Competitive cooperative bindings of a small ligand to a linear polymer. II. Investigations on the mechanisms of proflavine binding to poly (A) and DNA.

Experimental binding isotherms relative to the interactions between proflavine and poly(A) or DNA are analyzed by comparison with theoretical models dealing with competitive cooperative bindings. In the case of poly(A), there are apparently no specific binding sites for the positive co-operative binding (complex I) leading to dye aggregation along the polyanionic chain. The second complex (complex II) seems to involve specific base-dye interactions, but it cannot be said whether this binding displays negative cooperativity or noncooperativity. None of the two simpler theoretical models agree quantitatively with all experimental data. A plausible interpretation can be given if it is assumed that (i) the electrostatic binding of one isolated bound dye molecule (nucleus of complex I) involves a definite interaction between a phosphate group and the positive charge of the dye; (ii) the structure of complex II is such that a dye–phosphate ionic interaction is maintained. In the case of DNA, our model of monoexclusive interactions fits the data more closely than does the model of biexclusive interactions. This gives experimental support for structural models in which the intercalated molecule interacts preferentially with one strand of the double helix and blocks only one phosphate for electrostatic binding. In order to propose a mechanism consistent with equilibrium and relaxation kinetic data, a modified reaction scheme is considered which takes account of the cooperativity effects in external binding and extends previous models.     

Cooperation effects in binding of large ligands to DNA. II. Contact interactions between adsorbed ligands

Cooperative effects arising upon binding of biologically active ligands to DNA are considered. Equations are derived which enable one to describe the binding of two different ligands to DNA. We also consider the case when ligand can form two type of DNA complexes. The cooperative binding of the ligand in the vicinity of saturation level of binding can be described with a good accuracy by equation derived for the non-cooperative adsorption of the same ligand with some effective binding constant Keff. It is shown that cooperative effects arising upon binding of proteins and other ligands to DNA can be divided into two groups depending on the symmetry of interactions between the bound ligand molecules. In particular, if such interactions favor the formation of dimeric ligand species on the DNA, Keff approximately a1/2, where a is the ligand-ligand interaction constant. If cooperative interactions favor the formation of aggregates of unrestricted size, then Keff approximately aL+Y, where L is the size of the binding site for the ligand on DNA.     

Interactions between distamycin A analogs bound to DNA

The experimental binding isotherms of the distamycin A analog to 8 natural and synthetic DNAs were analyzed. The shapes of binding isotherms suggest that the bound ligand molecule induces transitions of DNA (B-form) into two perturbated conformation states. These transitions are responsible for the existence of positive and negative cooperative effects on binding of distamycin analogs to DNA. At low levels of binding positive cooperative effects play a dominating role whereas at high levels of binding negative cooperative effects are observed. These cooperative effects can be described by the aid of a potential of pairwise interactions between nearest neighbour bound antibiotic molecules. A detailed analysis of experimental binding isotherms shows that characteristic distances over which these interactions are extended depend on the AT content of DNA. The energetical and structural parameters characterising the allosteric transitions of DNA to the perturbated states are obtained.     

On the analysis of linear binding effects associated with curved Scatchard plots.

First the question is examined as to which binding data, especially if given as Scatchard plots, can be described in terms of a basic model mechanism. This referes to a linear lattice of equivalent binding sites (as for example located on a linear biopolymer) which can exert cooperative interaction between nearest neighbors. It is shown that the effect of overlapping of potential site (so-called "multiple-contact"binding), as may occur with larger ligands, will largely be compensated by a higher degree of cooperativity. Therefore, in practice such properties can scarcely be separated by means of oridnary binding experiments. A pronounced inflection point in the Scatchard plot turns out to be clearly indicating a more complex mechanism involving at least two rather antagonistic cooperative interactions which may, however, occur even between equivalent binding sites. Finally some consequences of different classes of bindings sites are considered. In particular a simple approach is introduced by which the binding to mutually exclusive classes of sites may be described. Such a model is of interest for multiple-mode binding of ionic ligands to oppositely charged polymers.     

Calorimetric analysis of aspartate transcarbamylase from Escherichia coli: binding of cytosine 5'-triphosphate and adenosine 5'-triphosphate.

The binding of CTP and ATP to aspartate transcarbamylase at pH 7.8 and 8.5 at 25 degrees has been investigated by equilibrium dialysis and flow microcalorimetry. The binding isotherms for CTP at both pH 7.8 and 8.5 and ATP AT PH 8.5 can be fit by a model which assumes three tight, three moderately tight, and six weak binding sites. The binding isotherms for ATP at pH 7.8 are best fit by a model which assumes six tight and six weaker sites. Both finite differenceH binding and finite differenceS binding are negative for both nucleotides at both pH values, so that the binding is enthalpy driven. For both nucleotides, finite differenceH is the same for the first two classes of binding sites, implying that the difference in the dissociation constants of these two classes of sites is the result of entropic effects. Direct pH measurements and calorimetric measurements in two buffers with very different heats of ionization (Tris and Hepes) indicate that the binding of both nucleotides is accompanied by the binding of protons. In the pH range 6.7-8.4, the number of moles of protons bound per mole of nucleotide increases as the pH decreases.     

