Reactive extraction of penicillin G in hollow-fiber and hollow-fiber fabric modules

Penicillin G (Pen G) can be rapidly extracted in hollow-fiber liquid-liquid contactors using N-lauryl-N-trialkylmethylamine (Amberlite LA-2) as the extractant. n-Butylacetate is much better than decanol as a diluent for such an extraction, although decanol can give a partition coefficient four times larger. The overall mass transfer coefficient found is a function of aqueous flow on the lumen side of the fiber, and is less dependent on shell-side flow. In backextraction, the overall mass transfer coefficient determined is only one tenth that of the forward extraction, primarily because the hydrophobic hollow fibers used have a high mass transfer resistance under these conditions. The mass transfer experiments show that hollow-fiber extraction of Pen G is competitive with centrifugal extraction. The prospects for extraction of other fermentation products with hollow fibers can be estimated based on the present study.     

A membrane bioreactor for biotransformations of hydrophobic molecules

The Membrane Bioreactor for Biotransformations (MBB) is based on the aqueous/organic two-phase system, and uses a tubular silicone rubber membrane to separate the two liquid phases. This avoids the key problem associated with direct contact two-phase processes, specifically, product emulsification. The baker's yeast mediated reduction of geraniol to citronellol was used as a model biotransformation to demonstrate MBB operation. Values for the overall mass transfer coefficient were determined for geraniol, (2.0 x 10(-5) ms-1), and for citronellol, (2.1 x 10(-5) ms-1) diffusion across the silicone rubber membrane. Using these values, and the specific activity of the biocatalyst (5 nmols-1g biomass-1), a suitable membrane surface area: biomass ratio was determined as 2.4 x 10(-3) m2g biomass-1. The bioreactor was operated at this surface area: biomass ratio and achieved a product accumulation rate 90-95% that of a conventional direct contact two-phase system. The slight reduction in product accumulation rate was shown not to be due to mass transfer limitations with respect to reactant delivery or product extraction. Copyright 1998 John Wiley & Sons, Inc.     

Effect of fermentation broth and biosurfactants on mass transfer during liquid-liquid extraction

Mass transfer rates in liquid-liquid extraction processes can be seriously affected by the presence of surface-active contaminants. This is especially true of applications of a biotechnological origin, where the microorganism used in the process may produce the surface-active contaminants. An investigation into the effects of soluble and insoluble fermentation broth components on mass transfer using chloramphenicol extraction into octanol as the model system was conducted. Soluble components produced during fermentation were found to adsorb to the interface, where they reduced the overall mass transfer coefficient by up to 70%. After fractionation it was found that components in the weight range from 10-30 kDa had the greatest effect on mass transfer. Protein and phospholipid compounds of similar size were found to reduce the overall mass transfer coefficient to a similar extent to the broth components at concentrations around 0.001mg/l. The biomass produced during the fermentation also reduced mass transfer substantially, and it is likely that this was due to physical blockage of the interface.     

Extraction of polyphenols from white distilled grape pomace: optimization and modelling

Both ethanolic and aqueous extraction were carried out in a laboratory-scale vertical extractor to obtain polyphenols from distilled grape pomace of Vitis vinifera var. "Albari?o". An experimental design was performed to analyse the effects of flow (2 ml/min and 4 ml/min) and temperature (40 degrees C and 50 degrees C). Yields of polyphenolics from aqueous extraction were much higher (up to 30-fold) than those of ethanolic extraction, in contrast with previous results obtained by us from batch extraction of different grape varieties. Polyphenols extraction was modelled by application of second Fick's law to spherical particles of 0.5 mm diameter, so obtaining the effective diffusion coefficient as parameter. The mass transfer coefficients were also estimated, giving as result that the external mass transfer resistance was negligible. Correlation coefficients ranged 0.989-0.9999. Effective diffusivity values in water extraction assays were between 0.6x10(-11) m(2)/s and 2.1x10(-11) m(2)/s. Using ethanol as solvent, the effective diffusivity was lower, between 0.1x10(-11) m(2)/s and 0.76x10(-11) m(2)/s.     

