Potential of Thiobacillus ferrooxidans for waste gas purification. Part 1. Kinetics of continuous ferrous iron oxidation

Kinetic data of ferrous iron oxidation by Thionacillus ferrooxidans were determined. The aim was to remove H₂S (<0.5 ppm) from waste gas by a process proposed earlier. Kinetic data necessary for industrial scale-up were investigated in a chemostat airlift reactor (dilution rate 0.02–0.12 h^–1; pH 1.3). Due to the low pH, ferric iron precipitation and wall growth could be avoided. The maximum ferrous iron oxidation rate of submersed bacteria was 0.77 g 1^–1 h^–1, the maximum specific growth rate about 0.12 h^–1 and the yield coefficient was found to be 0.007 g g^–1 Fe²⁺. The specific O₂ demand of an exponentially growing, ironoxidizing batch culture was 1.33 mg O₂ mg^–1 biomass h^–1. The results indicate that a pH of 1.3 has no negative influence on the kinetics of iron oxidation and growth. Correspondence to: W. Schäfer-Treffenfeldt     

L-Sorbose production in a continuous fermenter with and without cell recycle

The kinetics of continuous l-sorbose fermentation using Acetobacter suboxydans with and without cell recycle (100%) were investigated at dilution rates (D) of 0.05, 0.10, 0.15 and 0.3 h^–1. The biomass and sorbose concentrations for continuous fermentation without recycle increased as the dilution rate was increased from 0.05 to 0.10 h^–1. A maximum biomass concentration of 8.44 g l^–1 and sorbose concentration of 176.90 g l^–1 were obtained at D=0.10 h^–1. The specific rate of sorbose production and volumetric sorbose productivity at this dilution rate were 2.09 g g^–1 h^–1 and 17.69 g l^–1 h^–1. However, on further increasing the dilution rate to 0.3 h^–1, both biomass and sorbose concentrations decreased to 2.93 and 73.20 g l^–1 respectively, mainly due to washout of the reactor contents. However, the specific rate of sorbose formation and volumetric sorbose productivity at this dilution rate increased to 7.49 g g^–1 h^–1 and 21.96 g l^–1 h^–1 respectively. Continuous fermentation with 100% cell recycle served to further enhance the concentration of biomass and sorbose to 28.27 and 184.32 g l^–1 respectively (in the reactor at a dilution rate of 0.05 h^–1). Even though, there was a decline in the biomass and sorbose concentrations to 6.8 and 83.40 g l^–1 at a dilution rate of 0.3 h^–1, the specific rates of sorbose formation and volumetric sorbose productivity increased to 3.67 g g^–1h^–1 and 25.02 g l^–1 h^–1.     

Biooxidation of ferrous iron by immobilized Acidithiobacillus ferrooxidans in poly(vinyl alcohol) cryogel carriers

PVA-cryogels entrapping about 10⁹ cells of Acidithiobacillus ferrooxidans per ml of gel were prepared by freezing-thawing procedure, and the biooxidation of Fe²⁺ by immobilized cells was investigated in a 0.365 l packed-bed bioreactor. Fe²⁺ oxidation fits a plug-flow reaction model well. A maximum oxidation rate of 3.1 g Fe²⁺ l^–1 h^–1 was achieved at the dilution rate of 0.4 h^–1 or higher, while no obvious precipitate was determined at this time. In addition, cell-immobilized PVA-cryogels packed in bioreactor maintained their oxidative ability for more than two months under non-sterile conditions. Nomenclature: C _A0 – Concentration of Fe²⁺ in feed stream (g l^–1) C _A – Concentration of Fe^{2 +} in outlet stream (g l^{– 1}) D – Dilution rate of the packed-bed bioreactor (h^–1) F – Volumetric flow rate of iron solution (l h^–1) F _A0 – Mass flow rate of Fe²⁺ in the feed stream (g h^–1) K – Kinetic constant (l l^–1 h^–1) r _A – Oxidation rate of Fe²⁺ (g l^–1 h^–1) V – Volume of packed-bed bioreactor (l) X _A – Conversion ratio of Fe²⁺ (%)     

Influence of operational parameters in the flocculation and production ofLactobacillus plantarum

