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[7] [8] Because the slope of a Hill plot is equal to the Hill coefficient for the biochemical interaction, the slope is denoted by . A slope greater than one thus indicates positively cooperative binding between the receptor and the ligand, while a slope less than one indicates negatively cooperative binding.
The first description of cooperative binding to a multi-site protein was developed by A.V. Hill. [4] Drawing on observations of oxygen binding to hemoglobin and the idea that cooperativity arose from the aggregation of hemoglobin molecules, each one binding one oxygen molecule, Hill suggested a phenomenological equation that has since been named after him:
where E is the observed response or effect above baseline, and n, the Hill coefficient reflects the slope of the curve. [7] The EC 50 represents the point of inflection of the Hill equation, beyond which increases of [A] have less impact on E.
Global sensitivity measures such as the Hill coefficient do not characterise the local behaviours of the s-shaped curves. Instead, these features are well captured by the response coefficient measure [4] defined as: = In systems biology, such responses are referred to as elasticities.
The length of the initial rate period depends on the assay conditions and can range from milliseconds to hours. However, equipment for rapidly mixing liquids allows fast kinetic measurements at initial rates of less than one second. [7] These very rapid assays are essential for measuring pre-steady-state kinetics, which are discussed below.
The Miami-Dade Police Department released body camera footage on Monday afternoon from the incident that left both Miami Dolphins players Tyreek Hill and Calais Campbell detained briefly ahead of ...
Hofmeyr and Cornish-Bowden first published the reversible form of the Hill equation. [1] The equation has since been discussed elsewhere [ 3 ] [ 4 ] and the model has also been used in a number of kinetic models such as a model of Phosphofructokinase and Glycolytic Oscillations in the Pancreatic β-cells [ 5 ] or a model of a glucose-xylose co ...
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