Effect of nutrient limitation on product formation during continuous fermentation of xylose with <Emphasis Type="Italic">Thermoanaerobacter ethanolicus</Emphasis> JW200 Fe(7)

Thermoanaerobacter ethanolicus JW200 Fe(7) was grown in continuous culture, using xylose as the primary carbon source, with progressively lower concentrations of supplementary yeast extract. This enabled the comparison of metabolic flux to fermentation end-products under carbon-limited and carbon-sufficient (yeast extract-limited) conditions and the determination of process data under fully mass-balanced conditions. Under carbon-limitation, the specific ethanol-formation rate was described by q (p)=40.34 micro +3.74, the specific rate of substrate utilisation for maintenance was 0.31+/-0.02 g x g(-1) x h(-1) and the maximum cell yield on xylose, corrected for maintenance requirements, was 0.15+/-0.04 g x g(-1). Based on the product profiles, these corresponded to a maintenance coefficient of m(ATP)=4.1+/-0.5 mmol x g(-1) x h(-1) and a maximum cell yield of = 14.7+/-0.8 x g x mol(-1). Limitation by a component in yeast extract resulted in incomplete xylose utilisation, increased catabolic flux rates (primarily resulting in increased lactate production, due to limitations in the flux through the phosphoroclastic reaction), a reduction in cell yield = 10.0+/-1.0 g x mol(-1) and an increase in maintenance energy requirements of m(ATP)=7.95+/-0.7 mmol x g(-1). The latter was also reflected in a shift from ethanol to acetate production at lower growth rates. An analysis of ethanol and acetate tolerance indicated that any high-intensity process employing this strain would require a bioreactor design which incorporated continuous ethanol stripping.     

自絮凝酵母SPSC01在组合反应器系统中酒精连续发酵的研究

建立了一套由四级磁力搅拌发酵罐串联组成、总有效容积4000mL的小型组合生物反应器系统 ,其中一级罐作为种子培养罐。以脱胚脱皮玉米粉双酶法制备的糖化液为种子培养基和发酵底物 ,进行了自絮凝颗粒酵母酒精连续发酵的研究。种子罐培养基还原糖浓度为100g L ,添加 (NH₄)₂HPO₄ 和KH₂PO₄ 各 20g L ,以0.017h^-1 的恒定稀释速率流加 ,并溢流至后续酒精发酵系统。发酵底物初始还原糖浓度 220g/L ,添加 (NH₄)₂HPO₄ 15g/L和KH₂PO₄2 5g/L ,流加至第一级发酵罐 ,稀释速率分别为 0.017、0.025、0.033、0.040和0.05 0h^-1。实验数据表明 ,自絮凝颗粒酵母在各发酵罐中呈部分固定化状态 ,在稀释速率0.040h^-1 条件下 ,发酵系统呈一定的振荡行为 ,其他四个稀释速率实验组均能够达拟稳态。当稀释速率不超过 0 0 33h^-1 ,流出末级发酵罐的发酵液中酒精浓度可以达到 12 % (V/V)以上 ,残还原糖和残总糖分别在 0 11%和 0 35 % h^-1,流出末级发酵罐的发酵液中酒精浓度可以达到12%（V/V）以上,残还原糖和残总糖分别在0.11%和0.35%（W/V）以下。在稀释速率为0.033h^-1时,计算发酵系统酒精的设备生产强度指标为3.32（g·L^-1·h^-1）,与游离酵母细胞传统酒精发酵工艺相比,增加约1倍。     

The permeability of EUDRAGIT RL and HEMA-MMA microcapsules to glucose and inulin

Measurement of the rate of glucose diffusion from EUDGRAGIT RL and HEMA-MMA microcapsules coupled with a Thiele modulus/Biot number analysis of the glucose utilization rate suggests that pancreatic islets and CHO (Chinese hamster ovary) cells (at moderate to high cell densities) should not be adversely affected by the diffusion restrictions associated with these capsule membranes. The mass transfer coefficients for glucose at 20 degrees C were of the same order of magnitude for both capsules, based on release measurements: approximately 5 x 10(-6) cm/s for EUDRAGIT RL and approximately 2 x 10(-6) for HEMA-MMA. Inulin release from EUDRAGIT RL was slower than for glucose (mass transfer coefficient 14 +/- 4 x 10(-8) cm/s). The Thiele moduli were much less than 1, either for a single islet at the center of a capsule or CHO cells uniformly distributed throughout a capsule at 10(-6) cells/ mL, so that diffusion restrictions within the cells in EUDRAGIT RL or 800 mum HEMA-MMA capsules should be negligible. The ratio of external to internal diffusion resistance (Biot number) was less than 1, so that at most, only a small diffusion effect on glucose utilization should be expected (i.e., the overall effectiveness factors were greater than 0.8). These calculations were consistent with experimental observation of encapsulated islet behavior but not fully with CHO cell behavior. Permeability restricted cell viability and growth is potentially a major limitation of encapsulated cells; further analysis is warranted.     

