Modeling of recycling oxic and anoxic treatment system for swine wastewater using neural networks

A recycling reactor system operated under sequential anoxic and oxic conditions for the treatment of swine wastewater has been developed, in which piggery slurry is fermentatively and aerobically treated and then part of the effluent is recycled to the pigsty. This system significantly removes offensive smells (at both the pigsty and the treatment plant), BOD and others, and may be cost effective for small-scale farms. The most dominant heterotrophic were, in order,Alcaligenes faecalis, Brevundimonas diminuta andStreptococcus sp., while lactic acid bacteria were dominantly observed in the anoxic tank. We propose a novel monitoring system for a recycling piggery slurry treatment system through the use of neural networks. In this study, we tried to model the treatment process for each tank in the system (influent, fermentation, aeration, first sedimentation and fourth sedimentation tanks) based upon the population densities of the heterotrophic and lactic acid bacteria. Principal component analysis (PCA) was first applied to identify a relationship between input and output. The input would be microbial densities and the treatment parameters, such as population densities of heterotrophic and lactic acid bacteria, suspended solids (SS), COD, NH₄ ⁺-N, or-tho-phosphorus (o-P), and total-phosphorus (T-P). Then multi-layer neural networks were employed to model the treatment process for each tank. PCA filtration of the input data as microbial densities was found to facilitate the modeling procedure for the system monitoring even with a relatively lower number of input. Neural networks independently trained for each treatment tank and their subsequent combined data analysis allowed a successful prediction of the treatment system for at least two days.     

Characterization of microbial community and kinetics for spent sulfidic caustic applied autotrophic denitrification

Spent sulfidic caustic was applied to sulfur utilizing autotrophic denitrification as the simultaneous source of electron donor and alkalinity. The two experiment set-up of upflow anoxic hybrid growth reactor (UAHGR) and upflow anoxic suspended growth reactor (UASGR) was adopted and nitrate removals were similar in both reactors. Approximately 90% of the initial nitrate was denitrified at nitrate loading rate of 0.15∼0.40 kgNO₃ ⁻/m³·d. The experimental stoichiometric ratio of sulfate production to nitrate removal was ranged from 1.5 to 2.1 mgSO₄ ²⁻/mgNO₃ ⁻. During the operation period, denaturing gradient gel electrophoresis (DGGE) analysis of polymerase chain reaction (PCR)-amplified 16S rDNA fragments for the sludge sample of both reactors showed the change of microbial communities. Thiobacillus denitrificans-like microorganism occupied 28.5% (18 clones) of the 63 clones by cloning the PCR products from the sludge sample of UAHGR. Acidovorax avenae, which can reduce nitrate to nitrogen gas while oxidizing phenol (heterotrophic denitrifier), was also found in 7 clones (11.1%). Although an organic carbon source was not added to the medium, a microorganism (Kaistella koreensis) capable of oxidizing organic compounds was found in 7 clones (11.1%). Therefore, the microbial community of spent sulfidic caustic applied autotrophic denitrification process well corresponds to the substrate components of spent sulfidic caustic. Through the batch cultivation of microorganisms in UAHGR, the microbial kinetic coefficients of spent sulfidic caustic applied autotrophic denitrification were estimated to be μ _max = 0.097 h⁻¹, k _d = 0.0021 h⁻¹, K _s = 200 mgNO₃ ⁻/L, and Y = 0.31 mgMLVSS/mgNO₃ ⁻.     

Change of Microbial Populations in a Suspended-sludge Reactor Performing Completely Autotrophic N-removal

Summary In recent years, several novel processes for N-removal almost without consumption of organic carbon under oxygen-limited conditions have been discovered, which may be a promising option for low-cost N-removal from ammonia-rich wastewater. In this study, a laboratory scale suspended-sludge reactor was continuously operated under low dissolved oxygen concentration. High N-removal efficiency and subsequently degradation of the reactor were observed. Molecular analysis based on a partial-16S rRNA gene library showed that, at the stage of high efficiency, the biomass was composed of Planctomycete-like bacteria (up to 40%) and heterotrophic organisms (approximately 60%) as well as a few ammonia-oxidizing bacteria and at the stage of degradation, the autotrophic ammonia-oxidizing bacteria were dominant (up to 70%) and Planctomycete-like bacteria were no longer found in the sludge. Three specific Planctomycete-16S rRNA-targeted probes were used for fluorescence in situ hybridization (FISH). The results showed that at the high-efficiency stage, Planctomycete-like bacteria, present at approximately 20% of the total bacteria, lay frequently in the middle of flocs, while the heterotrophic bacteria occurred within the outer layers. This work revealed that the change of the microbial populations is the key reason for reactor deterioration, and the heterotrophic bacteria probably play an important role in sustaining the biomass structure of the sludge.     

