Antigen-Antibody Binding Introductory article zumi Kumagai,Tohoku University,Sendai.Jopon Artice Contents Kouhei Tsumoto,Tohoku University,Sendai,Japan en- igenic Epitope (antigens).The bindina be Antigen-bindir resulting from various structural and energetic aspects. dy Affinity and Introduction immunoglobulin fold(Figure 2).The N-terminal domain of prevention and resolution of infection by foreign invaders the remaining domains have )while the latter is the constantregion (Cr such as viruses.Antibodies are a family of variable In addition,a comparison of V region sequences shows inte cions is their high sp that variability is not uniformly distributed but concen- ed into three areas called the hypervariable article,the structural and energetic aspects of antigen- antibody binding are described,focusing in particular on have demonstrated that the domain hoarnanibcdyecicalyrecognmizesiscognateantigen structure of the antibody molecule is a B barrel consisting of nine antiparallel B strands V regions)and seven an antigen (epitope)and an antigen-binding site in an antibody(paratope)is termed affinity.Each antibody unit has at least two six polypeptide segments,three from light variable antigen-b ling sites,and is domains and three from heavy variable domains.These tibody with its n which egments show vana lty in se is related to both the affinity of the reaction and the ence as be for the diversity found in the binding of the different antibodies.These six hypervariable segments are often referred to as the complementarity-determining sthat a more Antigen-Antibody Binding immunoglobulin fold that results in the CDRs being Antibody structure rame V domains and maintaining the integrity of the binding identical heavy chains linked together by disulfide bonds fer in amnt tial s in th sOu6cean work regions).This characteristic structure has led to chains.There are two different isotypes of light chains several approaches to the artificial design of novel and K).Immunoglobulin G(IgG)is the major type of antibodies by grafting new CDRs onto existing antibodies (Figure 3) (Figure 1). h scquences from various immunoglobulin molccules.This Canonical structure of CDRs shows that immunoglobulins are composed of various The antigen-binding specificity of an antibody is defined by ENCYCLOPEDIA OF LIFE SCIENCES/2001 Nature Publishing Group/www.els.net
Antigen–Antibody Binding Izumi Kumagai, Tohoku University, Sendai, Japan Kouhei Tsumoto, Tohoku University, Sendai, Japan Antibodies are a family of glycoproteins that bind specifically to foreign molecules (antigens). The binding between antibodies and antigens has high specificity and affinity resulting from various structural and energetic aspects. Introduction Antibodies (immunoglobulins) are produced by the immune system of vertebrates and are essential for the prevention and resolution of infection by foreign invaders such as viruses. Antibodies are a family of variable glycoproteins that bind specifically to foreign molecules (antigens). The most striking feature of antigen–antibody interactions is their high specificity and affinity. In this article, the structural and energetic aspects of antigen– antibody binding are described, focusing in particular on howan antibody specifically recognizes its cognate antigen and binds to it tightly. A binding strength between an antigenic determinant in an antigen (epitope) and an antigen-binding site in an antibody (paratope) is termed affinity. Each antibody unit has at least two antigen-binding sites, and is therefore bivalent, or multivalent, to its antigen. The functional combining strength of an antibody with its antigen, which is related to both the affinity of the reaction and the valencies of the antibody, is termed avidity. The signifi- cance of avidity to antigen–antibody binding is also described. Antigen–Antibody Binding Antibody structure The basic structure of an antibody (immunoglobulin) molecule comprises two identical light chains and two identical heavy chains linked together by disulfide bonds. There are five classes of immunoglobulins (IgG, IgA, IgM, IgD and IgE), which differ in amino acid sequence and number of domains in the constant regions of the heavy chains. There are two different isotypes of light chains (l and k). Immunoglobulin G (IgG) is the major type of immunoglobulin in normal serum and the most extensively investigated (Figure 1). The remarkable feature of the antibody molecule is revealed by comparison of amino acid sequences from various immunoglobulin molecules. This shows that immunoglobulins are composed of various copies of a folding unit of about 100 amino acids, each of which forms an independent similar structure called the immunoglobulin fold (Figure 2). The N-terminal domain of each polypeptide (heavy and light chains) is highly variable, while the remaining domains have constant sequences. The former domain is called the variable region (V region), while the latter is the constant region (C region). In addition, a comparison of V region sequences shows that variability is not uniformly distributed but concentrated into three areas called the hypervariable regions. Investigations into the structures of