The Possible Effects of the Aggregation of the Molecules of Haemoglobin on its Dissociation Curves.¶
Hill, A. V. (1910). The Possible Effects of the Aggregation of the Molecules of Haemoglobin on its Dissociation Curves. The Journal of Physiology, 40.
Cited by¶
5 citations across 5 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Dose-Response Relationship
- Response R is expressed as a function R = f(D) of dose D over a specified range, in the form first proposed by Hill (1910) to describe cooperative binding of oxygen to hemoglobin; the function typically has a characteristic shape—frequently sigmoidal on log dose—with an inflection point (ED50), a slope parameter (steepness at inflection), and asymptotic behavior (threshold at low dose, ceiling at high dose).
This sourceOriginal derivation of the sigmoidal R = D^n/(K + D^n) form (the Hill equation) from cooperative ligand binding; supports D47-019 (characteristic sigmoidal dose-response shape with ED50, slope, asymptotes).
- Response R is expressed as a function R = f(D) of dose D over a specified range, in the form first proposed by Hill (1910) to describe cooperative binding of oxygen to hemoglobin; the function typically has a characteristic shape—frequently sigmoidal on log dose—with an inflection point (ED50), a slope parameter (steepness at inflection), and asymptotic behavior (threshold at low dose, ceiling at high dose).
- Intrinsic Ceiling vs Input
- Receptor pharmacology is the canonical formal case, and it makes the two parameters mathematically explicit through the Hill equation, which fits a dose-response curve with two independent coefficients: \(E_{max}\), the asymptote, and \(EC_{50}\), the dose producing half-maximal response.
This sourceOrigin of the Hill equation, which fits a saturating dose-response curve with two independent parameters — the asymptote (Emax) and the half-maximal point (EC50/Kd).
- Receptor pharmacology is the canonical formal case, and it makes the two parameters mathematically explicit through the Hill equation, which fits a dose-response curve with two independent coefficients: \(E_{max}\), the asymptote, and \(EC_{50}\), the dose producing half-maximal response.
- Logistic Growth
- In receptor binding and neural saturation, response rises sigmoidally as bound receptors approach their finite total.
This sourceIntroduces the Hill equation, the canonical sigmoidal saturation curve for ligand/receptor binding as occupied sites approach their finite total.
- In receptor binding and neural saturation, response rises sigmoidally as bound receptors approach their finite total.
- Receptor Saturation
- Following the foundational binding-curve formalism of Hill (1910),
This sourceOriginal derivation of the sigmoidal R = D^n / (K + D^n) form (the Hill equation) from cooperative ligand binding; foundational mathematical structure for dose-response curves.
- Following the foundational binding-curve formalism of Hill (1910),
Domain-specific¶
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