Cooperative binding of the bisubstrate analog N-(phosphonacetyl)-L-aspartate to aspartate transcarbamoylase and the heterotropic effects of ATP and CTP

Most investigations of the allosteric properties of the regulatory enzyme aspartate transcarbamoylase (ATCase) from Escherichia coli are based on the sigmoidal dependence of enzyme activity on substrate concentration and the effects of the inhibitor, CTP, and the activator, ATP, on the saturation curves. Interpretations of these effects in terms of molecular models are complicated by the inability to distinguish between changes in substrate binding and catalytic turnover accompanying the allosteric transition. In an effort to eliminate this ambiguity, the binding of the 3H-labeled bisubstrate analog N-(phosphonacetyl)-L-aspartate (PALA) to aspartate transcarbamoylase in the absence and presence of the allosteric effectors ATP and CTP has been measured directly by equilibrium dialysis at pH 7 in phosphate buffer. PALA binds with marked cooperativity to the holoenzyme with an average dissociation constant of 110 nM. ATP and CTP alter both the average affinity of ATCase for PALA and the degree of cooperativity in the binding process in a manner analogous to their effects on the kinetic properties of the enzyme; the average dissociation constant of PALA decreases to 65 nM in the presence of ATP and increases to 266 nM in the presence of CTP while the Hill coefficient, which is 1.95 in the absence of effectors, becomes 1.35 and 2.27 in the presence of ATP and CTP, respectively. The isolated catalytic subunit of ATCase, which lacks the cooperative kinetic properties of the holoenzyme, exhibits only a very slight degree of cooperativity in binding PALA. The dissociation constant of PALA from the catalytic subunit is 95 nM. Interpretation of these results in terms of a thermodynamic scheme linking PALA binding to the assembly of ATCase from catalytic and regulatory subunits demonstrates that saturation of the enzyme with PALA shifts the equilibrium between holoenzyme and subunits slightly toward dissociation. Ligation of the regulatory subunits by either of the allosteric effectors leads to a change in the effect of PALA on the association-dissociation equilibrium.     

Catalytic and regulatory site composition of yeast AMP deaminase by comparative binding and rate studies. Resolution of the cooperative mechanism

Yeast AMP deaminase is allosterically activated by ATP and MgATP and inhibited by GTP and PO4. The tetrameric enzyme binds 2 mol each of ATP, GTP, and PO4/subunit with Kd values of 8.4 +/- 4.0, 4.1 +/- 0.6, and 169 +/- 12 microM, respectively. At 0.7 M KCl, ATP binds to the enzyme, but no longer activates. Titration with coformycin 5'-monophosphate, a slow, tight-binding inhibitor, indicates a single catalytic site/subunit. ATP and GTP bind at regulatory sites distinct from the catalytic site and their binding is mutually exclusive. Inorganic phosphate competes poorly with ATP for the ATP sites (Kd = 20.1 +/- 4.1 mM). However, near-saturating ATP reduces the moles of phosphate bound per subunit to 1 PO4, which binds with a Kd = 275 +/- 22 microM. In the presence of ATP, PO4 cannot effectively compete with ATP for the nucleotide triphosphate sites. The PO4 which binds in the presence of ATP is competitive with AMP at the catalytic site since the Kd equals the kinetic inhibition constant for PO4. Initial reaction rate curves are a cooperative function of AMP concentration and activation by ATP is also cooperative. However, no cooperativity is observed in the binding of any of the regulator ligands and ATP binding and kinetic activation by ATP is independent of substrate analog concentration. Cooperativity in initial rate curves results, therefore, from altered rate constants for product formation from each (enzyme.substrate)n species and not from cooperative substrate binding. The traditional cooperative binding models of allosteric regulation do not apply to yeast AMP deaminase, which regulates catalytic activity by kinetic control of product formation. The data are used to estimate the rates of AMP hydrolysis under reported metabolite concentrations in yeast.     

