Generation and phenotypic characterization of Aspergillus nidulans methylisocitrate lyase deletion mutants: methylisocitrate inhibits growth and conidiation

Propionate is a very abundant carbon source in soil, and many microorganisms are able to use this as the sole carbon source. Nevertheless, propionate not only serves as a carbon source for filamentous fungi but also acts as a preservative when added to glucose containing media. To solve this contradiction between carbon source and preservative effect, propionate metabolism of Aspergillus nidulans was studied and revealed the methylcitrate cycle as the responsible pathway. Methylisocitrate lyase is one of the key enzymes of that cycle. It catalyzes the cleavage of methylisocitrate into succinate and pyruvate and completes the alpha-oxidation of propionate. Previously, methylisocitrate lyase was shown to be highly specific for the substrate (2R,3S)-2-methylisocitrate. Here, the identification of the genomic sequence of the corresponding gene and the generation of deletion mutants is reported. Deletion mutants did not grow on propionate as sole carbon and energy source and were severely inhibited during growth on alternative carbon sources, when propionate was present. The strongest inhibitory effect was observed, when glycerol was the main carbon source, followed by glucose and acetate. In addition, asexual conidiation was strongly impaired in the presence of propionate. These effects might be caused by competitive inhibition of the NADP-dependent isocitrate dehydrogenase, because the K(i) of (2R,3S)-2-methylisocitrate, the product of the methylcitrate cycle, on NADP-dependent isocitrate dehydrogenase was determined as 1.55 microM. Other isomers had no effect on enzymatic activity. Therefore, methylisocitrate was identified as a potential toxic compound for cellular metabolism.     

Gene acquisition, duplication and metabolic specification: the evolution of fungal methylisocitrate lyases

Gene duplication represents an evolutionary mechanism for expanding metabolic potential. Here we analysed the evolutionary relatedness of isocitrate and methylisocitrate lyases, which are key enzymes of the glyoxylate and methylcitrate cycle respectively. Phylogenetic analyses imply that ancient eukaryotes acquired an isocitrate lyase gene from a prokaryotic source, but it was lost in some eukaryotic lineages. However, protists, oomycetes and most fungi maintained this gene and successfully integrated the corresponding enzyme into the glyoxylate cycle. A second gene, encoding a highly related enzyme, is present in fungi, but absent from other eukaryotes. This methylisocitrate lyase is specifically involved in propionyl-CoA degradation via the methylcitrate cycle. Although bacteria possess methylisocitrate lyases with a structural fold similar to that of isocitrate lyases, their sequence identity to fungal methylisocitrate lyases is low. Phylogenetic analyses imply that fungal methylisocitrate lyases arose from gene duplication of an ancient isocitrate lyase gene from the basidiomycete lineage. Mutagenesis of active-site residues of a bacterial and fungal isocitrate lyase, which have been predicted to direct the substrate specificity of iso- and methylisocitrate lyases, experimentally confirmed the possibility of direct evolution of methylisocitrate lyases from isocitrate lyases. Thus, gene duplication has increased the metabolic capacity of fungi.     

Regulation of Enzyme Synthesis of the Glyoxylate,the Citric Acid,and the Methylcitric Acid Cycles in Candida lipolytica

Syntheses of the key enzymes of the glyoxylate cycle, in Candida lipolytica, were highly repressed by glucose. Syntheses of the key enzymes of the methylcitric acid cycle were also slightly repressed by glucose but the degrees of repression in the syntheses of these enzymes were nearly equal to those of repression in the syntheses of several enzymes of the citric acid cycle. All enzyme syntheses repressed by glucose were derepressed during incubation with succinate as well as with n-alkanes: enzyme syntheses of the methylcitric acid cycle did not necessitate the addition of propionate or odd-carbon n-alkanes. The enzymes of the methylcitric acid cycle seem to be constitutive, similarly as those of the citric acid cycle.

