The mechanism of ligand binding coupled to conformational changes in macromolecules has recently attracted considerable interest. The 2 limiting cases are the ''induced fit'' mechanism (binding first) or ''conformational selection'' (conformational change first). Described here are the criteria by which the sequence of events can be determined quantitatively. The relative importance of the 2 pathways is determined not by comparing rate constants (a common misconception) but instead by comparing the flux through each pathway. The simple rules for calculating flux in multistep mechanisms are described and then applied to 2 examples from the literature, neither of which has previously been analyzed using the concept of flux. The first example is the mechanism of conformational change in the binding of NADPH to dihydrofolate reductase. The second example is the mechanism of flavodoxin folding coupled to binding of its cofactor, flavin mononucleotide. In both cases, the mechanism switches from being dominated by the conformational selection pathway at low ligand concentration to induced fit at high ligand concentration. Over a wide range of conditions, a significant fraction of the flux occurs through both pathways. Such a mixed mechanism likely will be discovered for many cases of coupled conformational change and ligand binding when kinetic data are analyzed by using a fluxbased approach.kinetics ͉ binding ͉ folding ͉ coupled equilibria ͉ mechanism T he binding of ligands by macromolecules is crucial to a multitude of physiological processes. These include the cascade of reactions accompanying hormone binding to receptors (1, 2), enzyme reactions initiated by the binding of substrates to the enzyme (3, 4), gene regulation by the binding of molecules to DNA (5) and RNA (6), and the folding of unstructured proteins to produce biologically active molecules (7,8). In virtually all cases, the binding of ligands and conformational changes go hand in hand. Consequently, considerable effort has been expended in assessing the detailed mechanism by which ligand binding and conformational changes are coupled (3,4,9). Two limiting mechanisms are generally considered: (i) ''conformational selection,'' whereby the ligand selectively binds to a form of the macromolecule that is present only in small amounts, eventually converting the macromolecule to the ligand-bound conformation; and (ii) ''induced fit,'' (9) whereby ligand binds to the predominant free conformation followed by a conformational change in the macromolecule to give the preferred ligandbound conformation.The 2 limiting mechanisms can be written as:Conformational Selection: P weak º P tightInduced Fit: P weak ϩ L º P weak ⅐LIn these equations, P weak and P tight represent the tightly and weakly binding conformations of the protein (or other macromolecule), and L is the ligand. In point of fact, these 2 limiting mechanisms can be distinguished by kinetic measurements of the rate of the conformational change. In the simplest case, which often prevails, the ligand-bind...

Understanding the molecular mechanisms of enzyme catalysis and allosteric regulation has been a primary goal of biochemistry for many years. The dynamics of these processes, approached through a variety of kinetic methods, are discussed. The results obtained for many different enzymes suggest that multiple intermediates and conformations are general characteristics of the catalytic process and allosteric regulation. Ribonuclease, dihydrofolate reductase, chymotrypsin, aspartate aminotransferase, and aspartate transcarbamoylase are considered as specific examples. Typical and maximum rates of conformational changes and catalysis are also discussed, based on results obtained from model systems. The nature and rates of interconversion of the intermediates, along with structural information, can be used as the bases for understanding the incredible catalytic efficiency of enzymes. Potential roles of conformational changes in the catalytic process are discussed in terms of static and environmental effects, and in terms of dynamic coupling within the enzyme-substrate complex.

This brief review discusses our current understanding of the molecular basis of enzyme catalysis. A historical development is presented, beginning with steady state kinetics and progressing through modern fast reaction methods, NMR, and single molecule fluorescence techniques. Experimental results are summarized for ribonuclease, aspartate aminotransferase, and especially dihydrofolate reductase (DHFR). Multiple intermediates, multiple conformations, and cooperative conformational changes are shown to be an essential part of virtually all enzyme mechanisms. In the case of DHFR, theoretical investigations have provided detailed information about the movement of atoms within the enzyme-substrate complex as the reaction proceeds along the collective reaction coordinate for hydride transfer. A general mechanism is presented for enzyme catalysis that includes multiple intermediates and a complex, multidimensional standard free energy surface. Protein flexibility, diverse protein conformations, and cooperative conformational changes are important features of this model.

The concept is developed that enzyme mechanisms should be viewed as "catalytic networks" with multiple conformations that occur serially and in parallel in the mechanism. These coupled ensembles of conformations require a multi-dimensional standard free-energy surface that is very "rugged", containing multiple minima and transition states. Experimental and theoretical evidence is presented to support this concept.