Kinetics and thermodynamics of ligand binding by cytochrome P450 3A4

Cytochrome P450 (P450) 3A4, the major catalyst involved in human drug oxidation, displays substrate- and reaction-dependent homotropic and heterotropic cooperative behavior. Although several models have been proposed, these mainly rely on steady-state kinetics and do not provide information on the contribution of the individual steps of P450 catalytic cycle to the observed cooperativity. In this work, we focused on the kinetics of substrate binding, and the fluorescent properties of bromocriptine and alpha-naphthoflavone allowed analysis of an initial ligand-P450 3A4 interaction that does not cause a perturbation of the heme spectrum. The binding stoichiometry for bromocriptine was determined to be unity using isothermal titration calorimetry and equilibrium dialysis methods, suggesting that the ligand bound to the peripheral site during the initial encounter dissociates subsequently. A three-step substrate binding model is proposed, based on absorbance and fluorescence stopped-flow kinetic data and equilibrium binding data obtained with bromocriptine, and evaluated using kinetic modeling. The results are consistent with the substrate molecule binding at a site peripheral to the active site and subsequently moving toward the active site to bind to the heme and resulting in a low to high spin iron shift. The last step is attributed to a conformational change in the enzyme active site. The later steps of binding were shown to have rate constants comparable with the subsequent steps of the catalytic cycle. The P450 3A4 binding process is more complex than a two-state system, and the overlap of rates of some of the events with subsequent steps is proposed to underlie the observed cooperativity.     

Is there a toxicological advantage for non-hyperbolic kinetics in cytochrome P450 catalysis? Functional allostery from "distributive catalysis"

The cytochrome P450s (CYPs) are the major enzymatic detoxification and drug metabolism system. Recently, it has become clear that several CYP isoforms exhibit positive and negative homotropic cooperativity. However, the toxicological implications of allosteric kinetics have not been considered, nor understood. The allosteric kinetics are particularly enigmatic in several respects. In many cases, CYPs bioactivate substrates to more toxic products, thus making it difficult to rationalize a functional advantage for positive cooperativity. Also, CYPs exhibit cooperativity with many structurally diverse ligands, in marked contrast to the specificity observed with other allosteric systems. Here, kinetic simulations are used to compare the probabilistic time- and concentration-dependent integrated toxicity function during conversion of substrate to product for CYP models exhibiting Michaelis-Menten (non-cooperative) kinetics, positive cooperativity, or negative cooperativity. The results demonstrate that, at low substrate concentrations, the slower substrate turnover afforded by cooperative CYPs compared with Michaelis-Menten enzymes can be a significant toxicological advantage, when toxic thresholds exist. When present, the advantage results from enhanced "distribution" of toxin in two pools, substrate and product, for an extended period, thus minimizing the chance that either exceeds its toxic threshold. At intermediate concentrations, the allosteric kinetics can be a modest advantage or modest disadvantage, depending on the kinetic parameters. However, at high substrate concentrations associated with a high probability of toxicity, fast turnover is desirable, and this advantage is provided also by the cooperative enzymes. For the positive homotropic cooperativity, the allosteric kinetics minimize the probability of toxicity over the widest range of system parameters. Furthermore, this apparent functional cooperativity is achieved without specific molecular recognition that is the hallmark of "traditional" allostery.     

The Escherichia coli F1F0 ATP synthase displays biphasic synthesis kinetics

The F1F0 proton-translocating ATPase/synthase is the primary generator of ATP in most organisms growing aerobically. Kinetic assays of ATP synthesis have been conducted using enzymes from mitochondria and chloroplasts. However, limited data on ATP synthesis by the model Escherichia coli enzyme are available, mostly because of the lack of an efficient and reproducible assay. We have developed an optimized assay and have collected synthase kinetic data over a substrate concentration range of 2 orders of magnitude for both ADP and Pi from the synthase enzyme of E. coli. Negative and positive cooperativity of substrate binding and positive catalytic cooperativity were all observed. ATP synthesis displayed biphasic kinetics for ADP indicating that 1) the enzyme is capable of catalyzing efficient ATP synthesis when only two of three catalytic sites are occupied by ADP; and 2) occupation of the third site further activates the rate of catalysis.     

