Kinetic cooperativity in the concerted model for allosteric enzymes.

The cooperativity of enzyme-substrate interactions is investigated in the concerted allosteric model of Monod, Wyman and Changeux. The general case of K-V systems is considered, in which the two protomer conformational states R and T postulated in the theory differ in catalytic and binding properties. An expression for the Hill coefficient nH defined with respect to the asymptotic velocity V infinity to is analyzed in conditions which exclude substrate inhibition. Kinetic cooperativity is always positive (nH greater than 1) in the case of a dimer enzyme, and in the case of an inactive T state. Slight kinetic negative cooperativity (nH less than 1) occurs under restrictive conditions for larger numbers of protomers when the substrate binds significantly to the less active state of the enzyme, but the phenomenon remains negligible for trimers and tetramers. These conclusions differ from those obtained [A. Goldbeter, J. Mol.Biol.90 (1974) 185] with the Hill coefficient based on the absolute maximum velocity, which may exceed the experimental value V infinity to in K-V systems. The results extend those of Paulus and DeRiel [J. Mol. Biol. 97 (1975) 667] and support the view that in most cases, negative cooperativity is not compatible with a mechanism based on a concerted and conservative allosteric transition. The Hill coefficients for binding and catalysis are compared in K-V systems.     

Allosteric effectors do not alter the oxygen affinity of hemoglobin crystals.

In solution, the oxygen affinity of hemoglobin in the T quaternary structure is decreased in the presence of allosteric effectors such as protons and organic phosphates. To explain these effects, as well as the absence of the Bohr effect and the lower oxygen affinity of T-state hemoglobin in the crystal compared to solution, Rivetti C et al. (1993a, Biochemistry 32:2888-2906) suggested that there are high- and low-affinity subunit conformations of T, associated with broken and unbroken intersubunit salt bridges. In this model, the crystal of T-state hemoglobin has the lowest possible oxygen affinity because the salt bridges remain intact upon oxygenation. Binding of allosteric effectors in the crystal should therefore not influence the oxygen affinity. To test this hypothesis, we used polarized absorption spectroscopy to measure oxygen binding curves of single crystals of hemoglobin in the T quaternary structure in the presence of the "strong" allosteric effectors, inositol hexaphosphate and bezafibrate. In solution, these effectors reduce the oxygen affinity of the T state by 10-30-fold. We find no change in affinity (< 10%) of the crystal. The crystal binding curve, moreover, is noncooperative, which is consistent with the essential feature of the two-state allosteric model of Monod J, Wyman J, and Changeux JP (1965, J Mol Biol 12:88-118) that cooperative binding requires a change in quaternary structure. Noncooperative binding by the crystal is not caused by cooperative interactions being masked by fortuitous compensation from a difference in the affinity of the alpha and beta subunits. This was shown by calculating the separate alpha and beta subunit binding curves from the two sets of polarized optical spectra using geometric factors from the X-ray structures of deoxygenated and fully oxygenated T-state molecules determined by Paoli M et al. (1996, J Mol Biol 256:775-792).     

Kinetics of ligand binding and quaternary conformational change in the homodimeric hemoglobin from Scapharca inaequivalvis

