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The Gaddum equation is a further generalisation of the Hill-equation, incorporating the presence of a reversible competitive antagonist. [1] The Gaddum equation is derived similarly to the Hill-equation but with 2 equilibria: both the ligand with the receptor and the antagonist with the receptor.
He showed that for many drugs, the relationship between drug concentration and biological effect corresponded to a hyperbolic curve, similar to that representing the adsorption of a gas onto a metal surface [11] and fitted the Hill–Langmuir equation. [3] Clark, together with Gaddum, was the first to introduce the log concentration–effect ...
Example Bjerrum plot: Change in carbonate system of seawater from ocean acidification.. A Bjerrum plot (named after Niels Bjerrum), sometimes also known as a Sillén diagram (after Lars Gunnar Sillén), or a Hägg diagram (after Gunnar Hägg) [1] is a graph of the concentrations of the different species of a polyprotic acid in a solution, as a function of pH, [2] when the solution is at ...
This is the Hill-Langmuir equation, which is practically the Hill equation described for the agonist binding. In chemistry, this relationship is called the Langmuir equation , which describes the adsorption of molecules onto sites of a surface (see adsorption ).
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.
"Soup or Salad" is a webcomic series created by Tom Mike Hill. It's a slice-of-life and comedy comic centered on the mild adventures of characters Ken and Russell. The series is hosted on ...
We can consider as an example a positively charged ion, such as K +, and a negatively charged membrane, as it is commonly the case in most organisms. [4] [5] The membrane voltage opposes the flow of the potassium ions out of the cell and the ions can leave the interior of the cell only if they have sufficient thermal energy to overcome the energy barrier produced by the negative membrane ...