Oxygen-binding characteristics of Potamilla chlorocruorin

Accurate oxygen equilibrium curves of chlorocruorin of a marine polychaete annelid, Potamilla leptochaeta, were determined under a variety of experimental conditions. Like chlorocruorins from other species Potamilla chlorocruorin exhibited a low oxygen affinity, a large Bohr effect, and high cooperativity compared to those of human hemoglobin. However, in contrast to chlorocruorins from other species, the shape of the oxygen equilibrium curve for Potamilla chlorocruorin varied dramatically upon changes of pH or temperature. As observed in hemocyanins and annelid hemoglobins, cations, especially divalent ones such as Mg2+ and Ca2+, caused marked increase in oxygen affinity and cooperativity of Potamilla chlorocruorin. This finding together with the determination of cations in Potamilla blood has made clear the physiological role of chlorocruorin as an oxygen carrier. A graphical analysis based on the Monod-Wyman-Changeux allosteric model indicated that the number of sites for oxygen binding involved in heme-heme interactions is six, defining the functional unit of chlorocruorin molecule.     

Oxygen equilibria of Octopus dofleini hemocyanin

Oxygen binding by Octopus dofleini hemocyanin was examined under very nearly physiological conditions. The effects of pH, ionic composition, temperature, and aggregation were controlled so that the role each plays in modulating oxygen binding can be isolated. There is a very large effect of pH on affinity, the Bohr effect (delta log P50/delta pH = -1.7), which is the same at 10 and 20 degrees C. However, cooperativity is substantially altered over the same range of pHs at the two temperatures. The allosteric properties were examined by comparing the experimental data points to curves generated by use of the Monod-Wyman-Changeux model. A computer-fitting process was developed which allowed the individual allosteric parameters to be varied independently until the best fit could be determined. The relationship between kR and kT is responsible for the effect of pH on cooperativity. A change in the allosteric properties of the T form is primarily responsible for the differences due to temperature. Changing cation concentrations when the molecule is in the fully aggregated 51S form alters affinity without influencing cooperativity. The effect of Mg2+ is much greater than that of Na+. If the 51S decamer is dissociated to 11S monomers by removing divalent cations, oxygen binding is noncooperative. There is evidence for negative cooperativity, indicating heterogeneity of function within the subunit which contains seven oxygen binding domains. Association into decamers generates conformational change which results in a much wider range of allosteric function.     

The functionally distinct hemoglobins of the Arctic spotted wolffish Anarhichas minor

The Arctic fish Anarhichas minor, a benthic sedentary species, displays high hemoglobin multiplicity. The three major hemoglobins (Hb 1, Hb 2, and Hb 3) show important functional differences in pH and organophosphate regulation, subunit cooperativity, and response of oxygen binding to temperature. Hb 1 and Hb 2 display a low, effector-enhanced Bohr effect and no Root effect. In contrast, Hb 3 displays pronounced Bohr and Root effects, accompanied by strong organophosphate regulation. Hb 1 has the beta (beta(1)) chain in common with Hb 2; Hb 3 and Hb 2 share the alpha (alpha(2)) chain. The amino acid sequences have been established. Several substitutions in crucial positions were observed, such as Cys in place of C-terminal His in the beta(1) chain of Hb 1 and Hb 2. In Hb 3, Val E11 of the beta(2) chain is replaced by Ile. Homology modeling revealed an unusual structure of the Hb 3 binding site of inositol hexakisphoshate. Phylogenetic analysis indicated that only Hb 2 displays higher overall similarity with the major Antarctic hemoglobins. The oxygen transport system of A. minor differs remarkably from those of Antarctic Notothenioidei, indicating distinct evolutionary pathways in the regulatory mechanisms of the fish respiratory system in the two polar environments.     

Effects of heterogeneity and cooperativity on the forms of binding curves for multivalent ligands

An exploratory investigation is made of the binding behavior that is likely to be encountered with multivalent ligands under circumstances where a single intrinsic binding constant does not suffice to describe all acceptor-ligand interactions. Numerical simulations of theoretical binding behavior have established that current criteria for recognizing heterogeneity and cooperativity of acceptor sites on the basis of the deviation of the binding curve from rectangular hyperbolic form for univalent ligands also apply to the interpretation of the corresponding binding curves for multivalent ligands. However, for systems in which the source of the departure from equivalence and independence of binding sites resides in the ligand, these criteria are reversed. On the basis of these observations a case is then made for attributing results of an experimental binding study of the interaction between pyruvate kinase and muscle myofibrils to positive cooperativity of enzyme sites rather than to heterogeneity or negative cooperativity of the myofibrillar sites.     

