Solution studies of recombinant human stromal-cell-derived factor-1

Stromal-cell-derived factor-1 (SDF-1alpha) is an 8-kDa chemokine that is constitutively expressed in bone-marrow-derived stromal cells and has been identified as a ligand for the CXCR4 receptor. We produced the chemokine recombinantly as methionine-SDF-1alpha in Escherichia coli without the leader peptide sequence. The protein was denatured, refolded, and further purified by reversed-phase HPLC. SDF-1alpha was shown to be >95% pure as judged by SDS-PAGE. The final yield of purified and refolded SDF-1alpha was 1-2 mg per gram of wet cell paste. The refolded protein is a ligand for the CXCR4 receptor and has been used to block HIV-mediated cell fusion and downmodulates the CXCR4 receptor. Our ability to purify hundreds of milligrams of refolded protein allowed us to conduct detailed studies of the biophysical properties of the protein. We have used a combination of biophysical techniques to study the solution properties of SDF-1alpha. The average mass of SDF-1alpha, as determined by static light scattering, gave us the first indications that the chemokine may self-associate. Further investigation with sedimentation velocity ultracentrifugation confirmed the existence of two species. The measured s(20, W) values defined two masses corresponding to monomer and dimer. Finally, sedimentation equilibrium ultracentrifugation and dynamic light scattering yielded a composite value of 150 +/- 30 microM for the dimerization constant. We conclude that SDF-1alpha exists in a monomer-dimer equilibrium.     

The monomer-dimer equilibrium of stromal cell-derived factor-1 (CXCL 12) is altered by pH, phosphate, sulfate, and heparin

Chemokines, like stromal cell-derived factor-1 (SDF1/CXCL12), are small secreted proteins that signal cells to migrate. Because SDF1 and its receptor CXCR4 play important roles in embryonic development, cancer metastasis, and HIV/AIDS, this chemokine signaling system is the subject of intense study. However, it is not known whether the monomeric or dimeric structure of SDF1 is responsible for signaling in vivo. Previous structural studies portrayed the SDF1 structure as either strictly monomeric in solution or dimeric when crystallized. Here, we report two-dimensional NMR, pulsed-field gradient diffusion and fluorescence polarization measurements at various SDF1 concentrations, solution conditions, and pH. These results demonstrate that SDF1 can form a dimeric structure in solution, but only at nonacidic pH when stabilizing counterions are present. Thus, while the previous NMR structural studies were performed under acidic conditions that strongly promote the monomeric state, crystallographic studies used nonacidic buffer conditions that included divalent anions shown here to promote dimerization. This pH-sensitive aggregation behavior is explained by a dense cluster of positively charged residues at the SDF1 dimer interface that includes a histidine side chain at its center. A heparin disaccharide shifts the SDF1 monomer-dimer equilibrium in the same manner as other stabilizing anions, suggesting that glycosaminoglycan binding may be coupled to SDF1 dimerization in vivo.     

PWWP module of human hepatoma-derived growth factor forms a domain-swapped dimer with much higher affinity for heparin

Hepatoma-derived growth factor (hHDGF)-related proteins (HRPs) comprise a new growth factor family sharing a highly conserved and ordered N-terminal PWWP module (residues 1-100, previously referred to as a HATH domain) and a variable disordered C-terminal domain. We have shown that the PWWP module is responsible for heparin binding and have solved its structure in solution. Here, we show that under physiological conditions, both the PWWP module and hHDGF can form dimers. Surface plasmon resonance (SPR) studies revealed that the PWWP dimer binds to heparin with affinity that is two orders of magnitude higher (K(d)=13 nM) than that of the monomeric PWWP module (K(d)=1.2 microM). The monomer-dimer equilibrium properties and NMR structural data together suggest that the PWWP dimer is formed through a domain-swapping mechanism. The domain-swapped PWWP dimer structures were calculated on the basis of the NMR data. The results show that the two PWWP protomers exchange their N-terminal hairpin to form a domain-swapped dimer. The two monomers in a dimer are linked by the long flexible L2 loops, a feature supported by NMR relaxation data for the monomer and dimer. The enhanced heparin-binding affinity of the dimer can be rationalized in the framework of the dimer structure.     