Heterotrophic nitrogen fixation in oligotrophic tropical marshes: changes after phosphorus addition

In order to determine the impact of nutrient enrichment on phosphorus (P) limited wetlands, we established experimental P additions in marshes throughout northern Belize. P significantly increased macrophyte primary production, which led to the rapid elimination of cyanobacterial mats. The replacement of cyanobacterial mats by macrophytes constrained autotrophic nitrogen (N) fixation, increased the quantity, and changed the quality of organic matter input to the sediments. We predicted that the activity of sediment heterotrophic N fixers will be impacted by these alterations in carbon input. We used the acetylene reduction technique to measure potential (glucose amended) nitrogenase activity (NA) in sediments from controls and treatment plots that have been P enriched for four years and dominated either by Eleocharis cellulosa, or Typha domingensis for two years. NA in P-enriched plots was 2–3 orders of magnitude higher than NA in controls. NA was positively correlated with the soil reactive P, both total organic and microbial carbon, live root biomass, and total phospholipid fatty acids (PLFA) as an indicator of active microbial biomass. It was negatively correlated with the concentration of ammonium-N. Path analysis revealed that the indirect effect of P on NA through the root biomass was more important than the direct effect of P. NA of the upper sediment layer was consistently higher in Eleocharis than in Typha dominated plots, despite the higher litter input by Typha. We feel that the higher levels of lignin and phenolics occurring in Typha litter, relative to Eleocharis, constrained NA in Typha plots. Handling editor: Luis Mauricio Bini     

Interrelationships between <Emphasis Type="Italic">Dunaliella</Emphasis> and halophilic prokaryotes in saltern crystallizer ponds

Thanks to their often very high population densities and their simple community structure, saltern crystallizer ponds form ideal sites to study the behavior of halophilic microorganisms in their natural environment at saturating salt concentrations. The microbial community is dominated by square red halophilic Archaea, recently isolated and described as Haloquadratum walsbyi, extremely halophilic red rod-shaped Bacteria of the genus Salinibacter, and the unicellular green alga Dunaliella as the primary producer. We review here, the information available on the microbial community structure of the saltern crystallizer brines and the interrelationships between the main components of their biota. As Dunaliella produces massive amounts of glycerol to provide osmotic stabilization, glycerol is often postulated to be the most important source of organic carbon for the heterotrophic prokaryotes in hypersaline ecosystems. We assess here, the current evidence for the possible importance of glycerol and other carbon sources in the nutrition of the Archaea and the Bacteria, the relative contribution of halophilic Bacteria and Archaea to the heterotrophic activity in the brines, and other factors that determine the nature of the microbial communities that thrive in the salt-saturated brines of saltern crystallizer ponds. Three-letter abbreviations for names of genera of Halobacteriaceae conform the recommendations of the ICSP Subcommittee on the Taxonomy of Halobacteriaceae.     

Artificial neural network approaches to one-step weekly prediction of Dinophysis acuminata blooms in Huelva (Western Andalucía, Spain)

On the Atlantic coasts of Andalucía, chronic spring–summer (March–June) diarrhetic shellfish poisoning (DSP) outbreaks are associated with blooms of Dinophysis acuminata, Claparède and Lachmann. Artificial neural networks (ANNs) have been successfully used to model primary production and have recently been tested for the prediction of harmful algae blooms. In this study, we evaluated the performance of feed forward ANN models trained to predict D. acuminata blooms. ANN models were trained and tested using weekly data (5 previous weeks) of D. acuminata cell counts from eight stations of the Andalucía HAB monitoring programme in the coasts of Huelva between 1998 and 2004. Principal component analysis (PCA) were previously carried out to find out possible similarities within time series from each zone with the aim of reducing the number of areas to model. Our results show that ANN models with a low number of input variables are able to reproduce trends in D. acuminata population dynamics.     