Role of tertiary structures on the Root effect in fish hemoglobins

Many fish hemoglobins exhibit a marked dependence of oxygen affinity and cooperativity on proton concentration, called Root effect. Both tertiary and quaternary effects have been evoked to explain the allosteric regulation brought about by protons in fish hemoglobins. However, no general rules have emerged so far. We carried out a complementary crystallographic and microspectroscopic characterization of ligand binding to crystals of deoxy-hemoglobin from the Antarctic fish Trematomus bernacchii (HbTb) at pH 6.2 and pH 8.4. At low pH ligation has negligible structural effects, correlating with low affinity and absence of cooperativity in oxygen binding. At high pH, ligation causes significant changes at the tertiary structural level, while preserving structural markers of the T state. These changes mainly consist in a marked displacement of the position of the switch region CD corner towards an R-like position. The functional data on T-state crystals validate the relevance of the crystallographic observations, revealing that, differently from mammalian Hbs, in HbTb a significant degree of cooperativity in oxygen binding is due to tertiary conformational changes, in the absence of the T–R quaternary transition. This article is part of a Special Issue entitled: Oxygen Binding and Sensing Proteins.     

Heterotropic effectors control the hemoglobin function by interacting with its T and R states--a new view on the principle of allostery

Careful analyses of precise oxygenation curves of hemoglobin (Hb) clearly indicate that, contrary to the common belief, allosteric effectors exert a dramatic control of the oxygenation characteristics of the protein by binding not only to the T (unligated), but also to the R (ligated) state, in a process that is proton-driven and involves proton uptake. The most striking functional changes were obtained when the allosteric effectors were bound to the fully ligated Hb: the oxygen affinity decreased dramatically, Bohr effect was enhanced, and cooperativity of oxygen ligation was almost absent, emulating a Root effect-like behavior. However, structural analysis, such as Cys beta 93 sulfhydryl reactivity and ultraviolet circular dichroism, confirmed that the ligated Hb was in fact in the R state, despite its extremely low affinity state features. These findings provide a new global view for allosteric interactions and invoke for a modern interpretation of the role of allosteric effectors and a reformulation of the Monod-Wyman-Changeaux model for control of allosteric systems, and other complementary models as well.     

Cooperativity in the dopamine beta-monooxygenase reaction. Evidence for ascorbate regulation of enzyme activity

The steady-state kinetic behavior of dopamine beta-monooxygenase (D beta M) has been examined over a 1000-fold range of ascorbate concentrations. Kinetic plots exhibit extreme curvature indicative of apparent negative cooperativity in the interaction of D beta M with ascorbate, with a calculated Hill coefficient of 0.15-0.30. The observed cooperativity is found to be independent of enzyme concentration and tyramine and oxygen concentrations, as well as the pH employed for the assay. Similar kinetic data have been obtained with both soluble and purified membrane-derived forms of enzyme. An investigation of the effect of the anion activator fumarate upon the observed kinetic patterns has demonstrated a conversion to a less cooperative kinetic pattern at low pH and high concentrations of fumarate. This phenomenon is attributed to an inhibitory binding of the structurally similar monoanionic species of fumarate to the ascorbate reductant site. A simple model has been used to assess the change in apparent Vmax and Km parameters with increased ascorbate concentrations. At all pH values examined, there is a dramatic decrease in the affinity of D beta M for ascorbate from a Km of approximately 0.05-0.10 mM (ascorbate concentration less than 1 mM) to Km greater than 10 mM at limiting ascorbate; at the same time there is a 3- to 4-fold increase in the limiting Vmax value. Several models have been considered to explain the observed activation of D beta M by high levels of ascorbic acid.     

Effect of removal of a salt-bridge on the oxygen binding properties and the electronic structure of heme in cobalt-iron hybrid hemoglobin.

In order to clarify the role of salt-bridges in hemoglobin, the oxygen equilibrium curves and electron paramagnetic resonance (EPR) spectra of cobalt-iron hybrid hemoglobins were determined. The EPR spectra of deoxy alpha(Co)2 beta(Fe)2 could be interpreted as a mixture of two distinct paramagnetic species: one showed a maximum of the first derivative spectrum at g = 2.39 and the other at g = 2.33. The oxygen equilibrium curves of the hybrid indicated that the former is assignable to the T structure and the latter to the R structure. The cooperativity of oxygen binding of alpha(Co)2 beta(Fe)2 exhibited a maximum at g = 2.33, which is characteristic of the R structure, regardless of the pH. Addition of inositol hexaphosphate (IHP) to des-Arg alpha(Co)2 beta(Fe)2 restored the cooperativity of oxygen binding, which implies that the deoxygenated form of des-Arg alpha(Co)2 beta(Fe)2 is converted to the T structure upon addition of IHP. However, the EPR signal at g = 2.39 was not restored upon conversion to the T structure by addition of IHP. It is therefore concluded that the EPR spectrum of the deoxy alpha(Co) subunit depends both on the quaternary structure and on the localized strain at the heme.     

