Hill equation
E665245
The Hill equation is a mathematical expression used in biochemistry and physiology to describe how the binding of ligands to macromolecules or the response to a drug depends on ligand concentration, often capturing cooperative binding behavior.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Hill coefficient | 2 |
| Hill equation canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7454075 — 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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hill equation Context triple: [A. V. Hill, notableWork, Hill equation]
-
A.
Carothers equation
The Carothers equation is a fundamental relation in polymer chemistry that links the average degree of polymerization to the extent of reaction in step-growth polymerizations.
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B.
Charney equation
The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
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C.
Eyring equation
The Eyring equation is a fundamental expression in chemical kinetics that relates reaction rates to temperature using transition state theory, providing insight into activation parameters such as enthalpy and entropy.
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D.
Randles–Ševčík equation
The Randles–Ševčík equation is a fundamental electrochemical relationship that links peak current in cyclic voltammetry to the concentration and diffusion coefficient of a redox-active species.
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E.
Butler–Volmer equation
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hill equation Target entity description: The Hill equation is a mathematical expression used in biochemistry and physiology to describe how the binding of ligands to macromolecules or the response to a drug depends on ligand concentration, often capturing cooperative binding behavior.
-
A.
Carothers equation
The Carothers equation is a fundamental relation in polymer chemistry that links the average degree of polymerization to the extent of reaction in step-growth polymerizations.
-
B.
Charney equation
The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.
-
C.
Eyring equation
The Eyring equation is a fundamental expression in chemical kinetics that relates reaction rates to temperature using transition state theory, providing insight into activation parameters such as enthalpy and entropy.
-
D.
Randles–Ševčík equation
The Randles–Ševčík equation is a fundamental electrochemical relationship that links peak current in cyclic voltammetry to the concentration and diffusion coefficient of a redox-active species.
-
E.
Butler–Volmer equation
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
binding equation
ⓘ
dose–response model ⓘ mathematical model ⓘ |
| appliedIn |
allosteric protein analysis
ⓘ
enzyme kinetics ⓘ gene regulation modeling ⓘ pharmacodynamics ⓘ receptor–ligand binding analysis ⓘ |
| assumes |
equilibrium binding
ⓘ
identical and independent binding sites when n = 1 ⓘ |
| captures |
cooperative binding behavior
ⓘ
sigmoidal dose–response relationships ⓘ |
| characterizes |
fraction of occupied binding sites
ⓘ
fractional biological response ⓘ |
| curveShape | sigmoidal ⓘ |
| describes |
drug response as a function of concentration
ⓘ
ligand binding to macromolecules ⓘ |
| domain | continuous ligand concentrations ⓘ |
| field |
biochemistry
ⓘ
pharmacology ⓘ physiology ⓘ systems biology ⓘ |
| hasAlternativeForm |
E = E_max [A]^n / (EC50^n + [A]^n)
ⓘ
θ = [L]^n / (K_d + [L]^n) ⓘ |
| hasGeneralForm | Y = [L]^n / (K_d + [L]^n) ⓘ |
| hasLimitingBehavior |
response approaches 0 as ligand concentration approaches 0
ⓘ
response approaches maximum as ligand concentration becomes very large ⓘ |
| hasParameter |
EC50
ⓘ
E_max ⓘ Hill coefficient ⓘ
linked to:
Hill equation
agonist concentration [A] ⓘ dissociation constant K_d ⓘ ligand concentration [L] ⓘ |
| introducedBy |
Archibald Vivian Hill
ⓘ
linked to:
A. V. Hill
|
| models |
negative cooperativity when Hill coefficient n < 1
ⓘ
positive cooperativity when Hill coefficient n > 1 ⓘ |
| originalContext | oxygen binding to hemoglobin ⓘ |
| range | fractional response between 0 and 1 ⓘ |
| reducesTo | Langmuir isotherm when Hill coefficient n = 1 ⓘ |
| relatedTo |
Hill plot
ⓘ
Michaelis–Menten equation ⓘ logistic function ⓘ |
| usedFor |
estimating EC50 from dose–response data
ⓘ
estimating K_d from binding data ⓘ quantifying cooperativity via Hill coefficient ⓘ |
| usesVariable |
effect E
ⓘ
fractional occupancy θ ⓘ response Y ⓘ |
| yearIntroduced | 1910 ⓘ |
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.
Instruction
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.
Input
Subject: Hill equation Description of subject: The Hill equation is a mathematical expression used in biochemistry and physiology to describe how the binding of ligands to macromolecules or the response to a drug depends on ligand concentration, often capturing cooperative binding behavior.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Hill equation
linked to: Hill equation