Influence of ligand valency on ligand-influenced monomer-dimer equilibrium systems and biological control mechanisms

Two specific ligand-influenced monomer-dimer equilibrium systems are discussed. Each has a ligand-to-dimer subunit ratio of 0.5. Equilibrium characteristics of the system are described in terms of the effect of a bivalent ligand on both experimental and theoretical analysis. It is shown that Hill expressions need to be modified for multivalent ligand systems, and care is needed in equilibrium parameter determination. Some unique properties of these systems are retained, yet others are altered in the presence of a multivalent ligand. A suggestion as to the minimum amount of information needed to describe completely a ligand-influenced monomerdimer system is given. The estrogen-receptor system is presented as an attractive biological model for both theoretical and experimental study of ligand-influenced polymerizing systems and their role in cellular control requirements.     

Thermostable and alkalophilic maltogenic amylase of Bacillus thermoalkalophilus ET2 in monomer-dimer equilibrium

A gene encoding a thermostable and alkalophilic maltogenic amylase (BTMA) was cloned from the thermophilic bacterium Bacillus thermoalkalophilus ET2. BTMA was composed of 588 amino acids with a predicted molecular mass of 68.8 kDa. The enzyme had an optimal temperature and pH of 70°C and 8, respectively, the highest among maltogenic amylases reported so far. The Tm of BTMA at pH 8 was 76.7°C with an enthalpy of 113.6 kJ mol^-1. Both hydrolysis and transglycosylation activities for various carbohydrates were evident. β-Cyclodextrin (β-CD) and soluble starch were hydrolyzed mainly to maltose, and pullulan to panose. Acarbose, a strong amylase inhibitor, was hydrolyzed by BTMA to glucose and acarviosine-glucose. The K _m and k _cat values of BTMA for β-CD hydrolysis were 0.128 mM and 165.8 s^-1 mM, respectively. The overall catalytic efficiency (k _cat/K _m) of the enzyme was highest toward β-CD. BTMA was present in a monomer-dimer equilibrium with a molar ratio of 54:46 in 50 mM glycine-NaOH buffer (pH 8.0). This equilibrium could be affected by KCl and enzyme concentrations. The multi-substrate specificity of the enzyme was modulated by the structural differences between monomeric and dimeric forms. Starch was hydrolyzed more readily when monomeric BTMA was prevalent, while the opposite was observed for β-CD.     

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.     

Order changes within receptor systems upon ligand binding: receptor tightening/oligomerisation and the interpretation of binding parameters

Recent hydrogen-deuterium exchange experiments have highlighted tightening and loosening of protein structures upon ligand binding, with changes in bonding (DeltaH) and order (DeltaS) which contribute to the overall thermodynamics of ligand binding. Tightening and loosening show that ligand binding respectively stabilises or destabilises the internal structure of the protein, i.e. it shows positive or negative cooperativity between ligand binding and the receptor structure. In the case of membrane-bound receptors, such as G protein-coupled receptors (GPCRs) and ligand gated ion channel receptors (LGICRs), most binding studies have focussed on association/dissociation constants. Where these have been broken down into enthalpic and entropic contributions, the phenomenon of "thermodynamic discrimination" between antagonists and agonists has often been noted; e.g. for a receptor where agonist binding is predominantly enthalpy driven, antagonist binding is predominantly entropy driven and vice versa. These data have not previously been considered in terms of the tightening, or loosening, of receptor structures that respectively occurs upon positively, or negatively, cooperative binding of ligand. Nor have they been considered in light of the homo- and hetero-oligomerisation of GPCRs and the possibility of ligand-induced changes in oligomerisation. Here, we argue that analysis of the DeltaH and DeltaS of ligand binding may give useful information on ligand-induced changes in membrane-bound receptor oligomers, relevant to the differing effects of agonists and antagonists.     

The binding of an indefinitely associating ligand to acceptor: consideration of monovalent ligand species binding to a multivalent acceptor

Currently available binding theory is extended to incorporate the concept of indefinite self-association of the ligand. Binding equations are formulated in closed form for the case of the binding to a multivalent acceptor of a ligand capable of isodesmically indefinitely self-associating in a "head-to-tail" mode such that each ligand state bears one site capable of interacting with the acceptor. It is shown both mathematically and by way of numerical example that this system will give rise exclusively to binding curves convex to the r-axis in Scatchard format. Thus, the system provides another example of a binding mechanism capable of generating an apparent negatively co-operative binding response.     