In the parent strain, the respective enzyme levels of the cells grown on an odd-numbered n-alkane were similar to those of the cells grown on an even-numbered n-alkane. But in the mutant strain lacking 2-methylisocitrate lyase, the cells grown on the odd-numbered alkane contained aconitate hydratase, NADP-Iinked isocitrate dehydrogenase, isocitrate lyase, 2- methylcitrate synthase and 2-methylaconitate hydratase all at higher levels than the cells grown on the even-numbered alkane. Both the parent cells and the mutant cells grown on the same carbon source contained at individually similar levels of the following six enzymes; citrate synthase, NAD-linked isocitrate dehydrogenase, succinate dehydrogenase, fumarate hydratase, malate dehydrogenase, and malate synthase. The pleiotropic changes of enzyme activities in the mutant cells grown on the odd-numbered alkane seem to be ascribable to direct or indirect stimulation caused by threo-d_s-2-methylisocitric acid accumulation.     

2-Methylisocitrate lyases from the bacterium Escherichia coli and the filamentous fungus Aspergillus nidulans: characterization and comparison of both enzymes.

In Escherichia coli and Aspergillus nidulans, propionate is oxidized to pyruvate via the methylcitrate cycle. The last step of this cycle, the cleavage of 2-methylisocitrate to succinate and pyruvate is catalysed by 2-methylisocitrate lyase. The enzymes from both organisms were assayed with chemically synthesized threo-2-methylisocitrate; the erythro-diastereomer was not active. 2-Methylisocitrate lyase from E. coli corresponds to the PrpB protein of the prp operon involved in propionate oxidation. The purified enzyme has a molecular mass of approximately 32 kDa per subunit, which is lower than those of isocitrate lyases from bacterial sources ( approximately 48 kDa). 2-Methylisocitrate lyase from A. nidulans shows an apparent molecular mass of 66 kDa per subunit, almost equal to that of isocitrate lyase of the same organism. Both 2-methylisocitrate lyases have a native homotetrameric structure as identified by size-exclusion chromatography. The enzymes show no measurable activity with isocitrate. Starting from 250 mM pyruvate, 150 mM succinate and 10 microM PrpB, the enzymatically active stereoisomer could be synthesized in 1% yield. As revealed by chiral HPLC, the product consisted of a single enantiomer. This isomer is cleaved by 2-methylisocitrate lyases from A. nidulans and E. coli. The PrpB protein reacted with stoichiometric amounts of 3-bromopyruvate whereby the activity was lost and one amino-acid residue per subunit became modified, most likely a cysteine as shown for isocitrate lyase of E. coli. PrpB exhibits 34% sequence identity with carboxyphosphoenolpyruvate phosphonomutase from Streptomyces hygroscopicus, in which the essential cysteine residue is conserved.     

Crystal structure of 2-methylisocitrate lyase (PrpB) from Escherichia coli and modelling of its ligand bound active centre

Following acetate, propionate is the second most abundant low molecular mass carbon compound found in soil. Many microorganisms, including most, if not all fungi, as well as several aerobic bacteria, such as Escherichia coli and Salmonella enterica oxidize propionate via the methylcitrate cycle. The enzyme 2-methylisocitrate lyase (PrpB) from Escherichia coli catalysing the last step of this cycle, the cleavage of 2-methylisocitrate to pyruvate and succinate, was crystallised and its structure determined to a resolution of 1.9A. The enzyme, which strictly depends on Mg(2+) for catalysis, belongs to the isocitrate lyase protein family. A common feature of members of this enzyme family is the movement of a so-called "active site loop" from an open into a closed conformation upon substrate binding thus shielding the reactants from the surrounding solvent. Since in the presented structure, PrpB contains, apart from a Mg(2+), no ligand, the active site loop is found in an open conformation. This conformation, however, differs significantly from the open conformation present in the so far known structures of ligand-free isocitrate lyases. A possible impact of this observation with respect to the different responses of isocitrate lyases and PrpB upon treatment with the common inhibitor 3-bromopyruvate is discussed. Based on the structure of ligand-bound isocitrate lyase from Mycobacterium tuberculosis a model of the substrate-bound PrpB enzyme in its closed conformation was created which provides hints towards the substrate specificity of this enzyme.     

