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PubMed1991

Stabilization of the FK506 binding protein by ligand binding.

Although the rotamase activity of the FK506 binding protein is inhibited by ligand binding, it is hypothesized that the ligand/protein complex itself may be responsible for the immunosuppressive effects of FK506. We have therefore examined the structure of the FK506 binding protein in the presence of an analog of FK506 (FK520) by a combination of fluorescence, CD, FTIR and calorimetry. While only small changes in the overall structure of the protein may be induced by ligand, a large change in thermal stability of the binding protein is observed.

Anti-Bacterial Agents↗
PubMed2005

Ligand binding is without effect on complex formation of the ligand binding domain of the ecdysone receptor (EcR).

The ligand-binding domain (LBD) encompassing the C-terminal parts of the D- and the complete E-domains of the ecdysteroid receptor (EcR) fused to Gal4(AD) is present in two high molecular weight complexes (600 and 150 kDa) in yeast extracts according to size exclusion chromatography (Superdex 200 HR 10/30). Hormone binding is mainly associated with 150-kDa complexes. Complex formation is not influenced by hormone, but the ligand stabilizes the complexes at elevated salt concentrations. Mutational analysis of Gal4(AD)-EcR(LBD) revealed that formation of 600-kDa, but not 150-kDa, complexes depends on dimerization mediated by the EcR(LBD). Deletion of helix 12 is without effect. Mutation of K497 in helix 4, known to be essential for comodulator binding, abolishes 600-KDa complexes, but does not interfere with the formation of 150-kDa complexes. In contrast, the DE-domains of USP fused to Gal4(DBD) elute as monomer after elimination of the dimerization capacity of the ligand-binding domains by mutation of P463 in helix 10. The data presented here reveal that the complex formation of ligand-binding domains EcR and USP ligand is different.

Blotting, Western↗
PubMed2006

Analysis of ligand binding and protein dynamics of human retinoid X receptor alpha ligand-binding domain by nuclear magnetic resonance.

Retinoid X receptors (RXRs) are nuclear receptors that can activate transcription as homodimers or as obligate heterodimeric partners of other nuclear receptors. While the crystal structures of the RXR ligand-binding domains (LBD) have been previously determined, the dynamics of activation is less well characterized at an atomic level. To probe the effect of ligand binding on RXR LBD dynamics, we initiated nuclear magnetic resonance studies of recombinant human RXRalpha LBD (T223-T462) with and without bound 9-cis-retinoic acid (9cRA). The 1HN, 15N, 13C(alpha), 13CO, and 13C(beta) resonance assignments were established for 164 of 240 residues in apo-RXRalpha LBD. Resonances corresponding to an additional 47 residues emerged upon 9cRA binding. These additional residues included those located in the vicinity of the ligand-binding pocket (helices H3, H5, and strands S1, S2), as well as residues located at the dimerization interface (helices H9 and H10). Thus 9cRA binding stabilized the ligand-binding pocket and had allosteric effects on the dimerization interface. Ligand-induced chemical shift perturbations outside the binding cavity were mapped to helix H3 and the AF-2 helix H12, indicating conformational changes in these regions. However, helix H11, a component of the tetramerization interface, and a large part of helix H10, a component of the dimerization interface, remained undetectable even after 9cRA binding. Although apo- and holo-hRXRalpha LBD existed predominantly as homodimers in solution, exchange between monomeric, dimeric, and tetrameric forms of the protein could have contributed to line broadening of cross-peaks corresponding to helices H10 and H11. 15N T1, T2, and steady-state {1H}-15N NOE data collected at 500 and 700 MHz static magnetic fields showed that the internal motions for the residues in the H1-H3 loop (K245-D263) were much less restricted than those in the protein core for both apo- and holo-forms. Significant exchange R(ex) contributions to the transverse relaxation rate were detected for most of the residues measured in both apo- and holo-RXRalpha LBDs by transverse relaxation optimized spectroscopy-Carr-Purcell-Meiboom-Gill (CPMG) experiments at two B1 field strengths. Taken together these results suggest that the RXRalpha LBD exists as a dynamic ensemble of conformations, even after binding its cognate ligand. Such dynamic characteristics may allow RXRalpha to partner with multiple nuclear receptors.

Alitretinoin↗
PubMed1992

Divalent cation-dependent stimulation of ligand binding to the 46-kDa mannose 6-phosphate receptor correlates with divalent cation-dependent tetramerization.