Nonequivalence of transketolase active centers with respect to acceptor substrate binding

The interaction of transketolase with its acceptor substrate, ribose 5-phosphate, has been studied. The active centers of the enzyme were shown to be functionally nonequivalent with respect to ribose 5-phosphate binding. Under the conditions where only one out of the two active centers of transketolase is functional, their affinities for ribose 5-phosphate are identical. The phenomenon of nonequivalence becomes apparent when the substrate interacts with one of the two active centers. As a consequence of such interaction, the affinity of the second active center for ribose 5-phosphate decreases.     

Identification of a tertiary interaction important for cooperative ligand binding by the glycine riboswitch

The glycine riboswitch has a tandem dual aptamer configuration, where each aptamer is a separate ligand-binding domain, but the aptamers function together to bind glycine cooperatively. We sought to understand the molecular basis of glycine riboswitch cooperativity by comparing sites of tertiary contacts in a series of cooperative and noncooperative glycine riboswitch mutants using hydroxyl radical footprinting, in-line probing, and native gel-shift studies. The results illustrate the importance of a direct or indirect interaction between the P3b hairpin of aptamer 2 and the P1 helix of aptamer 1 in cooperative glycine binding. Furthermore, our data support a model in which glycine binding is sequential; where the binding of glycine to the second aptamer allows tertiary interactions to be made that facilitate binding of a second glycine molecule to the first aptamer. These results provide insight into cooperative ligand binding in RNA macromolecules.     

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.     

Negative cooperativity may explain flat concentration-response curves of ATP-sensitive potassium channels

Blockage of ATP-sensitive K⁺ channels by various drugs has been reported to exhibit a weak concentration dependence with Hill coefficients below unity. This phenomenon is interpreted by a negative cooperativity between K⁺ channels whereby drug binding to one channel lowers the drug affinities of neighbouring channels. Results are presented for a dimeric and a tetrameric channel model and compared with published experimental data. Correspondence to: S. Hehl     

Rescue of ligand binding of a mutant IGF-I receptor by complementation

The IGF-I receptor binds IGF-I with complex kinetics characterized by a curvilinear Scatchard plot, suggesting receptor heterogeneity and apparent negative cooperativity. To explore the molecular mechanisms underlying these properties, we have characterized the binding of a hybrid receptor formed from a wild-type receptor monomer and a mutant receptor monomer devoid of binding activity. Receptor hybrids were generated by transient co-transfection of cDNAs encoding wild-type and mutant receptors with unique epitope tags. Hybrid receptors were purified from transfected cells by sequential immuno-affinity chromatography and their ligand-binding properties were determined. Complementation produced a hybrid with near wild-type affinity. Dissociation studies demonstrated that the hybrid did not exhibit negative cooperativity.     

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.     

Cooperativity in Scapharca dimeric hemoglobin: simulation of binding intermediates and elucidation of the role of interfacial water

Cooperative binding of ligands to proteins can serve to increase their efficiency and to regulate their activity. Thus, understanding of the mechanism of cooperativity is one of the central concerns of molecular biology. For the tetrameric human hemoglobin (HbA), the cooperative mechanism involves a reasonably well understood combination of tertiary and quaternary changes that occur during the binding process. The dimeric hemoglobin of Scapharca (HbI), which is composed of subunits with the same fold as in HbA, is also highly cooperative but the structural changes on ligand binding are small. A re-orientation of Phe97 in the binding pocket and changes in the number of interfacial water molecules have been implicated in the cooperative mechanism. To explore the role of these factors, we have investigated models of partially liganded intermediate states of HbI with molecular dynamics simulation methods. Since, unlike HbA, no structures for intermediates are available, they were constructed by combining subunits from the unliganded and liganded dimers. Two structurally distinct intermediates were examined, and it was shown that the transition between the two intermediates is directly coupled to the number of interfacial water molecules. Further, it was found that there is a well-defined water channel that connects the interface between the subunits to bulk water. The bottleneck (gate) of the channel, which can be open or closed, is made of hydrophilic residues. The implication of the present results for the cooperative mechanism of HbI is discussed.     