The kinetics of the reaction with oxygen and carbon monoxide of the homodimeric hemoglobin from the bivalve mollusc Scapharca inaequivalvis has been extensively investigated by flash and dye-laser photolysis, temperature jump relaxation, and stopped flow methods. The results indicate that cooperativity in ligand binding, already observed for oxygen at equilibrium, finds its kinetic counterpart in a large decrease of the oxygen dissociation velocity in the second step of the binding reaction. In the case of carbon monoxide, cooperativity is clearly evident in the increase of the combination velocity constant as the reaction proceeds. Therefore, the ligand-binding kinetics of this dimeric hemoglobin shows the characteristic features of the corresponding reactions of tetrameric hemoglobins. Analysis of the data in terms of the allosteric model proposed by Monod et al. (Monod, J., Wyman, J., and Changeux, J. P. (1965) J. Mol. Biol. 12, 88-118) has shown that the values of the allosteric parameters cannot be fixed uniquely for a dimeric hemoglobin. The rapid changes in absorbance observed at the isosbestic points of unliganded and liganded hemoglobin following laser photolysis provided a value of 7 X 10(4) S-1 at 20 degrees C for the rate of the ligand-free quarternary conformational change, postulated on the basis of cooperative ligand binding. Comparison of the rapid absorbance changes observed during ligand rebinding in this hemoglobin with those observed in tuna hemoglobin indicate that, at full photolysis, binding to the T state is followed by further binding and conversion to the liganded R state; at partial photolysis, population of the liganded T state occurs immediately and is followed by a decay to the liganded R state upon further ligand binding. These new results, in conjunction with previous equilibrium data on the same system, show unequivocally that the presence of two different types of chain is not an absolute prerequisite for cooperativity in hemoglobins, contrary to currently accepted ideas.     

Allosteric formulation of thermal transitions in macromolecules, including effects of ligand binding and oligomerization

We examine the effects of concentration (aggregation), buffers, and ligation, under conditions of either constant ligand activity or limited total amount of ligand, upon thermal denaturation of macromolecules as measured by scanning calorimetry. In doing so we utilize and extend an earlier generalized allosteric treatment [S. J. Gill, B. Richey, G. Bishop, and J. Wyman (1985) Biophys. Chem. 21, 1-14], applicable to ligand binding, enthalpy changes, and volume changes in a macromolecular system. The approach is contrasted with formulations based on the idea of structural domains. We show how information from the full scanning calorimetric curves can be utilized in arriving at and testing appropriate models for observed behavior in selected examples.     

Effects of primary sequence differences on the global structure and function of an enzyme: a study of pyruvate kinase isozymes

Pyruvate kinase is an important glycolytic enzyme which is expressed differentially as four distinct isozymes whose catalytic activity is regulated in a tissue-specific manner. The kidney isozyme is known to exhibit sigmoidal kinetics, whereas the muscle isozyme exhibits hyperbolic kinetic properties. By integration of the crystallographic [Stuart, D. I., Levine, M., Muirhead, H., & Stammers, D.K. (1979) J. Mol. Biol. 134, 109-142] and primary sequence data [Noguchi, T., Inoue, H., & Tanaka, T. (1986) J. Biol. Chem. 261, 13807], it was shown that the primary sequence for the C alpha 1 and C alpha 2 regions may constitute the allosteric switching site. To provide insights into the effects of the localized sequence change on the global structural and functional behavior of the enzyme, kinetic studies under a wide spectrum of conditions were conducted for both the muscle and kidney isozymes. These conditions include measurements of enzyme activity as a function of substrate concentrations with different concentrations of allosteric inhibitors or activators. These results showed that both isozymes exhibit the same regulatory properties although quantitatively the distribution of active and inactive forms and the various dissociation constants which govern the binding of substrate and allosteric effectors with the enzyme are different. For such a majority of equilibrium constants to be altered, the localized primary sequence change must confer global perturbations which are manifested as differences in the various equilibrium constants. Structural information about these two isozymes was provided by phase-modulation measurement of the fluorescence lifetime of tryptophan residues under a variety of experimental conditions.(ABSTRACT TRUNCATED AT 250 WORDS)     

The relation between carbon monoxide binding and the conformational change of hemoglobin.