Role of the methylcitrate cycle in Mycobacterium tuberculosis metabolism, intracellular growth, and virulence

Growth of bacteria and fungi on fatty acid substrates requires the catabolic beta-oxidation cycle and the anaplerotic glyoxylate cycle. Propionyl-CoA generated by beta-oxidation of odd-chain fatty acids is metabolized via the methylcitrate cycle. Mycobacterium tuberculosis possesses homologues of methylcitrate synthase (MCS) and methylcitrate dehydratase (MCD) but not 2-methylisocitrate lyase (MCL). Although MCLs share limited homology with isocitrate lyases (ICLs) of the glyoxylate cycle, these enzymes are thought to be functionally non-overlapping. Previously we reported that the M. tuberculosis ICL isoforms 1 and 2 are jointly required for growth on fatty acids, in macrophages, and in mice. ICL-deficient bacteria could not grow on propionate, suggesting that in M. tuberculosis ICL1 and ICL2 might function as ICLs in the glyoxylate cycle and as MCLs in the methylcitrate cycle. Here we provide biochemical and genetic evidence supporting this interpretation. The role of the methylcitrate cycle in M. tuberculosis metabolism was further evaluated by constructing a mutant strain in which prpC (encoding MCS) and prpD (encoding MCD) were deleted. The DeltaprpDC strain could not grow on propionate media in vitro or in murine bone marrow-derived macrophages infected ex vivo; growth under these conditions was restored by complementation with a plasmid containing prpDC. Paradoxically, bacterial growth and persistence, and tissue pathology, were indistinguishable in mice infected with wild-type or DeltaprpDC bacteria.     

Dual role of isocitrate lyase 1 in the glyoxylate and methylcitrate cycles in Mycobacterium tuberculosis

The role of isocitrate lyase (ICL) in the glyoxylate cycle and its necessity for persistence and virulence of Mycobacterium tuberculosis has been well described. Recent reports have alluded to an additional role for this enzyme in M. tuberculosis metabolism, specifically for growth on propionate. A product of beta-oxidation of odd-chain fatty acids is propionyl-CoA. Clearance of propionyl-CoA and the by-products of its metabolism via the methylcitrate cycle is vital due to their potentially toxic effects. Although the genome of M. tuberculosis encodes orthologues of two of the three enzymes of the methylcitrate cycle, methylcitrate synthase and methylcitrate dehydratase, it does not appear to contain a distinct 2-methylisocitrate lyase (MCL). Detailed structural analysis of the MCL from Escherichia coli suggested that the differences in substrate specificity between MCLs and ICLs could be attributed to three conserved amino acid substitutions in the active site, suggesting an MCL signature. However, here we provide enzymatic evidence that shows that despite the absence of the MCL signature, ICL1 from M. tuberculosis can clearly function as a MCL. Furthermore, the crystal structure of ICL1 with pyruvate and succinate bound demonstrates that the active site can accommodate the additional methyl group without significant changes to the structure.     

Oxidation of propionate to pyruvate in Escherichia coli. Involvement of methylcitrate dehydratase and aconitase.

The pathway of the oxidation of propionate to pyruvate in Escherichia coli involves five enzymes, only two of which, methylcitrate synthase and 2-methylisocitrate lyase, have been thoroughly characterized. Here we report that the isomerization of (2S,3S)-methylcitrate to (2R,3S)-2-methylisocitrate requires a novel enzyme, methylcitrate dehydratase (PrpD), and the well-known enzyme, aconitase (AcnB), of the tricarboxylic acid cycle. AcnB was purified as 2-methylaconitate hydratase from E. coli cells grown on propionate and identified by its N-terminus. The enzyme has an apparent Km of 210 micro m for (2R,3S)-2-methylisocitrate but shows no activity with (2S,3S)-methylcitrate. On the other hand, PrpD is specific for (2S,3S)-methylcitrate (Km = 440 micro m) and catalyses in addition only the hydration of cis-aconitate at a rate that is five times lower. The product of the dehydration of enzymatically synthesized (2S,3S)-methylcitrate was designated cis-2-methylaconitate because of its ability to form a cyclic anhydride at low pH. Hence, PrpD catalyses an unusual syn elimination, whereas the addition of water to cis-2-methylaconitate occurs in the usual anti manner. The different stereochemistries of the elimination and addition of water may be the reason for the requirement for the novel methylcitrate dehydratase (PrpD), the sequence of which seems not to be related to any other enzyme of known function. Northern-blot experiments showed expression of acnB under all conditions tested, whereas the RNA of enzymes of the prp operon (PrpE, a propionyl-CoA synthetase, and PrpD) was exclusively present during growth on propionate. 2D gel electrophoresis showed the production of all proteins encoded by the prp operon during growth on propionate as sole carbon and energy source, except PrpE, which seems to be replaced by acetyl-CoA synthetase. This is in good agreement with investigations on Salmonella enterica LT2, in which disruption of the prpE gene showed no visible phenotype.     

