Intracellular activity of morphologically identified neurons of the grass frog's optic tectum in response to moving configurational visual stimuli

Summary In the grass frogRana temporaria, various classes of tectal neurons were identified by means of intracellular recording and iontophoretic staining using potassium-citrate/Co³⁺-lysine-filled micropipettes, which have been defined previously by extracellular recording methods. Class T5(1) neurons had receptive fields (RF) of 33°±5° diameter. In response to a moving 8°×8° square (S), a 2°×16° worm-like (W), or a 16°×2° antiworm-like (A) moving stripe, these cells showed excitatory postsynaptic potentials (EPSPs) and spikes which were interrupted occasionally by small inhibitory postsynaptic potentials (IPSPs). The excitatory responses (R) were strongest towards the square (R_S) and less to the worm (R_W). For the antiworm (R_A) the responses were smallest or equal to the worm stimulus yielding the relationship R_S>R_WR_A. Some of these cells were identified as pear-shaped or large ganglionic neurons, whose somata were located in the tectal cell layer 8. The somata of other large ganglionic neurons were found in layer 7 and the somata of other pear-shaped neurons at the top of layer 6, both displaying T5(1) properties. Class T5(2) neurons (RF=34°±3°) responded with large EPSPs and spikes, often interrupted by small IPSPs, when their RF was traversed by the square stimulus. The excitatory activity was somewhat less to the worm stimulus, whereas no activity at all, or only IPSPs, were recorded in response to the antiworm-stimulus; thus yielding the relationship for the excitatory activity R_S>R_W>R_A 0. Such a cell was identified as pyramidal neuron; the soma was located at the top of layer 6, with the long axon travelling into layer 7 to the medulla oblongata. Class T5(3) neurons (RF=29°±6°) showing EPSPs and spikes according to the relationship R_S>R_A>R_W have been identified as large ganglionic neurons. Their somata were located in layer 8. Class T5(4) neurons (RF=24±7°) responded only to the square stimulus with EPSPs and spikes, sometimes interrupted by IPSPs and yielding the relationship R_S>R_AR_W0. The somata of these large ganglionic or pear-shaped neurons were located in layer 8. Class T1(1) neurons (RF=30°–40°) were most responsive to stimuli moving at a relatively long distance in the binocular visual field, and have been identified as pear-shaped neurons. Their somata were located in layer 6.Further neurons are described and morphologically identified which have not yet been classified by extracellular recording methods. For example,IPSP neurons (RF=20°–30°) responded (R) with IPSPs only according to the relationship R_S>R_A R_W. The somata of these pear-shaped neurons were located in layer 6.The properties of tectal cells in response to electrical stimulation of the optic tract and to brisk changes of diffuse illumination suggest certain neuronal connectivity patterns. The results support the idea ofintegrative functional units (assemblies) of connected cells which are involved in various perceptual processes, such as configurational prey selection expressed by T5(2) prey-selective neurons.Abbreviations A antiworm-like 16°×2° stripe stimulus with long axis perpendicular to the direction of movement - W wormlike 2°×16° stripe stimulus with long axis oriented parallel to the direction of movement - S square 8°×8° moving stimulus - ERF excitatory receptive field - IRF inhibitory receptive field - RF receptive field - EPSP excitatory postsynaptic potential - IPSP inhibitory postsynaptic potential     

Ethanol fermentation by flocculating yeast: Performance and stability dependence on a critical fermentation rate

Summary A system coupling fermentor and decantor permitted strong accumulation of yeast flocs that were homogeneously suspended in the reactional volume. At 100–190 g/l glucose feed practically total substrate conversion was attained. At 130 g/l glucose feed the highest productivity (18.4 g.l.h) and the highest ethanol yield (90.6%) were reached with biomass levels of 80–90 g/l. We observed that the stability of this system is limited when a critical fermentation rate (D.S_o) close to 39–40 g/l.h (with corresponding ethanol productivities of 19–20 g/l.h) is reached. Higher fermentation rates provoked de-flocculation and lost of biomass.Symbols D dilution rate (h^–1) - E ethanol (g/l) - S_r residual substrate (g/l) - S_o substrate in the feed (g/l) - X biomass (g/l) - ethanol yield (%) - DS_o fermentation rate (g/l.h) (for S_r0) - P_E ethanol productivity (g/l.h)     