The quaternary structure and binding activity of the murine 46-kDa mannose 6-phosphate receptor (46MPR) were studied in semi-intact murine cells that overexpress the murine receptor. Chemical cross-linking studies showed that the murine 46MPR exists in monomer, dimer, and tetramer forms in membranes of overexpressing murine cells. Treatment of permeabilized cells with Mn2+ increased the tetramer form of 46MPR, and this tetramerization was reversed by removal of Mn2+. Thus, the divalent cations affected the distribution of receptor among the three forms, favoring tetramerization at the expense of dimer and monomer. Low temperature (4 degrees C) also increases the fraction present as tetramer. The binding assay results show that Mn2+ is required for the 46MPR to achieve and retain the ability to bind ligand at 37 degrees C but not at 4 degrees C. Preincubation with Mn2+ produced a 3-fold increase in Man-6-P-specific binding of beta-glucuronidase which paralleled the 3-fold increase in tetramer seen during preincubation with Mn2+. The similarity of the effects of addition and removal of Mn2+ on enzyme binding to the effects of Mn2+ on favoring tetramer formation suggests that divalent cation-dependent tetramerization of the 46MPR contributes to the stimulation of ligand binding to the 46MPR by divalent cations.

Animals↗
PubMed1999

Effects of ligand binding on the internal dynamics of maltose-binding protein.

Ligand binding to proteins often causes large conformational changes. A typical example is maltose-binding protein (MBP), a member of the family of periplasmic binding proteins of Gram-negative bacteria. Upon binding of maltose, MBP undergoes a large structural change that closes the binding cleft, i.e. the distance between its two domains decreases. In contrast, binding of the larger, nonphysiological ligand beta-cyclodextrin does not result in closure of the binding cleft. We have investigated the dynamic properties of MBP in its different states using time-resolved tryptophan fluorescence anisotropy. We found that the 'empty' protein exhibits strong internal fluctuations that almost vanish upon ligand binding. The measured relaxation times corresponding to internal fluctuations can be interpreted as originating from two types of motion: wobbling of tryptophan side-chains relative to the protein backbone, and orientational fluctuations of entire domains. After binding of a ligand, domain motions are no longer detectable and the fluctuations of some of the tryptophan side-chains become rather restricted. This transformation into a more rigid state is observed upon binding of both ligands, maltose and the larger beta-cyclodextrin. The fluctuations of tryptophan side-chains in direct contact with the ligand, however, are affected in a slightly different way by the two ligands.

Amino Acid Motifs↗
PubMed1999

Mapping ligand binding domains in chimeric fibroblast growth factor receptor molecules. Multiple regions determine ligand binding specificity.

Fibroblast growth factors (FGFs) mediate essential cellular functions by activating one of four alternatively spliced FGF receptors (FGFRs). To determine the mechanism regulating ligand binding affinity and specificity, soluble FGFR1 and FGFR3 binding domains were compared for activity. FGFR1 bound well to FGF2 but poorly to FGF8 and FGF9. In contrast, FGFR3 bound well to FGF8 and FGF9 but poorly to FGF2. The differential ligand binding specificity of these two receptors was exploited to map specific ligand binding regions in mutant and chimeric receptor molecules. Deletion of immunoglobulin-like (Ig) domain I did not effect ligand binding, thus localizing the binding region(s) to the distal two Ig domains. Mapping studies identified two regions that contribute to FGF binding. Additionally, FGF2 binding showed positive cooperativity, suggesting the presence of two binding sites on a single FGFR or two interacting sites on an FGFR dimer. Analysis of FGF8 and FGF9 binding to chimeric receptors showed that a broad region spanning Ig domain II and sequences further N-terminal determines binding specificity for these ligands. These data demonstrate that multiple regions of the FGFR regulate ligand binding specificity and that these regions are distinct with respect to different members of the FGF family.

Amino Acid Sequence↗
PubMed2005

The X-ray structure of a hemipteran ecdysone receptor ligand-binding domain: comparison with a lepidopteran ecdysone receptor ligand-binding domain and implications for insecticide design.

