Physiological state of a microbial community in a biomass recycle reactor

The transition in physiological state was investigated between a carbon-limited chemostat population and microbes growing very slowly in a biomass recycle reactor. The mixed microbial population was metabolizing a mixture of biopolymers and linear alkylbenzene sulfonate, formulated to represent the organic load in graywater. Biomass increased 30-fold during the first 14 days after a shift from chemostat to biomass recycle mode. The ratios of ATP and RNA to cell protein decreased over the first days but then remained constant. The specific rate of CO₂ production by microbes in the reactor decreased 6-fold within 24 h after the shift, and respiratory potentials declined 2–3 fold during the first 7 days. Whereas chemostat cultures used equal proportions of organic carbon substrate for catabolism and anabolism, the proportion of organic substrate oxidized to CO₂ rose from 62 to 82% over the first 8 days in a biomass recycle reactor, and eventually reached 100% as this reactor population exhibited no net growth. Biomass recycle populations removed from the system and subjected to a nutritional shift-up did not immediately initiate exponential growth. The physiological state of cells in the biomass recycle reactor may be distinct from those grown in batch or continuous culture, or from starved cells. Received 02 June 1997/ Accepted in revised form 20 February 1998     

Biodegradation of organic wastes containing surfactants in a biomass recycle reactor.

The microbial biodegradation of simulated graywater, containing 21.5 mg of linear alkylbenzene sulfonate liter-1, was investigated with a continuous-flow bioreactor with 100% biomass recycle. Low concentrations of organic matter in the ultrafiltration eluate were achieved by hydraulic residence times as short as 1.6 h and for periods of up to 74 days at a hydraulic residence time of 6 h. Upon a shift from the chemostat to the biomass recycle mode, the increase in biomass with time approximated a linear rather than an exponential function. Biomass densities as high as 6.8 g of cell protein liter-1 were reached; this was 50-fold higher than the steady-state biomass level in chemostats fed the same medium. We assessed physiological changes in the microbial community after a switch from the chemostat to the biomass recycle mode. Over 150 h, there was a two- to fourfold decrease in the respiratory potential of the microbes. After this decrease, respiratory potentials were relatively constant up to 74 days of operation. A decline in reactivity was also indicated by increasing lag periods before growth in response to organic nutrient inputs and by a decrease in the proportion of cells able to reduce tetrazolium dye. However, the bioreactor system was still capable of rapidly metabolizing inputs of organic matter, because of the very high biomass concentrations. It appears that < 10% of the organic carbon inputs accumulate as biomass.     

Bacterial function and community structure in reactors treating biopolymers and surfactants at mesophilic and thermophilic temperatures

Microbial communities capable of degrading biopolymers and surfactants typically found in graywater were selected in continuous-flow bioreactors operated at 30, 44, 53, or 62°C. The effect of temperature upon microbial activity and community composition was determined. Microbial respiration of the organic components of the medium (including linear alkylbenzene sulfonate) was detected in samples from each reactor. The microbial community in each reactor was adapted to the operating temperature. Nucleic acid-based analyses of community composition showed that distinct consortia were present at each temperature. Community complexity was inversely related to temperature. The specific maintenance rate was twofold higher at 62°C than at the lower temperatures. Under starvation conditions, microbes in the 62°C system lost membrane integrity 30- to 100-fold faster than microbes at lower temperatures. Received 02 April 1999/ Accepted in revised form 17 May 1999     

Propane-Induced biodegradation of vapor phase trichoroethylene

Microbial degradation of trichloroethylene (TCE) has been demonstrated under aerobic conditions with propane. The primary objective of this research was to evaluate the feasibility of introducing a vapor phase form of TCE in the presence of propane to batch bioreactors containing a liquid phase suspension of Mycobacterium vaccae JOB5 to accomplish degradation. The reactor system consisted of three phases: a vapor phase introducing air, propane, and TCE; a liquid phase of the microbial suspension; and a solid phase in the form of the microorganisms. Long-term and initial rate experiments were conducted on three culture sets to evaluate microbial response. In two long-term test fed propane and approximately 0.1 mg/L and 1 mg/L of TCE, respectively, propane utilization was more efficient at the high TCE concentration (600 mmol propane/mmol TCE versus 11,900 mmol propane/mmol TCE), because the propane degradation rate was approximately the same for both tests (6.73 mg/L . h and 7.85 mg/L . h for the high and low tests). In addition, TCE utilization decreased after complete propane consumption. Initial rate tests on culture sets fed propane only revealed that cells with a history of exposure to a high concentration of TCE had the highest specific growth rate, but the lowest half-saturation constant (7.60e(-3) h(-1) and 0.10 mg/L, respectively). Tests fed variable TCE concentrations (0.031 to 5.378 mg/L in the liquid phase) with no propane showed TCE depletion but no biomass growth. The tests revealed that the TCE removal increased as the TCE concentration increased, indicating a greater removal efficiency at the higher concentrations. Tests with a constant initial propane concentration and variable liquid phase TCE concentration revealed that specific propane utilization was essentially the same. (c) 1995 John Wiley & Sons, Inc.     

