the emergence, complexity, and evolution of life and other natural systems.
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E.
On Equilibrium
On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Thomas rules for multistationarity and oscillations Target entity description: 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.
-
A.
Nyquist stability criterion
The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
-
B.
Israel–Carter–Robinson uniqueness theorems
The Israel–Carter–Robinson uniqueness theorems are a set of results in general relativity showing that stationary, asymptotically flat black holes in four-dimensional spacetime are completely characterized by just their mass, charge, and angular momentum.
-
C.
Dynamic Systems and Control Division
The Dynamic Systems and Control Division is a technical division of the American Society of Mechanical Engineers focused on the modeling, analysis, and control of dynamic engineering systems.
-
D.
Into the Cool: Energy Flow, Thermodynamics, and Life
"Into the Cool: Energy Flow, Thermodynamics, and Life" is a popular science book that explores how thermodynamics and energy flow shape the emergence, complexity, and evolution of life and other natural systems.
-
E.
On Equilibrium
On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
- F. None of above. chosen
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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Thomas rules for multistationarity and oscillations Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.