The ecdysone receptor is a hormone-dependent transcription factor that plays a central role in regulating the expression of vast networks of genes during development and reproduction in the phylum Arthropoda. The functional receptor is a heterodimer of the two nuclear receptor proteins ecdysone receptor (EcR) and ultraspiracle protein. The receptor is the target of the environmentally friendly bisacylhydrazine insecticides, which are effective against Lepidoptera but not against Hemiptera or several other insect orders. Here we present evidence indicating that much of the selectivity of the bisacylhydrazine insecticides can be studied at the level of their binding to purified ecdysone receptor ligand-binding domain (LBD) heterodimers. We report the crystal structure of the ecdysone receptor LBD heterodimer of the hemipteran Bemisia tabaci (Bt, sweet potato whitefly) in complex with the ecdysone analogue ponasterone A. Although comparison with the corresponding known LBD structure from the lepidopteran Heliothis virescens (Hv) ecdysone receptor revealed the overall mode of ponasterone A binding to be very similar in the two cases, we observed that the BtEcR ecdysteroid-binding pocket is structured differently to that of HvEcR in those parts that are not in contact with ponasterone A. We suggest that these differences in the ligand-binding pocket may provide a molecular basis for the taxonomic order selectivity of bisacylhydrazine insecticides.

Amino Acid Sequence↗
PubMed2001

Separable features of the ligand-binding domain determine the differential subcellular localization and ligand-binding specificity of glucocorticoid receptor and progesterone receptor.

Glucocorticoid receptor (GR) and progesterone receptor (PR) are closely related members of the steroid receptor family of transcription factors. The two receptors share a similar domain structure, substantial sequence identity, DNA binding specificity, and the ability to induce many of the same genes. Despite these similarities, the unliganded GR is localized predominantly in the cytoplasm, while unliganded PR is found predominantly in the nucleus. By expressing green fluorescent protein (GFP)-tagged receptors and assessing subcellular localization in living cells by confocal microscopy, we have investigated the structural basis for the differential localization of GR and PR. By constructing a series of GFP-tagged receptor chimeras between GR and PR, we have shown that multiple features in the N-terminal half of the ligand-binding domain (LBD) are the critical determinants that mandate the differential localization of GR and PR. Replacement of residues encompassing helices 1-5 of GR with those of PR yields a receptor that is nuclear. However, this domain is unable to mediate nuclear import by itself when removed from the context of the receptor. The chimeric receptors also indicate that regions encompassing helices 6 and 7 are key determinants of the ligand binding potential and the transactivation potential of receptors. Thus, the determinants specifying localization of hormone-free receptors are separable from those governing ligand binding character.

Animals↗
PubMed2004

Biochemical and NMR mapping of the interface between CREB-binding protein and ligand binding domains of nuclear receptor: beyond the LXXLL motif.

CBP, cAMP-response element-binding protein (CREB)-binding protein, plays an important role as a general cointegrator of various signaling pathways and interacts with a large number of transcription factors. Interactions of CBP with ligand binding domains (LBDs) of nuclear receptors are mediated by LXXLL motifs, as are those of p160 proteins, although the number, distribution, and precise sequences of the motifs differ. We used a large N-terminal fragment of murine CBP to map by biochemical methods and NMR spectroscopy the interaction domain of CBP with the LBDs of several nuclear receptors. We show that distinct zones of that fragment are involved in the interactions: a 20-residue segment containing the LXXLL motif (residues 61-80) is implicated in the interaction with all three domains tested (peroxisome proliferator-activated receptor gamma-LBD, retinoid X receptor alpha-LBD, and estrogen-related receptor gamma-LBD), whereas a second N-terminal well conserved block of around 25 residues centered on a consensus L(40)PDEL(44) motif constitutes a secondary motif of interaction with peroxisome proliferator-activated receptor gamma-LBD. Sequence analysis reveals that both zones are well conserved in all vertebrate p300/CBP proteins, suggesting their functional importance. Interactions of p300/CBP coactivators with the LBDs of nuclear receptors are not limited to the canonical LXXLL motifs, involving both a longer contiguous segment around the motif and, for certain domains, an additional zone.

Amino Acid Motifs↗
PubMed1998

Expression and characterization of a 70-kDa fragment of the insulin receptor that binds insulin. Minimizing ligand binding domain of the insulin receptor.

