Inorganic polyphosphate in the yeast <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> with a mutation disturbing the function of vacuolar ATPase

A mutation in the vma2 gene disturbing V-ATPase function in the yeast Saccharomyces cerevisiae results in a five- and threefold decrease in inorganic polyphosphate content in the stationary and active phases of growth on glucose, respectively. The average polyphosphate chain length in the mutant cells is decreased. The mutation does not prevent polyphosphate utilization during cultivation in a phosphate-deficient medium and recovery of its level on reinoculation in complete medium after phosphate deficiency. The content of short chain acid-soluble polyphosphates is recovered first. It is supposed that these polyphosphates are less dependent on the electrochemical gradient on the vacuolar membrane.     

Novel method for the quantification of inorganic polyphosphate (iPoP) in <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> shows dependence of iPoP content on the growth phase

Inorganic polyphosphate (iPoP)—linear chains of up to hundreds of phosphate residues—is ubiquitous in nature and appears to be involved in many different cellular processes. In Saccharomyces cerevisiae, iPoP has been detected in high concentrations, especially after transfer of phosphate-deprived cells to a high-phosphate medium. Here, the dynamics of iPoP synthesis in yeast as a function of the growth phase as well as glucose and phosphate availability have been investigated. To address this question, a simple, fast and novel method for the quantification of iPoP from yeast was developed. Both the iPoP content during growth and the iPoP “overplus” were highest towards the end of the exponential phase, when glucose became limiting. Accumulation of iPoP during growth required excess of free phosphate, while the iPoP “overplus” was only observed after the shift from low- to high-phosphate medium. The newly developed iPoP quantification method and the knowledge about the dynamics of iPoP content during growth made it possible to define specific growth conditions for the analysis of iPoP levels. These experimental procedures will be essential for the large-scale analysis of various mutant strains or the comparison of different growth conditions.     

<Superscript>31</Superscript>P NMR study of polyphosphate levels during different growth phases of <Emphasis Type="Italic">Phycomyces blakesleeanus</Emphasis>

The changes in relative polyphosphate content, estimated as the intensity ratio of core polyphosphate signal and intracellular inorganic phosphate signal from ³¹P NMR spectra, during the growth of Phycomyces blakesleeanus are reported. The ratio increases from 16 h to 28 h of growth, the minimum occurs at 32 h, followed by sharp increase up to 36 h, and a steady decrease afterwards. The changes in the biomass during mycelium growth showed steady increases, with a stagnation period between 32 h and 36 h during which a pronounced increase in the intensity ratio of core polyphosphates to intracellular inorganic phosphate signal occurred. The reduction of growth temperature from 22°C to 18°C significantly decreased the rate and intensity of growth, but the pattern of polyphosphate changes remained unchanged. The changes of the intensity ratio of core polyphosphates to intracellular inorganic phosphate signal are linked to characteristic stages of sporangiophore development. Analysis of core polyphosphates, intracellular inorganic phosphate and β-ATP signal intensities suggest the role of polyphosphates as an energy and/or a phosphate reserves during Phycomyces development.     

Inorganic polyphosphates and phosphohydrolases inHalobacterium salinarium

Halobacterium salinarium grown in a liquid medium consumed up to 75% of phosphates originally present in the growth medium and accumulated up to 100 μmol P_i/g wet biomass by the time it entered the growth retardation phase. The content of acid-soluble oligophosphates in the biomass was maximum at the early stage of active growth and drastically decreased when cells reached the growth-retardation phase. The total content of alkali-soluble and acid-insoluble polyphosphates changed very little throughout the cultivation period (five days). The polyphosphate content ofH. salinarium cells was close to that of yeasts and eubacteria. The pyrophosphatase, polyphosphatase, and nonspecific phosphatase activities ofH. salinarium cells were several times lower than those of the majority of eubacteria. The specific activity of pyrophosphatase, the most active hydrolase ofH. salinarium, gradually increased during cultivation, reaching 540 mU/mg protein by the end of the cultivation period. Half of the total pyrophosphatase activity of this halobacterium was localized in the cytosol. The molecular weight of pyrophosphatase, evaluated by gel filtration, was 86 kDa. The effective K_m of this enzyme with respect to pyrophosphate was 115 μM.     

