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.
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 NERFINISHED ⓘ agonist concentration [A] ⓘ dissociation constant K_d ⓘ ligand concentration [L] ⓘ |
| introducedBy | Archibald Vivian Hill NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.