The spectral difference between normal and rapidly reacting deoxyhemoglobin (Sawicki and Gibson (1976), J. Biol Chem. 251:1533-1542) is used to study the relationship between CO binding to hemoglobin and the conformational changes to the rapidly reacting form in a combined flow-laser flash experiment. In both pH 7 phosphate buffer and pH 7 bis(2-hydroxy-ethyl)imino-tris (hydroxymethyl)methane buffer (bis-Tris) with 500 muM 2,3-diphosphoglycerate (DPG), the conformational change lags far behind CO binding; rapidly reacting hemoglobin is not observed until more than 10% of the hemoglobin is liganded. In pH 9 borate buffer the formation of rapidly reacting hemoglobin leads CO binding by a significant amount. A simple two-state allosteric model (Monod et. al. (1965), J. Mol. Biol. 12:88-118) which assumed equivalence of the hemoglobin subunits in their reaction with CO was used to simulate the experimental results. In terms of the model, the conformational change lead observed at pH 9 suggests that significant conformational change has occurred after binding of only one CO molecule per tetramer. In the presence of phosphates good agreement between experimental results and simulations is obtained using parameter values suggested by previous experimental studies. The simulations suggest that the conformational change occurs after binding of three CO molecules.     

Calorimetric determination of linkage effects involving an acyl-enzyme intermediate

Enthalpy changes of alpha-chymotrypsin acylation by 3-(2-furyl)acryloylimidazole (FAI) were calorimetrically determined as a function of pH. By observing the functional dependence of acylation enthalpies on buffer ionization heats, a complex pH profile was obtained describing proton release accompanying formation of acyl-enzyme. A pKa of 4.0 for FAI ionization and apparent pKa values of 6.8, 7.55 and 8.8 on the enzyme were used to account for the proton release data. A model which accounts for the proton release behavior was used to fit the acylation enthalpy data and values for the apparent dissociation enthalpies of the groups involved were obtained along with a pH-independent intrinsic enthalpy of acylation. This model suggests a group with an apparent pK = 6.8 and delta Hion = 8.7 kcal/mol which is perturbed to a pK of 7.55 and delta Hion = 7.6 kcal/mol on attachment of the acyl moiety to the enzyme. The apparent ionization enthalpy change for the active-inactive transition (pK3 = 8.8; delta H = 3.0 kcal/mol) corresponds with that calculated from the data of Fersht (J. Mol. Biol. 64 (1972) 497). The pH-independent intrinsic enthalpy of acylation (delta H = -7.9 kcal/mol) is corrected for group ionizations linked to the acylation process. Consequently, it more closely reflects molecular processes of interest such as substrate binding, covalent bond rearrangement, and product release.     

Large-ligand adsorption to membranes: I. Linear ligands as a limiting case

It is shown that the usual evaluation of binding data in terms of linear Scatchard plots or using simple mass-action equations is not applicable to the binding of ligands covering more than one receptor on a membrane. As a first step in a general treatment of large-ligand adsorption to membranes, a simple formula is derived which applies to linear chain molecules binding to a membrane without cooperative interactions. The formula may be considered as an extension to surface problems of the well-known one-dimensional treatment of Mc Ghee and Von Hippel (Mc Ghee, J.D. and Von Hippel, P.H. (1974) J. Mol. Biol. 86, 469–489). Being applied to non-linear ligand molecules, our treatment yields a lower limit estimate of the stoichiometric number.     

On the spatial disposition of the fifth transmembrane helix and the structural integrity of the transmembrane binding site in the opioid and ORL1 G protein-coupled receptor family

Evidence from statistical cluster analyses of a multiple sequence alignment of G protein-coupled receptor seven-helix folds supports the existence of structurally conserved transmembrane (TM) ligand binding sites in the opioid/opioid receptor-like (ORL1) and amine receptor families. Based on the expectation that functionally conserved regions in homologous proteins will display locally higher levels of sequence identity compared with global sequence similarities that pertain to the overall fold, this approach may have wider applications in functional genomics to annotate sequence data. Binding sites in models of the kappa-opioid receptor seven-helix bundle built from the rhodopsin templates of Baldwin et al. (1997) [J. Mol. Biol., 272, 144-164] and Herzyk and Hubbard (1998) [J. Mol. Biol., 281, 742-751] are compared. The Herzyk and Hubbard template is found to be in better accord with experimental studies of amine, opioid and rhodopsin receptors owing to the reduced physical separation of the extracellular parts of TM helices V and VI and differences in the rotational orientation of the N-terminal of helix V that reveal side chain accessibilities in the Baldwin et al. structure to be out of phase with relative alkylation rates of engineered cysteine residues in the TM binding site of the alpha(2A)-adrenergic receptor. TM helix V in the Baldwin et al. template has been remodelled with a different proline kink to satisfy experimental constraints. A recent proposal that rotation of helix V is associated with receptor activation is critically discussed.     