Summary The influence of different operational parameters, such as the dilution rate (D) and the bleeding rate (B), in the production of a flocculent strain ofLactobacillus plantarum was studied. The effect of the dilution rate was demonstrated to be related to the lactic acid concentration inside the reactor. The effect of the bleeding rate was shown to be critical in the stabilization of the operation (due to a better pH control). It also allowed a continuous recovery of cells outside the reactor. Viability testing of the lactic starter cultures showed that operation with cell purge increased the viability of the starter cultures obtained.Nomenclature B Bleeding rate, h^–1 - D Dilution rate, h^–1 - F Feed flow rate, L h^–1 - I Feed velocity, m h^–1 - Specific growth rate, h^–1 - v Lactic acid specific productivity, g g^–1 h^–1 - P Product concentration (lactic acid), g L^–1 - P _out Product concentration leaving the system, g L^–1 - Q _b Bleeding flow rate, L h^–1 - R Recirculation velocity, m h^–1 - S Substract concentration, g L^–1 - t Time, h - T _p Time of ascensional flow (length of the column/total ascensional velocity), h - T _r Residence time (1/D), h - V Volume of the reactor, L - X Cell concentration, g L^–1 - X _out Cell concentration leaving the system, g L^–1     

Improvement of a mammalian cell culture process by adaptive,model-based dialysis fed-batch cultivation and suppression of apoptosis

Both conventional and genetic engineering techniques can significantly improve the performance of animal cell cultures for the large-scale production of pharmaceutical products. In this paper, the effect of such techniques on cell yield and antibody production of two NS0 cell lines is presented. On the one hand, the effect of fed-batch cultivation using dialysis is compared to cultivation without dialysis. Maximum cell density could be increased by a factor of ~5–7 by dialysis fed-batch cultivation. On the other hand, suppression of apoptosis in the NS0 cell line 6A1 bcl-2 resulted in a prolonged growth phase and a higher viability and maximum cell density in fed-batch cultivation in contrast to the control cell line 6A1 (100)3. These factors resulted in more product formation (by a factor ~2). Finally, the adaptive model-based OLFO controller, developed as a general tool for cell culture fed-batch processes, was able to control the fed-batch and dialysis fed-batch cultivations of both cell lines.Abbreviations A membrane area (dm²) - c _Glc,F glucose concentration in nutrient feed (mmol L^–1) - c _Glc,FD glucose concentration in dialysis feed (mmol L^–1) - c _Glc,i glucose concentration in inner reactor chamber (mmol L^–1) - c _Glc,o glucose concentration in outer reactor chamber (dialysis chamber) (mmol L^–1) - c _Lac,FD lactate concentration in dialysis feed (mmol L^–1) - c _Lac,i lactate concentration in inner reactor chamber (mmol L^–1) - c _Lac,o lactate concentration in outer reactor chamber (dialysis chamber) (mmol L^–1) - c _LS,FD limiting substrate concentration in dialysis feed (mmol L^–1) - c _LS,i limiting substrate concentration in inner reactor chamber (mmol L^–1) - c _LS,o limiting substrate concentration in outer reactor chamber (dialysis chamber) (mmol L^–1) - c _Mab monoclonal antibody concentration (mg L^–1) - F _D feed rate of dialysis feed (L h^–1) - F _Glc feed rate of nutrient concentrate feed (L h^–1) - K _d maximum death constant (h^–1) - k _d,LS death rate constant for limiting substrate (mmol L^–1) - k _Glc monod kinetic constant for glucose uptake (mmol L^–1) - k _Lac monod kinetic constant for lactate uptake (mmol L^–1) - k _LS monod kinetic constant for limiting substrate uptake (mmol L^–1) - K _Lys cell lysis constant (h^–1) - K _S,Glc monod kinetic constant for glucose (mmol L^–1) - K _S,LS monod kinetic constant for limiting substrate (mmol L^–1) - µ cell-specific growth rate (h^–1) - µ _d cell-specific death rate (h^–1) - µ _d,min minimum cell-specific death rate (h^–1) - µ _max maximum cell-specific growth rate (h^–1) - P _Glc membrane permeation coefficient for glucose (dm h^–1) - P _Lac membrane permeation coefficient for lactate (dm h^–1) - P _LS membrane permeation coefficient for limiting substrate (dm h^–1) - q _Glc cell-specific glucose uptake rate (mmol cell^–1 h^–1) - q _Glc,max maximum cell-specific glucose uptake rate (mmol cell^–1 h^–1) - q _Lac cell-specific lactate uptake/production rate (mmol cell^–1 h^–1) - q _Lac,max maximum cell-specific lactate uptake rate (mmol cell^–1 h^–1) - q _LS cell-specific limiting substrate uptake rate (mmol cell^–1 h^–1) - q _LS,max maximum cell-specific limiting substrate uptake rate (mmol cell ^–1 h^–1) - q _Mab cell-specific antibody production rate (mg cell^–1 h^–1) - q _MAb,max maximum cell-specific antibody production rate (mg cell^–1 h^–1) - t time (h) - V _i volume of inner reactor chamber (culture chamber) (L) - V _o volume of outer reactor chamber (dialysis chamber) (L) - X _t total cell concentration (cells L^–1) - X viable cell concentration (cells L^–1) - Y _Lac/Glc kinetic production constant (stoichiometric ratio of lactate production and glucose uptake) (–)     