Water self-diffusion behavior in yeast cells studied by pulsed field gradient NMR

The water self-diffusion behavior in yeast cell water suspension was investigated by pulsed field gradient NMR techniques. Three types of water were detected, which differ according to the self-diffusion coefficients: bulk water, extracellular and intracellular water. Intracellular and extracellular water self-diffusion was restricted; the sizes of restriction regions were approximately 3 and 15-20 microm, respectively. The smallest restriction size was determined as inner cell size. This size and also cell permeability varied with the growth phase of yeast cell. Cell size increased, but permeability decreased with increasing growth time. The values of cell permeabilities P(1)(d) obtained from time dependence of water self-diffusion coefficient were in good agreement with the permeabilities obtained from the exchange rate constants P(1)(eff). The values of P(1)(eff) were 7 x 10(-6), 1.2 x 10(-6) and 1.6 x 10(-6) m/s, and P(1)(d) were 6.3 x 10(-6), 8.4 x 10(-7), 1.5 x 10(-6) m/s for yeast cells incubated for 9 h (exponential growth phase), 24 h (end of exponential growth phase), and 48 h (stationary growth phase), respectively.     

Co-extraction during reactive extraction of phenylalanine using Aliquat 336: interfacial mass transfer

Reactive liquid-liquid extraction can be used to separate hydrophilic fermentation products that would not otherwise partition into nonpolar solvents. However, during extraction of the target solute other compounds present in the extraction medium will also react with the ion exchange reagent and are thus co-extracted. In this study the effect of co-extraction on the interfacial flux of the target solute phenylalanine has been investigated for reactive extraction using Aliquat 336. The effect of co-extracting compounds has been included in a new interfacial flux balance, and experimental results reveal that the interfacial concentrations are equal to the final equilibrium conditions of the system. Using this information a simple mass transfer model has been developed from which film mass transfer coefficients may be determined. Co-extraction of other compounds present in the feed was found to reduce the interfacial flux of the target solute by reducing the driving force. Co-extraction did not affect the value of the film mass transfer coefficient, and therefore, co-extraction does not effect the transport properties of the solute to the interface. Extraction from a multicomponent fermentation broth resulted in a reduced flux, which arises from a reduction in the driving force caused by high levels of co-extraction. Furthermore, the flux was also reduced as the result of a mass transfer resistance caused by soluble surface-active compounds present in the fermentation broth adsorbing to the interface. The biomass associated with the fermentation broth was also found to reduce the solute flux, and it is believed that this is due to blockage of the interfacial area.     

Effect of temperature on the extraction kinetics and diffusivity of Cyclosporin A in the fungus Tolypocladium inflatum

The influence of temperature on the extraction kinetics of Cyclosporin A (CyA) from the mycelia of Tolypocladium inflatum was examined in this study. The extraction of CyA from mycelia was performed in a 2-L stirred, baffled vessel using 30% v/v aqueous methanol. The temperature range used was from 5 to 45 degrees C. A linear relationship was found between the extraction yield of CyA and temperature. As the temperature increased, the yield of CyA increased with a maximum CyA yield of 18.3% obtained at 45 degrees C, which is 21.3% higher than the yield at 25 degrees C. The activation energy for the extraction of CyA from T. inflatum was found to be 36.7 kJ/mol, which indicates that the extraction of CyA from T. inflatum is controlled by both solubilization of CyA and diffusion of CyA through the solid phase of mycelia. The overall mass transfer coefficient, k(L)a(S), was found to increase from 1.02 x 10(-3) to 1.34 x 10(-2) s(-1) as the temperature increased from 5 to 45 degrees C. The effective diffusivity of CyA in the solid matrix of mycelia was found to increase from 1.05 x 10(-15) to 1.43 x 10(-14) m(2)/s as the temperature increased from 5 to 45 degrees C. A mathematical diffusion model was developed and was used to fit the experimental kinetic data of CyA extraction and determination of CyA effective diffusivities at different temperatures. This is the first time CyA diffusivities as a function of extraction temperature are reported in the literature.     

