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Cited by 85thermodynamics and calorimetric analysesHemoglobin structure and functionProtein Interaction Studies and Fluorescence Analysis

The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.

Evaluation of Hill Slopes and Hill Coefficients when the Saturation Binding or Velocity is not Known

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ENDRENYI, Laszlo, KWONG, F. H. F., FAJSZI, Csaba·1975·European Journal of Biochemistry
DOI 10.1111/j.1432-1033.1975.tb03931.x
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Abstract

1. The Hill coefficient (nH), an often-used measure of deviations from hyperbolic behaviour (nonhyperbolicity) in kinetic and binding systems, is usually estimated from the maximum or minimum slope of the Hill plot. The method depends strongly on the assumed magnitude of the asymptotic velocity (V) or binding (P) whose evaluation may be difficult in nonlinear/co-operative systems. Therefore, alternative procedures were devised for the estimation nH which do not require the prior knowledge of V or P. 2. When pairs of velocity/binding readings (v and w) are obtained at concentrations of c and alpha c, respectively (where alpha is a fixed constant), then the relation between w and v is described by a hyperbola, provided that Hill's equation is valid. In this case, linearizing plots, v/w versus v, w versus, w/v, and 1/w versus 1/v, can be used for estimation of the degree of the equation. However, if the Hill expression is applicable, these methods are not efficient and traditional procedures, particularly nonlinear regression, should be used. 3. The 'linearizing' plots of the Hill equation can be applied advantageously for the evaluation of the Hill slope and of nH also in the general case, when the Hill expression is actually not valid, provided that deviations from hyperbolic behaviour are positive. Appropriately extrapolated intercepts of the first two plots estimate alphanH. Furthermore, the slope of the third plot yields, similarly to the method of Kurganov et al., a continuous measure of the Hill slope (including its maximum) at all concentrations. The agreement is, at positive nonhyperbolicities, excellent theoretical values of Hill slopes and coefficients and those estimated by the proposed methods. 4. A coefficient of nonhyperbolicity (theta) is defined for 2nd-degree rate equations which provides a quantitative measure of positive or negative deviation from first-degree, hyperbolic characteristics. It is closely related to the Hill coefficient.

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Citations

Cites

Research works printed but not linked: 15

  1. 3. L. Endrenyi, F. H. F. Kwong, H. C. Hemker, and B. Hess (1973 ) inAnalysis and Stimulation of Biochemical Systems () pp.219 -237 , North-Holland, Amsterdam.
  2. Hill A. V., 1910, J. Physiol. (Lond.), 40, iv
  3. Glende M., 1972, Acta Biol. Med. Germ., 29, 595
  4. Wieker H.-J., 1973, Acta Biol. Med. Germ., 31, 259
  5. Parker R. B., 1971, J. Pharmacol. Exp. Ther., 177, 1
  6. Endrenyi L., 1972, Fed. Proc., 31, 535
  7. Whitehead E. P., 1973, Acta Biol. Med. Germ., 31, 227
  8. Silonova G. V., 1969, Mol. Biol., 3, 768
  9. Kurganov B. I., 1972, Dokl. Akad. Nauk SSSR, 203, 1414
  10. Kurganov B. I., 1973, Acta Biol. Med. Germ., 31, 181
  11. Moosavi S. F. H., 1974, Proc. Can. Fed. Biol. Soc., 17, 162
  12. Kagan Z. S., 1970, Biokhimiya, 35, 937
  13. Kurganov B. I., 1972, Mol. Biol., 6, 113
  14. Kurganov B. I., 1972, Mol. Biol., 6, 397
  15. Kurganov B. I., 1972, Mol. Biol., 6, 797

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Metadata

Authors
ENDRENYI, L., KWONG, F. H. F., & FAJSZI, C.
Affiliations
  • University of Toronto (CA)
  • HUN-REN Szegedi Biológiai Kutatóközpont (HU)
Venue
European Journal of Biochemistry
Publisher
Wiley
Published
1975-02
Volume
51
Issue
2
Pages
317-328
ISSN
  • 0014-2956 (ISSN-L)
  • 1432-1033
DOI
10.1111/j.1432-1033.1975.tb03931.x
OpenAlex
W2071398227
Cited by
85
References
27
Citations by year
2026: 3 · 2024: 3 · 2023: 3 · 2022: 4 · 2021: 4 · 2020: 2 · 2019: 2 · 2018: 1 · 2016: 3 · 2014: 1
FWCI
4.19
Type
journal article
Language
en
Open access
Licence
doi.wiley.com/10.1002/tdm_license_1.1 (tdm, 14822 d)
Locations
  • European Journal of Biochemistry (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Physical Sciences › Chemistry › Physical and Theoretical Chemistry › thermodynamics and calorimetric analyses
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Biochemistry › Hemoglobin structure and function
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Interaction Studies and Fluorescence Analysis
Keywords
Hill coefficient, hillslopes, Hill equation, cooperative binding, enzyme kinetics, saturation velocity, binding affinity, Hill plot
MeSH terms
Binding Sites, Enzymes, Kinetics, Mathematics, Methods, Time Factors

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