A novel spectroscopic titration method for determining the dissociation constant and stoichiometry of protein-ligand complex.

We offer a new titration protocol for determining the dissociation constant and binding stoichiometry of protein-ligand complex, detectable by spectroscopic methods. This approach neither is limited to the range of protein or ligand concentrations employed during titration experiment nor relies on precise determinations of the titration "endpoint," i.e., the maximal signal changes upon saturation of protein by ligand (or vice versa). In this procedure, a fixed concentration of protein (or ligand) is titrated by increasing volumes of a stock ligand (or protein) solution, and the changes in the spectroscopic signal are recorded after each addition of the titrant. The signal for interaction between protein and ligand first increases, reaches a maximum value, and then starts decreasing due to dilution effect. The volume of the titrant required to achieve the maximum signal changes is utilized to calculate the dissociation constant and the binding stoichiometry of the protein-ligand complex according to the theoretical relationships developed herein. This procedure has been tested for the interaction of avidin with a chromophoric biotin analogue, 2-(4'-hydroxyazobenzene)benzoic acid by following the absorption signal of their interaction at 500 nm. The widespread applicability of this procedure to protein-ligand complexes detected by other spectroscopic techniques and its advantages over conventional methods are discussed.     

Signal/noise analysis of FRET-based sensors

Molecular sensors based on intramolecular Förster resonance energy transfer (FRET) have become versatile tools to monitor regulatory molecules in living tissue. However, their use is often compromised by low signal strength and excessive noise. We analyzed signal/noise (SNR) aspects of spectral FRET analysis methods, with the following conclusions: The most commonly used method (measurement of the emission ratio after a single short wavelength excitation) is optimal in terms of signal/noise, if only relative changes of this uncalibrated ratio are of interest. In the case that quantitative data on FRET efficiencies are required, these can be calculated from the emission ratio and some calibration parameters, but at reduced SNR. Lux-FRET, a recently described method for spectral analysis of FRET data, allows one to do so in three different ways, each based on a ratio of two out of three measured fluorescence signals (the donor and acceptor signal during a short-wavelength excitation and the acceptor signal during long wavelength excitation). Lux-FRET also allows for calculation of the total abundance of donor and acceptor fluorophores. The SNR for all these quantities is lower than that of the plain emission ratio due to unfavorable error propagation. However, if ligand concentration is calculated either from lux-FRET values or else, after its calibration, from the emission ratio, SNR for both analysis modes is very similar. Likewise, SNR values are similar, if the noise of these quantities is related to the expected dynamic range. We demonstrate these relationships based on data from an Epac-based cAMP sensor and discuss how the SNR changes with the FRET efficiency and the number of photons collected.     

Effects of thermodynamic nonideality in ligand binding studies

Effects of thermodynamic nonideality are considered in relation to the quantitative characterization of the interaction between a small ligand. S, and a macromolecular acceptor. A, by two types of experimental procedure. The first involves determination of the concentration of ligand in dialysis equilibrium with the acceptor/ligand mixture, and the second, measurement of the concentration of unbound ligand in the reaction mixture by ultrafiltration or the rate of dialysis method. For each situation explicit expressions are formulated for the appropriate binding function with allowance for composition-dependent nonideality effects expressed in terms of molar volume, charge-charge interaction and covolume contributions. The magnitudes of these effects are explored with the aid of experimental studies on the binding of tryptophan and of methyl orange to bovine serum albumin. It is concluded for experiments conducted utilizing either equilibrium dialysis or frontal gel chromatography that, provided a correction is made for any Donnan redistribution of ligand, theoretically predicted acceptor-concentration dependence is likely to be negligible and that use of the conventional binding equation written for an ideal system is appropriate to the analysis of the results. Use of ultrafiltration or the rate of dialysis method requires examination of the assumption that the activity coefficient ratio y(A)y(s)/y(AS) for the reaction mixture approximates unity; but again reassurance is provided that nonideality manifested as a dependence of the binding function on acceptor concentration is unlikely to be significant.     