Amaranth decoloration by Trametes versicolor in a rotating biological contacting reactor

Sequential batch and continuous operation of a rotating biological contacting (RBC) reactor and the effects of dissolved oxygen on the decoloration of amaranth by Trametes versicolor were evaluated. Amaranth belongs to the group of azo dyes which are potential carcinogens and/or mutagens that can be transformed into toxic aryl amines under anaerobic conditions. Cultivation of T. versicolor in a stirred tank reactor was found to be unsuitable for amaranth decoloration due to significant biomass fouling and increase in medium viscosity. Assuming that decoloration follows first-order kinetics, amaranth was decolorized more rapidly when T. versicolor was immobilized on jute twine in a RBC reactor operated either in a sequential batch (k=0.25 h^–1) or in a continuous (0.051 h⁻¹) mode compared to a stirred tank reactor (0.015 h⁻¹). Oxygen was found to be essential for decoloration with the highest decoloration rates occurring at oxygen saturation. Although longer retention times resulted in more decoloration when the RBC was operated in the continuous mode (about 33% amaranth decoloration), sequential batch operation gave better results (>95%) under similar nutrient conditions. Our data indicate that the fastest decoloration should occur in the RBC using nitrogen-free Kirk’s medium with 1 g/l glucose in sequential batch operation at rotational speeds and/or aeration rates which maintain oxygen saturation in the liquid phase.     

Bacterial and Heterotrophic Nanoflagellate Densities and C‐biomass Estimates Along an Alaskan Tundra Transect with Prediction of Respiratory CO2 Efflux

Although tundra terrestrial ecology is significantly affected by global warming, we know relatively little about how eukaryotic microbial communities respond and how much microbial respiratory CO₂ may be released due to available organic nutrient sources in the permafrost melt. Prior research has shown a strong positive correlation between bacteria and fungi in some Arctic locales; this research focused on the relationships of terrestrial bacteria and heterotrophic nanoflagellates. The densities and estimated C‐biomass of bacteria and heterotrophic nanoflagellates (a major occurring group of protozoa) were assessed in 14 samples obtained along a 10 km transect in northwest AK during the summer of 2012. Two samples were taken, one at the top and one near the base of seven hummocks along the transect. Densities (no./g soil) of bacteria varied from 2.7–16 × 10⁹, and nanoflagellates 0.7–7.9 × 10⁷. C‐biomass (μg/g soil) of bacteria varied from 358 to 2,114, and nanoflagellates 12–37. Additionally, the rate of respiration was analyzed in the laboratory for each soil sample. A linear relationship between soil respiration and bacterial densities was obtained (20 °C): R_s = 12.32 + 14.07 B_d (p ? 0.01); where R_s is soil respiration (nmol/min/g soil) and B_d = bacterial density (no. × 10⁹/g soil).     

Growth kinetics of Aeromonas hydrophila in freshwaters supplemented with various organic and inorganic nutrients

Freshwaters of varying natural nutrient enrichment were used as growth media for the culture of an autochthonous, heterotrophic, freshwater bacterium, Aeromonas hydrophila. The growth rate of the bacterium in eutrophic waters was increased to the greatest extent by adding carbon, as glucose; generation times decreased by up to 65%. Additions of carbon and phosphorus increased the maximal cell densities by over 25-fold. In oligotrophic waters, bacterial growth was most strongly promoted by the simultaneous additions of carbon (as glucose) and phosphorus (as KH₂PO₄). In these waters, stationary phase densities were increased as much as 100-fold, with a corresponding 70% increase in growth rate. These data provide at least a partial explanation for the previously observed correlation between A. hydrophila densities and the trophic states of freshwaters.The authors are with the Department of Microbiology, Morrill Hall, University of Rhode Island, Kingston, Rhode Island 02881, USA     

An improved method for two-dimensional fluorescence monitoring of complex bioreactors

An improved method for deconvoluting complex spectral maps from bidimensional fluorescence monitoring is presented, relying on a combination of principal component analysis (PCA) and feedforward artificial neural networks (ANN). With the aim of reducing ANN complexity, spectral maps are first subjected to PCA, and the scores of the retained principal components are subsequently used as ANN input vector. The method is presented using the case study of an extractive membrane biofilm reactor, where fluorescence maps of a membrane-attached biofilm were analysed, which were collected under different reactor operating conditions. During ANN training, the spectral information is associated with process performance indicators. Originally, 231 excitation/emission pairs per fluorescence map were used as ANN input vector. Using PCA, each fluorescence map could be represented by a maximum of six principal components, thereby catching 99.5% of its variance. As a result, the dimension of the ANN input vector and hence the complexity of the artificial neural network was significantly reduced, and ANN training speed was increased. Correlations between principal components and ANN predicted process performance parameters were good with correlation coefficients in the order of 0.7 or higher.     