In order to characterize regions of the insulin receptor that are essential for ligand binding and possibly identify a smaller insulin-binding fragment of the receptor, we have used site-directed mutagenesis to construct a series of insulin receptor deletion mutants. From 112 to 246 amino acids were deleted from the alpha-subunit region comprising amino acids 469-729. The receptor constructs were expressed as soluble insulin receptor IgG fusion proteins in baby hamster kidney cells and were characterized in binding assays by immunoblotting and chemical cross-linking with radiolabeled insulin. The shortest receptor fragment identified was a free monomeric alpha-subunit deleted of amino acids 469-703 and 718-729 (exon 11); the mass of this receptor fragment was found by mass spectrometry to be 70 kDa. This small insulin receptor fragment bound insulin with an affinity (Kd) of 4.4 nM, which is similar to what was found for the full-length ectodomain of the insulin receptor (5.0 nM). Cross-linking experiments confirmed that the 70-kDa receptor fragment specifically bound insulin. In summary we have minimized the insulin binding domain of the insulin receptor by identifying a 70-kDa fragment of the ectodomain that retains insulin binding affinity making this an interesting candidate for detailed structural analysis.

Amino Acid Sequence↗
PubMed1992

Identification of two cysteines closely positioned in the ligand-binding pocket of the human estrogen receptor: roles in ligand binding and transcriptional activation.

We have previously identified cysteine 530 in the human estrogen receptor (ER) as the major site of attachment for covalently binding affinity ligands and have shown that when this cysteine is mutated to alanine (C530A mutant), the affinity ligand [tamoxifen aziridine (TAZ)] can still bind covalently to the ER, presumably by interaction with a different cysteine(s) in the hormone-binding domain (HBD). Using site-directed mutagenesis, we have determined the alternative ligand attachment site and the functional importance of the cysteines (residues 381, 417, 447, and 530) in the HBD of the ER to the hormone-binding and transcriptional responses to estrogens and antiestrogens. Cysteine 530 plus one or more of these other cysteines were mutated to alanines. Analysis of these mutant ERs expressed in Chinese hamster ovary cells provides strong evidence that cysteine 381 is the residue that is preferentially covalently labeled by TAZ in the C530A mutant. Hence, portions of the HBD that are far apart in the linear receptor sequence, namely regions near C381 and C530, are probably closely positioned in the ligand-binding pocket, with the cysteine thiols being 1.1 nm or less apart. The affinity of estradiol binding to receptors was reduced only 2- and 5-fold, respectively, in the double and quadruple Cys to Ala mutants, and estradiol was an effective stimulator of transcription from an estrogen-responsive reporter gene [(ERE)2-TATA-CAT].(ABSTRACT TRUNCATED AT 250 WORDS)

Base Sequence↗
PubMed1984

Biochemical characteristics of iodothyronine monodeiodination by rat liver microsomes: the interaction between iodothyronine substrate analogs and the ligand binding site of the iodothyronine deiodinase resembles that of the TBPA-iodothyronine ligand binding.

T4-analogs modified at the aliphatic side chain R are substrates for rat liver microsomal iodothyronine-5'(3')-deiodinase (ITH-D). The variation of the substrate constitution allows a mapping of the ITH-D substrate ligand-binding site. Highest affinity for the ITH-5'(3')-D was presented by Tetrac among a homologous series of carboxylic acid side chain analogs. A net negative charge of the side chain and/or the blockage of the amino function increase the affinity of the enzyme-ligand interaction. However, not only charge (electrostatic interactions), but also steric (constitution) and configurational (D-, L-alanine) contributions affect the ligand-binding site interaction. These studies present further evidence that the route of deiodination is dependent on properties of the ligand-binding site and/or catalytically-active site of the enzyme, and not on the pKa-value of the 4'-OH-group of the ITH-analogue ligands. Alterations of incubation-pH change the dissociation state of the thiolate-imidazolium ion-pair of the enzyme ligand-binding site. This can provoke changes in the enzymic route of the T4-monodeiodination cascade from 5'(3')- to the 5(3)-deiodination pathway and vice versa. The same shift can be obtained by the choice of the configuration of the alanine side chain. ITH-D exhibits substrate (ligand) binding characteristics similar to both TBPA and the nuclear T3-receptor with respect to the ITH-analogue side chain constitution: All three prefer acetic acid derivatives as ligands. In contrast to the nuclear T3-receptor both ITH-D and TBPA prefer ITH-(analogues) with a 3',5'-disubstitution which yields a dissociated 4'-phenoxi group of the molecule. These similarities may suggest that ITH-binding proteins, ITH-receptors and ITH-metabolizing enzymes may represent a closely related family of proteins. They may possibly be derived from a common ancestral ITH-binding protein. The limited substrate specificity of rat liver ITH-D, which fulfills a major contribution in ITH-metabolism in vivo, may be of physiological relevance for the poorly characterized metabolism of naturally occurring (Tetrac) and pharmacologically important (D-T4) ITH-analogs.