various antigen– antibody complexes have demonstrated that the domain structure of the antibody molecule is a b barrel consisting of nine antiparallel b strands (V regions) and seven C regions, and that the hypervariable regions are clustered at the end of the variable domain arms (Figure 3). The antigencombining site of antibodies is formed almost entirely by six polypeptide segments, three from light variable domains and three from heavy variable domains. These segments showvariability in sequence as well as in number of residues, and it is this variability that provides the basis for the diversity found in the binding characteristics of the different antibodies. These six hypervariable segments are often referred to as the complementarity-determining regions or CDRs. It was realized that a more constant sequence of residues outside of the CDRs was required to maintain the essential immunoglobulin fold that results in the CDRs being brought into three-dimensional proximity. These residues are referred to as the framework regions. The framework residues do not usually form bonds with the antigen. However, they are essential for producing the folding of the V domains and maintaining the integrity of the binding site. Thus, the antibody-binding sites are formed by six segments of variable structure (CDRs) supported by a scaffolding of essentially invariant architecture (framework regions). This characteristic structure has led to several approaches to the artificial design of novel antibodies by grafting newCDRs onto existing antibodies (Figure 3). Canonical structure of CDRs The antigen-binding specificity of an antibody is defined by the physical and chemical properties of its CDR surface. These in turn are determined by the conformation of the Article Contents Introductory article . Introduction . Antigen–Antibody Binding . Antigenic Epitope . Forces Involved in Antigen-binding . Affinity and Avidity . Biological Significance of Antibody Affinity and Multivalency ENCYCLOPEDIA OF LIFE SCIENCES / & 2001 Nature Publishing Group / www.els.net 1
Antigen-Antibody Binding Fab a ) Figure 1 Structu uctu re of lgG.The n lgG Fa (PD sing MOLSCRIPT. regions).While the structure of the CDR loops might vary om he ces of these CDRtioni thentignantbdy study have been structure has shown that many hav CDR loops that are similar in size to those of one of the afonmationFthee ypeof moc ob (the erve only a small repertoire of main-chain conformations,most of which are known from the set of immunoglobulin tructures s iar乙emgtcpod.Tmnevarabtetomahotaightdhan on of antibody dive ity.since the comntoofiemersof Ructur toward ndhidmlcDRbyeterehiceiPinecfheCRe amino acids in the CDRs.The structure of antibodie sent to the antig ns,altering the specificity and affinity shows that antibodies can recognize infinitely variable of hetbdnceriations within both the ENCYCLOPEDIA OF LIFE SCIENCES/2001 Na shingGroup/www.els.net
individual CDRs, by the relative disposition of the CDRs, and by the nature and disposition of the side-chains of the amino acids in the CDRs. The structure of antibodies shows that antibodies can recognize infinitely variable antigens by varying the amino acid sequences of the CDR loops (i.e. the surface structures of antigen-recognizing regions). While the structure of the CDR loops might vary randomly, there are certain preferred conformations. Such preferred conformations can be deduced from the lengths and sequences of these regions. CDR loop conformations in the antigen–antibody complexes whose three-dimensional structures have been solved by X-ray crystallographic study have been extensively analysed. Examination of the sequences of variable domains of unknown structure has shown that many have CDR loops that are similar in size to those of one of the known structures and contain identical residues at the sites responsible for the observed conformation. For five of the six hypervariable regions of most immunoglobulins (the only exception is CDR of heavy chain 3), there seems to be only a small repertoire of main-chain conformations, most of which are known from the set of immunoglobulin structures so far determined. These observations have interesting implications for the molecular mechanism involved in the generation of antibody diversity, since the combination of limited numbers of CDR loop structure creates infinite specificity toward foreign molecules. Sequence variations within the hypervariable regions modulate the surface that these canonical structures present to the antigens, altering the specificity and affinity of the antibodies. Sequence variations within both the Figure 1 Structure of immunoglobulin G (IgG). (a) Schematic representation of a typical IgG. The L and H chains are shown as solid lines, with the intramolecular disulfide linking Cys residues (S-S), that are characteristic of each immunoglobulin domain as shown in Figure 2. (b) Three-dimensional structure of IgG. The drawing is a composite of the crystal structures of human IgG Fab (PDB entry 21G2), and of human IgG Fc (PDB entry 1FC2). Some of the residues connecting Fab with Fc have not been visualized in the crystal structure; their probable location is indicated by the unconnected circles. Drawn using MOLSCRIPT. Figure 2 The immunoglobulin fold. The variable domain of a light chain is shown. Drawn using MOLSCRIPT. Antigen–Antibody Binding 2 ENCYCLOPEDIA OF LIFE SCIENCES / & 2001 Nature Publishing Group / www.els.net