Design of a ruthenium-labeled cytochrome c derivative to study electron transfer with the cytochrome bc1 complex

A new ruthenium-cytochrome c derivative was designed to study electron transfer from cytochrome bc1 to cytochrome c (Cc). The single sulfhydryl on yeast H39C;C102T iso-1-Cc was labeled with Ru(2,2'-bipyrazine)2(4-bromomethyl-4'-methyl-2,2'-bipyridine) to form Ru(z)-39-Cc. The Ru(z)-39-Cc derivative has the same steady-state activity with yeast cytochrome bc1 as wild-type yeast iso-1-Cc, indicating that the ruthenium complex does not interfere in the binding interaction. Laser excitation of reduced Ru(z)-39-Cc results in electron transfer from heme c to the excited state of ruthenium with a rate constant of 1.5 x 10(6) x s(-1). The resulting Ru(I) is rapidly oxidized by atmospheric oxygen in the buffer. The yield of photooxidized heme c is 20% in a single flash. Flash photolysis of a 1:1 complex between reduced yeast cytochrome bc1 and Ru(z)-39-Cc at low ionic strength leads to rapid photooxidation of heme c, followed by intracomplex electron transfer from cytochrome c1 to heme c with a rate constant of 1.4 x 10(4) x s(-1). As the ionic strength is raised above 100 mM, the intracomplex phase disappears, and a new phase appears due to the bimolecular reaction between solution Ru-39-Cc and cytochrome bc1. The interaction of yeast Ru-39-Cc with yeast cytochrome bc1 is stronger than that of horse Ru-39-Cc with bovine cytochrome bc1, suggesting that nonpolar interactions are stronger in the yeast system.     

The effects of the oxygen transfer coefficient and substrate concentration on the xylose fermentation by Debaryomyces hansenii

Relevant production of xylitol by Debaryomyces hansenii requires semiaerobic conditions since in aerobic conditions the accumulated reduced adenine dinucleotide coenzyme is fully reoxidized leading to the conversion of xylitol into xylulose. For oxygen transfer coefficient values from 0.24 to 1.88 min^-1, in shake flasks experiments, biomass formation increased proportionally to the aeration rate as shown in the oxygen transfer coefficient and xylose concentration isoresponse contours. The metabolic products under study, xylitol and ethanol were mainly growth associated. However, for oxygen transfer coefficient above 0.5 min^-1 higher initial xylose concentration stimulated the rate of production of xylitol. This fact was less evident for ethanol production. The direct relationship between increased biomass and products formation rate, indicated that the experimental domain in respect to the aeration rate was below the threshold level before the decreasing in metabolic production rates reported in literature for xylose-fermenting yeasts. The fact that ethanol was produced, albeit in low levels, throughout the experimental design indicated that the semiaerobic conditions were always attained. Debaryomyces hansenii showed to be an important xylitol producer exhibiting a xylitol/ethanol ratio above four and a carbon conversion of 54% for xylitol.Abbreviations K_La oxygen transfer coefficient - DO(T) dissolved oxygen (tension) - OUR oxygen uptake rate - NAD(H) oxidised (reduced) nicotinamide adenine dinucleotide - NADP(H) oxidised (reduced) nicotinamide adenine dinucleotide phosphate - CRC catabolic reduction charge - C oxygen concentration in the culture medium - C^* oxygen concentration at saturation conditions - Y_i response from experiment i - parameters of the polynomial model - x experimental factor level (coded units) - R² coefficient of multiple determination - t time     

Kinetics of the extraction of succinic acid with tri-n-octylamine in 1-octanol solution

Kinetic studies for the extraction of succinic acid from aqueous solution with 1-octanol solutions of tri-n-octylamine (TOA) were carried out using a stirred cell with a microporous hydrophobic membrane. The interfacial concentrations of species were correlated and thus the intrinsic kinetics was obtained. The overall extraction process was controlled by the chemical reaction at or near the interface between the aqueous and organic phases. The formation reaction of succinic acid-TOA complex was found to be first order with respect to the concentration of succinic acid in the aqueous phase and the order of 0.5 with respect to that of TOA in the organic phase with a rate constant of (3.14 +/- 0.6) x 10(-8) m(2.5) x mol(-0.5) x s(-1). The dissociation reaction of succinic acid-TOA complex was found to be the second-order with respect to that of succinic acid-TOA complex in the organic phase and the order of -2 with respect to that of TOA in the organic phase with a rate constant of (1.44 +/- 1.4) x 10(-4) mol x m(-2) x s(-1).     