Solution structure of a double mutant of the carboxy-terminal dimerization domain of the HIV-1 capsid protein

As in other retroviruses, the HIV-1 capsid (CA) protein is composed of two domains, the N-terminal domain (NTD) and the C-terminal domain (CTD), joined by a flexible linker. The dimerization of the CTD is thought to be a critical step in the assembly of the immature and mature viral capsids. The precise nature of the functional form of CTD dimerization interface has been a subject of considerable interest. Previously, the CTD dimer was thought to involve a face-to-face dimerization observed in the early crystallographic studies. Recently, the crystallographic structure for a domain-swapped CTD dimer has been determined. This dimer, with an entirely different interface that includes the major homology region (MHR) has been suggested as the functional form during the Gag assembly. The structure determination of the monomeric wt CTD of HIV-1 has not been possible because of the monomer-dimer equilibrium in solution. We report the NMR structure of the [W184A/M185A]-CTD mutant in its monomeric form. These mutations interfere with dimerization without abrogating the assembly activity of Gag and CA. The NMR structure shows some important differences compared to the CTD structure in the face-to-face dimer. Notably, the helix-2 is much shorter, and the kink seen in the crystal structure of the wt CTD in the face-to-face dimer is absent. These NMR studies suggest that dimerization-induced conformational changes may be present in the two crystal structures of the CTD dimers and also suggest a mechanism that can simultaneously accommodate both of the distinctly different dimer models playing functional roles during the Gag assembly of the immature capsids.     

Dynamic properties of a type II cadherin adhesive domain: implications for the mechanism of strand-swapping of classical cadherins

Cadherin-mediated cell adhesion is achieved through dimerization of cadherin N-terminal extracellular (EC1) domains presented from apposed cells. The dimer state is formed by exchange of N-terminal beta strands and insertion of conserved tryptophan indole side chains from one monomer into hydrophobic acceptor pockets of the partner molecule. The present work characterizes individual monomer and dimer states and the monomer-dimer equilibrium of the mouse Type II cadherin-8 EC1 domain using NMR spectroscopy. Limited picosecond-to-nanosecond timescale dynamics of the tryptophan indole moieties for both monomer and dimer states are consistent with well-ordered packing of the N-terminal beta strands intramolecularly and intermolecularly, respectively. However, pronounced microsecond-to-millisecond timescale dynamics of the side chains are observed for the monomer but not the dimer state, suggesting that monomers transiently sample configurations in which the indole moieties are exposed. The results suggest possible kinetic mechanisms for EC1 dimerization.     

Salt-dependent monomer-dimer equilibrium of bovine beta-lactoglobulin at pH 3

Although bovine beta-lactoglobulin assumes a monomeric native structure at pH 3 in the absence of salt, the addition of salts stabilizes the dimer. Thermodynamics of the monomer-dimer equilibrium dependent on the salt concentration were studied by sedimentation equilibrium. The addition of NaCl, KCl, or guanidine hydrochloride below 1 M stabilized the dimer in a similar manner. On the other hand, NaClO(4) was more effective than other salts by about 20-fold, suggesting that anion binding is responsible for the salt-induced dimer formation, as observed for acid-unfolded proteins. The addition of guanidine hydrochloride at 5 M dissociated the dimer into monomers because of the denaturation of protein structure. In the presence of either NaCl or NaClO(4), the dimerization constant decreased with an increase in temperature, indicating that the enthalpy change (DeltaH(D)) of dimer formation is negative. The heat effect of the dimer formation was directly measured with an isothermal titration calorimeter by titrating the monomeric beta-lactoglobulin at pH 3.0 with NaClO(4). The net heat effects after subtraction of the heat of salt dilution, corresponding to DeltaH(D), were negative, and were consistent with those obtained by the sedimentation equilibrium. From the dependence of dimerization constant on temperature measured by sedimentation equilibrium, we estimated the DeltaH(D) value at 20 degrees C and the heat capacity change (DeltaC(p)) of dimer formation. In both NaCl and NaClO(4), the obtained DeltaC(p) value was negative, indicating the dominant role of burial of the hydrophobic surfaces upon dimer formation. The observed DeltaC(p) values were consistent with the calculated value from the X-ray dimeric structure using a method of accessible surface area. These results indicated that monomer-dimer equilibrium of beta-lactoglobulin at pH 3 is determined by a subtle balance of hydrophobic and electrostatic effects, which are modulated by the addition of salts or by changes in temperature.     