Quantitative evaluation of solution equilibrium binding interactions by affinity partitioning: application to specific and nonspecific protein-heparin interactions

A variation of the quantitative affinity chromatography (QAC) method of Winzor, Chaiken, and co-workers for the analysis of protein-ligand interactions has been developed and used to characterize sequence-specific and nonspecific protein-heparin interactions relevant to blood coagulation. The method allows quantitation of the binding of two components, A and B, from the competitive effect of one component, B, on the partitioning of the other component, A, between an immobilized acceptor phase and solution phase at equilibrium. Under the conditions employed, the differences in total A concentrations yielding an equivalent degree of saturation of the immobilized acceptor in the absence and presence of B defines the concentration of A bound to B in solution, thereby enabling conventional Scatchard or nonlinear least-squares analysis of the A-B equilibrium interaction. Like the QAC method, quantitation of the competitor interaction does not depend on the nature of the affinity matrix interaction, which need only be described empirically. The additional advantage of the difference method is that only the total rather than the free competitor ligand concentration need be known. The method requires that the partitioning component A be univalent, but allows for multivalency in the competitor, B, and can in principle be used to study binding interactions involving nonidentical, interacting, or nonspecific overlapping sites. Both the binding constant and the stoichiometry for the specific antithrombin-heparin interaction as well as the apparent binding constant for the nonspecific thrombin-heparin interaction at low thrombin binding densities obtained using this technique were in excellent agreement with values determined using spectroscopic probes.     

A general method of analysis of ligand-macromolecule equilibria using a spectroscopic signal from the ligand to monitor binding. Application to Escherichia coli single-strand binding protein-nucleic acid interactions

We describe a general method for the analysis of ligand-macromolecule binding equilibria for cases in which the interaction is monitored by a change in a signal originating from the ligand. This method allows the absolute determination of the average degree of ligand binding per macromolecule without any assumptions concerning the number of modes or states for ligand binding or the relationship between the fractional signal change and the fraction of bound ligand. Although this method is generally applicable to any type of signal, we discuss the details of the method as it applies to the analysis of binding data monitored by a change in fluorescence of a ligand upon binding to a nucleic acid. We apply the analysis to the equilibrium binding of Escherichia coli single-strand binding (SSB) protein to single-stranded nucleic acids, which is monitored by the quenching of the intrinsic tryptophan fluorescence of the SSB protein. With this method, one can quantitatively determine the relationship between the fractional signal change of the ligand and the fraction of bound ligand, LB/LT, and rigorously test whether the signal change is directly proportional to LB/LT. For E. coli SSB protein binding to single-stranded nucleic acids in its (SSB)65 binding mode [Lohman, T. M., & Overman, L. B. (1985) J. Biol. Chem. 260, 3594; Chrysogelos, S., & Griffith, J. (1982) Proc. Natl. Acad. Sci. U.S.A. 79, 5803], we show that the fractional quenching of the SSB fluorescence is equal to the fraction of bound SSB.     

A new graphic method for determining the rate constant for affinity of a ligand for its receptor]

A new method of determination of the equilibrium constant for a ligand binding to acceptor and evaluation of the number of binding sites on the acceptor molecules (or cells) is suggested. The method is simpler, more convenient, and more precise than Klotz's or Scatchard's method.     

Kinetic model of protein-mediated ligand transport: influence of soluble binding proteins on the intermembrane diffusion of a fluorescent fatty acid

The mechanism (or mechanisms) whereby fatty acids and other amphipathic compounds are transported from the plasma membrane to intracellular sites of biotransformation remains poorly defined. In an attempt to better characterize the role of cytosolic binding proteins in this process, a kinetic model of intermembrane ligand transport was developed in which diffusional transfer of ligand between membrane and protein is assumed. The model was tested by utilizing stopped-flow techniques to monitor the transfer of the fluorescent fatty acid analogue, 12-anthroyloxy stearate (12-AS), between model membrane vesicles. Studies were conducted in the presence or absence of bovine serum albumin (BSA), liver fatty acid-binding protein (L-FABP), and intestinal fatty acid-binding protein (I-FABP) in order to determine the effect of soluble proteins on the rate of intermembrane ligand transfer. As predicted by the model, the initial velocity of 12-AS arrival at the acceptor membrane increases in an asymptotic manner with the acceptor concentration. Furthermore, probe transfer velocity was found to decline asymptotically with increasing concentrations of BSA or L-FABP, proteins that exhibit diffusional transfer kinetics. This observation was found to hold true independent of whether donor or acceptor vesicles were preequilibrated with the protein. In contrast, 12-AS transfer velocity exhibited a linear correlation with the concentration of I-FABP, a protein that is thought to transport fatty acids, at least in part, via a collisional mechanism. Taken together, these findings validate the derived kinetic model of protein-mediated ligand transport and further suggest that the mechanism of ligand-protein interaction is a key determinant of the effect of cytosolic proteins on intracellular ligand diffusion.     