Thermodynamic studies on oxygen binding by human red blood cells

Oxygen equilibrium curves have been measured on human normal red blood cells, at the temperatures of 20, 25, 30, 37 and 41 degrees C, and at pHs ranging from 6.8 to 8.2. The thermodynamical parameters have been determined for the four successive steps of oxygenation and for overall oxygenation, according to the Adair and MWC models [Monod J, Wyman J, Changeux JP. On the nature of allosteric transitions: a plausible model. J Mol Biol 1965;12:88-118]. The heat release appears to be nearly equal for the four steps. At the first three steps, the delta H change is counterbalanced by a nearly equivalent change of delta S, resulting in a rather small delta G value. delta G is greater at the fourth step, because of diminution of this enthalpy-entropy compensation phenomenon. The four steps are both enthalpy and entropy driven. According to the MWC model, the T to R transition is endothermic, and allosteric quaternary transition occurs at binding of the third oxygen. The average heat release increases by 2.8 kcal/mol when pH raises from 7.4 to 8.2, but flattens below pH 7.4. After correction for the heat of solution of oxygen and for the heat of proton release (referred to intracellular pH), an intrinsic heat for oxygenation of the heme of approximately--13 kcal/mol is obtained for the successive steps of oxygenation (at pH 7.4, 37 degrees C). These results are compared with those previously obtained for pigeon and trout red blood cells.     

An analytic solution to the Monod-Wyman-Changeux model and all parameters in this model.

Starting from the Monod-Wyman-Changeux (MWC) model (Monod, J., J. Wyman, and J. P. Changeux. 1965. J. Mol. Biol. 12:88-118), we obtain an analytical expression for the slope of the Hill plot at any ligand concentration. Furthermore, we derive an equation satisfied by the ligand concentration at the position of maximum slope. From these results, we derive a set of formulas which allow determination of the parameters of the MWC model (kR, C, and L) from the value of the Hill coefficient, nH, the ligand concentration at the position of maximum slope [( A]0), and the value of nu/(n-nu) at this point. We then outline procedures for utilizing these equations to provide a "best fit" of the MWC model to the experimental data, and to obtain a refined set of the parameters. Finally, we demonstrate the applicability of the technique by analysis of oxygen binding data for Octopus hemocyanin.     

Cooperative free energies for nested allosteric models as applied to human hemoglobin.

A model is developed for ligand binding to human hemoglobin that describes the detailed cooperative free-energies for each of the ten different ligated (cyanomet) species as observed by Smith and Ackers (Smith, F.R., and G.K. Ackers. 1985. Proc. Natl. Acad. Sci. USA.82:5347-5351). The approach taken here is an application of the general principle of hierarchical levels of allosteric control, or nesting, as suggested by Wyman (Wyman, J. 1972. Curr. Top. Cell. Reg. 6:207-223). The model is an extension of the simple two-state MWC model (Monod, J., J. Wyman, and J.P. Changeux. 1965. J. Mol. Biol. 12:88-118) using the idea of cooperative binding within the T (deoxy) form of the macromolecule, and has recently been described as a "cooperon" model (Di Cera, E. 1985. Ph.D. thesis). The T-state cooperative binding is described using simple interaction rules first devised by Pauling (Pauling, L. 1935. Proc. Natl. Acad. Sci. USA. 21:186-191). In this application three parameters suffice to describe the cooperative free-energies of the 10 ligated species of cyanomet hemoglobin. The redox process in the presence of cyanide, represented as a Hill plot, is simulated from Smith and Ackers' cooperative free-energies and is compared with available electrochemical binding measurements.     