A specific human lysophospholipase: cDNA cloning, tissue distribution and kinetic characterization

Lysophospholipases are critical enzymes that act on biological membranes to regulate the multifunctional lysophospholipids; increased levels of lysophospholipids are associated with a host of diseases. Herein we report the cDNA cloning of a human brain 25 kDa lysophospholipid-specific lysophospholipase (hLysoPLA). The enzyme (at both mRNA and protein levels) is widely distributed in tissues, but with quite different abundances. The hLysoPLA hydrolyzes lysophosphatidylcholine in both monomeric and micellar forms, and exhibits apparent cooperativity and surface dilution kinetics, but not interfacial activation. Detailed kinetic analysis indicates that the hLysoPLA binds first to the micellar surface and then to the substrate presented on the surface. The kinetic parameters associated with this surface dilution kinetic model are reported, and it is concluded that hLysoPLA has a single substrate binding site and a surface recognition site. The apparent cooperativity observed is likely due to the change of substrate presentation. In contrast to many non-specific lipolytic enzymes that exhibit lysophospholipase activity, hLysoPLA hydrolyzes only lysophospholipids and has no other significant enzymatic activity. Of special interest, hLysoPLA does not act on plasmenylcholine. Of the several inhibitors tested, only methyl arachidonyl fluorophosphonate (MAFP) potently and irreversibly inhibits the enzymatic activity. The inhibition by MAFP is consistent with the catalytic mechanism proposed for the enzyme - a serine hydrolase with a catalytic triad composed of Ser-119, Asp-174 and His-208.     

An aspartate transcarbamylase lacking catalytic subunit interactions. Study of conformational changes by ultraviolet absorbance and circular dichroism spectroscopy.

A modified form of aspartate transcarbamylase is synthesized by Escherichia coli in the presence of 2-thiouracil which does not exhibit homotropic cooperative interactions between active sites yet retains heterotropic cooperative interactions due to nucleotide binding. The conformational changes induced in the modified enzyme by the binding of different ligands (substrates, substrate analogs, a transition state analog, and nucleotide effectors) were studied using ultraviolet absorbance and circular dichroism difference spectroscopy. Comparison of the results for the modified enzyme and its isolated subunits to those for the native enzyme and its isolated subunits showed that the conformational changes detected by these methods are qualitatively similar in the two enzymes. Comparison of the absorbance difference spectra due to the binding of a transition substrate analog to the intact native or modified enzymes to the corresponding results for the isolated subunits suggested that ligand binding causes an increased exposure to solvent of certain tyrosyl and phenylalanyl residues in the intact enzymes but not in the isolated subunits. This result is consistent with a diminution of subunit contacts due to substrate binding in the course of homotropic interactions in the native enzyme. Such conformational changes, though perhaps necessary for homotropic cooperativity, are not sufficient to cause homotropic cooperativity since the modified enzyme gave identical perturbations. Interactions of the transition state analog, N-(phosphonacetyl)-L-aspartate, with the modified enzyme were studied. Enzyme kinetic data obtained at low aspartate concentrations showed that this transition state analog does not stimulate activity, but rather exhibits the inhibition predicted for the total absence of homotropic cooperative interactions in the modified enzyme. Spectrophotometric titrations of the number of catalytic sites with the transition state analog showed that the modified enzyme and its isolated subunits possess, respectively, four and two high affinity sites for the inhibitor instead of six and three observed in the case of the normal enzyme and its isolated catalytic subunits. These results are correlated with the lower specific enzymatic activities of the modified enzyme and its catalytic subunits compared to the normal corresponding enzymatic species.     

Interdependence between cooperativity and control coefficients

Influence of the concentration of internal metabolites on the control coefficient (defined as fractional change in flux per fractional change in enzyme activity) and regulatory properties of a given enzyme have been studied theoretically using a cyclic model of three enzymes. This model is useful to investigate the properties of the flux control coefficient for an enzyme following different rate equations. Enzymes can have high or low values of control coefficient irrespective of the type of kinetic equation, but the results obtained show that the sensitivity of these values to substrate variations is strongly dependent on its rate equation. These results help identify which kinetic equation allows the best control of a given metabolic pathway. These results have been applied to the purine nucleotide cycle. It is demonstrated that the best control of the cycle is reached when the irreversible reaction catalyzed by AMP deaminase follows a rate law that corresponds to a rational function of 2:2 degree with respect to AMP concentration.     