Microbial adaptation to hydrogen peroxide and biodegradation of aromatic hydrocarbons

This research investigated microbial responses to bioremediation with hydrogen peroxide (H₂O₂) as a supplemental oxygen source. Columns containing aquifer material from Traverse City, MI, USA, were continuously supplied with benzene, toluene, ethylbenzene, o-xylene and m-xylene (BTEX) and H₂O₂ in increasing concentration. The microbial responses studied were changes in microbial numbers, community structure, degradative ability, and activity of catalase and superoxide dismutase (SOD). Both adaptation to H₂O₂ and stress-related consequences were observed. Adaptation to H₂O₂ was demonstrated by increased catalase and SOD activity during the course of the experiment. The microbial community in the untreated aquifer material used in the columns consisted primarily of Corynebacterium sp and Pseudomonas fluorescens. Following amendment with 500 mg L⁻¹ H₂O₂, the column inlet was dominated by P. fluorescens with few Corynebacterium sp present; Xanthomonas maltophilia dominated the middle and outlet sections. Dimethyl phenols detected in the effluent of two of the biologically active columns were probably metabolic products. The ratio of oxygen to BTEX mass consumed was approximately 0.3 before H₂O₂ addition, 0.7 following 10 mg L⁻¹ H₂O₂ supplementation, and 2.6 over the course of the experiment. Abiotic decomposition H₂O₂ was observed in a sterile column and impeded flow at a feed concentration of 500 mg L⁻¹ H₂O₂. Increasing the BTEX concentration supplied to the biologically active columns eliminated flow disruptions by satisfying the carbon and energy demand of the oxygen evolved by increasing catalase activity. Received 15 February 1996/ Accepted in revised form 15 July 1996     

Anaerobic biodegradation of diesel fuel-contaminated wastewater in a fluidized bed reactor

Diesel fuel spills have a major impact on the quality of groundwater. In this work, the performance of an Anaerobic Fluidized Bed Reactor (AFBR) treating synthetic wastewater is experimentally evaluated. The wastewater comprises tap water containing 100, 200 and 300 mg/L of diesel fuel and nutrients. Granular, inert, activated carbon particles are employed to provide support for biomass inside the reactor where diesel fuel is the sole source of carbon for anaerobic microorganisms. For different rates of organic loading, the AFBR performance is evaluated in terms of the removal of diesel fuel as well as chemical oxygen demand (COD) from wastewater. For the aforementioned diesel fuel concentrations and a wastewater flow rate of 1,200 L/day, the COD removal ranges between 61.9 and 84.1%. The concentration of diesel fuel in the effluent is less than 50 mg/L, and meets the Level II groundwater standards of the MUST guidelines of Alberta.     

Anaerobic biodegradation of linear alkylbenzene sulfonate (LAS) in upflow anaerobic sludge blanket (UASB) reactors

The anaerobic biodegradation of Linear Alkylbenzene Sulfonate (LAS) was studied in Upflow Anaerobic Sludge Blanket Reactors (UASB). One reactor was fed with easily degradable substrates and commercial LAS solution during a period of 3 months (Reactor 1), meanwhile a second reactor was fed with a commercial LAS solution without co-substrate (Reactor 2) during 4 months. Both reactors were operated with an organic loading rate of 4–5 mg-LAS/l*day and a hydraulic retention time of one day.The LAS biodegradation was determined by full mass balance. LAS was analysed by HPLC in the liquid phase (influent and effluent streams of the reactors) as well as in the solid phase (granular sludge used as biomass). The results indicate a high level of removal (primary biodegradation: 64–85%). Biodegradation was higher in the absence of external co-substrates than in the presence of additional sources of carbon. This indicates that the surfactant can be partially used as carbon and energy source by anaerobic bacteria. Under the operating conditions used, inhibition of the methanogenic activity or any other negative effects on the biomass due to the presence of LAS were not observed. The methanogenic activity remained high and stable throughout the experiment.     