Crystal structures of oligomeric forms of the IP-10/CXCL10 chemokine

We have determined the structure of wild-type IP-10 from three crystal forms. The crystals provide eight separate models of the IP-10 chain, all differing substantially from a monomeric IP-10 variant examined previously by NMR spectroscopy. In each crystal form, IP-10 chains form conventional beta sheet dimers, which, in turn, form a distinct tetrameric assembly. The M form tetramer is reminiscent of platelet factor 4, whereas the T and H forms feature a novel twelve-stranded beta sheet. Analytical ultracentrifugation indicates that, in free solution, IP-10 exists in a monomer-dimer equilibrium with a dissociation constant of 9 microM. We propose that the tetrameric structures may represent species promoted by the binding of glycosaminoglycans. The binding sites for several IP-10-neutralizing mAbs have also been mapped.     

Mapping the binding of the N-terminal extracellular tail of the CXCR4 receptor to stromal cell-derived factor-1alpha

The solution structure of monomeric stromal cell-derived factor-1alpha (SDF-1alpha), the natural ligand for the CXCR4 G-coupled receptor, has been solved by multidimensional heteronuclear NMR spectroscopy. The structure has a characteristic chemokine fold and is in excellent agreement with the individual subunits observed in the crystal structures of dimeric SDF-1alpha. Using various peptides derived from the N-terminal extracellular tail of the CXCR4 receptor, we show that the principal determinants of binding reside in the N-terminal 17 residues of CXCR4, with a major contribution from the first six residues. From 15N/1HN chemical shift pertubation studies we show that the interaction surface on SDF-1alpha is formed by the undersurface of the three-stranded antiparallel beta-sheet bounded by the N-terminal loop on one side and the C-terminal helix on the other. This surface overlaps with but is not identical to that mapped on several other chemokines for the binding of equivalent peptides derived from their respective receptors.     

Weak self-association of human growth hormone investigated by nitrogen-15 NMR relaxation

The self-association of human growth hormone(hGH) was investigated using 15N NMR relaxation.The investigation relies on the 15N R1 and R2 relaxation rates and the heteronuclear{1H}-15N NOEs of the backbone amide groups at multiple protein concentrations. It is shown that the rotational correlation time of hGH in solution depends strongly on its concentration, indicating a significant degree of self-association.The self-association is reversible and the monomers in the aggregates are noncovalently linked. Extrapolation of the relaxation data to zero concentration predicts a correlation time of 13.4 ns and a rotational diffusion anisotropy of 1.26 for monomeric hGH, in agreement with the rotational diffusion properties estimated by hydrodynamic calculations. Moreover, the extrapolation allows characterization of the backbone dynamics of monomeric hGH without interference from self-association phenomena, and it is found that hGH is considerably more flexible than originally thought. A concerted least-squares analysis of the 15N relaxations and their concentration dependence reveals that the self-association goes beyond a simple monomer-dimer equilibrium, and that tetramers or other multimeric states co-exist in fast exchange with the monomeric and dimeric hGH at sub-millimolar concentrations. Small changes in the 1H and 15N amide chemical shifts suggest that a region around the C-terminus is involved in the oligomer formation.     

Intramolecular dynamics of low molecular weight protein tyrosine phosphatase in monomer-dimer equilibrium studied by NMR: a model for changes in dynamics upon target binding

Low molecular weight protein tyrosine phosphatase (LMW-PTP) dimerizes in the phosphate-bound state in solution with a dissociation constant of K(d)=1.5(+/-0.1)mM and an off-rate on the order of 10(4)s(-1). 1H and 15N NMR chemical shifts identify the dimer interface, which is in excellent agreement with that observed in the crystal structure of the dimeric S19A mutant. Two tyrosine residues of each molecule interact with the active site of the other molecule, implying that the dimer may be taken as a model for a complex between LMW-PTP and a target protein. 15N relaxation rates for the monomeric and dimeric states were extrapolated from relaxation data acquired at four different protein concentrations. Relaxation data of satisfactory precision were extracted for the monomer, enabling model-free analyses of backbone fluctuations on pico- to nanosecond time scales. The dimer relaxation data are of lower quality due to extrapolation errors and the possible presence of higher-order oligomers at higher concentrations. A qualitative comparison of order parameters in the monomeric and apparent dimeric states shows that loops forming the dimer interface become rigidified upon dimerization. Qualitative information on monomer-dimer exchange and intramolecular conformational exchange was obtained from the concentration dependence of auto- and cross-correlated relaxation rates. The loop containing the catalytically important Asp129 fluctuates between different conformations in both the monomeric and dimeric (target bound) states. The exchange rate compares rather well with that of the catalyzed reaction step, supporting existing hypotheses that catalysis and enzyme dynamics may be coupled. The side-chain of Trp49, which is important for substrate specificity, exhibits conformational dynamics in the monomer that are largely quenched upon formation of the dimer, suggesting that binding is associated with the selection of a single side-chain conformer.     