D-3-Phosphoglycerate dehydrogenase from Mycobacterium tuberculosis is a link between the Escherichia coli and mammalian enzymes

D-3-Phosphoglycerate dehydrogenase (PGDH) from Mycobacterium tuberculosis has been isolated to homogeneity and displays an unusual relationship to the Escherichia coli and mammalian enzymes. In almost all aspects investigated, the M. tuberculosis enzyme shares the characteristics of the mammalian PGDHs. These include an extended C-terminal motif, substrate inhibition kinetics, dependence of activity levels and stability on ionic strength, and the inability to utilize alpha-ketoglutarate as a substrate. The unique property that the M. tuberculosis enzyme shares with E. coli PGDH that it is very sensitive to inhibition by L-serine, with an I(0.5) = 30 microm. The mammalian enzymes are not inhibited by L-serine. In addition, the cooperativity of serine inhibition appears to be modulated by chloride ion, becoming positively cooperative in its presence. This is modulated by the gain of cooperativity in serine binding for the first two effector sites. The basis for the chloride modulation of cooperativity is not known, but the sensitivity to serine inhibition can be explained in terms of certain amino acid residues in critical areas of the structures. The differential sensitivity to serine inhibition by M. tuberculosis and human PGDH may open up interesting possibilities in the treatment of multidrug-resistant tuberculosis.     

The binding and release of oxygen and hydrogen peroxide are directed by a hydrophobic tunnel in cholesterol oxidase

The usage by enzymes of specific binding pathways for gaseous substrates or products is debated. The crystal structure of the redox enzyme cholesterol oxidase, determined at sub-angstrom resolution, revealed a hydrophobic tunnel that may serve as a binding pathway for oxygen and hydrogen peroxide. This tunnel is formed by a cascade of conformational rearrangements and connects the active site with the exterior surface of the protein. To elucidate the relationship between this tunnel and gas binding and release, three mutant enzymes were constructed to block the tunnel or its putative gate. Mutation of the proposed gating residue Asn485 to Asp or tunnel residue Phe359 or Gly347 to Trp or Asn reduces the catalytic efficiency of oxidation. The K mO 2 increases from 300 +/- 35 microM for the wild-type enzyme to 617 +/- 15 microM for the F359W mutant. The k cat for the F359W mutant-catalyzed reaction decreases 13-fold relative to that of the wild-type-catalyzed reaction. The N485D and G347N mutants could not be saturated with oxygen. Transfer of hydride from the sterol to the flavin prosthetic group is no longer rate-limiting for these tunnel mutants. The steady-state kinetics of both wild-type and tunnel mutant enzymes are consistent with formation of a ternary complex of steroid and oxygen during catalysis. Furthermore, kinetic cooperativity with respect to molecular oxygen is observed with the tunnel mutants, but not with the wild-type enzyme. A rate-limiting conformational change for binding and release of oxygen and hydrogen peroxide, respectively, is consistent with the cooperative kinetics. In the atomic-resolution structure of F359W, the indole ring of the tryptophan completely fills the tunnel and is observed in only a single conformation. The size of the indole is proposed to limit conformational rearrangement of residue 359 that leads to tunnel opening in the wild-type enzyme. Overall, these results substantiate the functional importance of the tunnel for substrate binding and product release.     

Binding of a gating modifier toxin induces intersubunit cooperativity early in the Shaker K channel's activation pathway

Potassium currents from voltage-gated Shaker K channels activate with a sigmoid rise. The degree of sigmoidicity in channel opening kinetics confirms that each subunit of the homotetrameric Shaker channel undergoes more than one conformational change before the channel opens. We have examined effects of two externally applied gating modifiers that reduce the sigmoidicity of channel opening. A toxin from gastropod mucus, 6-bromo-2-mercaptotryptamine (BrMT), and divalent zinc are both found to slow the same conformational changes early in Shaker's activation pathway. Sigmoidicity measurements suggest that zinc slows a conformational change independently in each channel subunit. Analysis of activation in BrMT reveals cooperativity among subunits during these same early steps. A lack of competition with either agitoxin or tetraethylammonium indicates that BrMT binds channel subunits outside of the external pore region in an allosterically cooperative fashion. Simulations including negatively cooperative BrMT binding account for its ability to induce gating cooperativity during activation. We conclude that cooperativity among K channel subunits can be greatly altered by experimental conditions.     