Intimate coupling of photocatalysis and biodegradation in a photocatalytic circulating-bed biofilm reactor

Coupling advanced oxidative pretreatment with subsequent biodegradation demonstrates potential for treating wastewaters containing biorecalcitrant and inhibitory organic constituents. However, advanced oxidation is indiscriminate, producing a range of products that can be too oxidized, unavailable for biodegradation, or toxic themselves. This problem could be overcome if advanced oxidation and biodegradation occurred together, an orientation called intimate coupling; then, biodegradable organics are removed as they are formed, focusing the chemical oxidant on the non-biodegradable fraction. Intimate coupling has seemed impossible because the conditions of advanced oxidation, for example, hydroxyl radicals and sometimes UV-light, are severely toxic to microorganisms. Here, we demonstrate that a novel photocatalytic circulating-bed biofilm reactor (PCBBR), which utilizes macro-porous carriers to protect biofilm from toxic reactants and UV light, achieves intimate coupling. We demonstrate the viability of the PCBBR system first with UV only and acetate, where the carriers grew biofilm and sustained acetate biodegradation despite continuous UV irradiation. Images obtained by scanning electron microscopy and confocal laser scanning microscopy show bacteria living behind the exposed surface of the cubes. Second, we used slurry-form Degussa P25 TiO2 to initiate photocatalysis of inhibitory 2,4,5-trichlorophenol (TCP) and acetate. With no bacterial carriers, photocatalysis and physical processes removed TCP and COD to 32% and 26% of their influent levels, but addition of biofilm carriers decreased residuals to 2% and 4%, respectively. Biodegradation alone could not remove TCP. Photomicrographs clearly show that biomass originally on the exterior of the carriers was oxidized (charred), but biofilm a short distance within the carriers was protected. Finally, we coated TiO2 directly onto the carrier surface, producing a hybrid photocatalytic-biological carrier. These carriers likewise demonstrated the concept of photocatalytic degradation of TCP coupled with biodegradation of acetate, but continued TCP degradation required augmentation with slurry-form TiO2.     

Anaerobic biodegradation of pentachlorophenol in mixtures containing cadmium by two physiologically distinct microbial enrichment cultures

Anaerobic biodegradation of pentachlorophenol (PCP), in mixtures containing cadmium (Cd), by sulfidogenic (SRB) and methanogenic (MET) enrichment cultures, was studied. Removal of 91–93% of PCP occurred in both SRB- and MET-enriched cultures, in the absence of Cd, within 82 days. The presence of soluble Cd initially decreased the rate of PCP removal by the enrichment cultures, but PCP removal rates improved as the Cd precipitated. GC-MS, ¹⁴C-PCP, and ¹³C-PCP studies confirmed mineralization of PCP by both enrichment cultures, as well as the incorporation of PCP carbon into specific phospholipid fatty acids (PLFAs) of the cell membranes of PCP-degrading anaerobes. This is the first report on anaerobic biodegradation of PCP by SRB- and MET-enriched cultures in the presence, with simultaneous precipitation, of the toxic heavy metal Cd, and of the incorporation of PCP carbons into specific PLFAs of the anaerobic bacterial cells. Journal of Industrial Microbiology & Biotechnology (2001) 27, 11–17. Received 22 May 2000/ Accepted in revised form 17 March 2001     

Dynamic response of naphthalene biodegradation in a continuous flow soil slurry reactor