Analysis of mobility of protein side chains by spin label technique

Five spin labeled derivatives of a neurotoxin from cobra venom were analyzed by the earlier suggested method. The procedure was adjusted to the complex motional behaviour of the label. Each protein derivative carried covalently bound spin label on different lysine residues. In two derivatives, at positions Lys44 and Lys46, the labels were strongly mobile, whereas for other three derivatives modified at Lys15, Lys25 and Lys26 the label was less mobile with respect to the protein molecule, which made possible determination of the rotational correlation time of the protein molecule (2.8±0.3 ns). The rotational correlation time was in good agreement with the calculated value for the rigid sphere of the corresponding molecular weight. On the basis of the estimate of the anisotropic motion degree, it was found from the order parameter S that the label mobility increases in the following series of lysine residues: Lys26, Lys25, Lys15, Lys46, and Lys44. From the analysis of positions of outer wide peaks in ESR spectra obtained by varying temperature and viscosity of the medium, we determined the parameters for computer simulation. The theoretical and experimental spectra were found to be in good agreement.Nomenclature rotational correlation time of the protein molecule - _l rotational correlation time of the spin label - 2A _Z , 2A the rigid limit distance between OWP and IWP, respectively, for ESR spectra of spin labeled proteins - 2, 2 the averaged limit distance between the OWP and IWP correspondingly mobile spin label to respect of protein moiety with; = - 2A',2A distance between OWP and IWP in the ESR spectra of spin labeled proteins for any T and media Abbreviations SL spin label - NT neurotoxin II from cobra venom - NT-SL-Lys44 neurotoxin spin labeled at Lys44 residue - OWP outer wide peaks in the immobilized ESR spectra - IWP inner wide peaks in the immobilized ESR spectra - WL the residual linewidth     

Long term shear effects on a hybridoma cell line by dynamic perfusion devices

The long term shear effects on a hybridoma cell line were studied by the simulation of a hollow fiber perfusion system. Various mechanical/environmental stress conditions were applied and steady state concentrations of live, dead and lysed cells were measured or calculated in a continuous culture. From mathematical modeling, it is shown that inclusion of a lysed cell index (LCI) renders a better fit to the material balance equation at steady state. The specific cell death rate increased with increasing shear force as expected only when the LCI was included. Without the inclusion of the LCI, the calculated specific cell growth rates are about 25–60% of the value when included. The results reported may lend some insight to design improvements since most perfusion devices add shear stresses to the cells in the reactor.List of Symbols b ml/hr continuous culture flow rate - D hr^–1 dilution rate (b/V) - m g glucose/10⁹ cells/hr specific maintenance coefficient - S ₀ g/l feed substrate concentration - S g/l reactor substrate concentration - t hr time - V ml reactor volume - X ⁺ cells/ml live cell concentration - X ^– cells/ml dead cell concentration - X ⁰ cells/ml lysed cell concentration - Y _x/s 10⁹ cells/g glucose cell/substrate yield coefficient - hr^–1 specific growth rate - hr^–1 specific death rate - hr^–1 specific lysis rate - hr^–1 specific lysis rate for simultaneous death and lysis     

Gas exchange strategy in the Nile crocodile: a morphometric study

Summary The respiratory surface area (S_AR) per kilogram body mass (M_B), the harmonic mean thickness of the air-blood barrier (_htR) in the gas exchange tissue, and the anatomical diffusion factor (ADF=S_AR/_htR per M_B) were calculated for four juvenile Nile crocodiles. The ADF of three small specimens (mean M_B=3.59 kg) was 625 cm²·m^–1·kg^–1. The values varied considerably among individuals and were similar to that of a 5.68-kg specimen (593 cm²·m^–1·kg^–1). Only 9% of the ADF is located in the anterior third of the lung, which because of its conical shape makes up only 14 percent of the total lung volume. Particularly in the middle third of the lung, the proximal region near the intrapulmonary bronchus displays a greater ratio of respiratory/non-respiratory surface areas than do more distally located sampling sites. The _htR is also significantly smaller proximally than distally. The cumulative ADF per unit M_B is greater than that previously reported for this species on the basis of overall estimates of S_AR and _htR, but is still less than that of lizards and testudinids. The disposition of ADF between distal air storage region and the intrapulmonary bronchus is consistent with a bidirectional cross-current gas exchange model.Abbreviations ADF anatomical diffusion factor - %AR percent of S_A included in the effective respiratory zone - M _B body mass - NVP non-ventilatory period - %P percent of total lung volume containing parenchyma - S _A total surface area of intrapulmonary septa - S _ANR that portion ofS _A lying out the effective respiratory zone - S _V surface-to-volume ratio in the parenchyma - _htR harmonic mean thickness of the air-blood tissue barrier within the respiratory zone - V _P parenchymal volume - VP ventilatory period     

The effect of low oxygen uptake rate on the fatty acid profile of the oleaginous yeast Apiotrichum curvatum