Membrane bioreactor with a porous hydrophobic membrane as a gas-liquid contactor for waste gas treatment

A novel type of bioreactor for waste gas treatment has been designed. The reactor contains a microporous hydrophobic membrane to create a large interface between the waste gas and the aqueous phase. To test the new reactor, propene was chosen because of its high air/water partition coefficient, which causes a low water concentration and hampers its removal from air. Propene transfer from air to a suspension of propene-utilizing Xanthobacter Py2 cells in the membrane bioreactor proved to be controlled by mass transfer in the liquid phase. The resistance of the membrane was negligible. Simulated propene transfer rates agreed well with the experimental data. A stable biofilm of Xanthobacter Py2 developed on the membrane during prolonged operation. The propene flux into the biofilm was 1 x 10(-6) mol m(-2) s(-1) at a propene concentration of 9.3 x 10(-2) mol m(-3) in the gas phase. (c) 1995 John Wiley & Sons, Inc.     

Local overall volumetric gas-liquid mass transfer coefficients in gas-liquid-solid reversed flow jet loop bioreactor with a non-Newtonian fluid

The local overall volumetric gas-liquid mass transfer coefficients at the specified point in a gas-liquid-solid three-phase reversed flow jet loop bioreactor (JLB) with a non-Newtonian fluid was experimentally investigated by a transient gassing-in method. The effects of liquid jet flow rate, gas jet flow rate, particle density, particle diameter, solids loading, nozzle diameter and CMC concentration on the local overall volumetric gas-liquid mass transfer coefficient (K(L)a) profiles were discussed. It was observed that local overall K(L)a profiles in the three-phase reversed flow JLB with non-Newtonian fluid increased with the increase of gas jet flow rate, liquid jet flow rate, particle density and particle diameter, but decreased with the increase of the nozzle diameter and CMC concentration. The presence of solids at a low concentration increased the local overall K(L)a profiles, and the optimum of solids loading for a maximum profile of the local overall K(L)a was found to be 0.18x10(-3)m(3) corresponding to a solids volume fraction, varepsilon(S)=2.8%.     

Influence of exponentially decreasing feeding rates on fed-batch ethanol fermentation of sugar cane blackstrap molasses

Summary The ethanol yield was not affected and the ethanol productivity was increased when exponentially decreasing feeding rates were used instead of constant feeding rates in fed batch ethanol fermentations. The influences of the initial sugar feeding rate on the ethanol productivity, on the constant ethanol production rate during the feeding phase and on the initial ethanol production specific rate are represented by Monod-like equations.Nomenclature F reactor feeding rate (L.h^–1) - F_o initial reactor feeding rate (L.h^–1) - K time constant; see equation (l) (h^–1) - M_E mass of ethanol in the fermentor (g) - M_s mass of TRS in the fermentor (g) - M_x mass of yeast cells (dry matter) in the fermentor (g) - P ethanol productivity (g.L^–1.h^–1) - R ethanol constant production rate during the feeding phase (g.h^–1) - s standard deviation - S_o TRS concentration in the feeding mash (g.L^–1) - t time (h) - T fermentor filling-up-time (h) - T time necessary to complete the fermentation (h) - TRS total reducing sugars calculated as glucose (g.L^–1) - V_o volume of the inoculum (L) - V_f final volume of medium in the fermentor (L) - X_o yeast concentration of the inoculum (dry matter) (g.L^–1) - ethanol yield (% of the theoretical value) - initial specific rate of ethanol production (h^–1)     

The scale-up of plant cell culture: Engineering considerations

The enormous versatility of plants has continued to provide the impetus for the development of plant tissue culture as a commercial production strategy for secondary metabolites. Unfortunately problems with slow growth rates and low products yields, which are generally non-growth associated and intracellular, have made plant cell culture-based processes, with a few exceptions, economically unrealistic. Recent developments in reactor design and control, elicitor technology, molecular biology, and consumer demand for natural products, are fuelling a renaissance in plant cell culture as a production strategy. In this review we address the engineering consequences of the unique characteristics of plant cells on the scale-up of plant cell culture.Abbreviations a gas-liquid interfacial area per volume - C dissolved oxygen concentration - C^* liquid phase oxygen concentration in equilibrium with the partial pressure of oxygen in the bulk gas phase - K_L overall mass transfer coefficient - k_L liquid film mass transfer coefficient - m_O2 cell maintenance coefficient for oxygen - OTR oxygen transfer rate - OUR oxygen uptake rate - pO₂ partial pressure of oxygen - STR stirred-tank reactor - v.v.m. volume of gas fed per unit operating volume of reactor per minute - X biomass concentration - Y_x/O2 biomass yield coefficient for oxygen - specific growth rate     