Nucleoprotein fusion. III. Causes and conditions for development of the multiphase character of the DNA--protein fusion curve

The influence of proteins reversibly and irreversibly bound to DNA on the shape of melting curve has been considered. It is shown that the melting curve becomes biphasic in two cases: (i) cooperative binding of proteins with DNA (II) STRONG DIFFERENCE IN THE BINDING CONSTANTS WITH HELICAL AND COILED REGIONS. Simple formulae permitting to determine which of two causes stipulate for biphasic profile of a given experimental melting curve are obtained. Melting curves of DNA-basic oligopeptides complexes have been investigated. It is shown that the oligopeptides, when their chain length does not exceed 10, are able to migrate along DNA and biphasic shape of the melting curve is stipulated by the cooperative manner of their binding with DNA.     

The thermodynamics of calcium binding to thermolysin

Calcium binding isotherms were determined for thermolysin in the range pH 5.6-10.5, and from 5 to 45 degrees C. An extensive statistical analysis of the binding data suggests that at least two of the four binding sites bind Ca2+ with complete positive cooperativity and independently of the other two. Nonlinear regression analysis of the binding data was used to calculate cooperative (K1) and independent (K2) binding constants for the four calcium sites. Thermodynamic parameters obtained from a van't Hoff analysis indicate that calcium binding to both cooperative and independent sites is an entropy-driven process. At pH 7.0, delta H1 = 90.4 kJ/mol; delta H2 = 97.5 kJ/mol; delta S1 = 456 J K-1 mol-1; delta S2 = 262 J K-1 mol-1. These results are compared to those obtained for other calcium-binding proteins. An analysis of the pH dependence of the calcium binding constants indicates that the binding of four protons at the cooperative site and one to two protons at the independent sites, modulates the calcium affinity. This confirms an earlier structural assignment of the double-site as the locus of the two cooperatively binding Ca2+. Calcium binding to thermolysin is enhanced in the presence of an active site directed inhibitor, suggesting that there may be positive cooperativity between substrate and calcium binding.     

Determination of binding constants for cooperative site-specific protein-DNA interactions using the gel mobility-shift assay

We have investigated the question of whether the gel mobility-shift assay can provide data that are useful to the demonstration of cooperativity in the site-specific binding of proteins to DNA. Three common patterns of protein-DNA interaction were considered: (i) the cooperative binding of a protein to two sites (illustrated by the Escherichia coli Gal repressor); (ii) the cooperative binding of a bidentate protein to two sites (illustrated by the E. coli Lac repressor); and (iii) the cooperative binding of a protein to three sites (illustrated by the lambda cI repressor). A simple, rigorous, and easily extendable statistical mechanical approach to the derivation of the binding equations for the different patterns is presented. Both simulated and experimental data for each case are analyzed. The mobility-shift assay provides estimates of the macroscopic binding constants for each step of ligation based on its separation of liganded species by the number of ligands bound. Resolution of the binding constants depends on the precision with which the equilibrium distribution of liganded species is determined over the entire range of titration of each of the sites. However, the evaluation of cooperativity from the macroscopic binding constants is meaningful only for data that are also accurate. Some criteria that are useful in evaluating accuracy are introduced and illustrated. Resolution of cooperative effects is robust only for the simplest case, in which there are two identical protein binding sites. In this case, cooperative effects of up to 1,000-fold are precisely determined. For heterogeneous sites, cooperative effects of greater than 1,000-fold are resolvable, but weak cooperativity is masked by the heterogeneity. For three-site systems, only averaged pair-wise cooperative effects are resolvable.     

Binding interactions and conformational changes induced by sulfonated aluminum phthalocyanines in human serum albumin.