P-31 in-vivo NMR investigation on the function of polyphosphates as phosphate-and energysource during the regreening of the green alga Chlorella fusca

The green alga Chlorella fusca accumulates polyphosphates under conditions of nitrogen starvation while deassembling the photosynthetic apparatus. The polyphosphate content of cells regreening after resupply with nitrate under different culture conditions was investigated by P-31 in-vivo NMR spectroscopy. Neither phosphate deficiency nor anaerobiosis during the first hours of regreening inhibited the recovery of the cells. Polyphosphates were degraded during regeening. Differences in the amount of polyphosphates of phosphate supplied and deficient cells occurred only after more then 8 h. After 16 h phosphate deficient cells had still 75% of the polyphosphate content of phosphate suppled cells. In cells kept under anaerobic conditions polyphosphate degradation was much higher than in oxygen supplied cells. After 8 h they contained less than 50% of the polyphosphate content of oxygen supplied cells. These data suggest that polyphosphates serve as obligatory phosphate source during regreening and may be used as an energy source.Non standard abbreviations EDTA Ethylene diamine tetraacetic acid - FID Free induction decay - MOPSO 3-(N-morpholine)-2-hydroxy-propanesulfonic acid - NMR Nuclear magnetic resonance - PP Polyphosphates - PP₄ central phosphate groups of polyphosphates     

Inorganic Polyphosphates and Exopolyphosphatases in Cell Compartments of the Yeast Saccharomyces cerevisiae Under Inactivation of PPX1 and PPN1 Genes

Purified fractions of cytosol, vacuoles, nuclei, and mitochondria of Saccharomyces cerevisiae possessed inorganic polyphosphates with chain lengths characteristic of each individual compartment. The most part (80–90%) of the total polyphosphate level was found in the cytosol fractions. Inactivation of a PPX1 gene encoding ~40-kDa exopolyphosphatase substantially decreased exopolyphosphatase activities only in the cytosol and soluble mitochondrial fraction, the compartments where PPX1 activity was localized. This inactivation slightly increased the levels of polyphosphates in the cytosol and vacuoles and had no effect on polyphosphate chain lengths in all compartments. Exopolyphosphatase activities in all yeast compartments under study critically depended on the PPN1 gene encoding an endopolyphosphatase. In the single PPN1 mutant, a considerable decrease of exopolyphosphatase activity was observed in all the compartments under study. Inactivation of PPN1 decreased the polyphosphate level in the cytosol 1.4-fold and increased it 2- and 2.5-fold in mitochondria and vacuoles, respectively. This inactivation was accompanied by polyphosphate chain elongation. In nuclei, this mutation had no effect on polyphosphate level and chain length as compared with the parent strain CRY. In the double mutant of PPX1 and PPN1, no exopolyphosphatase activity was detected in the cytosol, nuclei, and mitochondria and further elongation of polyphosphates was observed in all compartments.     

Inorganic polyphosphates and sensitivity of <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> cells to membrane-damaging agents

The leakage of ATP and potassium ions from the cells of Saccharomyces cerevisiae with different levels of inorganic polyphosphate was studied under the action of two detergents (natural cellobiose lipid 16-[6-O-acetyl-2′-O-(3-hydroxyhexanoyl)-β-cellobiosyloxy)-2,15-dihydroxyhexadecanoic acid and sodium dodecyl sulfate) and silver cations. Cellobiose lipid had practically the same membrane-damaging activity against the cells grown in phosphate-containing medium, under phosphate starvation, and under polyphosphate hypercompensation. The cells grown under the latter conditions were less sensitive to sodium dodecyl sulfate and silver cations. The possible protective action of polyphosphates against the membrane-damaging agents under study is discussed.     

Phosphate accumulation of <Emphasis Type="Italic">Acetobacter xylinum</Emphasis>

The cells of Acetobacter xylinum decreased phosphate concentration in the medium from 5 to 2.5 or 0.3 mM during incubation in the presence of Mg²⁺ and glucose, or Mg²⁺ and casamino acids, respectively. The prevalence of orthophosphate or polyphosphate in the biomass of A. xylinum depends on the medium composition. Under phosphate uptake in the presence of glucose, the content of orthophosphate in the biomass changed little, while that of polyphosphate increased fourfold. At incubation with casamino acids, the content of orthophosphate increased 15 times, while that of polyphosphate increased only 2.5 times. Some part of orthophosphate in this case seems to be bound with the cell surface. The polyphosphate chain length in the cells of A. xylinim increases under phosphate uptake. This increase is more noticeable in the presence of glucose. Casamino acids can be replaced by α-ketoglutaric acid in combination with (NH₄)₂SO₄, or arginine, or glutamine, the catabolism of which results in formation of NH₄ ⁺ and α-ketoglutarate.     

