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The Hill equation is used extensively in pharmacology to quantify the functional parameters of a drug [citation needed] and are also used in other areas of biochemistry. The Hill equation can be used to describe dose-response relationships, for example ion channel open-probability (P-open) vs. ligand concentration.
The Hill equation can be used to describe dose–response relationships, for example ion channel-open-probability vs. ligand concentration. [9] Dose is usually in milligrams, micrograms, or grams per kilogram of body-weight for oral exposures or milligrams per cubic meter of ambient air for inhalation exposures. Other dose units include moles ...
However, a series of publications by Popova and Sel'kov [2] derived the MWC rate equation for the reversible, multi-substrate, multi-product reaction. The same problem applies to the classic Hill equation which is almost always shown in an irreversible form. Hofmeyr and Cornish-Bowden first published the reversible form of the Hill equation. [1]
The EC 50 represents the point of inflection of the Hill equation, beyond which increases of [A] have less impact on E. In dose response curves, the logarithm of [A] is often taken, turning the Hill equation into a sigmoidal logistic function. In this case, the EC 50 represents the rising section of the sigmoid curve.
British protein biophysicist at University College London known primarily for work in muscle biochemistry, but also for the Hill equation, still widely used for quantifying protein cooperativity. Nobel Prize in Physiology or Medicine (1922). Robin Hill FRS (1899–1991).
Hill equation (biochemistry) Hill differential equation This page was last edited on 28 December 2019, at 18:37 (UTC). Text is available under the Creative Commons ...
In the introduction to Hill equations, we read "The Hill-Langmuir equation was originally formulated by Archibald Hill in 1910 to describe the sigmoidal O2 binding curve of haemoglobin." It would be nice to have a figure with this graph, so that the less-sophisticated reader can get a sense of what the sigmoidal binding is, if someone has it.
In pharmacokinetics, the rate of infusion (or dosing rate) refers not just to the rate at which a drug is administered, but the desired rate at which a drug should be administered to achieve a steady state of a fixed dose which has been demonstrated to be therapeutically effective.
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