A loop involving catalytic chain residues 230-245 is essential for the stabilization of both allosteric forms of Escherichia coli aspartate transcarbamylase

The allosteric transition of Escherichia coli aspartate transcarbamylase involves significant alterations in structure at both the quaternary and tertiary levels. On the tertiary level, the 240s loop (residues 230-245 of the catalytic chain) repositions, influencing the conformation of Arg-229, a residue near the aspartate binding site. In the T state, Arg-229 is bent out of the active site and may be stabilized in this position by an interaction with Glu-272. In the R state, the conformation of Arg-229 changes, allowing it to interact with the beta-carboxylate of aspartate, and is stabilized in this position by a specific interaction with Glu-233. In order to ascertain the function of Arg-229, Glu-233, and Glu-272 in the catalytic and cooperative interactions of the enzyme, three mutant enzymes were created by site-specific mutagenesis. Arg-229 was replaced by Ala, while both Glu-233 and Glu-272 were replaced by Ser. The Arg-229----Ala and Glu-233----Ser enzymes exhibit 10,000-fold and 80-fold decreases in maximal activity, respectively, and they both exhibit a 2-fold increase in the aspartate concentration at half the maximal observed velocity, [S]0.5. The Arg-229----Ala enzyme still exhibits substantial homotropic cooperativity, but all cooperativity is lost in the Glu-233----Ser enzyme. The Glu-233----Ser enzyme also shows a 4-fold decrease in the carbamyl phosphate [S]0.5, while the Arg-229----Ala enzyme shows no change in the carbamyl phosphate [S]0.5 compared to the wild-type enzyme. The Glu-272 to Ser mutation results in a slight reduction in maximal activity, an increase in [S]0.5 for both aspartate and carbamyl phosphate, and reduced cooperativity. Analysis of the isolated catalytic subunits from these three mutant enzymes reveals that in each case the changes in the kinetic properties of the isolated catalytic subunit are similar to the changes caused by the mutation in the holoenzyme. PALA was able to activate the Glu-233----Ser enzyme, at low aspartate concentrations, even though the mutant holoenzyme did not exhibit any cooperativity, indicating that cooperative interactions still exist between the active sites in this enzyme. It is proposed that Glu-233 of the 240s loop helps create the high-activity-high-affinity R state by positioning the side chain of Arg-229 for aspartate binding while Glu-272 helps stabilize the low-activity-low-affinity T state by positioning the side chain of Arg-229 so that it cannot interact with aspartate.(ABSTRACT TRUNCATED AT 400 WORDS)     

Expression mechanism of the allosteric interactions in a ribozyme catalysis.

The contribution of substrate binding to cooperative regulation in the rate process of ribozyme catalysis has been investigated using allosteric ribozymes. The high sensitivity to the substrate lengths is attributed to the catalytic core folding which proceeds due to the energetic contribution of the substrate binding. One role of the effector (FMN) is the promotion of the core folding through the stabilization of the aptamer domain. Another role is the inhibition of the cleavage chemistry by perturbing the intermediate state in the rate process. The total effects of these two types of kinetic regulation determine the substrate dependency of the cooperative interaction on the catalytic reaction. An adequate correlation between the type of regulation and the substrate binding is responsible for the cooperative interaction in the kinetic process.     

Hysteresis and positive cooperativity of iceberg lettuce polyphenol oxidase.