Continuous solvent production by Clostridium beijerinckii BA101 immobilized by adsorption onto brick

The performance of a continuous bioreactor containing Clostridium beijerinckii BA101 adsorbed onto clay brick was examined for the fermentation of acetone, butanol, and ethanol (ABE). Dilution rates from 0.3 to 2.5 h^–1 were investigated with the highest solvent productivity of 15.8 g l^–1 h^–1 being obtained at 2.0 h^–1. The solvent yield at this dilution rate was found to be 0.38 g g^–1 and total solvent concentration was 7.9 g l^–1. The solvent yield was maximum at 0.45 at a dilution rate of 0.3 h^–1. The maximum solvent productivity obtained was found to be 2.5 times greater than most other immobilized continuous and cell recycle systems previously reported for ABE fermentation. A higher dilution rate (above 2.0 h^–1) resulted in acid production rather than solvent production. This reactor was found to be stable for over 550 h. Scanning electron micrographs (SEM) demonstrated that a large amount of C. beijerinckii cells were adsorbed onto the brick support.     

The generation of high biomass from chlororespiring bacteria using a continuous fed-batch bioreactor

A continuous fed-batch reactor system was developed to rapidly obtain dense chlororespiring cultures of Anaeromyxobacter dehalogenans strain 2CP-C. A syringe pump continuously delivered concentrated 2,6-dichlorophenol (50–150 mM) to an anaerobic reactor vessel at a rate that sustained linear growth but prevented the substrate toxicity of chlorophenol. Dechlorination was not significantly inhibited by end product phenol up to 8 mM. A cell density of 76.8 mg protein l^–1 was obtained in 24 h. Specific growth rates averaged 0.033 h^–1at 50% substrate limitation, which was in agreement with the maximum specific growth rate of 0.068 h^–1. This reactor system provides an efficient, cost-effective, and convenient method to rapidly obtain dense dechlorinating biomass and is promising to accelerate investigations of enzymes involved in chlororespiration.     

Ferrous sulphate oxidation using Thiobacillus ferrooxidans cells immobilised in polyurethane foam support particles

Summary Oxidation of ferrous iron by Thiobacillus ferrooxidans cells passively immobilised in polyurethane foam particles, using both repeated batches and continuous operation, was studied in a laboratory-scale reactor. Repeated batches yielded complete oxidation at higher rates than single batches, providing resident inocula for subsequent batches. In continuous operation maximum ferric iron productivities were achieved at dilution rates well above theoretical washout values. At a dilution rate of 0.31 h^–1 [approximately three times the maximum specific growth rate (_max)], a productivity of 1.56 kg m^–3 h^–1, based on total ferric iron, or 1.0 kg m^–3 h^–1 based on dissolved ferric iron, was achieved. In addition, cells immobilised in the foam particles retained their oxidative ability for periods of up to 6 weeks when stored in the open air and could be reused immediately.     

Cultivation of the oleaginous yeast Cryptococcus curvatus in a new reactor with improved mixing and mass transfer characteristics (Surer®)

Summary Cultivation and lipid production using the yeast Cryptococcus curvatus has proven to be efficient in a fed-batch fermentation using a stirred tank reactor. Scale up of this reactor however results in changing mixing and mass-transfer characteristics. In this paper we report cultivation of the yeast in a new type of reactor (Surer^®), which can easily be scaled up. A high cell density (91 gl^–1) and a lipid production rate of 0.42 g lipid l^–1h^–1 were obtained.     

