Signal and binding. II. Converting physico-chemical responses to macromolecule-ligand interactions into thermodynamic binding isotherms.
Physico-chemical titration techniques are the most commonly used methods in characterizing molecular interactions. These methods are mainly based on spectroscopic, calorimetric, hydrodynamic, etc., measurements. However, truly quantitative physico-chemical methods are absolutely based on the determination of the relationship between the measured signal and the total average degree of binding in order to obtain meaningful interaction parameters. The relationship between the observed physico-chemical signal of whatever nature and the degree of binding must be determined and not assumed, based on some ad hoc intuitive relationship/model, leading to determination of the true binding isotherm. The quantitative methods reviewed and discussed here allow an experimenter to rigorously determine the degree of binding and the free ligand concentration, i.e., they lead to the construction of the thermodynamic binding isotherm in a model-independent fashion from physico-chemical titration curves.
Complex of Escherichia coli primary replicative helicase DnaB protein with a replication fork: recognition and structure.
Interactions of the Escherichia coli replicative helicase DnaB protein, with DNA replication fork substrates, have been studied using rigorous fluorescence titration, fluorescence energy transfer, and analytical ultracentrifugation methods. DnaB binds the 5' single-arm fork, the 3' single-arm fork, and the two-arm fork with stoichiometries of 1, 1, and 2 DnaB hexamers per fork, independent of the length of the duplex part of the fork. Within the structurally heterogeneous binding site, the helicase accesses most of the 20 nucleotide residues of an arm. The dsDNA of the fork does not contribute to the affinity; however, it affects the positioning of the enzyme on the 5' or 3' arm. Fluorescence energy transfer experiments provide direct evidence that the DnaB helicase binds the 5' arm of the fork in a single orientation, with respect to the duplex part of the fork. The 33-kDa domains of the hexamer face the dsDNA, while the small 12-kDa domains face the 5' end of the arm. In the complex with the 3' arm, the helicase is bound in an opposite orientation when compared to the 5' arm. This is the first determination of the strict, single orientation of a helicase in the complex with a replication fork. The 3' arm accommodates a DnaB hexamer, while another hexamer is associated with the 5' arm. The complex of two DnaB hexamers bound in opposite orientations with each arm of the fork may play an important role during bidirectional replication of the E. coli DNA.
Kinetics of allosteric conformational transition of a macromolecule prior to ligand binding
Two fundamentally different mechanisms of ligand binding are commonly encountered in biological kinetics. One mechanism is a sequential multistep reaction in which the bimolecular binding step is followed by first-order steps. The other mechanism includes the conformational transition of the macromolecule, before the ligand binding, followed, by the ligand binding process to one of the conformational states. In stopped-flow kinetic studies, the reaction mechanism is established by examining the behavior of relaxation times and amplitudes as a function of the reactant concentrations. A major diagnostic tool for detecting the presence of a conformational equilibrium of the macromolecule, before the ligand binding, is the decreasing value of one of the reciprocal relaxation times with the increasing [ligand]. The sequential mechanism cannot generate this behavior for any of the relaxation times. Such dependence is intuitively understood on the basis of approximate expressions for the relaxation times that can be comprehensively derived, using the characteristic equation of the coefficient matrix and polynomial theory. Generally, however, the used approximations may not be fulfilled. On the other hand, the two kinetic mechanisms can always be distinguished, using the approach based on the combined application of pseudo-first-order conditions, with respect to the ligand and the macromolecule. The two experimental conditions differ profoundly in the extent of the effect of the ligand on the protein conformational equilibrium. In a large excess of the ligand, the conformational equilibrium of the macromolecule, before the ligand binding, is strongly affected by the binding process. However, in a large excess of the macromolecule, ligand binding does not perturb the internal equilibrium of the macromolecule. As a result, the normal mode, affected by the conformational transition, is absent in the observed relaxation process. In the case of a sequential mechanism, the number of relaxation times is not altered by different pseudo-first-order conditions. Thus, the approach provides a strong diagnostic criterion for detecting the presence of the conformational transition of the macromolecule and establishing the correct mechanism. Application of this approach is illustrated for the binding of 3′-O-(N-methylantraniloyl)-5′-diphosphate to the E. coli DnaC protein.