Molecular diversity of 16S rRNA and gyrB genes in copper mines

The molecular diversities of the microbial communities from four sites impacted by acid mine drainage (AMD) at Dexing Copper Mine in Jiangxi province of China were studied using 16S rRNA sequences and gyrB sequences. Of the four sampled sites, each habitat exhibited distinct geochemical characteristics and the sites were linked geographically allowing us to correlate microbial community structure to geochemical characteristics. In the present study, we examined the molecular diversity of 16S rRNA and gyrB genes from water at these sites using a PCR-based cloning approach. We found that the microbial community appears to be composed primarily of Proteobacteria, Acidobacteria, Actinobacteria, Nitrospira, Firmicutes, Chlorella and unknown phylotypes. Of clones affiliated with Nitrospira, Leptospirillum ferrooxidans, Leptospirillum ferriphilum and Leptospirillum group III were all detected. Principal-component analysis (PCA) revealed that the distribution of the microbial communities was influenced greatly by geochemical characteristics. The overall PCA profiles showed that the sites with similar geochemical characteristics had more similar microbial community structures. Moreover, our results also indicated that gyrB sequence analysis may be very useful for differentiating very closely related species in the study of microbial communities. H. Yin and L. Cao contributed equally to this work.     

长春地区鸡源奇异变形杆菌的分离鉴定及毒力分析

【背景】奇异变形杆菌(Proteus mirabilis)是一种机会致病菌,广泛存在于周围环境中,常导致动物和人类感染。【目的】探究吉林省长春地区某养鸡场病鸡死亡原因,为疾病防控提供参考。【方法】从病死青年鸡脏器分离到病原菌TSA-1,通过革兰氏染色、生化试验和16S rRNA基因序列鉴定,并进行药敏试验、毒力基因检测、细胞毒性和黏附性试验、大蜡螟攻毒试验研究。【结果】分离株TSA-1在镜下呈短杆状、球状的革兰氏阴性菌,生化特性与奇异变形杆菌相一致,16S rRNA基因序列比对显示与奇异变形杆菌相似度为100%;药敏试验结果显示分离株TSA-1对氨苄西林、四环素、卡那霉素、头孢唑林等14种药物耐药,对环丙沙星、恩诺沙星等7种药物敏感;分离株还具有较强的生物被膜形成能力,携带ireA、ucaA、pmfA、atfA、ptA、zapA、hpmA和flhC这8种毒力基因,并对巨噬细胞RAW264.7表现出细胞毒性,而且对Caco-2细胞具有很强的黏附作用;同时对大蜡螟幼虫表现出比禽致病性大肠杆菌(avian pathogenic Escherichia coliO78,APEC-O78)更强的致死作用。【结论】从病死鸡脏器分离得到的奇异变形杆菌TSA-1具有多重耐药性,并携带多种毒力基因,对细胞和大蜡螟幼虫表现出强毒性作用,说明该菌是引起病鸡死亡的主要致病菌之一,应引起重视。     

Changes in the pelagic microbial food web due to artificial eutrophication

The effect of nutrient enrichment on the structure and carbon flow in the pelagic microbial food web was studied in mesocosm experiments using seawater from the northern Baltic Sea. The experiments included food webs of at least four trophic levels; (1) phytoplankton–bacteria, (2) flagellates, (3) ciliates and (4) mesozooplankton. In the enriched treatments high autotrophic growth rates were observed, followed by increased heterotrophic production. The largest growth increase was due to heterotrophic bacteria, indicating that the heterotrophic microbial food web was promoted. This was further supported by increased growth of heterotrophic flagellates and ciliates in the high nutrient treatments. The phytoplankton peak in the middle of the experiments was mainly due to an autotrophic nanoflagellate, Pyramimonas sp. At the end of the experiment, the proportion of heterotrophic organisms was higher in the nutrient enriched than in the nutrient-poor treatment, indicating increased predation control of primary producers. The proportion of potentially mixotrophic plankton, prymnesiophyceans, chrysophyceans and dinophyceans, were significantly higher in the nutrient-poor treatment. Furthermore, the results indicated that the food web efficiency, defined as mesozooplankton production per basal production (primary production + bacterial production − sedimentation), decreased with increasing nutrient status, possibly due to increasing loss processes in the food web. This could be explained by promotion of the heterotrophic microbial food web, causing more trophic levels and respiration steps in the food web.     