Potential of Thiobacillus ferrooxidans for waste gas purification. Part 2. Increase in continuous ferrous iron oxidation kinetics using immobilized cells

Thiobacillus ferrooxidans could be used to regenerate ferrous sulphate solution produced in a process to remove H₂S from waste gas if the reaction rate could be increased. The aim of the present study was to increase the volumetric productivity by using immobilized cells. Kinetic data of ferrous iron oxidation were determined in fixed-bed and fluidized-bed reactor configurations with different support materials in order to find the most practical system for scale-up. By using a fixed-bed reactor the iron oxidation rate can be increased to 3.6 g l^–1 h^–1, fivefold higher than suspended cells, and results in a bioreactor of reasonable size. With the kinetic data obtained, the biological reaction is no longer a limiting factor for industrial-scale application. Correspondence to: W. Schäfer-Treffenfeldt     

Ethanol production by immobilized whole cells ofZymomonas mobilis in a continuous flow expanded bed bioreactor and a continuous flow stirred tank bioreactor

Continuous ethanol fermentation by immobilized whole cells ofZymomonas mobilis was investigated in an expanded bed bioreactor and in a continuous stirred tank reactor at glucose concentrations of 100, 150 and 200 g L^–1. The effect of different dilution rates on ethanol production by immobilized whole cells ofZymomonas mobilis was studied in both reactors. The maximum ethanol productivity attained was 21 g L^–1 h^–1 at a dilution rate of 0.36 h^–1 with 150 g glucose L^–1 in the continuous expanded bed bioreactor. The conversion of glucose to ethanol was independent of the glucose concentration in both reactors.     

Continuous ethanol production byZymomonas mobilis andSaccharomyces cerevisiae in biofilm reactors

Continuous ethanol fermentations were performed in duplicate for 60 days withZymomonas mobilis ATCC 331821 orSaccharomyces cerevisiae ATCC 24859 in packed-bed reactors with polypropylene or plastic composite-supports. The plastic composite-supports used contained polypropylene (75%) with ground soybean-hulls (20%) and zein (5%) forZ. mobilis, or with ground soybean-hulls (20%) and soybean flour (5%) forS. cerevisiae. Maximum ethanol productivities of 536 gL^–1 h^–1 (39% yield) and 499 gL^–1 h^–1 (37% yield) were obtained withZ. mobilis on polypropylene and plastic composite-supports of soybean hull-zein, respectively. ForZ. mobilis, and optimal yield of 50% was observed at a 1.92h^–1 dilution rate for soybean hull-zein plastic composite-supports with a productivity of 96gL^–1h^–1, whereas with polypropylene-supports the yield was 32% and the productivity was 60gL^–1h^–1. With aS. cerevisiae fermentation, the ethanol production was less, with a maximum productivity of 76gL^–1h^–1 on the plastic composite-support at a 2.88h^–1 dilution rate with a 45% yield. Polypropylene-support bioreactors were discontinued due to reactor plugging by the cell mass accumulation. Support shape (3-mm chips) was responsible for bioreactor plugging due to extensive biofilm development on the plastic composite-supports. With suspensionculture continuous fermentations in continuously-stirred benchtop fermentors, maximum productivities of 5gL^–1h^–1 were obtained with a yield of 24 and 26% withS. cerevisiae andZ. mobilis, respectively. Cell washout in suspensionculture continuous fermentations was observed at a 1.0h^–1 dilution rate. Therefore, for continuous ethanol fermentations, biofilm reactors out-performed suspension-culture reactors, with 15 to 100-fold higher productivities (gL^–1h^–1) and with higher percentage yields forS. cerevisiae andZ. mobilis, respectively. Further research is needed with these novel supports to evaluate different support shapes and medium compositions that will permit medium flow, stimulate biofilm formation, reduce fermentation costs, and produce maximum yields and productivities.This is Journal Paper No. J-16357 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project No. 3253     

Continuous production of glucoamylase by immobilized growing cells ofAureobasidium pullulans

Summary Yeast-like cells ofAureobasidium pullulans were immobilized in Ca-alginate gel beads and employed for continuous production of glucoamylase in a fluidized-bed reactor (250 ml working volume). After an activation time of 48 h, to allow the in situ germination of the fungal blastospores, the reactor was operated continuously for over 150 h. A steady state enzyme concentration of 1.2–1.3 U ml^–1 of glucoamylase activity and an enzyme volumetric productivity of ca. 130 U ml^–1 h^–1 were obtained at a medium flow rate of 26 ml h^–1. Enzyme activity and volumetric productivity were influenced by fermentation conditions such as inoculum size and airflow rate.     