Oxygen binding by alpha(Fe2+)2beta(Ni2+)2 hemoglobin crystals

Oxygen binding by hemoglobin fixed in the T state either by crystallization or by encapsulation in silica gels is apparently noncooperative. However, cooperativity might be masked by different oxygen affinities of alpha and beta subunits. Metal hybrid hemoglobins, where the noniron metal does not bind oxygen, provide the opportunity to determine the oxygen affinities of alpha and beta hemes separately. Previous studies have characterized the oxygen binding by alpha(Ni2+)2beta(Fe2+)2 crystals. Here, we have determined the three-dimensional (3D) structure and oxygen binding of alpha(Fe2+)2beta(Ni2+)2 crystals grown from polyethylene glycol solutions. Polarized absorption spectra were recorded at different oxygen pressures with light polarized parallel either to the b or c crystal axis by single crystal microspectrophotometry. The oxygen pressures at 50% saturation (p50s) are 95 +/- 3 and 87 +/- 4 Torr along the b and c crystal axes, respectively, and the corresponding Hill coefficients are 0.96 +/- 0.06 and 0.90 +/- 0.03. Analysis of the binding curves, taking into account the different projections of the alpha hemes along the optical directions, indicates that the oxygen affinity of alpha1 hemes is 1.3-fold lower than alpha2 hemes. Inspection of the 3D structure suggests that this inequivalence may arise from packing interactions of the Hb tetramer within the monoclinic crystal lattice. A similar inequivalence was found for the beta subunits of alpha(Ni2+)2beta(Fe2+)2 crystals. The average oxygen affinity of the alpha subunits (p50 = 91 Torr) is about 1.2-fold higher than the beta subunits (p50 = 110 Torr). In the absence of cooperativity, this heterogeneity yields an oxygen binding curve of Hb A with a Hill coefficient of 0.999. Since the binding curves of Hb A crystals exhibit a Hill coefficient very close to unity, these findings indicate that oxygen binding by T-state hemoglobin is noncooperative, in keeping with the Monod, Wyman, and Changeux model.     

Cooperativity and noncooperativity in the binding of NAD analogues to rabbit muscle glyceraldehyde-3-phosphate dehydrogenase.

Using NAD analogues as ligands, the structural requirements for negative cooperativity in binding to rabbit muscle glyceraldehyde-3-phosphate dehydrogenase were examined. Although the affinity of nicotinamide hypoxanthine dinucleotide is considerably lower than that of NAD+, it also binds to the enzyme with negative cooperatively. Two pairs of nicotinamide hypoxanthine dinucleotide binding sitess were distinguished, one pair having an affinity for the analogue which is 15 times that of the second pair. Negative cooperativity is also found in the Km values for the analogue. Thus modification of the adenine ring of NAD+ to hypoxanthine does not abolish negative cooperativity in coenzyme binding. Adenosine diphosphoribose binding to the same enzyme shows neither positive nor negative cooperativity, indicating that cooperativity apparently requires an intact nicotinamide ring in the coenzyme structure, under the conditions of these experiments. Occupancy of the nicotinamide subsite of the coenzyme binding site is not necessary for half-of-sites reactivity of alkylating or acylating compounds (Levitzki, A. (1974), J. Mol, Biol. 90, 451-458). However, it can be important in the negative cooperativity in ligand binding, as illustrated by adenosine diphosphoribose which fails to exhibit negative cooperativity. Occupancy of the adenine subsite by adenine is important for stabilization of the enzyme against thermal denaturation. Whether the stabilization is due to an altered conformation of the subunits or stabilization of the preexisting structure of the apoenzyme cannot be determined from these studies. However, nicotinamide hypoxanthine dinucleotide does not contribute to enzyme stability although it serves as a substrate and shows negative cooperativity.     