Real-time Monitoring of Ligand-receptor Interactions with Fluorescence Resonance Energy Transfer

FRET is a process whereby energy is non-radiatively transferred from an excited donor molecule to a ground-state acceptor molecule through long-range dipole-dipole interactions¹. In the present sensing assay, we utilize an interesting property of PDA: blue-shift in the UV-Vis electronic absorption spectrum of PDA (Figure 1) after an analyte interacts with receptors attached to PDA^2,3,4,7. This shift in the PDA absorption spectrum provides changes in the spectral overlap (J) between PDA (acceptor) and rhodamine (donor) that leads to changes in the FRET efficiency. Thus, the interactions between analyte (ligand) and receptors are detected through FRET between donor fluorophores and PDA. In particular, we show the sensing of a model protein molecule streptavidin. We also demonstrate the covalent-binding of bovine serum albumin (BSA) to the liposome surface with FRET mechanism. These interactions between the bilayer liposomes and protein molecules can be sensed in real-time. The proposed method is a general method for sensing small chemical and large biochemical molecules. Since fluorescence is intrinsically more sensitive than colorimetry, the detection limit of the assay can be in sub-nanomolar range or lower⁸. Further, PDA can act as a universal acceptor in FRET, which means that multiple sensors can be developed with PDA (acceptor) functionalized with donors and different receptors attached on the surface of PDA liposomes.     

The binding of a ligand to an acceptor undergoing indefinite self-association

Explicit expressions are derived which describe the binding of a univalent ligand to equivalent and independent sites on each state of an acceptor undergoing indefinite self-association that is governed by an isodesmic equilibrium constant KI. From considerations of systems in which the same site-binding constant kA applies to all acceptor-ligand interactions, the general forms of binding curves and Scatchard plots are deduced for situations in which binding sites are either created or lost at each monomer-monomer interface. Greater generality is then introduced into the model by allowing ligand interactions with polymeric acceptor states to be governed by a site-binding constant kp that differs in magnitude from that for monomeric acceptor kA. Finally, experimental results with the glutamate dehydrogenase-GTP and lysozyme-saccharide systems are used to illustrate ways in which the present quantitative expressions may be applied to the characterization of inteactions between a ligand and an indefinitely self-associating acceptor.     

A model of photoprobe docking with beta1,4-galactosyltransferase identifies a possible carboxylate involved in glycosylation steps

A molecular docking study has been performed on the interaction of beta1,4-galactosyltransferase with an acceptor site photoprobe. This is based on an acceptor site peptide fragment which was recently identified by the use of a photoprobe. The present model strongly suggests that the carboxylate group of Asp318 could be involved in the activation of the acceptor sugar 4-OH for the efficient galactosyltransfer. The result also exemplified that the combination of photoaffinity labeling with crystallography is a powerful method for the detailed structural analysis of ligand protein complex.     

Ligand-affinity sedimentation equilibrium using an air-driven ultracentrifuge

An air-driven ultracentrifuge has been used to study the distribution of radioactive ligands at sedimentation equilibrium. In the presence of a suitable acceptor and under conditions where the ligand is essentially all bound the distribution of ligand can be analyzed to yield the molecular weight of the acceptor molecule. Suitable conditions can be chosen either experimentally by measuring the ratio of bound ligand compared to unbound ligand or theoretically for systems in which the ligand-binding affinity and number of acceptor binding sites is known. The method is applicable to the molecular characterization of binding proteins in crude mixtures and results are presented for the binding of various fatty acids to serum albumin samples.     

Structure and spectroscopy of the periplasmic cytochrome c nitrite reductase from Escherichia coli

The crystal structure and spectroscopic properties of the periplasmic penta-heme cytochrome c nitrite reductase (NrfA) of Escherichia coli are presented. The structure is the first for a member of the NrfA subgroup that utilize a soluble penta-heme cytochrome, NrfB, as a redox partner. Comparison to the structures of Wolinella succinogenes NrfA and Sulfospirillum deleyianum NrfA, which accept electrons from a membrane-anchored tetra-heme cytochrome (NrfH), reveals notable differences in the protein surface around heme 2, which may be the docking site for the redox partner. The structure shows that four of the NrfA hemes (hemes 2-5) have bis-histidine axial heme-Fe ligation. The catalytic heme-Fe (heme 1) has a lysine distal ligand and an oxygen atom proximal ligand. Analysis of NrfA in solution by magnetic circular dichroism (MCD) suggested that the oxygen ligand arose from water. Electron paramagnetic resonance (EPR) spectra were collected from electrochemically poised NrfA samples. Broad perpendicular mode signals at g similar 10.8 and 3.5, characteristic of weakly spin-coupled S = 5/2, S = 1/2 paramagnets, titrated with E(m) = -107 mV. A possible origin for these are the active site Lys-OH(2) coordinated heme (heme 1) and a nearby bis-His coordinated heme (heme 3). A rhombic heme Fe(III) EPR signal at g(z) = 2.91, g(y) = 2.3, g(x) = 1.5 titrated with E(m) = -37 mV and is likely to arise from bis-His coordinated heme (heme 2) in which the interplanar angle of the imidazole rings is 21.2. The final two bis-His coordinated hemes (hemes 4 and 5) have imidazole interplanar angles of 64.4 and 71.8. Either, or both, of these hemes could give rise to a "Large g max" EPR signal at g(z)() = 3.17 that titrated at potentials between -250 and -400 mV. Previous spectroscopic studies on NrfA from a number of bacterial species are considered in the light of the structure-based spectro-potentiometric analysis presented for the E. coli NrfA.     