Continuous production ofl-lactic acid from whey permeate by immobilizedLactobacillus casei subsp.casei

Summary The production of l-lactic acid from whey permeate, a waste product of the dairy industry, by fermentation with the lactic acid bacterium Lactobacillus casei subsp. casei was investigated. A fermentation medium consisting of permeate and supplements, which enables exponential growth of the organisms, was developed. A fast method for determination of free and immobilized biomass in solid-rich media, based on measurement of cellular ATP, was evolved. Continuous fermentations in a stirred tank reactor (STR) and in a fluidized bed reactor (FBR) with immobilized biomass were compared. In the STR a volumetric productivity of 5.5 g/l per hour at 100% substrate conversion [dilution rate (D) = 0.22 h^–1] was determined. In the FBR porous sintered glass beads were used for immobilization and a maximum biomass concentration of 105 g/kg support was measured. A productivity of 10 g/l per hour was obtained at D = 0.4 h^–1 (substrate conversion 93%) and of 13.5 g/l per hour at D = 1.0 h^–1 (substrate conversion 50%). Offprint requests to: W. Krischke     

Production of xanthan by in-flow cultures of Xanthomonas campestris

The kinetics of xanthan formation in Xanthomonas campestris continuous and fed-batch fermentations was studied along with metabolic changes due to growth rate variation. A maximum growth rate within the range 0.11–0.12 h^–1 was obtained from the continuous culture data in defined medium, producing xanthan at rates up to 0.36 g l^–1 h^–1 corresponding to a maximum 67% glucose conversion at a dilution rate (D) of 0.05 h^–1. Comparatively, fed-batch cultivation was more efficient, producing maximum xanthan at 0.75 g l^–1 h^–1 and 63% glucose conversion at 0.1 h^–1. When reaching D=0.062 h^–1 in continuous cultures, a change was observed and the values of the specific rate of substrate consumption shifted, initiating an uncoupled growth region expressing a lack of balance of the catabolic and anabolic reactions. The deviation was not accompanied by a change in specific xanthan production indicating that xanthan metabolism was not affected by D. For fed-batch-grown X. campestris cells within the range D=0.03–0.1 h^–1, both metabolic parameters changed linearly with the growth rate showing a wide region coupled to growth. Outside that range, glucose accumulated and the specific xanthan production dropped, suggesting substrate inhibition. Correspondence to: J. C. Roseiro     

Cellulase production by Trichoderma reesei

Summary A model is proposed for the enzyme production by Trichoderma reesei (QM 9414), which assumes control of the active enzyme transport through the cell membrane as a key parameter for the enzyme activity change in the culture filtrate. In a stirred tank reactor, continuous cultivation of the fungus was carried out in the dilution rate range of D=0.01–0.032 h^–1. After changing the dilution rate it took 3–4 weeks to attain a steady state in enzyme activity. Reducing sugars, dissolved protein, enzyme activity (filter-paper and glucosidase activities), cellulose and nitrogen content of the sediment, the elementary analysis of the cell and the composition of the outlet gas were all determined during cultivation. At a dilution rate of D=0.025 h^–1 all of these properties change due to derepression (for D<0.025 h^–1) or repression (for D>0.025 h^–1) of the enzymes which are responsible for the active transport of cellulases from the cell into the medium. The cellulase excretion causes a decrease of the yield coefficient of growth and a reduction of the nitrogen content of the cells.In a two-stage system the time to attain a steady state increases to 4–6 weeks. At low dilution rates the enzyme activity is only slightly higher in the second stage than in the first. At high dilution rates, at which the enzyme is not excreted into the medium in the first stage, enzyme activity can be increased considerably in the second stage.     