Methylcitrate synthase from Aspergillus fumigatus. Propionyl-CoA affects polyketide synthesis, growth and morphology of conidia

Methylcitrate synthase is a key enzyme of the methylcitrate cycle and required for fungal propionate degradation. Propionate not only serves as a carbon source, but also acts as a food preservative (E280-283) and possesses a negative effect on polyketide synthesis. To investigate propionate metabolism from the opportunistic human pathogenic fungus Aspergillus fumigatus, methylcitrate synthase was purified to homogeneity and characterized. The purified enzyme displayed both, citrate and methylcitrate synthase activity and showed similar characteristics to the corresponding enzyme from Aspergillus nidulans. The coding region of the A. fumigatus enzyme was identified and a deletion strain was constructed for phenotypic analysis. The deletion resulted in an inability to grow on propionate as the sole carbon source. A strong reduction of growth rate and spore colour formation on media containing both, glucose and propionate was observed, which was coincident with an accumulation of propionyl-CoA. Similarly, the use of valine, isoleucine and methionine as nitrogen sources, which yield propionyl-CoA upon degradation, inhibited growth and polyketide production. These effects are due to a direct inhibition of the pyruvate dehydrogenase complex and blockage of polyketide synthesis by propionyl-CoA. The surface of conidia was studied by electron scanning microscopy and revealed a correlation between spore colour and ornamentation of the conidial surface. In addition, a methylcitrate synthase deletion led to an attenuation of virulence, when tested in an insect infection model and attenuation was even more pronounced, when whitish conidia from glucose/propionate medium were applied. Therefore, an impact of methylcitrate synthase in the infection process is discussed.     

Metabolic Role, Regulation of Synthesis, Cellular Localization, and Genetic Control of the Glyoxylate Cycle Enzymes in Neurospora crassa

The glyoxylate shunt enzymes, isocitrate lyase and malate synthase, were present at high levels in mycelium grown on acetate as sole source of carbon, compared with mycelium grown on sucrose medium. The glyoxylate shunt activities were also elevated in mycelium grown on glutamate or Casamino Acids as sole source of carbon, and in amino acid-requiring auxotrophic mutants grown in sucrose medium containing limiting amounts of their required amino acid. Under conditions of enhanced catabolite repression in mutants grown in sucrose medium but starved of Krebs cycle intermediates, isocitrate lyase and malate synthase levels were derepressed compared with the levels in wild type grown on sucrose medium. This derepression did not occur in related mutants in which Krebs cycle intermediates were limiting growth but catabolite repression was not enhanced. No Krebs cycle intermediate tested produced an efficient repression of isocitrate lyase activity in acetate medium. Of the two forms of isocitrate lyase in Neurospora, isocitrate lyase-1 constituted over 80% of the isocitrate lyase activity in acetate-grown wild type and also in each of the cases already outlined in which the glyoxylate shunt activities were elevated on sucrose medium. On the basis of these results, it is concluded that the synthesis of isocitrate lyase-1 and malate synthase in Neurospora is regulated by a glycolytic intermediate or derivative. Our data suggest that isocitrate lyase-1 and isocitrate lyase-2 are the products of different structural genes. The metabolic roles of the two forms of isocitrate lyase and of the glyoxylate cycle are discussed on the basis of their metabolic control and intracellular localization.     

Functional characterization of a vitamin B12-dependent methylmalonyl pathway in Mycobacterium tuberculosis: implications for propionate metabolism during growth on fatty acids