Animals↗
PubMed2002

Multiple diverse ligands binding at a single protein site: a matter of pre-existing populations.

Here, we comment on the steadily increasing body of data showing that proteins with specificity actually bind ligands of diverse shapes, sizes, and composition. Such a phenomenon is not surprising when one considers that binding is a dynamic process with populations in equilibrium and that the shape of the binding site is strongly influenced by the molecular partner. It derives implicitly from the concept of populations. All proteins, specific and nonspecific, exist in ensembles of substates. If the library of ligands in solution is large enough, favorably matching ligands with altered shapes and sizes can be expected to bind, with a redistribution of the protein populations. Point mutations at spatially distant sites may exert large conformational rearrangements and hinge effects, consistent with mutations away from the binding site leading to population shifts and (cross-)drug resistance. A similar effect is observed in protein superfamilies, in which different sequences with similar topologies display similar large-scale dynamic motions. The hinges are frequently at analogous sites, yet with different substrate specificity. Similar topologies yield similar conformational isomers, although with different distributions of population times, owing to the change in the conditions, that is, the change in the sequences. In turn, different distributions relate to binding of different sizes and shapes. Hence, the binding site shape and size are defined by the ligand. They are not independent entities of fixed proportions and cannot be analyzed independently of the binding partner. Such a proposition derives from viewing proteins as dynamic distributions, presenting to the incoming ligands a range of binding site shapes. It illustrates how presumably specific binding molecules can bind multiple ligands. In terms of drug design, the ability of a single receptor to recognize many dissimilar ligands shows the need to consider more diverse molecules. It provides a rationale for higher affinity inhibitors that are not derived from substrates at their transition states and indicates flexible docking schemes.

Binding Sites↗
PubMed1996

Identification of a critical ligand binding determinant of the human erythropoietin receptor. Evidence for common ligand binding motifs in the cytokine receptor family.

The erythropoietin receptor (EPOR) is a member of a family of cytokine and growth factor receptors that share conserved features in their extracellular and cytoplasmic domains. We have used site-specific mutagenesis within the extracellular domain of the EPOR to search for amino acid residues involved in erythropoietin (EPO) binding. Mutant proteins were expressed in bacteria as soluble EPO binding proteins (EBP) and characterized for EPO binding activity in a number of different assays. Substitution of phenylalanine at position 93 (Phe93) with alanine (F93A mutation) resulted in a drastic reduction in EPO binding in the EBP. More conservative tyrosine or tryptophan substitutions at Phe93 resulted in much less dramatic effects on EPO binding. Biophysical studies indicated that the F93A mutation does not result in gross structural alterations in the EBP. Furthermore, the F93A mutation in full-length EPOR expressed in COS cells abolished detectable EPO binding. This was not a result of processing or transport defects, since mutant receptor was present on the surface of the cells. Mutations in the region immediately around Phe93 and in residues homologous to other reported ligand binding determinants of the cytokine receptor family had small to moderate effects on EPO binding. These data indicate that Phe93 is a critical EPO binding determinant of the EPOR. Furthermore, since Phe93 aligns with critical ligand binding determinants in other receptors of the cytokine receptor family, these data suggest that receptors of this family may use common structural motifs to bind their cognate ligands.

Alanine↗
PubMed1994

Ligand binding to heme proteins: the effect of light on ligand binding in myoglobin.

Extended illumination slows the rebinding of CO to myoglobin after photodissociation at cryogenic temperatures. Two types of models have been put forward to explain the effect: motions of the CO within the heme pocket or conformational transitions of the protein. To resolve this ambiguity, we have studied the effect of extended illumination on ligand binding to horse and sperm whale myoglobin (hMb and swMb) with temperature-derivative spectroscopy, monitoring the reaction in the CO stretch bands in the infrared and the conformation-sensitive band III near 760 nm. The experiments show that the stretch frequency of the photodissociated CO does not change upon illumination, implying that the slowing of the CO rebinding is caused by conformational relaxation of Mb from the bound state toward the deoxy structure. The light-induced relaxation (LIR) depends on the number of photons absorbed but not on the light intensity or duration separately. LIR occurs on photon absorption in either the bound or photodissociated state and depends on the temperature at which the MbCO is illuminated. The LIR proceeds in jumps through a small number of conformational substates. The effective barrier for rebinding increases with each step. The substates populated are similar to those found in the thermally-induced relaxation (TIR) that is observed above 160 K. LIR depends markedly on the structural details; it differs for swMbCO and hMbCO and even for the three A substates of swMbCO. Pronounced differences exist between the effects in MbCO and MbO2. The similarity of LIR and TIR leads to a revised model for ligand binding to swMbCO and hMbCO, in which the relaxation is crucial for the escape of the ligand from the pocket, as was first suggested by Friedman [Friedman, J. M. (1985) Science 228, 1273-1280].

