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It is associated with the binding and unbinding reaction of receptor (R) and ligand (L) molecules, which is formalized as: R + L ⇌ RL. The reaction is characterized by the on-rate constant k on and the off-rate constant k off, which have units of M −1 s −1 and s −1, respectively. In equilibrium, the forward binding transition R + L → ...
Receptor–ligand binding kinetics also involves the on- and off-rates of binding. A main goal of receptor–ligand kinetics is to determine the concentrations of the various kinetic species (i.e., the states of the receptor and ligand) at all times, from a given set of initial concentrations and a given set of rate constants.
In coordination chemistry, a stability constant (also called formation constant or binding constant) is an equilibrium constant for the formation of a complex in solution. It is a measure of the strength of the interaction between the reagents that come together to form the complex. There are two main kinds of complex: compounds formed by the ...
The dissociation rate constant is defined using K off. [2] The Michaelis-Menten constant is denoted by K m and is represented by the equation K m = (K off + K cat)/ K on [definition needed]. The rates that the enzyme binds and dissociates from the substrate are represented by K on and K off respectively.
When each receptor has a single ligand binding site, the system is described by [] + [] [] with an on-rate (k on) and off-rate (k off) related to the dissociation constant through K d =k off /k on. When the system equilibrates,
The value of the equilibrium constant for the formation of a 1:1 complex, such as a host-guest species, may be calculated with a dedicated spreadsheet application, Bindfit: [4] In this case step 2 can be performed with a non-iterative procedure and the pre-programmed routine Solver can be used for step 3.
Because we assume identical binding sites with no cooperativity, the microscopic dissociation constant must be equal for every binding site and can be abbreviated simply as K D. In our example, K′ 1 is the amalgamation of a ligand binding to either of the three possible binding sites (I, II and III), hence three microscopic dissociation ...
Upon binding of an analyte to the ligand, the real-time kinetic rates (k on, k off) can be measured as changes in fluorescence intensity and the K d can be derived. This method can be used to investigate protein-protein interactions, as well as to investigate modulators of protein-protein interactions by assessing ternary complex formation.