Polyphosphate glucokinase from Propionibacterium shermanii. Kinetics and demonstration that the mechanism involves both processive and nonprocessive type reactions

Polyphosphate glucokinase (EC 2.7.1.63, polyphosphate glucose phosphotransferase) has been partially purified (960-fold) from Propionibacterium shermanii. Throughout the purification, the ratio of polyphosphate glucokinase activity to ATP glucokinase activity remained approximately constant at 4 to 1. It is considered that both activities are catalyzed by the same protein. The mechanism of utilization of polyphosphate by polyphosphate glucokinase was investigated using polyphosphates of limited sizes that were isolated following gel electrophoresis of commercial heterogeneous polyphosphates. The results show that with long chain polyphosphates, the reaction proceeds by a processive type mechanism, and with short polyphosphates, it is nonprocessive. The Km for polyphosphate of chain length 724 is 2 X 10(-3) microM and increases with a decrease in chain length to 3.7 X 10(-2) microM at chain length 138. Subsequently, there is a very rapid increase of Km and at chain length 30 the Km is 4.3 microM. The rapid change in Km coincides with the shift in mechanism from the processive type mechanism in which there apparently is successive phosphorylation prior to release from the enzyme to a nonprocessive process in which the polyphosphate is released from the enzyme after each transfer. During the nonprocessive process, there is preferential utilization of the longer species. The Vmax is relatively constant with shorter polyphosphates but decreases with chain lengths longer than 347. In the cell, as a consequence of the low Km, the long chain polyphosphates probably are used preferentially to phosphorylate glucose.     

Effect of <Emphasis Type="Italic">m</Emphasis>-carbonyl cyanide 3-chlorophenylhydrazone on inorganic polyphosphates synthesis in <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> under different growth conditions

The effects of different concentrations of the protonophore uncoupler m-carbonyl cyanide 3-hchlorophenylhydrazone (CCCP) on the synthesis of inorganic polyphosphates (polyP) during the first 0.5 h of hypercompensation in the yeast Saccharomyces cerevisiae VKM Y-1173 growing on media with 2% glucose under low (hypoxia) or high aeration or with 1% (vol/vol) ethanol under high aeration were studied. It was shown that the yeast growth on ethanol was completely inhibited by 5 μM CCCP, while growth on glucose was inhibited by 25 μM CCCP, independently of aeration of the medium. The maximum rate of H2 absorption was shown at 2, 5, and 25 μM CCCP for the cells grown on ethanol, on glucose under high aeration, and on glucose under hypoxia, respectively. Against the decrease of total ATP level and total polyP, CCCP had a nonuniform effect on the synthesis of individual polyP fractions. CCCP maximally inhibited synthesis of the most actively formed fractions: polyPI during growth on glucose under hypoxia, polyPIII during growth on glucose under aeration, and polyPIII and polyPV during growth on ethanol. CCCP had no substantial effect on the synthesis of polyPII and polyPIV fractions, the formation of which seems to be less related to the electrochemical potential gradient of H⁺ ions.     

External Iron Regulates Polyphosphate Content in the Acidophilic, Thermophilic Alga Cyanidium caldarium

Transmission electron microscopy revealed the presence of electron-dense bodies (EDB) in the cytosol of the acidophilic, thermophilic red alga Cyanidium caldarium. These bodies contain almost exclusively Fe, P, and O and can play a role in Fe storage. ³¹P-nuclear magnetic resonance analysis identified a sharp signal at −23.3 ppm, which was attributed to the phosphate groups of the inner portions of polyphosphate chains. From this evidence, as well as that of a previous ESR study (Nagasaka et al., BioMetals 16:465–470, 2003), it can be concluded that polyphosphates are the major anionic constituents of the EDB. Omission of Fe from the culture medium resulted in substantially decreased polyphosphate levels, demonstrating the control of cellular polyphosphate content by the Fe status of the culture medium.     