Periodic perturbations were used to evaluate the system stability and robustness of naphthalene biodegradation in a continuous flow stirred tank reactor (CSTR) containing a soil slurry. The experimental design involved perturbing the test system using a sinusoidal input either of naphthalene or non-naphthalene organic carbon at different frequencies during steady state operation of the reactors. The response of the test system was determined by using time series off-gas analysis for naphthalene liquid phase concentration and degradation, total viable cell counts, and gene probe analysis of naphthalene degradative genotype, and by batch mineralization assays.Naphthalene biodegradation rates were very high throughout the experimental run (95 to >99% removed) resulting in very low or undetectable levels of naphthalene in the off-gas and reactor effluent. Attempts to reduce the rate of naphthalene biotransformation by either reducing the reactor temperature from 20°C to 10°C or the dissolved oxygen level (>1 mg/L) were unsuccessful. Significant naphthalene biodegradation was observed at 4°C. While variable, the microbial community as measured by population densities was not significantly affected by temperature changes. In terms of naphthalene biotransformation, the system was able to adapt readily to all perturbations in the reactor.Department of Chemical EngineeringDepartment of Microbiology and The Graduate Program in EcologyDepartment of Civil Engineering, New Orleans University     

Microbial adaptation to biodegradation of tert-butyl alcohol in a sequencing batch reactor

This study demonstrates the utility of the sequencing batch reactor (SBR) to adapt microorganisms towards biological removal of tert-butyl alcohol (TBA). The reactor was inoculated with activated sludge and fed with TBA as the sole carbon source. Start-of-cycle TBA concentrations were initially set at 100 mgL(-1) with a cycle time of 24 h and a volumetric exchange ratio of 50% to maintain a TBA loading rate of not more than 100 mgL(-1)d(-1). Step increases in TBA loading rates up to 600 mgL(-1)d(-1) were achieved by first raising the start-of-cycle TBA concentration to 150 mgL(-1) on day 90 and subsequently by reducing the cycle time from 24 to 12, 8 and 6h on days 100, 121 and 199, respectively. This acclimation strategy favored the retention of increasingly higher densities of well-adapted microbial populations in the reactor. The increases in TBA loading produced better settling biomass and higher biomass concentrations with higher specific TBA biodegradation rates. Effluent TBA concentrations were consistently below the detection limit of 25 microgL(-1). The use of progressively shorter cycle times created selection pressures that fostered the self-immobilization of the reactor microorganisms into aerobic granules which first appeared on day 125. Specific TBA biodegradation rates in the granules followed the Haldane model for substrate inhibition, and peaked at 13.8 mgTBAgVSS(-1)h(-1) at a TBA concentration of 300 mgL(-1). Denaturing gradient gel electrophoresis (DGGE) analysis of PCR-amplified 16S rRNA genes from granules sampled between days 220 and 247 confirmed the existence of a highly stable microbial community with members belonging to the alpha, beta and delta subdivisions of Proteobacteria and the Cytophaga-Flavobacteria-Bacteroides (CFB) group.     

Use of continuous-flow UV-induced mutation technique to enhance chlorinated organic biodegradation

Summary In this study, a continuous-flow UV-induced mutation (CUM) device and the CUM device coupled to a selector (CUMS) reactor were fabricated and tested for their ability to enhance the probability of obtaining populations capable of chlorinated organic biodegradation. A mixed culture of bacteria were used as the starting strain for both the CUM and CUMS processes. Populations were obtained from the CUM and CUMS systems capable of 4-chlorobenzoic acid, 2,4-dichlorobenzoic acid and chlorendic acid biodegradation. Non-UV irradiated population served as controls for the experiments and did not demonstrate chlorinated organic biodegradation over the test duration.     

High efficiency styrene biodegradation in a biphasic organic/water continuous reactor

Styrene was degraded as sole source of carbon and energy by a selected bacterial community in a two-phase aqueous-organic medium (80%:20%, vol/vol). Silicone oil was used to solubilize styrene, which is sparingly soluble in water and to prevent its toxicity toward microorganisms. Preliminary studies with the mixed population in batch cultures indicate that the specific activity and the maximum growth rate at optimal 3H 6.0 were 46 mg·g^–1·h^–1 and 0.15 h^–1, respectively. In pH-regulated chemostat cultures, styrene was degraded at dilution rates ranging from 0.05 to 0.20 h^–1. Kinetic parameters and the proportion of each strain in the mixed culture were followed. At 0.20 h^–1, only one strain as compared to four initially present, remained in the medium. This strain Pseudomonas aeruginosa, degrades styrene with a specific activity of 293 mg·g^–1·h^–1. Such results could lead to industrial treatment of waste gas or water polluted with styrene. Correspondence to: J,-M. Lebeault     

Microbial treatment of a styrene-contaminated air stream in a biofilter with high elimination capacities