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The thermodynamics and kinetics of the interaction of dihydrofolate reductase (DHFR) with methotrexate have been studied by using fluorescence, stopped-flow, and single-molecule methods. DHFR was modified to permit the covalent addition of a fluorescent molecule, Alexa 488, and a biotin at the N terminus of the molecule. The fluorescent molecule was placed on a protein loop that closes over methotrexate when binding occurs, thus causing a quenching of the fluorescence. The biotin was used to attach the enzyme in an active form to a glass surface for single-molecule studies. The equilibrium dissociation constant for the binding of methotrexate to the enzyme is 9.5 nM. The stopped-flow studies revealed that methotrexate binds to two different conformations of the enzyme, and the association and dissociation rate constants were determined. The single-molecule investigation revealed a conformational change in the enzyme-methotrexate complex that was not observed in the stopped-flow studies. The ensemble averaged rate constants for this conformation change in both directions is about 2-4 s ؊1 and is attributed to the opening and closing of the enzyme loop over the bound methotrexate. Thus the mechanism of methotrexate binding to DHFR involves multiple steps and protein conformational changes.enzyme mechanisms ͉ protein dynamics ͉ fluorescence microscopy

The solubilized coupling factor from spinach chloroplasts (CF1) contains one nondissociable ADP/CF1 which exchanges slowly with medium ADP in the presence of Ca2+, Mg2+, or EDTA; medium ATP also exchanges in the presence of Ca2+ or EDTA, but it is hydrolyzed, and only ADP is found bound to CF1. The rate of ATP exchange with heat-activated CF1 is approximately 1000 times slower than the rate of ATP hydrolysis. In the presence of Mg2+, both latent CF1 and heat-activated CF1 bind one ATP/CF1, in addition to the ADP. This MgATP is not removed by dialysis, by gel filtration, or by the substrate CaATP during catalytic turnover; however, it is released when the enzyme is stored several days as an ammonium sulfate precipitate. The photoaffinity label 3'-O-[3-[N-(4-azido-2-nitrophenyl)amino]-propionyl]-ATP binds to the MgATP site, and photolysis results in labeling of the beta subunit of CF1. Equilibrium binding measurements indicate that CF1 has two identical binding sites for ADP with a dissociation constant of 3.9 microM (in addition to the nondissociable ADP site). When MgATP is bound to CF1, one ADP binding site with a dissociation constant of 2.9 microM is found. One ATP binding site is found in addition to the MgATP site with a dissociation constant of 2.9 microM. Reaction of CF1 with the photoaffinity label 3'-O-[3-[N-(4-azido-2-nitrophenyl)amino]propionyl]-ADP indicates that the ADP binding site which is not blocked by MgATP is located near the interface of alpha and beta subunits. No additional binding sites with dissociation constants less than 200 micro M are observed for MgATP with latent CF1 and for CaADP with heat-activated CF1. Thus, three distinct nucleotide binding sites can be identified on CF1, and the tightly bound ADP and MgATP are not at the catalytic site. The active site is either the third ADP and ATP binding site or a site not yet detected.

Ensemble kinetics and single-molecule fluorescence microscopy were used to study conformational transitions associated with enzyme catalysis by dihydrofolate reductase (DHFR). The active site loop of DHFR was labeled with a fluorescence quencher, QSY35, at amino acid position 17, and the fluorescent probe, Alexa555, at amino acid 37, by introducing cysteines at these sites with site-specific mutagenesis. The distance between the probes was such that approximately 50% fluorescence resonance energy transfer (FRET) occurred. The double-labeled enzyme retained essentially full catalytic activity, and stopped-flow studies of both the forward and reverse reactions revealed that the distance between probes increased prior to hydride transfer. A fluctuation in fluorescence intensity of single molecules of DHFR was observed in an equilibrium mixture of substrates but not in their absence. Ensemble rate constants were derived from the distributions of lifetimes observed and attributed to a reversible conformational change. Studies were carried out with both NADPH and NADPD as substrates, with no measurable isotope effect. Similar studies with a G121V mutant DHFR resulted in smaller rate constants. This mutant DHFR has reduced catalytic activity, so that the collective data for the conformational change suggest that the conformational change being observed is associated with catalysis and probably represents a conformational change prior to hydride transfer. If the change in fluorescence is attributed to a change in FRET, the distance change associated with the conformational change is approximately 1-2 A. These results are correlated with other measurements related to conformation coupled catalysis.