Accumulation of inorganic polyphosphates in <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> under nitrogen deprivation: Stimulation by magnesium ions and peculiarities of localization

The yeast Saccharomyces cerevisiae was shown to have a high potential as a phosphate-accumulating organism under growth suppression by nitrogen limitation. The cells took up over 40% of phosphate from the medium containing 30 mM glucose and 5 mM potassium phosphate and over 80% of phosphate on addition of 5 mM magnesium sulfate. The major part of accumulated Pi was reserved as polyphosphates. The content of polyphosphates was ∼57 and ∼75% of the phosphate accumulated by the cells in the absence and presence of magnesium ions, respectively. The content of long-chain polyphosphates increased in the presence of magnesium ions, 5-fold for polymers with the average length of ∼45 phosphate residues, 3.7-fold for polymers with the average chain length of ∼75 residues, and more than 10-fold for polymers with the average chain length of ∼200 residues. On the contrary, the content of polyphosphates with the average chain length of ∼15 phosphate residues decreased threefold. According to the data of electron and confocal microscopy and X-ray microanalysis, the accumulated polyphosphates were localized in the cytoplasm and vacuoles. The cytoplasm of the cells accumulating polyphosphates in the presence of magnesium ions had numerous small phosphorus-containing inclusions; some of them were associated with large electron-transparent inclusions and the cytoplasmic membrane.     

Inorganic polyphosphates and phosphohydrolases from Halobacterium salinarium

Halobacterium salinarium grown in a liquid medium consumed up to 75% of phosphates originally present in the growth medium and accumulated up to 100 mumol Pi/g wet biomass by the time it entered the growth retardation phase. The content of acid-soluble oligophosphates in the biomass was maximum at the early stage of active growth and drastically decreased when cells reached the growth-retardation phase. The total content of alkali-soluble and acid-insoluble polyphosphates changed very little throughout the cultivation period (five days). The polyphosphate content of H. salinarium cells was close to that of yeasts and eubacteria. The pyrophosphatase, polyphosphatase, and nonspecific phosphatase activities of H. salinarium cells were several times lower than those of the majority of eubacteria. The specific activity of pyrophosphatase, the most active hydrolase of H. salinarium, gradually increased during cultivation, reaching 540 mU/mg protein by the end of the cultivation period. Half of the total pyrophosphatase activity of this halobacterium was localized in the cytosol. The molecular weight of pyrophosphatase, evaluated by gel filtration, was 86 kDa. The effective Km of this enzyme with respect to pyrophosphate was 115 microM.     

Role of ATP-glucokinase and polyphosphate glucokinase inStreptomyces aureofaciens

The activity of ATP-glucokinase and of polyphosphate glucokinase was examined during growth of the actinomyceteStreptomyces aureofaciens 8425 under conditions of intense chlortetracycline (CTC) synthesis. ATP-glucokinase was active in the strain only during the logarithmic phase of culture growth; the activity of polyphosphate glucokinase appears only at the end of the logarithmic phase of growth and rises in parallel with the rate of CTC biosynthesis in the stationary phase. During the rise of activity of polyphosphate glucokinase and of CTC biosynthesis the cells accumulate sugar phosphates, mainly glucose-6-phosphate. It appears that the biosynthesis of CTC inStreptomyces aureofaciens takes place at the expense of glycolysis, using up the high-energy phosphate of high-molecular polyphosphates.     

Distribution of polyphosphates in cell-compartments of Chlorella fusca as measured by 31P-NMR-spectroscopy