A kinetic study of the diphenolase activity of latent polyphenol oxidase (PPO), purified from Iceberg lettuce (Lactuca sativa L), revealed a sigmoid relationship between the reaction rate and the substrate concentration with a high Hill coefficient (n(H) = 3.8). This positive cooperativity had not been previously described for any PPO. Furthermore, the enzyme showed a lag phase in the expression of this activity, suggesting a hysteretic nature of the enzyme. The kinetic behavior, the latency and the lag phase varied at different steps of the purification process. PPO showed hyperbolic or cooperative kinetics depending on the pH assay and the sodium dodecyl sulfate (SDS) concentration. Substrate-induced slow conformational change of the oligomeric enzyme is suggested. The conformational change would be toward a more active enzyme form with higher affinity for the substrate and favoured by acid pH and SDS.     

Apparent cooperative effects in acetylcholine receptor-mediated ion flux electroplax membrane preparations.

The kinetics of acetylcholine receptor-mediated flux of ²²sodium ions from microsacs has been measured in the presence of activators (carbamylcholine and decamethonium) and an inhibitor (d-tubocurarine) of neural transmission. The dependence of the first-order rate constant, k_obs, for ²²sodium ion efflux on either decamethonium or carbamylcholine concentration does not exhibit cooperativity. The apparent cooperativity observed by Kasai and Changeux in dose-response curves for ²²sodium flux from the same preparation is adequately accounted for by the contribution which efflux from non-excitable microsacs, the main component of the preparation, makes to the measurements. d-Tubocurarine was found to be a non-competitive inhibitor of decamethonium-activated ²²sodium efflux. The results of the kinetic measurements are in agreement with equilibrium measurements of the interaction of decamethonium with the same microsac preparation, i.e. adherence to a classic Langmuir binding isotherm and separate binding sites for activators and inhibitors of neural activity. The results indicate a direct relationship between ligand binding and receptor-mediated ion flux. How these two processes contribute to electrophysiological measurements is not apparent.     

Novel kinetics of mammalian glutathione synthetase: characterization of gamma-glutamyl substrate cooperative binding

Glutathione (GSH) synthetase [L-gamma-glutamyl-L-cysteinyl:glycine ligase (ADP-forming), EC 6.3.2.3] catalyzes the final step in GSH biosynthesis. Mammalian glutathione synthetase is a homodimer with each subunit containing an active site. We report the detailed kinetic data for purified recombinant rat glutathione synthetase. It has the highest specific activity (11 micromol/min/mg) reported for any mammalian glutathione synthetase. The apparent K(m) values for ATP and glycine are 37 and 913 microM, respectively. The Lineweaver-Burk double reciprocal plot for gamma-glutamyl substrate binding revealed a departure from linearity indicating cooperative binding. Quantitative analysis of the kinetic results for gamma-glutamyl substrate binding gives a Hill coefficient (h) of 0. 576, which shows the negative cooperativity. Neither ATP, the other substrate involved in forming the enzyme-bound gamma-glutamyl phosphate intermediate, nor glycine, which attacks this intermediate to form GSH, exhibit any cooperativity. The cooperative binding of gamma-glutamyl substrate is not affected by ATP concentration. Thus, mammalian glutathione synthetase is an allosteric enzyme.     

Mathematical modelling of dynamics and control in metabolic networks. II. Simple dimeric enzymes

The dynamics of enzyme cooperativity are examined by studying a homotropic dimeric enzyme with identical reaction sites, both of which follow irreversible Michaelis-Menten kinetics. The problem is approached via scaling and linearization of the governing mass action kinetic equations. Homotropic interaction between the two sites are found to depend on three dimensionless groups, two for the substrate binding step and one for the chemical transformation. The interaction between the two reaction sites is shown capable of producing dynamic behavior qualitatively different from that of a simple Michaelis-Menten system; when the two sites interact to increase enzymatic activity over that of two independent monomeric enzymes (positive cooperativity) damped oscillatory behavior is possible, and for negative cooperativity in the chemical transformation step a multiplicity of steady states can occur, with one state unstable and leading to runaway behavior. Linear analysis gives significant insight into system dynamics, and their parametric sensitivity, and a way to identify regions of the parameter space where the approximate quasi-stationary and quasi-equilibrium analyses are appropriate.     

