Chemical basis of antigen-antibody interaction Antibodies bind antigens through weak chemical interactions, and bonding is essentially
non-covalent.
Electrostatic interactions,
hydrogen bonds,
van der Waals forces, and
hydrophobic interactions are all known to be involved depending on the interaction sites. Non-covalent bonds between antibody and antigen can also be mediated by interfacial water molecules. Such indirect bonds can contribute to the phenomenon of cross-reactivity, i.e. the recognition of different but related antigens by a single antibody.
Affinity of the interaction Antigen and antibody interact through a high affinity binding much like lock and key. A dynamic equilibrium exists for the binding. For example, the reaction is a reversible one, and can be expressed as: :[Ab] + [Ag] [AbAg] where [Ab] is the
antibody concentration and [Ag] is the
antigen concentration, either in free ([Ab],[Ag]) or bound ([AbAg]) state. The equilibrium association constant
Ka can therefore be represented as: :K_a = \frac{k_\ce{on}}{k_\ce{off}} = \frac\ce{[AbAg]}\ce{[Ab] [Ag]} where
kon and
koff are the association and dissociation rate constants, respectively. Reciprocally, the equilibibrium dissociation constant
Kd will be: :K_d = \frac{k_\ce{off}}{k_\ce{on}} = \frac\ce{[Ab] [Ag]}\ce{[AbAg]} The antibody-antigen binding kinetic can be described by the
rate equation of a
second-order reversible reaction. However, these equations are applicable only to a single epitope binding, i.e. one antigen on one antibody. Since the antibody necessarily has two paratopes, and in many circumstances complex binding occurs, the multiple binding equilibrium can be summed up as: :K_a = \frac{k_\ce{on}}{k_\ce{off}} = \frac\ce{[AbAg]}\ce{[Ab] [Ag]} = \frac r {c(n-r)} where, at equilibrium, c is the concentration of free ligand, r represents the ratio of the concentration of bound ligand to total antibody concentration and n is the maximum number of binding sites per antibody molecule (the antibody valence). The overall strength of the binding of an antibody to an antigen is termed its
avidity for that antigen. Since antibodies are bivalent or polyvalent, this is the sum of the strengths of individual antibody-antigen interactions. The strength of an individual interaction between a single
binding site on an antibody and its target epitope is termed the affinity of that interaction. Avidity and affinity can be judged by the
dissociation constant for the interactions they describe. The lower the dissociation constant, the higher the avidity or affinity, and the stronger the interaction. ==Autoimmune disease==