A styrene-utilizing mixed microbial culture was isolated and utilized in a biofilter for the biological treatment of a contaminated air stream. Biofilter media consisted of composted wood bark and yard waste. The biofilters were acclimated at 120 s residence time and further evaluated at 60 and 30 s gas residence times. The biofilters received organic loading rates of up to 350 g/m³ h. The styrene volumetric removal rate was a function of the organic loading rate and increased with increasing loading rates. Average volumetric removal rates of 69–118 g/m³ h observed in our studies were higher than reported values for styrene biofilters. Average styrene removal efficiencies ranged from 65% to 75% (maximum 100%). Axial analysis of styrene concentration along the column indicated that the bulk of the styrene removal occurred in the first section of the biofilter. Analyses of the media indicated that the moisture content of the first section (50–55% w/w) was significantly lower than in the second and third sections (65–70% w/w). The pressure drops across the biofilter were low due to the high concentration of large media particles. The total pressure drops were 1–3, 4–6, and 10–16 mm for the 120-, 60-, and 30-s residence time periods, respectively. Journal of Industrial Microbiology & Biotechnology (2001) 26, 196–202. Received 04 March 2000/ Accepted in revised form 25 January 2001     

Formation of metabolites during biodegradation of linear alkylbenzene sulfonate in an upflow anaerobic sludge bed reactor under thermophilic conditions.

Biodegradation of linear alkylbenzene sulfonate (LAS) was shown in an upflow anaerobic sludge blanket reactor under thermophilic conditions. The reactor was inoculated with granular biomass and fed with a synthetic medium and 3 micromol/L of a mixture of LAS with alkylchain length of 10 to 13 carbon atoms. The reactor was operated with a hydraulic retention time of 12 h with effluent recirculation in an effluent to influent ratio of 5 to 1. A sterile reactor operated in parallel revealed that sorption to sludge particles initially accounted for a major LAS removal. After 8 days of reactor operation, the removal of LAS in the reactor inoculated with active granular biomass exceeded the removal in the sterile reactor inoculated with sterile granular biomass. The effect of sorption ceased after 185 to 555 h depending on the LAS homologs. 40% of the LAS was biodegraded, and the removal rate was 0.5 x 10(-6) mol/h/mL granular biomass. Acidified effluent from the reactor was subjected to dichloromethane extraction followed by gas chromatography/mass spectrometry. Benzenesulfonic acid and benzaldehyde were detected in the reactor effluent from the reactor with active granular biomass but not in the sterile and unamended reactor effluent. Benzenesulfonic acid and benzaldehyde are the first identified degradation products in the anaerobic degradation of LAS.     

Comparison of relative rates of BTEX biodegradation using respirometry

Biodegradation of BTEX by a microbial consortium isolated from a closed municipal landfill was studied using respirometric techniques. The kinetics of biodegradation were estimated from experimental oxygen uptake data using a nonlinear parameter estimation technique. All of the six compounds were rapidly degraded by the microbial culture and no substrate inhibition was observed at the concentration levels examined (200 mg L⁻¹ as COD). Microbial growth and contaminant degradation were adequately described by the Monod equation. Considerable differences were observed in the rates of BTEX biodegradation as seen from the estimates of the kinetic parameters. A three-fold variation was seen in the values of the maximum specific growth rate, μ_max. The highest value of μ_max was 0.389 h⁻¹ for p-xylene while o-xylene was characterized by a μ_max value of 0.14 h⁻¹, the lowest observed in this study. The half saturation coefficient, K _s, and the yield coefficient, Y, varied between 1.288–4.681 mg L⁻¹ and 0.272–0.645 mg mg⁻¹, respectively. Benzene and o-xylene exhibited higher resistance to biodegradation while toluene and p-xylene were rapidly degraded. Ethylbenzene and m-xylene were degraded at intermediate rates. In biodegradation experiments with a multiple substrate matrix, substrate depletion was slower than in single substrate experiments, suggesting an inhibitory nature of substrate interaction. Received 15 February 1998/ Accepted in revised form 5 July 1998     