In suspensions of the green alga Chlorella fusca the influence of high pH and high ethylene-diamine-tetraacetic acid concentrations in the external medium, of French-press and perchloric acid extraction of the cells and of alkalization of the intracellular pH on the polyphosphate signal in ³¹P-nuclear magnetic resonance (³¹P NMR) spectra was investigated.The results show that part of the polyphosphates of asynchronous Chlorella cells are located outside the cytoplasmic membrane and complexed with divalent metal-ions. These polyphosphates are tightly bound to the cell wall and/or the cytoplasmic membrane and are not susceptible to hydrolyzation by strong acid at room temperature, in contrast to the intracytoplasmic polyphosphates.Upon alkalization of the internal pH of Chlorella cells, polyphosphates, previously not visible in the spectra become detectable by ³¹P-NMR-spectroscopy. ³¹P-NMR spectroscopic monitoring of polyphosphates during gradual alkalization of the extra-and intracellular space is proposed as a quick method for the estimation of the cellular polyphosphate content and distribution.Abbreviations CCCP Carbonylcyanide-m-chlorophenyl-hydrazone - NTP/NDP Nucleotide triphosphate/-diphosphate - PCA Perchloric acid - ³¹P-NMR ³¹P-nuclear magnetic resonance - PolyP polyphosphates - PP₁, PP₂, PP₃ terminal, second and third phosphate residue of polyphosphates, respectively - PP₄ core phosphate residues of polyphosphates     

Study of the content of inorganic polyphosphates in <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> grown on different carbon sources with different O<Subscript>2</Subscript> concentrations in the medium

The content of different fractions of inorganic polyphosphates (polyP) was studied in Saccharomyces cerevisiae VKM Y-1173 growing on a complete medium with glucose under hypoxia and active aeration as well as on ethanol. The highest growth rate was observed for aerobic fermentation, while the yield of biomass was maximal for cultivation on ethanol. In the mid-log growth phase, the amount of poly P was maximal in the cells grown on glucose under hypoxia and minimal on ethanol. In this latter case, the content of different poly P fractions changed unevenly: polyP3, polyP4, and polyP1 decreased by approximately 60%, 45%, and 30%, respectively; the salt-soluble polyP2 remained at almost the same level; while polyP5 abruptly increased 10-to 15-fold. These findings demonstrate that the metabolic pathways for poly P fractions are different. A significant drop in the amount of the main poly P fractions accompanied by a decrease of the poly P average chain length in the presence of carbon and P_i sources in the medium is evidence of active involvement of poly P as additional energy sources in the flows of energy in actively growing yeast cells.     

A 31P-NMR study of Propionibacterium acnes, including effects caused by near-ultraviolet irradiation

161.8 MHz 31P-NMR spectra were recorded from the light sensitive skin bacterium Propionibacterium acnes. The cells were grown anaerobically on synthetic phosphate-buffered Eagle's medium or on a complex yeast extract medium. The spectra showed a large accumulation of polyphosphates when grown on Eagles medium. A splitting of the inorganic phosphate peak indicated a difference between internal and external pH of the cells. Addition of glucose to the cell suspension gave rise to a change in the pH gradient across the cell membrane, as reported for other Gram-positive bacteria. A decrease in the polyphosphate peak was observed after addition of glucose. A lethal dose of broad-band near-ultraviolet light (corresponding to a 10% survival in a survival test), increased the amount of polyphosphates visible in the NMR-spectra. The addition of glucose to irradiated cells decreased the pH in the external solution, but no splitting of the inorganic phosphate peak could however be observed. 31P-NMR can, therefore, be used to study immediate near-ultraviolet-induced effects at the cellular level, at least in the case of P. acnes.     

Quasi steady state growth of <Emphasis Type="Italic">Lactococcus lactis</Emphasis> in glucose-limited acceleration stat (A-stat) cultures

Quasi steady state growth of Lactococcus lactis IL 1403 was studied in glucose-limited A-stat cultivation experiments with acceleration rates (a) from 0.003 to 0.06 h⁻² after initial stabilization of the cultures in chemostat at D = 0.2–0.3 h⁻¹. It was shown that the high limit of quasi steady state growth rate depended on the acceleration rate used—at an acceleration rate 0.003 h⁻² the quasi steady state growth was observed until μ _crit = 0.59 h⁻¹, which is also the μ _max value for the culture. Lower values of μ _crit were observed at higher acceleration rates. The steady state growth of bacteria stabilized at dilution rate 0.2 h⁻¹ was immediately disrupted after initiating acceleration at the highest acceleration rate studied—0.06 h⁻². Observation was made that differences [Δ(μ − D)] of the specific growth rates from pre-programmed dilution rates were the lowest using an acceleration rate of 0.003 h⁻² (< 4% of preset changing growth rate). The adaptability of cells to follow preprogrammed growth rate was found to decrease with increasing dilution rate—it was shown that lower acceleration rates should be applied at higher growth rates to maintain the culture in the quasi steady state. The critical specific growth rate and the biomass yields based on glucose consumption were higher if the medium contained S ₀ = 5 g L⁻¹ glucose instead of S ₀ = 10 g L⁻¹. It was assumed that this was due to the inhibitory effect of lactate accumulating at higher concentrations in the latter cultures. Parallel A-stat experiments at the same acceleration and dilution rates showed good reproducibility—Δ(μ − D) was less than 5%, standard deviations of biomass yields per ATP produced (Y _ATP), and biomass yields per glucose consumed (Y _XS) were less than 15%.     