自絮凝颗粒酵母乙醇连续发酵耦合酵母回用工艺的研究

模拟现有酒精发酵行业普遍采用的多级发酵罐串联系统,建立了一套由三级串联操作的搅拌式发酵罐和两个沉降罐组成的反应器系统,以脱胚脱皮玉米粉双酶法制备的糖化液为发酵底物,培养基初始还原糖浓度为220g/L,添加(NH4)2HPO41.5g/L和KH2PO42.5g/L,以0.057h-1的恒定稀释速率流加,将自沉降浓缩后的酵母乳先后经活化和不活化两种方式处理并循环至第一级发酵罐,系统在两种操作条件下分别达到了拟稳态。实验结果表明活化处理对改善发酵工艺技术指标方面发挥了显著的作用,发酵终点乙醇浓度达到101g/L,还原糖和残总糖分别在3.2和7.7g/L左右,发酵系统的设备生产强度指标为5.77g/(L.h),与无酵母回用的搅拌式反应器系统中自絮凝颗粒酵母乙醇发酵工艺相比,提高了70%。     

Effect of oxygen on ethanol fermentation in packed-bed tapered-column reactor

Summary In ethanol production with immobilized yeast a major problem is the provision of nutrients to these highly concentrated cells. O₂ being one of the nutrients of utmost importance to yeast cells, was fed into a column packed with beads with a cell loading of more than 40 g/l. Since addition of large volume of air or O₂ to a cylindrical column reactor would aggravate the problems of pressure build up and channelling caused by the evolving CO₂ gas, a tapered-column reactor and pulsed flow of oxygen gas was used. The supplement of O₂ gas to the tapered column increased the productivity from 21.1 g ethanol x (l gel x h)^-1 to 26.7 g x (l gel x h)^-1, when the ethanol concentration at the outlet was about 80 g/l. The yield coefficient of ethanol was also increased from 0.41 g ethanol/g glucose to 0.43 after O₂ supplement was started. The effects of frequency and duration of O₂ supplement were also determined.     

Continuous acetone-butanol production with direct product removal

Summary To eliminate the product inhibition and increase the productivity of butanol formation, a continuously operated membrane bioreactor was connected to a four-stage mixer-settler cascade. Clostridium acetobutylicum was cultivated in this reactor. Butanol was selectively extracted with butyric acid saturated n-decanol from the cell-free cultivation medium, and the butanol-free medium was refed into the reactor. Due to the high boiling point of decanol, the recovery of butanol from the decanol solution is easy. The partition coefficient and selectivity of butanol in the cultivation medium-decanol-system is sufficiently high for removing it from the medium. Direct contact of the cells with the decanol phase causes cell damage. However, decanol is practically insoluble in the fermentation medium, thus the contact of the cell-free medium with the solvent phase does not influence of cell growth and product formation. At a dilution rate of D _z=0.1 h^-1, the butanol productivity was increased by removing butanol from the medium by a factor of four. A further increase was prevented by a contaminant of the technical decanol, which was identified by GC-MS-analysis as 1-,3-hexandiol.Symbols D dilution rate, h^-1 - D _eff effective dilution rate (Eq. 3), h^-1 - D _Ex extraction dilution rate (Eq. 3), h^-1 - D _g dilution rate of cell suspension in reactor-filter-system, h^-1 - E degree of extraction (Eq. 3), l - P product concentration in medium after extraction, g l^-1 - P _O product concentration in reactor, g l^-1 - R _P productivity and product formation rate, g l^-1 h^-1 - q _p S specific product formation coefficient with regard to the cell growth rate, l - V _F volume of cell suspension in filter module, l - V _g volume of the cell suspension in reactor and in filter module V _g =V _R +V _F , l - V _R volume of cell suspension in ractor, l - v _O cell free feed rate, l h^-1 - v ₁ flow rate of cell suspension leaves the reactor, l h^-1 - v _E flow rate of decanol through the extractor, l h^-1 - v _w flow rate of the cell free medium through the filter modul, l h^-1 - X cell mass concentration, g l^-1 - specific growth rate of the cells, h^-1 Dedicated to Professor Dr. H. J. Rehm on the occasion of his 60th birthday