Structural changes of yellow Cameleon domains observed by quantitative FRET analysis and polarized fluorescence correlation spectroscopy

Förster resonance energy transfer (FRET) is a widely used method for monitoring interactions between or within biological macromolecules conjugated with suitable donor-acceptor pairs. Donor fluorescence lifetimes in absence and presence of acceptor molecules are often measured for the observation of FRET. However, these lifetimes may originate from interacting and noninteracting molecules, which hampers quantitative interpretation of FRET data. We describe a methodology for the detection of FRET that monitors the rise time of acceptor fluorescence on donor excitation thereby detecting only those molecules undergoing FRET. The large advantage of this method, as compared to donor fluorescence quenching method used more commonly, is that the transfer rate of FRET can be determined accurately even in cases where the FRET efficiencies approach 100% yielding highly quenched donor fluorescence. Subsequently, the relative orientation between donor and acceptor chromophores is obtained from time-dependent fluorescence anisotropy measurements carried out under identical conditions of donor excitation and acceptor detection. The FRET based calcium sensor Yellow Cameleon 3.60 (YC3.60) was used because it changes its conformation on calcium binding, thereby increasing the FRET efficiency. After mapping distances and orientation angles between the FRET moieties in YC3.60, cartoon models of this FRET sensor with and without calcium could be created. Independent support for these representations came from experiments where the hydrodynamic properties of YC3.60 under ensemble and single-molecule conditions on selective excitation of the acceptor were determined. From rotational diffusion times as found by fluorescence correlation spectroscopy and consistently by fluorescence anisotropy decay analysis it could be concluded that the open structure (without calcium) is flexible as opposed to the rather rigid closed conformation. The combination of two independent methods gives consistent results and presents a rapid and specific methodology to analyze structural and dynamical changes in a protein on ligand binding.     

Effects of ligand multivalency in binding studies: a general counterpart of the Scatchard analysis

A general counterpart of the Scatchard analysis has been developed which takes into account the valence of the ligand. Its use is first demonstrated by application to binding data obtained by exclusion chromatography of mixtures of Dextran T2000 and concanavalin A (a bivalent ligand) on a column of porous glass beads (Glyceryl-CPG 170) equilibrated at 5 degrees C with phosphate-chloride buffer (pH 5.5), I 0.5. A recycling partition equilibrium study with Sephadex G-100 as gel phase then provides a quantitative evaluation of the interaction between haemoglobin and a monoclonal mouse antihaemoglobin antibody preparation in 0.1 M phosphate (pH 7.0) in order to emphasize the ability of the present analysis to consider collectively binding results obtained with a range of acceptor concentrations. Finally, the use of the generalized Scatchard analysis to assess acceptor site homogeneity is illustrated by reappraisal of results for the binding of glyceraldehyde-3-phosphate dehydrogenase to erythrocyte membranes.     

Effects of ligand multivalency in binding studies: a general counterpart of the Scatchard analysis

A general counterpart of the Scatchard analysis has been developed which takes into account the valence of the ligand. Its use is first demonstrated by application to binding data obtained by exclusion chromatography of mixtures of Dextran T2000 and concanavalin A (a bivalent ligand) on a column of porous glass beads (Glyceryl-CPG 170) equilibrated at 5°C with phosphate-chloride buffer (pH 5.5), I 0.5. A recycling partition equilibrium study with Sephadex G-100 as gel phase then provides a quantitative evaluation of the interaction between haemoglobin and a monoclonal mouse antihaemoglobin antibody preparation in 0.1 M phosphate (pH 7.0) in order to emphasize the ability of the present analysis to consider collectively binding results obtained with a range of acceptor concentrations. Finally, the use of the generalized Scatchard analysis to assess acceptor site homogeneity is illustrated by reappraisal of results for the binding of glyceraldehyde-3-phosphate dehydrogenase to erythrocyte membranes.     