Structural basis for the heterotropic and homotropic interactions of invertebrate giant hemoglobin

The oxygen binding properties of extracellular giant hemoglobins (Hbs) in some annelids exhibit features significantly different from those of vertebrate tetrameric Hbs. Annelid giant Hbs show cooperative oxygen binding properties in the presence of inorganic cations, while the cooperativities of vertebrate Hbs are enhanced by small organic anions or chloride ions. To elucidate the structural basis for the cation-mediated cooperative mechanisms of these giant Hbs, we determined the crystal structures of Ca2+- and Mg2+-bound Hbs from Oligobrachia mashikoi at 1.6 and 1.7 A resolution, respectively. Both of the metal-bound structures were determined in the oxygenated state. Four Ca2+-binding sites and one Mg2+-binding site were identified in each tetramer subassembly. These cations are considered to stabilize the oxygenated form and increase affinity and cooperativity for oxygen binding, as almost all of the Ca2+ and Mg2+ cations were bound at the interface regions, forming either direct or hydrogen bond-mediated interactions with the neighboring subunits. A comparison of the structures of the oxygenated form and the partially unliganded form provides structural insight into proton-coupled cooperativity (Bohr effect) and ligand-induced transitions. Two histidine residues are assumed to be primarily associated with the Bohr effect. With regard to the ligand-induced cooperativity, a novel quaternary rotation mechanism is proposed to exist at the interface region of the dimer subassembly. Interactions among conserved residues Arg E10, His F3, Gln F7, and Val E11, together with the bending motion of the heme molecules, appear to be essential for quaternary rearrangement.     

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.     

The binding of [3H]R-PIA to A1 adenosine receptors produces a conversion of the high- to the low-affinity state

Kinetic evidence for negative cooperativity on the binding of [3H]R-PIA to A1 adenosine receptors was obtained from dissociation experiments at different ligand concentrations and from the equilibrium isotherm. The dissociation curves indicate that there is an apparent ligand-induced transformation of high- to low-affinity states of the receptor. At concentrations of 18.2 nM R-PIA or higher there was only found the low-affinity state of the receptor. In view of these results equilibrium binding data were analyzed by the usual two-state model (assuming that there is an interconversion between them) and by the negative cooperativity model employing the Hill equation.     

Allostery in very large molecular assemblies

In contrast to small allosteric systems (like hemoglobin) those containing very large numbers (n) of binding sites never exhibit cooperativity (as measured by the Hill coefficient, nH) even approaching the potential limit, n. The reason for this appears to be that in such macromolecules the cooperative unit always represents some sub-structure of the entire structure. On the other hand, it is frequently observed that such sub-structures, when isolated, do not exhibit cooperativity at all. This paper describes studies of some molluscan hemocyanins that explore this apparent anomaly. It is concluded that it is the higher order structure of the molecule that provides a framework within which the sub-structures may exhibit their allosteric behavior.     

Thermodynamic analysis of carbon monoxide binding by hemoglobin trout I.

Calorimetric measurements at 25 degrees of the differential heat of CO binding by hemoglobin trout I have been examined together with the CO binding isotherms for the protein at 4 degrees and 20 degrees. Simultaneous treatment of these data sets by a statistically rigorous technique permits evaluation of all the thermodynamic parameters for both the Adair and the Monod, Wyman, Changeux (MWC) models. The results show the details of the unusual temperature dependent cooperativity which this hemoglobin exhibits. In the Adair formalism the increasingly favorable free energy change for successive steps of ligand binding are nearly linearly paralleled by increasingly negative enthalpy changes for these steps. This causes the enhanced cooperativity observed as the temperature is decreased. For the MWC case, lowering the temperature increases the stability of the unligated T state relative to the unligated R state since the enthalpy of the T leads to R transition is 29.4 kcal mol-1. Simultaneously, the favorability of ligating R forms relative to T is enhanced since R form ligation is 14.1 kcal (mol CO)-1 more exothermic than that of T. The balance between these opposing effects is to increase ligand binding cooperativity at low temperatures. The predicted temperature dependence of the Hill coefficient for the MWC and Adair models is identical at low and intermediate temperatures, but, interestingly, would show a strong divergence at high temperatures where negative cooperativity is suggested for the Adair case and positive cooperativity for the MWC case.     

