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.

Type

Journal article

Intellectual base

Primary research

Year

1910

DOI

10.1113/jphysiol.1910.sp001386

Link

https://doi.org/10.1113/jphysiol.1910.sp001386

Cited from

biology_ecology, pharmacology_toxicology, systems_cybernetics

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).

• 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).

• 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.

• 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.

Domain-specific

• Adsorption
  • Heterogeneous catalysis — reactants adsorb on the catalyst surface where the reaction barrier is lowered; Langmuir-Hinshelwood rate laws are the isotherm applied to reacting adsorbates, and catalyst deactivation is surface fouling read off a coverage curve. Activated-carbon water and air treatment — sorbent-column capacity, breakthrough point, and service life are sized directly from the isotherm, the home application of capacity-versus-kinetics reasoning. Chromatography — competitive adsorption sorts mixture components by differing affinities into an ordered elution, the separation mechanism itself. Gas separation and storage — pressure-swing adsorption and hydrogen/methane storage live on the same saturating capacity and reversible desorption (regeneration by pressure or temperature swing). Soil science and contaminant hydrology — pollutant transport is dominated by sorption to particle surfaces rather than bulk groundwater flow, with retardation read off the partition. Electrochemistry — electrode-electrolyte interfaces and electrical double layers obey adsorption thermodynamics, governing capacitance and surface coverage of electroactive species. Receptor-ligand binding (biophysics) — the Langmuir form reappears literally as the Hill / saturation-binding equation for finite receptor occupancy

Verification

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Links previously used in the corpus

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• https://scholar.google.com/scholar_lookup?author=A.+V.+Hill&publication_year=1910&title=The+possible+effects+of+the+aggregation+of+the+molecules+of+haemoglobin+on+its+dissociation+curves&journal=J.+Physiol.&volume=40&pages=iv-vii ×1

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