Study of the reciprocal relationship of the exoantigens ofClostridium perfringens type A in the culture medium and the bacterial cells during cultivation

The times of the active release ofClostridium perfringens antigens—lecithinase, collagenase and alkaline proteinase—were determined. It was found that lecithinase release attained maximum values after 4–9 hours' cultivation of the microorganisms and stopped completely after 24–36 hours. The course of collagenase release was the same. Maximum proteinase release was determined within 36 to 48 hours' cultivation ofClostridium perfringens. Preformed lecithinase disappeared very rapidly from the culture medium. The presence of the components of the exoantigen complex was determined in the bacterial cell cytoplasm by the immunoadsorption method. Their distribution in the fractions isolated by differential high speed centrifugation of homogenates of disintegrated bacterial cells was studied. Their ribosomal fraction, represented by four groups of ribosomes with the maximum sedimentation coefficients 110 and 130S, contains alkaline proteinase. Its activity diminishes during cultivation of the microorganism and proteolytic activity accumulates in the hyaloplasm. The absence of lecithinase and collagenase in the bacterial cells was demonstrated. The plate will be found at the end of the issue.     

Sodium transport and phosphorus metabolism in sodium-loaded yeast: simultaneous observation with sodium-23 and phosphorus-31 NMR spectroscopy in vivo

Simultaneous 23Na and 31P NMR spectra were obtained from a number of yeast suspensions. Prior to NMR spectroscopy, the yeast cells were Na-loaded: this replaced some of the intracellular K+ with Na+. These cells were also somewhat P-deficient in that they had no polyphosphate species visible in the 31P NMR spectrum. In the NMR experiments, the Na-loaded cells were suspended in media which contained inorganic phosphate, very low Na+, and a shift reagent for the Na+ NMR signal. The media differed as to whether dioxygen, glucose, or K+ was present individually or in combinations and as to whether the medium was buffered or not. The NMR spectra revealed that the cells always lost Na+ and gained phosphorus. However, the nature of the Na+ efflux time course and the P metabolism differed depending on the medium. The Na+ efflux usually proceeded linearly until the amount of Na+ extruded roughly equalled the amount of NH4+ and orthophosphate initially present in the medium (external phosphate was added as NH4H2PO4). Thus, we presume this first phase reflects a Na+ for NH4+ exchange. The Na+ efflux then entered a transition phase, either slowing, ceasing, or transiently reversing, before resuming at about the same value as that of the first phase. We presume that this last phase involves the simultaneous extrusion of intracellular anions as reported in the literature. The phosphorus metabolism was much more varied. In the absence of exogenous glucose, the P taken up accumulated first as intracellular inorganic phosphate; otherwise, it accumulated first in the "sugar phosphate" pool. In most cases, at least some of the P left the sugar phosphate pool and entered the polyphosphate reservoir in the vacuole. However, this never happened until the phase probably representing Na+ for NH4+ exchange was completed, and the P in the polyphosphate pool never remained there permanently but always eventually reverted back to the sugar phosphate pool. These changes are interpreted in terms of hierarchical energy demands on the cells under the different conditions. In particular, the energy for the Na+ for NH4+ exchange takes precedence over that required to produce and store polyphosphate. This conclusion is supported by the fact that when the cells are "forced" to exchange K+, as well as NH4+, for Na+ (by the addition of 5 times as much K+ to the NH4+-containing medium), polyphosphates are never significantly formed, and the initial linear Na+ efflux phase persists possibly 6 times as long.(ABSTRACT TRUNCATED AT 400 WORDS)