NMR analysis of [methyl-13C]methionine UvrB from Bacillus caldotenax reveals UvrB-domain 4 heterodimer formation in solution

UvrB is a central DNA damage recognition protein involved in bacterial nucleotide excision repair. Structural information has been limited by the apparent disorder of the C-terminal domain 4 in crystal structures of intact UvrB; in solution, the isolated domain 4 is found to form a helix-loop-helix dimer. In order to gain insight into the behavior of UvrB in solution, we have performed NMR studies on [methyl-13C]methionine-labeled UvrB from Bacillus caldotenax (molecular mass=75 kDa). The 13 methyl resonances were assigned on the basis of site-directed mutagenesis and domain deletion. Solvent accessibility was assessed based on the relaxation and chemical shift responses of the probe methyl resonances to the stable nitroxide, 4-hydroxy-2,2,6,6-tetramethylpiperidine-1-oxyl (TEMPOL). M632, located at the potential dimer interface of domain 4, provides an ideal probe for UvrB dimerization behavior. The M632 resonance of UvrB is very broad, consistent with some degree of monomer-dimer exchange and/or conformational instability of the exposed dimer interface. Upon addition of unlabeled domain 4 peptide, the M632 resonance of UvrB sharpens and shifts to a position consistent with a UvrB-domain 4 heterodimer. A dissociation constant (KD) value of 3.3 microM for the binding constant of UvrB with the domain 4 peptide was derived from surface plasmon resonance studies. Due to the flexibility of the domain 3-4 linker, inferred from limited proteolysis data and from the relaxation behavior of linker residue M607, the position of domain 4 is constrained not by the stiffness of the linking segment but by direct interactions with domains 1-3 in UvrB. In summary, UvrB homodimerization is disfavored, while domain 4 homodimerization and UvrB-domain 4 heterodimerization are allowed.     

Computer modeling of estradiol interactions with the estrogen receptor

Two computer models for the binding of estradiol to estrogen receptors were constructed, based solely upon the thermodynamic constraints of the most likely equilibria involved and known equilibrium constants. Previous data had suggested that the positive cooperativity of the system was dependent upon a monomer-dimer equilibrium (Notides et al., Proc. natn. Acad. Sci., U.S.A. 78 (1981) 4926-4930). Using computer modeling, we confirmed that the thermodynamic constraints of a monomer-dimer equilibrium system result in convex Scatchard plots in agreement with experimental data, including the progression to linearity at low receptor concentrations. This technique yielded estimates of the equilibrium constant for dimerization (approx. 10(10) to 10(14) M-1). The dose-response characteristics of the monomer-dimer equilibrium system revealed steep dose-response curves that were sensitive to the receptor concentration. In contrast, the dose-response curves that did not undergo a monomer-dimer equilibrium system and had a single step equilibrium process were more gradual.     

Peptide-induced membrane elastic deformations decelerate gramicidin dimer-monomer equilibration

Gramicidin A (gA) is a hydrophobic pentadecapeptide readily incorporating into a planar bilayer lipid membrane (BLM), thereby inducing a large macroscopic current across the BLM. This current results from ion-channel formation due to head-to-head transbilayer dimerization of gA monomers with rapidly established monomer-dimer equilibrium. Any disturbance of the equilibrium, e.g., by sensitized photoinactivation of a portion of gA monomers, causes relaxation toward a new equilibrium state. According to previous studies, the characteristic relaxation time of the gA-mediated electric current decreases as the current increases upon elevating the gA concentration in the membrane. Here, we report data on the current relaxation kinetics for gA analogs with N-terminal valine replaced by glycine or tyrosine. Surprisingly, the relaxation time increased rather than decreased upon elevation of the total membrane conductance induced by these gA analogs, thus contradicting the classical kinetic scheme. We developed a general theoretical model that accounts for lateral interaction of monomers and dimers mediated by membrane elastic deformations. The modified kinetic scheme of the gramicidin dimerization predicts the reverse dependence of the relaxation time on membrane conductance for gA analogs, with a decreased dimerization constant that is in a good agreement with our experimental data. The equilibration process may be also modulated by incorporation of other peptides (“impurities”) into the lipid membrane.     