Phthalocyanines (Pc), which are extensively studied as tumor localizing photosensitizers for photodynamic therapy, are transported by the blood circulatory system to target tissues. Binding interactions between human serum albumin and differently sulfonated aluminum phthalocyanines (AlPcSn; n = 1-4) were studied using optical and ESR spectroscopy. AlPcSn (n = 1-3) occupy one strong binding site and eight weaker sites. The high affinity binding site interactions differ with respect to the degree of sulfonation and isomeric composition of the Pc. Phthalocyanines without SO-3 groups on adjacent iso-indole rings exhibit a high affinity binding site constant of K approximately 3-4 x 10(7) M-1, while Pc with two or three adjacent SO-3 groups show binding for this high affinity site that is no longer independent, but cooperative (alpha = 2), with K approximately 2-6 x 10(6) M-1. Binding isotherms for AlPcS4 and its close analog, tempoyl spin-labeled SL-AlPcS3, do not approach saturation at high ligand concentrations. Competition analyses between AlPcSn and spin-labeled fatty acids (5- and 16-doxyl stearate isomers) reveal that all compounds participate in cooperative (allosteric) interactions with the high affinity binding site of 16-DS, while extruding 5-DS isomer from certain sites and increasing the binding affinity for the remaining. Protein conformational dynamics was studied by ESR spectroscopy using covalent (alkylation of Cys34 residue) and noncovalent spin labeling (employing SL-AlPcS3). Phthalocyanines perturb conformational dynamics parameters (tauc and S) depending on the degree of sulfonation and isomeric composition corresponding to the type of sites, i.e., independent or cooperative, occupied on the HSA molecule.     

DNA-surfactant interactions: coupled cooperativity in ligand binding leads to duplex stabilization.

The cooperative nature of interaction of cationic surfactants with short oligonucleotides leading to eventual stabilization of DNA duplexes is demonstrated. At submicellar concentrations and DNA:surfactant charge ratios of 0.2 to 0.8, the association of single chain (CTAB) and double chain (DOTAP) surfactants to oligonucleotides is initiated by electrostatic interaction of cationic ligands with polyanionic DNA that aligns the surfactant molecules on the DNA template. This is followed by binding of new surfactant ligands to the initial complex, driven cooperatively by the hydrophobic forces, leading to in situ formation of surfactant-bound and bare duplexes as separate species. These exhibit independent melting behaviour characterised by double transition in thermal UV profiles, with a higher T(m) for surfactant-DNA complexes. Understanding the cooperative binding of the cationic surfactants to the DNA described here may have implications for rational design of DNA binding drugs and DNA delivery systems.     

Binding of ligands to a one-dimensional heterogeneous lattice. I. General model for the calculation of binding isotherms by a Monte Carlo approach

A Monte Carlo method is presented to calculate equilibria for the binding of ligands to one-dimensional heteropolymers. Equivalency with other methods suitable for particular cases was verified (i.e., matrix and combinatorial methods). The principal interest of this Monte Carlo method is in its facility for adaptation to any physically conceivable binding model and that it gives access to the parameters accounting for partial binding to each different type of site. General properties of binding isotherms with excluded-site effects and relations between partial binding ratios and partial free site ratios are discussed. An effective calculation is presented for illustration of the method.     

Kinetic mechanism of rat polymerase beta-dsDNA interactions. Fluorescence stopped-flow analysis of the cooperative ligand binding to a two-site one-dimensional lattice

Kinetics of cooperative binding of rat polymerase beta to a double-stranded DNA has been studied using the fluorescence stopped-flow techniques. The data have been analyzed by an approach developed to examine complete kinetics of cooperative large ligand binding to a one-dimensional lattice. The method is based on using the smallest possible system that preserves key ingredients of cooperative binding; i.e., at saturation, the lattice can accept only two ligand molecules. It allows the identification of collective amplitudes as well as amplitudes describing particular normal modes of the reaction. The mechanism of the intrinsic binding of pol beta to the dsDNA is different from the analogous mechanism for the ssDNA. The difference originates from different enzyme orientations in the corresponding complexes. Intrinsic binding to the dsDNA includes only two sequential steps: a very fast bimolecular association followed by an energetically favorable conformational transition of the complex. The transition following the bimolecular step does not facilitate the engagement of the enzyme in cooperative interactions. Its role seems to be reinforcing the affinity of the bimolecular step. Salt and magnesium cations affect both the bimolecular step and the conformational transition. As a result, the bimolecular step is less sensitive to the increased salt concentration, allowing the enzyme to preserve its initial dsDNA affinity. The changing character of cooperative interactions between bound enzyme molecules as a function of NaCl concentration and MgCl(2) concentration does not affect the binding mechanism. The engagement in cooperative interactions is approximately 3-4 orders of magnitude slower than the conformational transition of the DNA-bound polymerase. The importance of the obtained results for the pol beta activities is discussed.     