Antigen-Antibody Binding ition.It see T Trp)are more exposed to the solvent than in usual water solble and they found tob nvo gand. Sdogenboads,indngdryes1osofconormatiomal entropy upon complexation).Thus,the concentration o toRairdmeedongeacetainsticekine for a particular antigen would arise from the compleme tarity of the shapes of the interacting surfaces created by Role of structural changes upon complex formation in antigen-antibody binding od called induced fitting)of both molecules have often been observed,creating high specifcity and atfinity.It can be Figure 3 Structure of complementarity-detemining supposed thatn ats ofside chair by structural modifications such as deformation of CDR g the an ing site are shown by thickines. ated at the one ntibody int antibody co mplexes,the significance of (3)has been suggested.As for (1)and (2).although the flexibility of the binding site leads to entropic loss upon complex imore precis significant amounts. Favourable energy change is in part or completel Contrary to other biomolecular interactions.antibodies compensated for by unfavourable entropic loss (see structurally by be from the two chains at the rim of the eisht-strand barre It is known that diversity in the germline antibody a品adew器e population is generated by the association of V,D and J binding sites of different shapes depe segments with additional diversity occurring at the DR ferent The CDR can create flat,extended binding surfaces for mutations ofthe g antigens,a specific groove for a peptide,DNA and diversity and leads to increased affinity and specificity as generating athnity-ma chemica induce production to carrier molecule such as albumin or Ficoll. complex formation,whereas the antigens bind to the mature antibodies by antib ENCYCLOPEDIA OF LIFE SCIENCES/2001 Nature Publishing Group/www.els.net 3
framework and the hypervariable regions shift the canonical structures relative to each other by small but significant amounts. Contrary to other biomolecular interactions, antibodies can recognize various foreign antigens (e.g. small molecules, DNA, soluble proteins, surface proteins on viruses) by varying the hypervariable regions. The six CDR loops from the two chains at the rim of the eight-strand barrel provide an ideal arrangement for generating antigenbinding sites of different shapes depending on the size and sequence of the loops. Different CDR structures form according to the antigen structure. These CDR structures can create flat, extended binding surfaces for protein antigens, a specific groove for a peptide, DNA and carbohydrate, or specific deep binding cavities for small molecules called haptens. A hapten is a simple chemical molecule that has the ability to bind antibody and can induce specific antibody production when it is attached to a carrier molecule such as albumin or Ficoll. It has been pointed out that the distribution of amino acids in variable domains seems to be biased, and certain residues (Tyr, Trp and Asn) seem to have a propensity for being in the CDRs, and for participating in antigen recognition. It seems that the aromatic side-chains (Tyr, Trp) are more exposed to the solvent than in usual watersoluble proteins, and they are frequently found to be involved in the interaction with the ligand. This is explained by their large size (hydrophobic effect), large polarization (van der Waals interactions), ability to form hydrogen bonds, and rigidity (less loss of conformational entropy upon complexation). Thus, the concentration of aromatic rings would give a certain ‘stickiness’ to the CDRs and give diverse specificity to antibodies. Specificity for a particular antigen would arise from the complementarity of the shapes of the interacting surfaces created by the proper positioning of the aromatic rings and the correct location of polar and/or charged groups. Role of structural changes upon complex formation in antigen–antibody binding On comparison of an antigen structure and the antibody with its complex, local conformational changes (often called induced fitting) of both molecules have often been observed, creating high specificity and affinity. It can be supposed that induced fitting of an antibody to its antigen is critical for high specificity and affinity. Induced fitting can be achieved (1) by small movements of side-chains, (2) by structural modifications such as deformation of CDR loops, or (3) by a change in the relative orientation of variable domains. All of these also seem to play a critical role in antigen–antibody interaction. In some antigen– antibody complexes, the significance of (3) has been suggested. As for (1) and (2), although the flexibility of the binding site leads to entropic loss upon complex formation, a greater interaction due to a more precise fitting must result in an overall increase in binding energy. Favourable energy change is in part or completely compensated for by unfavourable entropic loss (see