Effects of mosquito larvae removal with Bacillus thuringiensis israelensis (Bti) on natural protozoan communities

The protein crystals produced by Bacillus thuringiensis israelensis (Bti) are used against the larvae of pestiferous flood-water mosquitoes in ephemeral wetlands. Although mosquito larvae are considered important predators on protozoans and bacteria, it is not known how a distinct reduction of mosquito larvae density in natural wetlands caused by application of Bti may indirectly affect these microbial communities. Here we show, in a large scale experiment in six natural wetlands, that the densities of heterotrophic protozoans was on an average 4.5 times higher in wetland areas treated with Bti than in control areas. In addition, the taxonomic richness of heterotrophic protozoans increased on an average of 60% in areas with Bti application compared to control areas. The increase in protozoan density and richness was fairly consistent among sites of different wetland habitats. We discuss the potential implications of our results for other parts of the ecosystem. Handling editor: K. Martens     

A strategy for high cell density culture of heterotrophic microalgae with inhibitory substrates

Substrate inhibition is one of the major problems preventing high cell densities of microalgae in heterotrophic culture, so the possibility of overcoming the problem by various culture techniques was examined. It was found that perfusion culture may be the most appropriate technique for high cell densities in heterotrophic culture using inhibitory substrates. An experimental example in which a hollow fibre cell recycle system (HFCRS) was employed to achieve high cell densities of Chlamydomonas reinhardtii on acetate under heterotrophic conditions of growth was demonstrated. The cell density in the HFCRS was much higher than that reported in the literature for this species.     

Genetic diversity of lactic acid bacteria in the intestine of Persian sturgeon fingerlings

Lactic acid bacteria (LAB) are often found as sub‐dominant microbial components in the gastrointestinal (GI) tract of fish and have positive effects on the host. They are generally promising candidates for probiotics and can act as substances to improving both native immune responses and growth performance of animals including fish. In the present study the Persian sturgeon Acipenser persicus autochthonous intestinal LAB were investigated. A total of 90 sturgeon fingerlings were sampled and LAB were isolated and enumerated on MRS agar. Initial identification of 47 LAB isolates using standard biochemical and phenotypic tests revealed five dominant phenotypes. Twenty‐one isolates, representatives from each of these phenotypes, were subsequently identified by 16S rRNA sequence analysis. The results showed that cultivable authochthonous LAB ranged from log 2.93 to 5.61 CFU g^?1 intestine, with a mean of 4.38 ± 0.58 CFU g^?1. 16S rRNA sequence analysis revealed that the LAB community was dominated by Lactococcus spp., with Lactococcus garvieae and Lactococcus lactis accounting for 42.55 and 36.17% of the LAB population, respectively. Pediococcus pentosaceus (14.90%), Weissella cibaria (4.25%) and Enterococcus faecalis (2.13%) were identified as minor components of the LAB community. This is the first report of these LAB as members of the microbial community in the intestine of Acipenser persicus. The results show that both potentially pathogenic (i.e. Lactococcus garvieae) and probiotic (i.e. Lactococcus lactis and Weissella cibaria) LAB inhabit the Persian sturgeon GI tract. Future studies should seek to elucidate the relevance of these species to the host.     

The trade-off between growth rate and yield in microbial communities and the consequences for under-snow soil respiration in a high elevation coniferous forest