Acetylcholine and epibatidine binding to muscle acetylcholine receptors distinguish between concerted and uncoupled models.

The muscle acetylcholine receptor (AChR) has served as a prototype for understanding allosteric mechanisms of neurotransmitter-gated ion channels. The phenomenon of cooperative agonist binding is described by the model of Monod et al. (Monod, J., Wyman, J., and Changeux, J. P. (1965) J. Mol. Biol. 12, 88-118; MWC model), which requires concerted switching of the two binding sites between low and high affinity states. The present study examines binding of acetylcholine (ACh) and epibatidine, agonists with opposite selectivity for the two binding sites of mouse muscle AChRs. We expressed either fetal or adult AChRs in 293 HEK cells and measured agonist binding by competition against the initial rate of 125I-alpha-bungarotoxin binding. We fit predictions of the MWC model to epibatidine and ACh binding data simultaneously, taking as constants previously determined parameters for agonist binding and channel gating steps, and varying the agonist-independent parameters. We find that the MWC model describes the apparent dissociation constants for both agonists but predicts Hill coefficients that are far too steep. An Uncoupled model, which relaxes the requirement of concerted state transitions, accurately describes binding of both ACh and epibatidine and provides parameters for agonist-independent steps consistent with known aspects of AChR function.     

Thermodynamic linkages in rabbit muscle pyruvate kinase: kinetic, equilibrium, and structural studies

The mechanism of allosteric regulation of rabbit muscle pyruvate kinase (PK) was examined in the presence of the allosteric inhibitor phenylalanine (Phe). Steady-state kinetic, equilibrium binding, and structural studies were conducted to provide a broad data base to establish a reasonable model for the interactions. Phe was shown to induce apparent cooperativity in the steady-state kinetic measurements at pH 7.5 and 23 degrees C. The apparent Km for phosphoenolpyruvate was shown to increase with increasing Phe concentrations. These results imply that Phe reduces the affinity of PK for phosphoenolpyruvate. This conclusion was substantiated by equilibrium binding studies which yielded association constants of phosphoenolpyruvate as a function of Phe concentration. The binding constant of Phe was also determined at pH 7.0 and 23 degrees C. The effect of ligands on the hydrodynamic properties of PK was monitored by difference sedimentation velocity, sedimentation velocity, and equilibrium experiments. The results showed that PK remains tetrameric both in the presence and in the absence of Phe. However, Phe induces a small decrease in the sedimentation coefficient of the enzyme; hence, it suggests a loosening of the protein structure. The accessibility of the sulfhydryl residues of the enzyme also increases in the presence of Phe. Furthermore, the Phe-induced conformational change was approximately 90% complete when only 25% of the binding sites were saturated. This result suggested that the regulatory behavior of PK might satisfactorily be described by the two-state model of Monod-Wyman-Changeux [Monod, J., Wyman, J., & Changeux, J.-P. (1965) J. Mol. Biol. 12, 88-118].     

The structural isomerisation of human-muscle adenylate kinase as studied by 1H-nuclear magnetic resonance

Human muscle adenylate kinase (ATP:AMP phosphotransferase, EC 2.7.4.3.) was studied by 1H-nuclear magnetic resonance spectroscopy. The C-2 and C-4 proton resonances of the active-center histidine His-36 could be identified; the pK of His-36 was determined as 6.1. The pK of His-189 is very low (4.9) although it is located at the surface of the protein. Other resonance lines are discussed in comparison with NMR spectra of porcine adenylate kinase [McDonald et al. (1975) J. Biol. Chem. 250, 6947-6954]. A pH-dependent structural isomerization as shown by X-ray crystallography in the pig enzyme [Pai et al. (1977) J. Mol. Biol. 114, 37-45] was not observed for human adenylate kinase in solution. However, the binding of adenosine(5')pentaphospho(5')adenosine (Ap5A), a bisubstrate inhibitor, to adenylate kinase causes an overall change of the NMR spectrum indicative of a large conformational change of the enzyme. The exchange rate (koff) for Ap5A was estimated as 10 s-1 and decreases by addition of Mg2+. On the basis of these values and the known dissociation constant it is likely that the binding of Ap5A is a diffusion-controlled process kon being 10(8) M-1 s-1. In conclusion, the system Ap5A/Mg2+/human adenylate kinase, which has been studied by NMR spectroscopy and X-ray diffraction in parallel, is suitable for analyzing the induced fit postulated by Jencks for all kinase-catalyzed reactions.     