below). Therefore, the binding characteristics must be analysed structurally by both antigen-free and complex form. It is known that diversity in the germline antibody population is generated by the association of V, D and J gene segments with additional diversity occurring at the joining regions (Figure 4). In addition, somatic hypermutation, which alters the specific amino acid by specific mutations of the gene encoding V regions, provides further diversity and leads to increased affinity and specificity as the immune response proceeds, generating affinity-matured antibody. A comparison of the structures of germline antibodies and affinity-matured antibodies shows that the former display significant conformational changes upon complex formation, whereas the antigens bind to the mature antibodies by a lock-and-key mechanism. Thus, it can be speculated that germline antibodies may adopt Figure 3 Structure of complementarity-determining regions (CDRs). Variable domains of a murine immunoglobulin G (composed of heavy chain and light chain) are shown (from HyHEL10 structure, Tsumoto and Kumagai, unpublished results). The hypervariable regions, CDRs comprising the antigen-binding site are shown by thick lines. These are located at the one edge of the b-barrel structure. Drawn using MOLSCRIPT. Antigen–Antibody Binding ENCYCLOPEDIA OF LIFE SCIENCES / & 2001 Nature Publishing Group / www.els.net 3
Anigen-Antibody Binding come together on the surface when the polypeptide chain 棉00g00-0900日 folds to form the native protein. Germ line DNA 0.出00- tinuous seems to be a more accurate description of nonlinear epitopes since they are assembled from residues on othe polypeptide chain.o has suggested that not all areas seem to V Dl.. residues on antigens make a significant contribution to the poyA al con Splicing aeeEno-oybag with some ☐-polyA Limitation of antibody specificity-cross reactivity As mentioned above,the most striking feature of the Figure4 Molecular basis for antibody diversity.Only the other antigens This is called cross-reactivity.Le.the ability of a binding site to accommodate antigens other than the ctpolypeptide chanHa munogen.The structural basis of this cross- one)-antibody (DB3)cross-reacts with sev and is seen,from X-ray crystallography.to bind to the stero multiple configurations upon antigen binding.and com D1115 with a higher iall in the affinity than that for the original immunogen,hen germline antibodies,may adopt many different conforma ysozyme(called heteroclitic binding).In this case residues eorigina un Th stickiness and the plasticity of CDRs may create high for the variant antigen residues at the antibody-antigen specificity and affinity of antibodies toward target anti interface was required for cross-reactivity. gens. Forces Involved in Antigen-binding Antigenic Epitope The binding ofanantigen to an antibody takes place by the tbonds between the e was first pi e to include surface ffinity It is produced by summation of the attractive and repulsive forces (van der Waals interactions,hydrogen mig ng e antibody-com ning site w th an ugen can b 、in which several discrete a acid sequences,widely separated in the primary structure. regions or Fab). ENCYCLOPEDIA OF LIFE SCENCES/2001Na shing Group /www.els.ne
multiple configurations upon antigen binding, and combined with somatic hypermutation, this could stabilize the configuration with optimal complementary to antigen. The structural plasticity of CDRs, especially in the case of germline antibodies, may adopt many different conformations, enabling them to accommodate many different antigenic structures, which might lead to polyreactivity (i.e. reactivity to various antigens). Thus, adequate stickiness and the plasticity of CDRs may create high specificity and affinity of antibodies toward target antigens. Antigenic Epitope Each antibody binds to a particular part of the antigen called the antigenic determinant (or epitope). The term epitope was first proposed by Jerne, to include surface configurations, haptenic groups, specific areas and so on. For protein antigens, it was later proposed that epitopes might be subdivided into sequential epitopes (involving a single continuous length of the polypeptide chain) and conformational epitopes, in which several discrete amino acid sequences, widely separated in the primary structure, come together on the surface when the polypeptide chain folds to form the native protein. Various researchers have suggested that any macromolecule can be antigenic, and that all accessible areas of a protein can potentially be bound by antibodies. ‘Discontinuous’ seems to be a more accurate description of nonlinear epitopes since they are assembled from residues from different portions of the polypeptide chain. However, recent research has suggested that not all areas seem to contribute equally to the binding. Small sets of surface residues on antigens make a significant contribution to the interaction (called energetic epitope), while the rest of the antibody-binding regions seem to make additional contributions to the binding energy, although with some exceptions (antibody–idiotype antibody binding). Limitation of antibody specificity – crossreactivity As mentioned above, the most striking feature of the antigen–antibody interaction is its high specificity and affinity. However, in some cases, antibodies can recognize other antigens. This is called cross-reactivity, i.e. the ability of a binding site to accommodate antigens other than the original immunogen. The structural basis of this crossreactivity has been investigated in several antigen–antibody-binding systems. For example, antisteroid (progesterone)–antibody (DB3) cross-reacts with several steroids, and is seen, from X-ray crystallography, to bind to alternative binding subsites, i.e. different binding orientations of the steroids can be formed in these binding sites. Anti-hen egg lysozyme antibody (D11.15) cross-reacts with several avian lysozymes, in some cases with a higher affinity than that for the original immunogen, hen lysozyme (called heteroclitic binding). In this case residues different from the original immunogen were found to be located around the edge of the epitope. Thus, it was concluded that a stereochemically permissive environment for the variant antigen residues at the antibody–antigen interface was required for cross-reactivity. Forces Involved in Antigen-binding The binding of an antigen to an antibody takes place by the formation of multiple noncovalent bonds between the antigen and the amino acids of the binding site. The strength of a single antigen–antibody bond is the antibody affinity. It is produced by summation of the attractive and repulsive forces (van der Waals interactions, hydrogen bonds, salt bridges and hydrophobic force). The interaction of the antibody-combining site with antigen can be investigated thermodynamically and kinetically by using monovalent antibody fragments (fragments of variable regions or Fab). VH ( ˜ca 200) D(1˜20) J H(1˜6) CH Rearrangement (DJrecombination) Rearrangement (VJrecombination) CH Transcription DJH polyA Germ line DNA B cell DNA VH Splicing polyA Translation RNA Protein (H chain polypeptide) VH CH Figure 4 Molecular basis for antibody diversity. Only the case of heavy chain has been shown. In the human genome, one of the about 80 VH genes (in mouse, about 100) recombines with one of 30 D segments (in mouse, about ten), and one of six J segments (in mouse, four) producing a functional V-D-J gene in the B cell. The recombined DNA is transcribed, spliced and translated into a polypeptide chain. Half of the VH genes in human B cell seem to be pseudogenes. Antigen–Antibody Binding 4 ENCYCLOPEDIA OF LIFE SCIENCES / & 2001 Nature Publishing Group / www.els.net
Antigen-Antibody Binding s and/ the (the ston of a th single tiger -antibody ed by X bond)for the antigen in the case of hapten-antibody t appears that water molecules are almost totally excluded from saltb ing,a non gens contnb van de for specific recognition. antibody binding originates from an increase in the entropy of inte the buried the same molecules displaced from the interface )and creating shape complement rity be complexation (.e.it is ntropy-driven). the other h make only a little contribution to the overall bindins protein-protein interactions,and considered to be a energy and act mainly to determine the specificity to the critical specificity-determining factor.Saltbridge forma nteraction. However, thermodynamic analyses have Ame)i suggested that a cons rable nun r ant h n bind has n oh ed.local induced nthalny cha ion from the e neg fitting (see above)has been observed. entropy contribution to association. antibody fragmer is used fo As mentioned above,it has been suggested from crystal structures or ant e Antibody Antigen Complex ns)or close contact with small anti where eptide and others)are important.In particular.amo n K =[Complex]/[Antibody][Antigen]. he ent molecules tobe excluded from ciation and dissociation rate constants are defined as follows: Vass=kass [Antibodyl[Antigen]Vaiss=kdiss [Complex] and make hydrogen bonds with both 00 e water mo nd antibody and makes a where v ent the rates of a binding (about )In addition to the direct the rate constants of association and dissociation,respec antiger n chanism.However.for further discussion.a structural study n an nd ki Recent advances in genetic engineering have enabled △Go=-RTIn K antibody fragments to be obtained more easily and the where the gas constant and Tis tem erature. mutants can be conveniently.Some as defined by the equation: binding has been discussed.Thus,biological specificity and affinity often depend on very subtle structural parameters. △G0=△Ho-T△S0 and extensive research is in progress solution have to ntibody bonds hav tight binding.There isa loss of the entropy of free rotation high ecificity. Although K is extremely high and translation of the separate molecules as well as a loss of 5Lmol- )in some protein-ligand interactions ntropy is gained not excee ENCYCLOPEDIA OF LIFE SCIENCES/e 2001 Nature Publishing Group /www.els.net