农业废弃物分解产生CO2的影响因素研究

在正交预备试验得出有机废弃物分解产生CO2适宜条件的基础上,逐一进行单因子试验,以获得利用农业废弃物分解产生的CO2进行棚室栽培CO2施肥的最适发酵条件,结果表明,利用有机废弃物(稻草+猪粪)生物发酵产生CO2的最佳条件分别为：温度50℃、含水量70％、初始pH6．0～7．0．初始C／N比因发酵目的不同有较大变化,以堆肥为目的时为30／1,而以产生CO2为目的时,则以40／1为宜,在4个因素中,初始C／N比和含水量对CO2释放的影响较大,其次是温度,初始pH的影响最小。     

Microbial energetics and stoichiometry for biodegradation of aromatic compounds involving oxygenation reactions

Oxygenation reactions significantly alter the energy and electron flows and, consequently, the overall stoichiometry for the microbial utilization of aromatic compounds. Oxygenation reactions do not yield a net release of electrons, but require an input of electrons to reduce oxygen molecules. The biodegradation pathway of phenanthrene as a model compound was analyzed to determine the impact of oxygenation reactions on overall stoichiometry using the half-reaction method. For individual oxygenation reactions, the half-reaction method for analyzing the electron and energy flows must be modified, because the reactions do not release electrons for synthesis or energy generation. Coupling the oxygenation reaction to subsequent reaction steps provides a net electron release for the coupled reactions. Modeling results indicate that oxygenation reactions increase the oxygen requirement and reduce the cell yield, compared to the conventional mineralization represented by hydroxylation reactions in place of oxygenations. The computed yields considering oxygenation reactions conform better to empirical yields reported in the literature than do yields computed by the hydroxylation single-step methods. The coupled-reaction model also is consistent with information about the ways in which micro-organisms that degrade aromatics accumulate intermediates, regulate degradation genes, and organize enzyme clusters.     

不同肥力棕壤溶解性有机碳、氮生物降解特性

溶解性有机碳、氮在土壤全碳、全氮含量中所占的比例很小,但却是土壤有机质中最为重要和活跃的部分。研究利用土壤溶解性有机碳、氮生物降解的测定方法,分别选取沈阳农业大学试验站不同肥力及与定位试验地紧密相连的自然林地棕壤为研究对象,开展棕壤溶解性有机碳、氮的生物降解特性的研究,为了解溶解性有机碳、氮在土壤生态系统碳、氮循环中的作用,探讨棕壤溶解性有机碳、氮与土壤肥力的关系提供理论依据。研究结果表明,棕壤林地溶解性有机碳、氮的含量最高,高肥处理次之,低肥处理含量最低。棕壤溶解性有机碳、氮与全碳、全氮和微生物量碳、氮的相关性达到极显著水平,与土壤肥力紧密相关,可以作为指示土壤肥力的重要指标。不同肥力棕壤溶解性有机碳、氮的降解速率在培养初期较快,而后逐渐减慢,降解数据符合双指数衰变模型。棕壤溶解性有机碳分别由降解速率不同的两个库组成：周转时间在1d的易分解部分和周转时间大约为400d的难分解部分。棕壤溶解性有机氮是由周转速率大约为2d的易降解部分和周转速率在99～105d左右的难分解部分组成． 经过42d的培养,浸提液中剩余溶解性有机质碳氮比值较培养前有所增加。     

Effect of starvation length upon microbial activity in a biomass recycle reactor

The kinetics of substrate degradation and bacterial growth was determined in a microbial community from a biomass recycle reactor that had been deprived of substrate feed for 0–32 days. Starvation caused changes in bacterial numbers, community composition, and physiological state. Substrate starvation for less than 1 day resulted in modest (less than threefold) changes in endogenous respiration rate, ATP content, and biomass level. During a starvation period of 32 days, there were substantial changes in microbial community composition, as assessed by denaturing gradient gel electrophoresis (DGGE) fingerprinting of PCR amplicons of a portion of the 16S rDNA or by phospholipid fatty acid (PLFA) analysis. When the starved communities were stimulated with organic nutrients, the growth kinetics was a function of the length of the starvation period. For starvation periods of 2–8 days prior to nutrient addition, there was a phase of suboptimal exponential growth (S-phase) in which the exponential growth rate was about 30% of the ultimate unrestricted growth rate. S-phase lasted for 2–8 h and then unrestricted growth occurred at rates of 0.3–0.4 h⁻¹. At starvation times of 12 and 20 days, a lag phase preceded S-phase and the unrestricted growth phase. Received 04 January 2002/ Accepted in revised form 08 August 2002