Soil microbial respiration is a critical component of the global carbon cycle, but it is uncertain how properties of microbes affect this process. Previous studies have noted a thermodynamic trade-off between the rate and efficiency of growth in heterotrophic organisms. Growth rate and yield determine the biomass-specific respiration rate of growing microbial populations, but these traits have not previously been used to scale from microbial communities to ecosystems. Here we report seasonal variation in microbial growth kinetics and temperature responses (Q₁₀) in a coniferous forest soil, relate these properties to cultured and uncultured soil microbes, and model the effects of shifting growth kinetics on soil heterotrophic respiration (R_h). Soil microbial communities from under-snow had higher growth rates and lower growth yields than the summer and fall communities from exposed soils, causing higher biomass-specific respiration rates. Growth rate and yield were strongly negatively correlated. Based on experiments using specific growth inhibitors, bacteria had higher growth rates and lower yields than fungi, overall, suggesting a more important role for bacteria in determining R_h. The dominant bacteria from laboratory-incubated soil differed seasonally: faster-growing, cold-adapted Janthinobacterium species dominated in winter and slower-growing, mesophilic Burkholderia and Variovorax species dominated in summer. Modeled R_h was sensitive to microbial kinetics and Q₁₀: a sixfold lower annual R_h resulted from using kinetic parameters from summer versus winter communities. Under the most realistic scenario using seasonally changing communities, the model estimated R_h at 22.67 mol m⁻² year⁻¹, or 47.0% of annual total ecosystem respiration (R_e) for this forest.     

Interpreting 16S rDNA T-RFLP Data: Application of Self-Organizing Maps and Principal Component Analysis to Describe Community Dynamics and Convergence

Interpreting the large amount of data generated by rapid profiling techniques, such as T-RFLP, DGGE, and DNA arrays, is a difficult problem facing microbial ecologists. This study compares the ability of two very different ordination methods, principal component analysis (PCA) and self-organizing map neural networks (SOMs), to analyze 16S-DNA terminal restriction-fragment length polymorphism (T-RFLP) profiles from microbial communities in glucose-fed methanogenic bioreactors during startup and changes in operational parameters. Our goal was not only to identify which samples were similar, but also to decipher community dynamics and describe specific phylotypes, i.e., phylogenetically similar organisms, that behaved similarly in different reactors. Fifteen samples were taken over 56 volume changes from each of two bioreactors inoculated from river sediment (S2) and anaerobic digester sludge (M3) and from a well-established control reactor (R1). PCA of bacterial T-RFLP profiles indicated that both the S2 and M3 communities changed rapidly during the first nine volume changes, and then became relatively stable. PCA also showed that an HRT of 8 or 6 days had no effect on either reactor communtity, while an HRT of 2 days changed community structure significantly in both reactors. The SOM clustered the terminal restriction fragments according to when each fragment was most abundant in a reactor community, resulting in four clearly discernible groups. Thirteen fragments behaved similarly in both reactors, eight of which composed a significant proportion of the microbial community as judged by the relative abundance of the fragment in the T-RFLP profiles. Six Bacteria terminal restriction fragments shared between the two communities matched cloned 16S rDNA sequences from the reactors related to Spirochaeta, Aminobacterium, Thermotoga, and Clostridium species. Convergence also occurred within the acetoclastic methanogen community, resulting in a predominance of Methanosarcina siciliae-related organisms. The results demonstrate that both PCA and SOM analysis are useful in the analysis of T-RFLP data; however, the SOM was better at resolving patterns in more complex and variable data than PCA ordination.     

Effects of consumers and nitrogen availability on heterotrophic microbial activity during leaf decomposition in headwater streams

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Investigations of cephalosporin C production in an airlift tower loop reactor

Summary Cephalosporin C was produced by Cephalosporium acremonium in a 60 l airlift loop reactor on complex medium (with 30 kg/m³ peanut flour) in fed-batch operation. A final product concentration of 5 kg/m³ and a maximum productivity of 45 g/m³ h were attained. On-line analysis was used to determine ammonia, methionine, phosphate, reducing sugar and cephalosporin C by an autoanalyser, glucose by a flow injection analyser and cephalosporin C, penicillin N, deacetoxycephalosporin C, deacetylce-phalosporin C and methionine by HPLC. The volumetric productivity of the stirred tank reactor was higher than that of the airlift reactor because of differences in cell concentration. Specific productivities in relative to cell mass were similar in the two reactors. The substrate yield coefficient in the airlift reactor was twice that in the stirred tank reactor.Nomenclature E _o2 efficiency of oxygen transfer with regard to the specific power input - K _La volumetric mass transfer coefficient - OTR oxygen transfer rate - P power input - PR volumetric productivity of CPC - q _a volumetric aeration rate/broth volume (vvm) - SPR specific productivity with regard to RNA - V _L broth volume in reactor - z relative height of the aerated reactor