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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.
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.
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.
For 1:1 reversible binding Equilibrium Kd is defined as (1) K d ≡k off /k on =R*L/RL. the binding is reversible so conservation of mass can be written as (2) R T = R+RL (3) L T = L +RL. Where: K d = equilibrium dissociation constant k on = forward rate constant k off = reverse rate constant R = free receptor site concentration at equilibrium
The affinity between protein and ligand is given by the equilibrium dissociation constant K d or the inverse of the association constant 1/K a (or binding constant 1/K b) that relates the concentrations of the complexed and uncomplexed species in solution. The dissociation constant is defined as K d = [] [] []
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.