In principle, the increase in van der Waals contacts and/ or varied surfaces upon complexation correlates well with the affinity (the strength of a single antigen–antibody bond) for the antigen in the case of hapten–antibody binding. However, hydrogen bond formation and/or a saltbridge link (also called ion pairing, a noncovalent bond formed when a charged residue (e.g. aspartate) attracts its oppositely charged group (e.g. lysine)) seem to be required for specific recognition. In protein antigen–antibody interactions, the buried surface is almost the same ( 750 A˚ 3 ), and creating shape complementarity between proteins is probably needed. Hydrogen bond formation is more frequently observed in comparison with other protein–protein interactions, and considered to be a critical specificity-determining factor. Saltbridge formation (e.g. aspartate–lysine) is not always seen, and seems not to be necessary. Although no gross conformational change upon binding has been observed, local induced fitting (see above) has been observed. If a monovalent antibody fragment is used for analysis, the equilibrium of antigen–antibody binding is defined as: CDEFGHIJ CDEFKLD M NHOPQLR S where Ka = [Complex] / [Antibody][Antigen]. Association and dissociation rate constants are defined as follows: Vass 5 kass [Antibody][Antigen]Vdiss 5 kdiss [Complex] [2] where Vass and Vdiss represent the rates of association and dissociation, respectively, and kass and kdiss represent the rate constants of association and dissociation, respectively. At equilibrium Vass is equal to Vdiss and from eqns [1] and [2], the following equation is obtained: Ka = kass/kdiss [3] The Gibbs’ energy of formation (DG0) of an antigen– antibody complex is given by: DG0 = 2 RT ln Ka [4] where R is the gas constant and T is temperature. The free energy of complex formation represents a balance between enthalpic (DH0) and entropic (DS0) forces as defined by the equation: DG0 = DH0 2 T DS0 [5] In general, antigens and antibodies in solution have to overcome large entropic barriers before they can form a tight binding. There is a loss of the entropy of free rotation and translation of the separate molecules as well as a loss of conformational entropy of mobile segments and of sidechains upon binding. On the other hand, entropy is gained when water molecules are displaced from the surfaces that become the newinterface. This latter effect is quite significant and, in the structures observed by X-ray analysis, it appears that water molecules are almost totally excluded from the interface by the close contact between antibodies and antigens. Enthalpic contributions arise from van der Waals interactions and hydrogen bond formation. It is believed that the driving force in antigen–antibody binding originates from an increase in the entropy of solvent molecules displaced from the interface upon complexation (i.e. it is entropy-driven). On the other hand, hydrogen bond formation and van der Waals interactions make only a little contribution to the overall binding energy and act mainly to determine the specificity to the interaction. However, thermodynamic analyses have suggested that a considerable number of antigen–antibody interactions are enthalpy-driven, i.e. they make favourable enthalpy changes with some opposition from the negative entropy contribution to association. As mentioned above, it has been suggested from crystal structures of antigen–antibody complexes that shape complementarity of binding surfaces (in the case of protein antigens) or close contact with small antigens (hapten, peptide and others) are important. In particular, almost all solvent molecules have been observed to be excluded from the interfaces, and therefore hydrophobic interactions are supposed to make a significant contribution to the interaction. However, a recent high-resolution crystallographic study shows that several water molecules remain in the interface and make hydrogen bonds with both antigen and antibody. The water molecule complements the imperfect structural complementarity between antigen and antibody and makes a significant contribution to the binding (about 1–2 kcal mol 2 1 ). In addition to the direct antigen–antibody hydrogen bonds, solvent-mediated hydrogen bond formation should drive the interaction. The structural basis of antigen–antibody binding is fundamentally important for clarifying the binding mechanism. However, for further discussion, a structural study using X-ray crystallographic study or nuclear magnetic resonance (NMR) should be combined with an energetic study using thermodynamics and kinetics. Recent advances in genetic engineering have enabled antibody fragments to be obtained more easily, and the mutants can be constructed more conveniently. Some antigen–antibody binding systems have been investigated using mutants, and the role of contact residues in the binding has been discussed. Thus, biological specificity and affinity often depend on very subtle structural parameters, and extensive research is in progress. Kinetic analyses on several antigen–antibody bonds have been performed to investigate the mechanism of creating high specificity. Although Ka is extremely high ( 1015L mol 2 1 ), in some protein–ligand interactions (avidin–biotin reaction), the intrinsic affinities of antibodies do not exceed 1010L mol 2 1 (an affinity ceiling). From eqn Antigen–Antibody Binding ENCYCLOPEDIA OF LIFE SCIENCES / & 2001 Nature Publishing Group / www.els.net 5