Summary The effect of limiting the available oxygen on the fatty acid profile of Apiotrichum curvatum ATCC 20509 during growth on sulphuric acid casein whey was studied. At oxygen uptake rates (OUR) lower than 7 mmol O₂/l per hour, applied during the oil accumulating phase of the fermentation, a decrease in total unsaturated fatty acids was observed. It was possible to decrease the unsaturated fatty acids (oleate from 55% to 41% and linoleate from 9% to 3%) by limiting the OUR of the culture to <3 mmol O₂/l per hour. However at this low OUR, a lower oil coefficient (a measure of the efficiency of lactose substrate conversion to oil) was recorded. Furthermore the fermentation time was increased. An OUR of 5 mmol O₂/l per hour appeared to be the limit below which adverse effects on oil yields and increased fermentation times occurred. At this OUR, the accumulated oil contained 45% oleate and 5% linoleate. These effects were demonstrated in a 20-l air-lift fermentor and confirmed in a scaled down 500-l industrial type bubble column fermentor. Offprint requests to: R. J. Davies     

Separation and characterization of the complexes constituting the cellulolytic enzyme system of Clostridium thermocellum

Clostridium thermocellum, strain JW20 (ATCC 31449) when growing in cellulose produces a cellulolytic enzyme system, that at the early stage of the fermentation is largely bound to the substrate. As cellulose is consumed the bound enzyme is released as free enzyme to the culture fluid. The bound enzyme fraction extracted with distilled water from the cellulose contains two major components, a large complex (M_r100×10⁶) and a small complex M_r4.5×10⁶) which were separated by gel filtration and sucrose solved by affinity chromatography into a complex that binds to the column and into a non-bindable mixture of proteins. All four fractions have endo--glucanase activity but only the two bound complexes and the free bindable complex hydrolyze crystalline cellulose with cellobiose as the main product. These three complexes are qualitatively similar in that they each contain about 20 different polypeptides (M_r values from 45,000 to 200,000) of which about ten are major components. However, the relative amounts of some of the peptides in the complexes differ. At least four polypeptides of the complexes have endo--glucanase activity.Abbreviations CM cellulose, carboxymethyl cellulose - CMCase carboxymethyl cellulase cosidered endo--1,4-glucanase - SDS sodium dodecyl sulfate - YAS yellow affinity substance - YAS-cellulose yellow affinity substance-cellulose complex     

The malonyl gramicidin channel: NMR-derived rate constants and comparison of calculated and experimental single-channel currents

Summary Malonyl gramicidin is incorporated into lysolecithin micelles in a manner which satisfies a number of previously demonstrated criteria for the formation of the transmembrane channel structure. By means of sodium-23 nuclear magnetic resonance, two binding sites are observed: a tight site and a weak site with binding constants of approximately 100m ^–1 and 1m ^–1, respectively. In addition, off-rate constants from the two sites were estimated from NMR analyses to bek _off ^t 3×10⁵/sec andk _off ^w 2×10⁷/sec giving, with the binding constants, the on-rate constants,k _on ^t 3×10⁷/msec andk _on ^w 2×10⁷/m sec.Five different multiple occupancy models with NMR-restricted energy profiles were considered for the purpose of calculating single-channel currents as a function of voltage and concentration utilizing the four NMR-derived rate constants (and an NMR-limit placed on a fifth rate constant for intrachannel ion translocation) in combination with Eyring rate theory for the introduction of voltage dependence.Using the X-ray diffraction results of Koeppe et al. (1979) for limiting the positions of the tight sites, the two-site model and a three-site model in which the weak sites occur after the tight site is filled were found to satisfactorily calculate the experimental currents (also reported here) and to fit the experimental currents extraordinarily well when the experimentally derived values were allowed to vary to a least squares best fit. Surprisingly the best fit values differed by only about a factor of two from the NMR-derived values, a variation that is well within the estimated experimental error of the rate constants.These results demonstrate the utility of ion nuclear magnetic resonance to determine rate constants relevant to transport through the gramicidin channel and of the Eyring rate theory to introduce voltage dependence.     

The fixation probability of a beneficial allele in a population dividing by binary fission

We derive formulae for the fixation probability, P, of a rare benefical allele segregating in a population of fixed size which reproduces by binary fission, in terms of the selection coefficient for the beneficial allele, s. We find that an earlier result P 4s does not depend on the assumption of binary fission, but depends on an assumption about the ordering of events in the life cycle. We find that P 2s for mutations occurring during chromosome replication and P 2.8s for mutations occurring at random times between replication events.     