Relative spectral response as a function of sequential ligand binding

A unique method is presented for the determination of the critical number of ligands that must bind to a macromolecule to elicit a spectroscopic response. This method is based on analysis of ligand binding data. For example, four Ca2+ and two Mg2+ ions are necessary for mirroring the relative decrease in the intrinsic fluorescence of bovine prothrombin fragment 1. For application of the method, ligand loading and relative spectroscopic response data must be measured over a full range of concentrations.     

The active site of purple acid phosphatase from sweet potatoes (Ipomoea batatas) metal content and spectroscopic characterization.

Purple acid phosphatase from sweet potatoes Ipomoea batatas (spPAP) has been purified to homogeneity and characterized using spectroscopic investigations. Matrix-assisted laser desorption/ionization mass spectrometry analysis revealed a molecular mass of approximately 112 kDa. The metal content was determined by X-ray fluorescence using synchrotron radiation. In contrast to previous studies it is shown that spPAP contains a Fe(III)-Zn(II) center in the active site as previously determined for the purple acid phosphatase from red kidney bean (kbPAP). Moreover, an alignment of the amino acid sequences suggests that the residues involved in metal-binding are identical in both plant PAPs. Tyrosine functions as one of the ligands for the chromophoric Fe(III). Low temperature EPR spectra of spPAP show a signal near g = 4.3, characteristic for high-spin Fe(III) in a rhombic environment. The Tyr-Fe(III) charge transfer transition and the EPR signal are both very sensitive to changes in pH. The pH dependency strongly suggests the presence of an ionizable group with a pKa of 4.7, arising from an aquo ligand coordinated to Fe(III). EPR and UV/visible studies of spPAP in the presence of the inhibitors phosphate or arsenate suggest that both anions bind to Fe(III) in the binuclear center replacing the coordinated water or hydroxide ligand necessary for hydrolysis. The conserved histidine residues of spPAP corresponding to His202 and His296 in kbPAP probably interact in catalysis.     

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.     

Identification of the fifth axial heme ligand of chloroperoxidase

Chloroperoxidase from Caldariomyces fumago catalyzes the peroxidative chlorination of organic acceptor molecules. From a variety of spectroscopic data, it had long been thought that chloroperoxidase possessed an active site structure similar to that of cytochrome P-450cam. Resonance Raman studies conducted with isotopically substituted enzyme proved conclusively that the fifth axial ligand to the ferriprotoporphyrin IX moiety of chloroperoxidase is indeed a cysteine thiolate (Bangcharoenpaurpong, O., Champion, P. M., Hall, K. S., and Hager, L. P. (1986) Biochemistry 25, 2374-2378). In this study, Ellman's reagent, 5,5'-dithiobis(2-nitrobenzoic acid), was used to ascertain which of the 3 cysteine residues in the primary structure of chloroperoxidase serves as the fifth axial heme ligand; two of the cysteine residues were earlier shown to be involved in a disulfide linkage. Apoprotein was labeled under denaturing conditions with 5,5'-dithiobis(2-nitrobenzoic acid). A unique peptide, containing the thionitrobenzoate adduct, was isolated via reverse phase HPLC following digestion with endoproteinase Glu-C. Amino acid and Edman sequence analysis revealed the fifth axial ligand in chloroperoxidase to be cysteine 29. Under reducing and denaturing conditions, incubation of apochloroperoxidase with Ellman's reagent resulted in 3 labeled residues. Proteolysis and isolation of the labeled peptides using reverse phase HPLC and subsequent Edman sequence analysis detected and identified the thionitrobenzoate adducts of each of the three cysteinyl peptides of chloroperoxidase.     

Crystal structure of GGA2 VHS domain and its implication in plasticity in the ligand binding pocket

Golgi-localized, gamma-ear-containing, ARF binding (GGA) proteins regulate intracellular vesicle transport by recognizing sorting signals on the cargo surface in the initial step of the budding process. The VHS (VPS27, Hrs, and STAM) domain of GGA binds with the signal peptides. Here, a crystal structure of the VHS domain of GGA2 is reported at 2.2 A resolution, which permits a direct comparison with that of homologous proteins, GGA1 and GGA3. Significant structural difference is present in the loop between helices 6 and 7, which forms part of the ligand binding pocket. Intrinsic fluorescence spectroscopic study indicates that this loop undergoes a conformational change upon ligand binding. Thus, the current structure suggests that a conformational change induced by ligand binding occurs in this part of the ligand pocket.