Contributions of a disulfide bond to the structure, stability, and dimerization of human IgG1 antibody CH3 domain

Recombinant human monoclonal antibodies have become important protein-based therapeutics for the treatment of various diseases. The antibody structure is complex, consisting of beta-sheet rich domains stabilized by multiple disulfide bridges. The dimerization of the C(H)3 domain in the constant region of the heavy chain plays a pivotal role in the assembly of an antibody. This domain contains a single buried, highly conserved disulfide bond. This disulfide bond was not required for dimerization, since a recombinant human C(H)3 domain, even in the reduced state, existed as a dimer. Spectroscopic analyses showed that the secondary and tertiary structures of reduced and oxidized C(H)3 dimer were similar, but differences were observed. The reduced C(H)3 dimer was less stable than the oxidized form to denaturation by guanidinium chloride (GdmCl), pH, or heat. Equilibrium sedimentation revealed that the reduced dimer dissociated at lower GdmCl concentration than the oxidized form. This implies that the disulfide bond shifts the monomer-dimer equilibrium. Interestingly, the dimer-monomer dissociation transition occurred at lower GdmCl concentration than the unfolding transition. Thus, disulfide bond formation in the human C(H)3 domain is important for stability and dimerization. Here we show the importance of the role played by the disulfide bond and how it affects the stability and monomer-dimer equilibrium of the human C(H)3 domain. Hence, these results may have implications for the stability of the intact antibody.     

Solution structure of the coxsackievirus and adenovirus receptor domain 1

The coxsackievirus and adenovirus receptor (CAR) mediates entry of coxsackievirus B (CVB) and adenovirus (Ad). The normal cellular function of CAR, which is expressed in a wide variety of tissue types, is thought to involve homophilic cell adhesion in the developing brain. The extracellular domain of CAR consists of two immunoglobulin (Ig) domains termed CAR-D1 and CAR-D2. CAR-D1 is shown by sedimentation velocity to be monomeric at pH 3.0. The solution structure and the dynamic properties of monomeric CAR-D1 have been determined by NMR spectroscopy at pH 3.0. The determinants of the CAR-D1 monomer-dimer equilibrium, as well as the binding site of CVB and Ad on CAR, are discussed in light of the monomer structure.     

Monomeric variants of IL-8: effects of side chain substitutions and solution conditions upon dimer formation.

IL-8 dimers have been observed in NMR and X-ray structures of the protein. We have engineered IL-8 monomers by mutations of residues throughout the dimer interface, which introduce hindrance determinants to dimerization. These IL-8 variants are shown by NMR to have wild-type monomer folding, but by ultracentrifugation to have a range of dimerization constants from microM to mM, as compared with a dimerization constant of about 10 microM for wild-type IL-8, under physiological salt and temperature conditions. The monomeric variants of IL-8 bind the erythrocyte chemokine receptor DARC, as well as the neutrophil IL-8 receptors CXCR1 and CXCR2 with affinities similar to that of wild-type IL-8. In addition, the monomeric variants were shown to have agonist activity, with similar potency to wild-type, in both Ca(2+)-flux assays on CXCR1 and CXCR2 transfected cells, and in chemotaxis assays on neutrophils. Thus, these variants confirm that monomeric IL-8 is functionally equivalent to wild-type in vitro assays. We have also investigated the effects of various solution conditions upon IL-8 dimer formation using analytical ultracentrifugation. At salt concentrations, temperatures, and pH conditions lower than physiological, the dimerization affinity of IL-8 is greatly enhanced. This suggests that, under some conditions, IL-8 dimer formation may occur at concentrations of IL-8 considerably lower than 10 microM, with consequences in vivo that are yet to be determined.     

Backbone dynamics of a biologically active human FGF-1 monomer, complexed to a hexasaccharide heparin-analogue, by 15N NMR relaxation methods

The binding site and backbone dynamics of a bioactive complex formed by the acidic fibroblast growth factor (FGF-1) and a specifically designed heparin hexasaccharide has been investigated by HSQC and relaxation NMR methods. The comparison of the relaxation data for the free and bound states has allowed showing that the complex is monomeric, and still induces mutagenesis, and that the protein backbone presents reduced motion in different timescale in its bound state, except in certain points that are involved in the interaction with the fibroblast growth factor receptor (FGFR).Angeles Canales-Mayordomo and Rosa Fayos have contributed equally to this research.     