Equilibrium analysis of allosteric interactions shows zero-order effects

The binding of effector to an allosteric protein exhibits a non-Michaelis-Menten behavior, resulting in either ultrasensitive or subsensitive response. In the present work, a modular approach has been developed to determine the response curve for allosteric systems at higher concentration of allosteric enzyme than that of effector (zero-order sensitivity, as observed in enzyme cascades) by equilibrium analysis. The analysis shows that, in an allosteric system, the zero-order effect can make the response ultrasensitive or subsensitive with respect to the enzyme concentration. The response is dependent on the number of binding sites, cooperativity, and the total effector concentration. The framework was further applied to a well studied allosteric protein, the Escherichia coli aspartate transcarbamoylase. The predictions are found to be consistent with the reported experimental data.     

Cooperativity and effects of ionic strength on the binding of sodium n-dodecyl sulphate to lysozyme

The binding of sodium n-dodecyl sulphate to lysozyme has been measured by equilibrium dialysis at 25°C and pH 3.2 over a range of ionic strengts from 0.0119 to 0.2119. Binding isotherms in the region corresponding to ionic binding between the surfactant anions and cationic amino acid residues on the protein have been interpreted in terms of the Hill equation and exhibit positive cooperativity with Hill coefficients in the region of 7–11. The Gibbs energies of binding have been calculated from the Hill binding constants and from the Wyman binding potentials. The stability of the surfactant-protein complexes is discussed in relation to the stability of surfactant micelles. Ionic binding of the surfactant is weakened and hydrophobic binding strengthened by increasing ionic strength.     

Effects of ligand binding upon flexibility of proteins

Binding of a ligand on a protein changes the flexibility of certain parts of the protein, which directly affects its function. These changes are not the same at each point, some parts become more flexible and some others become stiffer. Here, an equation is derived that gives the stiffness map for proteins. The model is based on correlations of fluctuations of pairs of points in proteins, which may be evaluated at different levels of refinement, ranging from all atom molecular dynamics to general elastic network models, including the simplest case of isotropic Gaussian Network Model. The latter is used, as an example, to evaluate the changes of stiffness upon dimerization of ACK1. Proteins 2015; 83:805–808. © 2015 Wiley Periodicals, Inc.     

Cooperativity in the calcium ion-induced quenching of the intrinsic fluorescence of a series of normal and GLA-deficient bovine prothrombin fragment 1 molecules

Ca²⁺ titrations of the intrinsic fluorescence of a series of -carboxyglutamic acid (GLA)-deficient bovine prothrombin fragments 1 yield response Hill plot parameters useful for characterization of the metal ion-binding process. 11-, 10-, and 9-GLA fragments 1 exhibitT _m (the (Ca²⁺)_total concentration at which ln (B/F)=0 in the response Hill plot) values between 0.2 and 0.3 mM. A 22-fold increase inT _m to 5.4 mM is observed for 8-GLA fragment 1.T _m decreases to 3.8 mM for the 7- and 6-GLA proteins. The value ofh, about 2.8±0.2 for 11-, 10-, and 9-GLA fragments 1, abruptly decreases to 1.2–1.3 for 8-, 7-, and 6-GLA fragments 1. The observed degree of quenching induced by saturating levels of calcium ions is affected by both changes in the intrinsic fluorescence of the metal ion-free proteins and in the maximum possible degree of quenching in the presence of calcium. The kinetic characteristics of the calcium ion-induced quenching of the intrinsic fluorescence of 6-GLA fragment 1 are identical to those observed in 10-GLA fragment 1, suggesting that the fluorescence quenching observed in the 6- and 10-GLA fragments 1, while different in magnitude, involves similar processes. Observation of an abrupt change in the relative electrophoretic mobilities of 11- to 9-GLA fragments 1 compared to 8- to 6-GLA fragments 1, in the absence or presence of Ca²⁺, suggests the existence of a major protein conformation change which occurs concomitantly with the noted changes inT _m andh response Hill plot parameters. Molecular mechanics calculations suggest a structural hypothesis unifying these observations. Central to this model is the presumption of the existence of hydrogen bond-mediated interactions between metal ion-binding sites.