Steric factors moderate conformational fluidity and contribute to the high proton sensitivity of Root effect hemoglobins

The structural basis of the extreme pH dependence of oxygen binding to Root effect Hbs is a long-standing puzzle in the field of protein chemistry. A previously unappreciated role of steric factors in the Root effect was revealed by a comparison of pH effects on oxygenation and oxidation processes in human Hb relative to Spot (Leiostomus xanthurus) and Carp (Cyprinodon carpio) Hbs. The Root effect confers five-fold increased pH sensitivity to oxygenation of Spot and Carp Hbs relative to Hb A(0) in the absence of anionic effectors, and even larger relative elevations of pH sensitivity of oxygenation in the presence of 0.2M phosphate. Remarkably, the Root effect was not evident in the oxidation of the Root effect Hbs. This finding rules out pH-dependent alterations in the thermodynamic properties of the heme iron, measured in the anaerobic oxidation reaction, as the basis of the Root effect. The alternative explanation supported by these results is that the elevated pH sensitivity of oxygenation of Root effect Hbs is attributable to globin-dependent steric effects that alter oxygen affinity by constraining conformational fluidity, but which have little influence on electron exchange via the heme edge. This elegant mode of allosteric control can regulate oxygen affinity within a given quaternary state, in addition to modifying the T-R equilibrium. Evolution of Hb sequences that result in proton-linked steric barriers to heme oxygenation could provide a general mechanism to account for the appearance of the Root effect in the structurally diverse Hbs of many species.     

Cofactor binding to Escherichia coli D-3-phosphoglycerate dehydrogenase induces multiple conformations which alter effector binding

The inhibition of Escherichia coli d-3-phosphoglycerate dehydrogenase by l-serine is positively cooperative with a Hill coefficient of approximately 2, whereas the binding of the inhibitor, l-serine, to the apoenzyme displays positive cooperativity in the binding of the first two serine molecules and negative cooperativity in the binding of the last two serine molecules. An earlier report demonstrated that the presence of phosphate appeared to lessen the degree of both the positive and negative cooperativity, but the cause of this effect was unknown. This study demonstrates that the presence of intrinsically bound NADH was responsible to a substantial degree for this effect. In addition, this study also provides evidence for negative cooperativity in NADH binding and for at least two NADH-induced conformational forms of the enzyme that bind the inhibitor in the physiological range. Successive binding of NADH to the enzyme resulted in an increase in the affinity for the first inhibitor ligand bound and a lessening of both the positive and negative cooperativity of inhibitor binding as compared with that seen in the absence of NADH. This effect was specific for NADH and was not observed in the presence of NAD+ or the substrate alpha-ketoglutarate. Conversely, the binding of l-serine did not have a significant effect on the stoichiometry of NADH binding, consistent with it being a V-type allosteric system. Thus, cofactor-related conditions were found in equilibrium binding experiments that significantly altered the cooperativity of inhibitor binding. Since the result of inhibitor binding is a reduction in the catalytic activity, the binding of inhibitor to these NADH-induced conformers must also induce additional conformations that lead to differential inhibition of catalytic activity.     

Characterization of the hemoglobins of the neonatal brushtailed possum Trichosurus vulpecula (Kerr): evidence for a highly cooperative, aggregated isoform of hemoglobin

The red blood cells of the neonatal brushtailed possum exhibit unusually strong cooperativity at high levels of oxygen saturation (n=5.4) which appear to arise from a concentration dependent aggregation of one of the neonatal hemoglobin isoforms. Red blood cells from neonatal pouched young exhibit a Bohr factor of -0.36. Stripped hemolysate is sensitive to added 2,3-bisphosphoglycerate (BPG) (apparent binding constant K=35 micromol L(-1)) and ATP (K=180 micromol L(-1)), but is largely insensitive towards chloride ions. Five isoforms of non-adult hemoglobin were identified using isoelectric focusing. Mass spectrometry indicated that two early isoforms contain alpha chains identical to the adult alpha chain. The remaining three isoforms are composed of identical alpha type and beta type gene products, but differ in their isoelectric points due to differential post-translational modification.     

Oxygen binding by hemocyanin from Levantina hierosolima. I. Exclusion of subunit interactions as a basis for cooperativity.

The effect of oxygen on the distribution of hemocyanin from Levantina hierosolima among the three sedimenting species 20, 60, and 100 S was determined under two sets of experimental conditions: (a) at pH 7.63 in the absence of Ca2+, where oxygen binding in noncooperative; (b) at pH 8.20 in the presence of 2 x 10-3 M Ca2+, where oxygen binding is cooperative. A comparison of the results in the two cases eliminates the possibility that equilibrium between species with different oxygen affinities is responsible for the cooperative behavior. Cooperative oxygen binding was demonstrated for the 20S subunits at pH 8.80 and 1 x 10-3 M Ca2+. Under these conditions, the concentration of calcium is sufficient to affect the oxygen affinity, but the concentration of calcium plus proton is not sufficient to bring about association. The findings exclude interactions among 20S subunits as a basis for cooperativity in hemocyanin.     

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.