Comparative spectral analysis of mammalian, fungal, and bacterial catalases. Resonance Raman evidence for iron-tyrosinate coordination

Resonance Raman spectra are reported for catalases from bovine liver, the ascomycete fungus Aspergillus niger, and the bacterium Micrococcus luteus. The vibrational frequencies of the oxidation-, spin-, and coordination number-sensitive spectral bands are indicative of high spin pentacoordinate hemes in the resting ferric enzymes of each of these organisms. This result is in accord with the crystal structure of bovine catalase (Fita, I., and Rossmann, M.G. (1985) J. Mol. Biol. 185, 21-37). In contrast, the crystallographic study of catalase from the ascomycete Penicillium vitale (Vainshtein, B. K., Melik-Adamyan, W. R., Barynin, V. V., Vagin, A.A., Grebenko, A. I., Borisov, V. V., Bartels, K. S., Fita, I., and Rossmann, M. G. (1986) J. Mol. Biol. 188, 49-61) showed electron density on the distal side of the heme which could imply the presence of a sixth ligand, possibly a water molecule. However, both of these crystallographic studies showed the proximal ligand in catalase to be a tyrosine. The present study confirms tyrosinate coordination in each of the three catalases from the appearance of selected resonance-enhanced tyrosine vibrational modes. The most characteristic band is the tyrosinate ring mode at approximately 1612 cm-1 which is maximally enhanced with 488.0 nm excitation. The appearance of tyrosinate modes at 1607 and 1245 cm-1 in the resonance Raman spectra of M. luteus cyano catalase serves to identify tyrosine as an axial ligand in bacterial as well as eukaryotic catalases. Unlike non-heme iron tyrosinate proteins, whose resonance Raman spectra are dominated by several intense bands diagnostic of tyrosine ligation, the heme-linked tyrosine modes are not easily distinguished from the large number of porphyrin vibrations.     

The inhibition kinetics and thermodynamic changes of tyrosinase via the zinc ion

We found that Zn(2+) conspicuously inactivated tyrosinase in a mixed-type inhibition manner: the final level of residual activity was abolished at the equilibrium state with concentration of 0.25 mM Zn(2+). Changes of both K(m) and V(max) by various concentrations of Zn(2+) in Lineweaver-Burk plot were observed. To see whether Zn(2+) also induced conformational change of tyrosinase and how thermodynamical changes by ligand binding were occurred, the intrinsic fluorescence studies as well as calorimetric measurements were conducted. The results showed that the Zn(2+) binding to tyrosinase directly induced conformational change of tyrosinase, and the changes of thermodynamic parameters such as enthalpy (DeltaH), Gibbs free-energy (DeltaG), and entropy (DeltaS) were obtained as 60+/-7.0 kJ/mol, -14.54 kJ/mol and 248.53 J/(K mol), respectively. The inactivating effect of Zn(2+) on tyrosinase was completely prevented by incubation with bovine serum albumin, which has a Zn(2+) binding motif in its structure. We suggested that Zn(2+) ligand-binding affected the substrate's accessibility due to the conformational changes and thus, the complex type of inhibition has occurred with the calorimetric changes.     