Cooperative interactions in the binding of ethidium ion to the self-complementary ribodinucleoside monophosphates CpG and GpC

Complexes exhibiting the characteristics of cooperative interactions are formed by ethidium ion and the self-complementary dinucleoside monophosphates CpG and GpC. Complex formation, observed with an ethidium ion selective electrode, can be described by an equilibrium binding model in which complexes are formed with dinucleoside:ethidium combining ratios of 2:1, 2:2, and 2:3. The total amount of ethidium bound in 2:2 and 2:3 complexes, as calculated from the model, is proportional to a circular dichroism band in CpG-ethidium spectra near 305 nm. Van't Hoff analysis of the model equilibrium constants reveals that the addition of ethidium ion to the 2:1 and 2:2 species is exothermic and that the corresponding entropy changes are large and negative. Cooperative interactions in the binding of ethidium ion and of other ligands to some natural and synthetic polymeric nucleic acids have now been observed in several laboratories, but the present work shows that the effect can arise even with nucleic acid fragments as small as dinucleosides. Apparently, a macromolecular nucleic acid is not essential for cooperative interactions.     

Cooperative effects during the binding of large ligands with DNA. Non-contact interaction between adsorbed ligands

Equations are derived to describe the cooperative binding of large ligands to DNA. A mathematical approach is developed which enables one to give a simple probabilistic interpretation of binding equations and to solve them in the general case when long-range interactions are allowed between bound ligands. These interactions can be mediated by conformation changes induced in the DNA in the course of binding process and transformed over some distances beyond the DNA region immediately covered by a bound ligand molecule (allosteric effect of DNA). Interactions between ligand molecules can be formally described in terms of model potential characterizing pairwise interactions between bound ligands. A procedure is developed which allows one to determined the form of such potential from experimentally measured binding isotherms. It is based on a comparison of experimental binding isotherms with the appropriate curves calculated for the case of non-interacting ligands.     

Ligand competition curves as a diagnostic tool for delineating the nature of site-site interactions: theory

A few molecular models have been developed in recent years to explain the mechanism of cooperative ligand binding. The concerted model of Monod, Wyman and Changeux and the sequential model of Koshland, Némethy and Filmer were formulated to account for positively cooperative binding. The pre-existent asymmetry model and the sequential model can account for negatively cooperative ligand binding. In most cases, however, it is virtually impossible to deduce the molecular mechanism of ligand binding solely from the shape of the binding isotherm. In the present study we suggest a new strategy for delineating the molecular mechanism responsible for cooperative ligand binding from binding isotherms. In this approach one examines the effect of one ligand on the cooperativity observed in the binding of another ligand, where the two ligands compete for the same set of binding sites. It is demonstrated that the cooperativity of ligand binding can be modulated when a competitive ligand is present in the protein-ligand binding mixture. A general mathematical formulation of this modulation is presented in thermodynamic terms, using model-independent parameters. The relation between the Hill coefficient at 50% ligand saturation with respect to ligand X in the absence, h(x), and in the presence of a competing ligand Z, h(x,z), is expressed in terms of the thermodynamic parameters characterizing the binding of the two ligands. Then the relationship between h(x) and h(x,z), in terms of the molecular parameters of the different allosteric models, is explored. This analysis reveals that the different allosteric models predict different relationships between h(x,z) and h(x). These differences are especially focused when Z binds non-cooperatively. Thus, it becomes possible, on the basis of ligand binding experiments alone, to decide which of the allosteric models best fits a set of experimental data.     

Binding of human blood-coagulation Factors IXa and X to phospholipid membranes.

A simple centrifugation technique has been developed to study the interaction of human coagulation Factors IXa and X with phospholipid membranes. In the presence of Ca2+, equimolar phosphatidylserine/phosphatidylcholine membranes form tight complexes with Factor X (KD = 2.8 X 10(-8) M); the KD is independent of the phospholipid concentration. Binding sites are available for about 2 mmol of Factor X/mol of phospholipid. Factor IXa has a slightly higher affinity for the phospholipid membrane (KD = 1.2 X 10(-8)M), and competes with Factor X for binding. The experimentally observed competition between Factor X and Factor IXa is in agreement with a model that describes the binding of two distinct ligands to a single class of independent binding sites.     

Cooperativity in Binding Processes: New Insights from Phenomenological Modeling

Cooperative binding is one of the most interesting and not fully understood phenomena involved in control and regulation of biological processes. Here we analyze the simplest phenomenological model that can account for cooperativity (i.e. ligand binding to a macromolecule with two binding sites) by generating equilibrium binding isotherms from deterministically simulated binding time courses. We show that the Hill coefficients determined for cooperative binding, provide a good measure of the Gibbs free energy of interaction among binding sites, and that their values are independent of the free energy of association for empty sites. We also conclude that although negative cooperativity and different classes of binding sites cannot be distinguished at equilibrium, they can be kinetically differentiated. This feature highlights the usefulness of pre-equilibrium time-resolved strategies to explore binding models as a key complement of equilibrium experiments. Furthermore, our analysis shows that under conditions of strong negative cooperativity, the existence of some binding sites can be overlooked, and experiments at very high ligand concentrations can be a valuable tool to unmask such sites.