Mycobacterium tuberculosis is predicted to subsist on alternative carbon sources during persistence within the human host. Catabolism of odd- and branched-chain fatty acids, branched-chain amino acids, and cholesterol generates propionyl-coenzyme A (CoA) as a terminal, three-carbon (C(3)) product. Propionate constitutes a key precursor in lipid biosynthesis but is toxic if accumulated, potentially implicating its metabolism in M. tuberculosis pathogenesis. In addition to the well-characterized methylcitrate cycle, the M. tuberculosis genome contains a complete methylmalonyl pathway, including a mutAB-encoded methylmalonyl-CoA mutase (MCM) that requires a vitamin B(12)-derived cofactor for activity. Here, we demonstrate the ability of M. tuberculosis to utilize propionate as the sole carbon source in the absence of a functional methylcitrate cycle, provided that vitamin B(12) is supplied exogenously. We show that this ability is dependent on mutAB and, furthermore, that an active methylmalonyl pathway allows the bypass of the glyoxylate cycle during growth on propionate in vitro. Importantly, although the glyoxylate and methylcitrate cycles supported robust growth of M. tuberculosis on the C(17) fatty acid heptadecanoate, growth on valerate (C(5)) was significantly enhanced through vitamin B(12) supplementation. Moreover, both wild-type and methylcitrate cycle mutant strains grew on B(12)-supplemented valerate in the presence of 3-nitropropionate, an inhibitor of the glyoxylate cycle enzyme isocitrate lyase, indicating an anaplerotic role for the methylmalonyl pathway. The demonstrated functionality of MCM reinforces the potential relevance of vitamin B(12) to mycobacterial pathogenesis and suggests that vitamin B(12) availability in vivo might resolve the paradoxical dispensability of the methylcitrate cycle for the growth and persistence of M. tuberculosis in mice.     

Initial steps of sophoroselipid biosynthesis by Candida bombicola ATCC 22214 grown on glucose

 Candida bombicola ATCC 22214 produces the glycolipid sophoroselipid when cultivated on a medium with glucose as the sole carbon source. Under phosphate-limiting conditions the product yield rises from 0.033 to 0.143 and the specific product formation rate rises from 0.004 h^-1 to 0.007 h^-1. Enhanced sophoroselipid synthesis is initiated by the decline of the specific activities of NAD- and NADP-dependent isocitrate dehydrogenase (EC 1.1.1.41 and 1.1.1.42) to 2% and 0% of the initial activities respectively. Constantly high specific activity of citrate synthase (EC 4.1.3.7) causes an accumulation of isocitrate and citrate in the mitochondria. Both acids are transported into the cytosol where citrate is cleaved by ATP: citrate lyase (EC 4.1.3.8) giving rise to acetyl-CoA, the precursor of fatty acid synthesis. The ATP: citrate lyase is unaffected by different energy charges; the apparent K _m values for coenzyme A, ATP and citrate are 23 μM, 250 μM and 256 μM respectively. NADPH for fatty acid synthesis might be generated by further metabolism of oxaloacetate, the other product of the citrate-cleaving reaction, by oxidation of the isocitrate by the cytosolic NADP-dependent isocitrate dehydrogenase or via the hexose monophosphate shunt. A possible explanation for sophoroselipid formation during exponential growth is given. Received: 7 November 1995/Received revision: 19 March 1996/Accepted: 25 March 1996     

The 2‐methylcitrate cycle is implicated in the detoxification of propionate in Toxoplasma gondii

Toxoplasma gondii belongs to the coccidian subgroup of the Apicomplexa phylum. The Coccidia are obligate intracellular pathogens that establish infection in their mammalian host via the enteric route. These parasites lack a mitochondrial pyruvate dehydrogenase complex but have preserved the degradation of branched‐chain amino acids (BCAA) as a possible pathway to generate acetyl‐CoA. Importantly, degradation of leucine, isoleucine and valine could lead to concomitant accumulation of propionyl‐CoA, a toxic metabolite that inhibits cell growth. Like fungi and bacteria, the Coccidia possess the complete set of enzymes necessary to metabolize and detoxify propionate by oxidation to pyruvate via the 2‐methylcitrate cycle (2‐MCC). Phylogenetic analysis provides evidence that the 2‐MCC was acquired via horizontal gene transfer. In T. gondii tachyzoites, this pathway is split between the cytosol and the mitochondrion. Although the rate‐limiting enzyme 2‐methylisocitrate lyase is dispensable for parasite survival, its substrates accumulate in parasites deficient in the enzyme and its absence confers increased sensitivity to propionic acid. BCAA is also dispensable in tachyzoites, leaving unresolved the source of mitochondrial acetyl‐CoA.     