Structure, dynamics, and thermodynamics of the structural domain of troponin C in complex with the regulatory peptide 1-40 of troponin I

The structure of the calcium-saturated C-domain of skeletal troponin C (CTnC) in complex with a regulatory peptide comprising residues 1-40 (Rp40) of troponin I (TnI) was determined using nuclear magnetic resonance (NMR) spectroscopy. The solution structure determined by NMR is similar to the structure of the C-domain from intact TnC in complex with TnI(1)(-)(47) determined by X-ray crystallography [Vassylyev, D. G., Takeda, S., Wakatsuki, S., Maeda, K., and Maeda, Y. (1998) Proc. Natl. Acad. Sci. U.S.A. 95, 4847-4852]. Changes in the dynamic properties of CTnC.2Ca2+ induced by Rp40 binding were investigated using backbone amide (15)N NMR relaxation measurements. Analysis of NMR relaxation data allows for extraction of motional order parameters on a per residue basis, from which the contribution of changes in picosecond to nanosecond time scale motions to the conformational entropy associated with complex formation can be estimated. The results indicate that binding of Rp40 decreases backbone flexibility in CTnC, particularly at the end of the C-terminal helix. The backbone conformational entropy change (-TDeltaS) associated with binding of Rp40 to CTnC.2Ca2+ determined from (15)N relaxation data is 9.6 +/- 0.7 kcal mol(-1) at 30 degrees C. However, estimation of thermodynamic quantities using a structural approach [Lavigne, P., Bagu, J. R., Boyko, R., Willard, L., Holmes, C. F., and Sykes, B. D. (2000) Protein Sci. 9, 252-264] reveals that the change in solvation entropy upon complex formation is dominant and overcomes the thermodynamic "cost" associated with "stiffening" of the protein backbone upon Rp40 binding. Additionally, backbone amide (15)N relaxation data measured at different concentrations of CTnC.2Ca2+.Rp40 reveal that the complex dimerizes in solution. Fitting of the apparent global rotational correlation time as a function of concentration to a monomer-dimer equilibrium yields a dimerization constant of approximately 8.3 mM.     

1H, 15N, and 13C resonance assignments for a monomeric mutant of the HIV-1 capsid protein

The mature fullerene cone-shaped capsid of the human immunodeficiency virus 1 is composed of about 1,500 copies of the capsid protein (CA). The CA is 231 residues long, and consists of two distinct structural domains, the N-terminal domain and the C-terminal domain (CTD), joined by a flexible linker. The wild type CA exhibits monomer-dimer equilibrium in solution through the CTD-CTD dimerization. This CTD-CTD interaction, together with other intermolecular interdomain interactions, plays significant roles during the assembly of the mature capsid. In addition, CA-CA interactions also play a role in the assembly of the immature virion. The CA also interacts with some host cell proteins within the viral replication cycle. Thus, the capsid protein has been of significant interest as a target for designing inhibitors of assembly of immature virions and mature capsids and inhibitors of its interactions with host cell proteins. However, the equilibrium exhibited by the wild-type CA protein between the monomeric and dimeric states, along with the inherent flexibility from the interdomain linker, have hindered attempts at structural determination by solution NMR and X-ray crystallography methods. In this study, we have utilized a CA protein with W184A and M185A mutations that abolish the dimerization of CA protein as well as its infectivity, but preserve most of the remaining properties of the wild type CA. We have determined the detailed solution structure of the monomeric W184A/M185A-CA protein using 3D-NMR spectroscopy. Here, we present the detailed sequence-specific NMR assignments for this protein.     

Mathematical analysis of ligand-induced monomerization and dimerization in the monomer dimer equilibrium of proteins. Application to D-amino acid oxidase.

We have mathematically analyzed ligand-induced monomerization and dimerization in a protein monomer-dimer equilibrium system, in which the monomer has one and the dimer two binding sites. These dimer sites have the same binding constants for the first ligand but may cooperatively interact when one of them is occupied by a ligand molecule. In this system, the apparent dimerization constant and the apparent molecular weight are functions of free ligand concentration, and depend on the intrinsic binding constants of the ligand molecule to the monomer and the dimer. The behavior of these functions is classified into 17 cases according to the values of the three intrinsic binding constants, and some calculated examples are shown graphically for selected parameters. The theory was also applied to D-amino acid oxidase [EC 1.4.3.3], a flavoprotein, and the pH dependence of the apparent dimerization constant and the apparent molecular weight in the presence of ligand, p-aminobenzoate, were studied theoretically using parameters obtained in our previous experiments (5).