Degradation of 3,4-dichloroaniline in synthetic and industrially produced wastewaters by mixed cultures freely suspended and immobilized in a packed-bed reactor

Summary Degradation of 3,4-dichloroaniline (34DCA) in aqueous by undefined cultures of free and immobilized cells was examined. Batch cultures of freely suspended cells and continuous degradation in a packed-bed reactor were studied using both synthetically concocted and industrially produced waste-waters. 34DCA was found to be degraded with a concomitant evolution of chloride ions into the bulk medium. The [acked bed reactor with biomass immobilized on celite diatomaceous earth was found to be capable of degrading over 98% of the 34DCA present in a synthetically concocted inlet stream at a concentration of 250 mg l^–1. Residence times of less than 4 h were employed, giving an overall volumetric degradation rate for the packed bed of 90 mg l^–1 h^–1. The industrially produced wastewater contained, in addition to 34DCA, aniline, 4-chloroaniline, 2,3-dichloroaniline (23DCA) and 3,4-dichloronitrobenzene. The biomass enriched on the synthetic 34DCA waste-water was found to be capable of degrading these compounds in addition to 34DCA with the exception of 23DCA. 34DCA degradation efficiencies of over 95% were obtained for the industrial waste-water at reactor residence times of 4.6 h, giving volumetric degradation rates of 24 mg l^–1 h^–1. Offprint requests to: A. G. Livingston     

Anaerobic fermentation of Salmonella typhimurium with and without pyruvate carboxylase

A plasmid that expressed pyruvate carboxylase (PYC) from Rhizobium etli was introduced into Salmonella typhimurium LT2. Anaerobic fermentations of S. typhimurium with and without PYC were compared with glucose as a carbon source. The presence of PYC increased the succinate yield from glucose from 0.044 g g^–1 to 0.22 g g^–1, while the lactate yield decreased from 0.31 g g^–1 to 0.16 g g^–1. Metabolic flux calculations during the early growth phase indicate that under these growth conditions in the presence of PYC more carbon flows to oxaloacetate via pyruvate carboxylase than via phosphoenolpyruvate carboxylase. Also, under these growth and induction conditions, the presence of PYC diminished the cell growth rate from 0.34 h^–1 to 0.28 h^–1, the specific rate of ATP formation from 45 mmol l^–1 h^–1 to 27 mmol l^–1 h^–1, and the specific rate of glucose consumption from 17 mmol l^–1 h^–1 to 10 mmol l^–1 h^–1.     

A photochemical fuel cell system using Anabaena N-7363

Summary A blue-green algae, Anabaena N-7363, was immobilized in 2% agar gel. The hydrogen productivity of the immobilized algae was three times higher than that of free algae. The maximum hydrogen production rate by the immobilized blue-green algae was 0.52 moles h^–1 g^–1 (of wet gel) in the medium without nitrogen sources under illumination (10,000 lux). The oxygen evolved was then removed by a reactor containing aerobic bacteria. A photo-current of 15–20 mA was continuously produced for 7 days by the photochemical fuel cell system consisting of the immobilized Anabaena reactor, the oxygen-removing reactor and the hydrogen-oxygen fuel cell. The conversion ratio of hydrogen to current was from 80% to 100%.     

Effect of the dilution rate on the biomass yield ofBacillus thuringiensis and determination of its rate coefficients under steady-state conditions

Depending on the biomass yield on glucose and the cell morphology ofBacillus thuringiensis, three different metabolic states were observed in continuous culture. At dilution rates between 0.18 h^–1 and 0.31 h^–1 vegetative cells, sporulating bacteria and spores coexisted, while glucose and amino acids were consumed. Only vegetative cells were observed at dilution rates between 0.42 h^–1 and 0.47 h^–1 and glucose was used as the main carbon and energy source. AtD = 0.50 h^–1 the biomass yield on glucose decreases sharply. To define better the specific growth rate range in which the microorganism uses mainly glucose, a dilution rate of 0.25–0.45 h^–1 was studied. The experimental data could be adjusted to a Monod model and the following rate coefficients and growth yields were determined: maximum specific growth rate 0.54 h^–1, saturation constant 0.56 mg glucose ml^–1, biomass growth yields 0.43 g cells (g glucose)^–1, and 0.76 g cells (g oxygen)^–1, and maintenance coefficients 0.065 g glucose (g cells)^–1 h^–1 and 0.039 g oxygen (g cells)^–1 h^–1.