A comparison of muscle thin filament models obtained from electron microscopy reconstructions and low-angle X-ray fibre diagrams from non-overlap muscle

The regulation of striated muscle contraction involves changes in the interactions of troponin and tropomyosin with actin thin filaments. In resting muscle, myosin-binding sites on actin are thought to be blocked by the coiled-coil protein tropomyosin. During muscle activation, Ca2+ binding to troponin alters the tropomyosin position on actin, resulting in cyclic actin-myosin interactions that accompany muscle contraction. Evidence for this steric regulation by troponin-tropomyosin comes from X-ray data [Haselgrove, J.C., 1972. X-ray evidence for a conformational change in the actin-containing filaments of verterbrate striated muscle. Cold Spring Habor Symp. Quant. Biol. 37, 341-352; Huxley, H.E., 1972. Structural changes in actin and myosin-containing filaments during contraction. Cold Spring Habor Symp. Quant. Biol. 37, 361-376; Parry, D.A., Squire, J.M., 1973. Structural role of tropomyosin in muscle regulation: analysis of the X-ray diffraction patterns from relaxed and contracting muscles. J. Mol. Biol. 75, 33-55] and electron microscope (EM) data [Spudich, J.A., Huxley, H.E., Finch, J., 1972. Regulation of skeletal muscle contraction. II. Structural studies of the interaction of the tropomyosin-troponin complex with actin. J. Mol. Biol. 72, 619-632; O'Brien, E.J., Gillis, J.M., Couch, J., 1975. Symmetry and molecular arrangement in paracrystals of reconstituted muscle thin filaments. J. Mol. Biol. 99, 461-475; Lehman, W., Craig, R., Vibert, P., 1994. Ca2+-induced tropomyosin movement in Limulus thin filaments revealed by three-dimensional reconstruction. Nature 368, 65-67] each with its own particular strengths and limitations. Here we bring together some of the latest information from EM analysis of single thin filaments from Pirani et al. [Pirani, A., Xu, C., Hatch, V., Craig, R., Tobacman, L.S., Lehman, W. (2005). Single particle analysis of relaxed and activated muscle thin filaments. J. Mol. Biol. 346, 761-772], with synchrotron X-ray data from non-overlapped muscle fibres to refine the models of the striated muscle thin filament. This was done by incorporating current atomic-resolution structures of actin, tropomyosin, troponin and myosin subfragment-1. Fitting these atomic coordinates to EM reconstructions, we present atomic models of the thin filament that are entirely consistent with a steric regulatory mechanism. Furthermore, fitting the atomic models against diffraction data from skinned muscle fibres, stretched to non-overlap to preclude crossbridge binding, produced very similar results, including a large Ca2+-induced shift in tropomyosin azimuthal location but little change in the actin structure or apparent alteration in troponin position.     

Binding of oxygen and carbon monoxide to arthropod hemocyanin: an allosteric analysis

The binding of oxygen and carbon monoxide to hemocyanin from the mangrove crab Scylla serrata and the lobster Homarus americanus has been studied by thin-layer optical absorption and front face fluorescence techniques. Three types of experiments were performed on subunit and oligomeric preparations of each hemocyanin: oxygen binding, carbon monoxide binding, and oxygen-carbon monoxide competition studies. The results obtained from the subunit preparations of dissociated oligomers from both hemocyanins show that the binding site can be ligated by either one oxygen or one carbon monoxide. The binding results obtained with the oligomeric samples of hemocyanin from both species cannot be described by the two-state MWC model [Monod, J., Wyman, J., & Changeux, J. P. (1965) J. Mol. Biol. 12, 88-118] since the data from the three types of binding experiments cannot be fit with a single set of binding constants. The MWC model has been extended by including a third allosteric form, and an analysis based on the three-state model is able to fit the data from the three types of experiments with the same set of binding constants. The comparison of the oxygen to carbon monoxide affinity ratios (kO2/kCO) indicates that the structure around the binding site of subunits in the T form oligomer is similar to that of the free subunits. The oligomeric forms of both these hemocyanins bind carbon monoxide with a weak but definite positive cooperativity. An analysis of the affinity ratios for the T, S, and R forms suggests that the high affinity of the R form results from a specific interaction between oxygen and binding site.