Cooperativity and specificity in enzyme kinetics: a single-molecule time-based perspective

An alternative theoretical approach to enzyme kinetics that is particularly applicable to single-molecule enzymology is presented. The theory, originated by Van Slyke and Cullen in 1914, develops enzyme kinetics from a “time perspective” rather than the traditional “rate perspective” and emphasizes the nonequilibrium steady-state nature of enzymatic reactions and the significance of small copy numbers of enzyme molecules in living cells. Sigmoidal cooperative substrate binding to slowly fluctuating, monomeric enzymes is shown to arise from association pathways with very small probability but extremely long passage time, which would be disregarded in the traditional rate perspective: A single enzyme stochastically takes alternative pathways in serial order rather than different pathways in parallel. The theory unifies dynamic cooperativity and Hopfield-Ninio's kinetic proofreading mechanism for specificity amplification.     

Filament compliance influences cooperative activation of thin filaments and the dynamics of force production in skeletal muscle

Striated muscle contraction is a highly cooperative process initiated by Ca²⁺ binding to the troponin complex, which leads to tropomyosin movement and myosin cross-bridge (XB) formation along thin filaments. Experimental and computational studies suggest skeletal muscle fiber activation is greatly augmented by cooperative interactions between neighboring thin filament regulatory units (RU-RU cooperativity; 1 RU = 7 actin monomers+1 troponin complex+1 tropomyosin molecule). XB binding can also amplify thin filament activation through interactions with RUs (XB-RU cooperativity). Because these interactions occur with a temporal order, they can be considered kinetic forms of cooperativity. Our previous spatially-explicit models illustrated that mechanical forms of cooperativity also exist, arising from XB-induced XB binding (XB-XB cooperativity). These mechanical and kinetic forms of cooperativity are likely coordinated during muscle contraction, but the relative contribution from each of these mechanisms is difficult to separate experimentally. To investigate these contributions we built a multi-filament model of the half sarcomere, allowing RU activation kinetics to vary with the state of neighboring RUs or XBs. Simulations suggest Ca²⁺ binding to troponin activates a thin filament distance spanning 9 to 11 actins and coupled RU-RU interactions dominate the cooperative force response in skeletal muscle, consistent with measurements from rabbit psoas fibers. XB binding was critical for stabilizing thin filament activation, particularly at submaximal Ca²⁺ levels, even though XB-RU cooperativity amplified force less than RU-RU cooperativity. Similar to previous studies, XB-XB cooperativity scaled inversely with lattice stiffness, leading to slower rates of force development as stiffness decreased. Including RU-RU and XB-RU cooperativity in this model resulted in the novel prediction that the force-[Ca²⁺] relationship can vary due to filament and XB compliance. Simulations also suggest kinetic forms of cooperativity occur rapidly and dominate early to get activation, while mechanical forms of cooperativity act more slowly, augmenting XB binding as force continues to develop.     

A novel type of allosteric regulation: functional cooperativity in monomeric proteins

Cooperative functional properties and allosteric regulation in cytochromes P450 play an important role in xenobiotic metabolism and define one of the main mechanisms of drug-drug interactions. Recent experimental results suggest that ability to bind simultaneously two or more small organic molecules can be the essential feature of cytochrome P450 fold, and often results in rich and complex pattern of allosteric behavior. Manifestations of non-Michaelis kinetics include homotropic and heterotropic activation and inhibition effects depending on the stoichiometric ratios of substrate and effector, changes in the regio- and stereospecificity of catalytic transformations, and often give rise to the clinically important drug-drug interactions. In addition, functional response of P450 systems is modulated by the presence of specific and non-specific effector molecules, metal ions, membrane incorporation, formation of homo- and hetero-oligomers, and interactions with the protein redox partners. In this article we briefly overview the main factors contributing to the allosteric effects in cytochromes P450 with the main focus on the sources of cooperative behavior in xenobiotic metabolizing monomeric heme enzymes with their conformational flexibility and extremely broad substrate specificity. The novel mechanism of functional cooperativity in P450 enzymes does not require substantial binding cooperativity, rather it implies the presence of one or more binding sites with higher affinity than the single catalytically active site in the vicinity of the heme iron.