Propionate oxidation in Escherichia coli: evidence for operation of a methylcitrate cycle in bacteria

Escherichia coli grew in a minimal medium on propionate as the sole carbon and energy source. Initially a lag phase of 4–7 days was observed. Cells adapted to propionate still required 1–2 days before growth commenced. Incorporation of (2-¹³C), (3-¹³C) or (²H₃)propionate into alanine revealed by NMR that propionate was oxidized to pyruvate without randomisation of the carbon skeleton and excluded pathways in which the methyl group was transiently converted to a methylene group. Extracts of propionate-grown cells contained a specific enzyme that catalyses the condensation of propionyl-CoA with oxaloacetate, most probably to methylcitrate. The enzyme was purified and identified as the already-known citrate synthase II. By 2-D gel electrophoresis, the formation of a second propionate-specific enzyme with sequence similarities to isocitrate lyases was detected. The genes of both enzymes were located in a putative operon with high identities (at least 76% on the protein level) with the very recently discovered prp operon from Salmonella typhimurium. The results indicate that E. coli oxidises propionate to pyruvate via the methylcitrate cycle known from yeast. The ¹³C patterns of aspartate and glutamate are consistent with the further oxidation of pyruvate to acetyl-CoA. Oxaloacetate is predominantly generated via the glyoxylate cycle rather than by carboxylation of phosphoenolpyruvate. Received: 28 April 1997 / Accepted: 4 July 1997     

Regulation of isocitrate lyase inRhodobacter capsulatus E1F1

InRhodobacter capsulatus E1F1, isocitrate lyase (ICL) (EC 4.5.3.1) is a regulatory enzyme whose levels are increased in the presence of acetate as the sole carbon source. Acetate activated isocitrate lyase in a process dependent on energy supply and de novo protein synthesis. In contrast to isocitrate lyase, isocitrate dehydrogenase (ICDH) activity was independent of the carbon source used for growth and significantly increased in darkened cells. Pyruvate or yeast extract prevented in vivo activation of isocitrate lyase in cells growing on acetate. The enzyme was reversibly inactivated to a great extent in vitro by pyruvate and other oxoacids presumably involved in acetate metabolism. These results suggest that, inR. capsulatus E1F1, isocitrate lyase is regulated by both enzyme synthesis and oxoacid inactivation.     

Metabolism of C2 compounds inAcetobacter aceti

The presence of isocitrate lyase and malate synthase was detected in cell-free extracts ofAcetobacter aceti, grown in a mineral medium with acetate as sole carbon source. The presence of these enzymes explains the ability of this strain to grow with ethanol or acetate as sole carbon source, which is an important characteristic in Frateur's classification system forAcetobacter. In addition to isocitrate lyase and malate synthase, these cell-free extracts were found to contain glyoxylate carboligase, tartronicsemialdehyde reductase and glycerate kinase. The induction of these enzymes during growth on acetate is thought to be caused by the very high activity of isocitrate lyase, which may lead to an accumulation of glyoxylate. The importance of this pathway in cells growing with acetate as sole carbon source for the synthesis of their carbohydrate components is discussed. The presence of the enzymes from the pathway from glyoxylate to 3-phosphoglycerate explains the ability of this strain to grow with ethyleneglycol and glycollate as sole carbon source.     

Enzyme patterns during substrate shifts between phenol,acetate and glucose in continuous culture of Trichosporon cutaneum

Summary The soil yeast Trichosporon cutaneum was grown in continuous culture on phenol, acetate or glucose as sole carbon source. The activities of enzymes participating in the tricarboxylic acid cycle, glyoxylate cycle, 3-oxoadipate pathway, pentose phosphate pathway and glycolysis were determined in situ during shifts of carbon sources. Cells grown on phenol or glucose contained basal activity of the glyoxylate-cycle-specific isocitrate lyase. The derepression of the glyoxylate cycle enzymes was partly hindered in the presence of phenol but not in the presence of low levels of glucose. Phenol and glucose caused repression of isocitrate lyase. In the presence of either phenol or glucose, acetate accumulation in the medium increased. However, part of the supplied acetate was utilized simultaneously with phenol or glucose, the utilization rate of either carbon source being reduced in the presence of the other carbon source. Acetate caused repression but not inactivation of the phenol-degrading enzymes, phenol hydroxylase and catechol 1,2-dioxygenase. The simultaneous utilization of phenol and other carbon sources in continuous culture as well as the observed repression-derepression patterns of the involved enzymes reveal T. cutaneum to be an organism of interest for possible use in decontamination processes. Offprint requests to: H. Y. Neujahr Offprint requests to: H. Y. Neujahr