Animals↗
PubMed1991

Ligand-binding and heterodimerization activities of a conserved region in the ligand-binding domain of the thyroid hormone receptor.

The ligand-binding domain of the thyroid hormone (3,5,3'-triiodothyronine) receptor (TR) contains poorly characterized subdomains involved with ligand binding, transactivation, and protein-protein interactions. The region between residues 288-331 of rat TR alpha-1 was analyzed by modeling and site-directed mutagenesis. Our results suggest that part of this sequence adopts an amphipathic alpha-helical conformation. The integrity of the putative helix is important for 3,5,3'-triiodothyronine binding but not necessarily for heterodimerization with nuclear factor(s). Mutants defective for both activities were found clustered in a region overlapping the C-terminal portion of the helix and further downstream. The sequence conservation of this particular region among the entire superfamily suggests a similar role in dimerization in other receptors.

Amino Acid Sequence↗
PubMed2006

The single ligand-binding repeat of Tva, a low density lipoprotein receptor-related protein, contains two ligand-binding surfaces.

The receptor for avian sarcoma/leukosis virus subtype A (ASLV-A), Tva, is the simplest member of the low density lipoprotein receptor family containing a single ligand-binding repeat (LBR). Most LBRs contain a central Trp (Trp33 in Tva) that is important for ligand binding and, for the low density lipoprotein receptor, is associated with familial hypercholesterolemia. The Tva ligand-binding module contains a second Trp (Trp48) that is part of a DEW motif present in a subset of LBRs. Trp48 is important for ASLV-A infectivity. A soluble Tva (sTva) ligand-binding module is sufficient for ASLV-A infectivity. Tva interacts with the viral glycoprotein, and a soluble receptor-binding domain (SUA) binds sTva with picomolar affinity. We investigated whether Tva, a retroviral receptor, could behave as a classic LBR by assessing sTva interactions with the universal receptor-associated protein (RAP) and comparing these interactions with those between sTva and its viral ligand (SUA). To address the role of the two Trp residues in Tva function, we prepared sTva harboring mutations of Trp33, Trp48, or both and determined the binding kinetics with RAP and SUA. We found that sTva behaved as a "normal" receptor toward RAP, requiring both calcium and Trp33 for binding. However, sTva binding to SUA required neither calcium nor Trp33. Furthermore, sTva could bind both RAP and SUA simultaneously. These results show that the single LBR of Tva has two ligand-binding sites, raising the possibility that other LBRs may also.

Amino Acid Sequence↗
PubMed1990

Preferential ligand binding to multi-state acceptor systems: the unexplored paradox of acceptor self-association that is ligand-mediated but detrimental to ligand binding.

Consideration is given to the interactions of ligand with self-associating acceptor systems for which preferential ligand binding is an ambiguous term, in that the acceptor species with greater affinity for ligand possesses relatively fewer binding sites. A paradoxical situation wherein ligand-mediated self-association is seemingly detrimental to ligand binding is shown to be the predicted outcome for a transient range of ligand concentrations. This outcome reflects the existence of a critical point in the dependence of the extent of acceptor self-association upon ligand concentration that coincides with a cross-over point of ligand-binding curves for different, fixed total concentrations of acceptor. By classical differentiation methods the conditions for the existence of these critical points are established not only for two-state acceptor systems but also for three-state acceptor systems in which the ligand-binding form of monomer also undergoes reversible isomerization to an inactive state. Similar procedures are used to comment upon the forms of binding curves for the three-state acceptor systems, the Scatchard representations of which may exhibit as many as three critical points (two maxima and a minimum). This delineation of quantitative expressions for critical points and other distinctive features associated with the conflicting interplay of ligand-binding and self-association behaviour should provide a more definitive means of characterizing systems with one acceptor state the preferred binding form on affinity grounds but with the other the preferred state from the viewpoint of binding-site numbers.

Animals↗