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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 ...
Hill's equation is an important example in the understanding of periodic differential equations. Depending on the exact shape of (), solutions may stay bounded for all time, or the amplitude of the oscillations in solutions may grow exponentially. [3] The precise form of the solutions to Hill's equation is described by Floquet theory. Solutions ...
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 ).
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011.
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 ...
The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations .
Fisher equation: Financial mathematics: Irving Fisher: Fisher's equation: Mathematics: Ronald Fisher: Fokker–Planck equation: Probability theory: Adriaan Fokker and Max Planck: Föppl–von Kármán equations: Elasticity: August Föppl and Theodore von Kármán: Fowler–Nordheim equation: Condensed matter physics: Ralph H. Fowler and Lothar ...