Conformational Polymorphism and Extensibility of DNA Quadruplexes Formed by d(GT)nRepeats

We showed earlier that oligonucleotides 3"-d(GT)₅-pO(CH₂CH₂O)₃p-d(GT)₅-3" form bimolecular quadruplexes with parallel orientation of their strands, which are held by guanine quartets alternating with unpaired thymines (GT quadruplex). This work deals with the conformational polymorphism and extensibility of G quadruplexes in complex with molecules of an intercalating agent ethidium bromide (EtBr). A cooperative mechanism of EtBr binding to the GT quadruplex was revealed. The binding constant K= (3.3 ± 0.1)·10⁴M^–1, cooperativity coefficient = 2.5 ± 0.2, and maximal amount of EtBr molecules intercalated in GT quadruplex (N= 8) were determined. It was proved experimentally by analysis of adsorption isotherms and theoretically by mathematical modeling that the GT quadruplex is capable of double extension, which is indicative of the high elasticity of this four-stranded helix. Two most stable conformations of GT quadruplexes with thymine residues intercalated and/or turned outside were found by mechanico-mathematical modeling. The equilibrium is shifted toward the conformation with the looped out thymine residues upon intercalation of EtBr molecules into the GT quadruplex.     

β-Glucan synthetase activity in Golgi vesicles ofPetunia hybrida

-Glucan synthetase activity has been demonstrated in a Golgi vesicle fraction isolated from pollen tubes ofPetunia hybrida. This-glucan synthetase activity differs from that of most other higher plants in its inability to incorporate [¹⁴C]glucose from GDP-[¹⁴C]glucose. UDP-[¹⁴C]glucose, however, is an appropriate glucose donor for this enzyme. The optimum conditions for this-glucan synthetase activity are: 1 mg Golgi vesicle protein/ml reaction mixture; pH=±8 and a temperature of 25°C. The newly synthesized alkali-insoluble glucan contains-1,3- as well as -1,4-glucosidic linkages.     

Stimulation of insulin release from pancreatic islets by quinones

Coenzyme Q (CoQ₀) and other quinones were shown to be potent insulin secretagogues in the isolated pancreatic islet. The order of potency was CoQ₀benzoquinonehydroquinonemenadione. CoQ₆ and CoQ₁₀ (ubiquinone), duroquinone and durohydroquinone did not stimulate insulin release. CoQ₀'s insulinotropism was enhanced in calcium-free medium and CoQ₀ appeared to stimulate only the second phase of insulin release. CoQ₀ inhibited inositol mono-, bis- and trisphosphate formation. Inhibitors of mitochondrial respiration (rotenone, antimycin A, FCCP and cyanide) and the calcium channel blocker verapamil, did not inhibit CoQ₀-induced insulin release. Dicumarol, an inhibitor of quinone reductase, did not inhibit CoQ₀-induced insulin release, but it did inhibit glucose-induced insulin release suggesting that the enzyme and quinones play a role in glucose-induced insulin release. Quinones may stimulate insulin release by mimicking physiologically-occuring quinones, such as CoQ₁₀, by acting on the plasma membrane or in the cytosol. Exogenous quinones may bypass the quinone reductase reaction, as well as many reactions important for exocytosis.     

Tolerance regions with segmented fermentation processes

Many microbial fermentation processes exhibit different phases (e.g. adaption phase, main growth phase, main production phase). The process variables e.g. the biomass vary randomly about their mean. The experimentalist is interested to know the break points of the different phases, and a tolerance region, i.e. a range of possible values of the process variable that can be considered as normal. This paper deals with statistical methods for determining break points and tolerance regions.List of Symbols a _i intercept in phasei - b _i specific growth rate in phasei - e _t deviation of a measurement in timet - tEX expectation of variableX - r number of phases of fermentation - T _i break point of phaseit - t _ij time of measurementj in phasei - t _n–2.1–/2 quantile oft distribution - Y(t) logarithm of measurement at timet Greek Letters 1 – cover probability of tolerance region - 1 – part covered by the tolerance region - ² variance ofe _t - (·) standard normal distribution - quantile of chisquare distribution     

The depolarizing mechanoreceptor potential and Ca/Mg receptor-current of the marine ciliate Euplotes vannus

The anterior depolarizing mechanoreceptor potential and the correlated receptor currents have been studied in the marine ciliate Euplotes vannus. Mechanical stimuli that mimicked cell-cell collisions depolarized the resting potential of about — 25 mV to maximally — 5 mV, with a speed of 1.2 mV/ms, a delay to the stimulus of about 15 ms, and a repolarization within 30 to 300 ms. The power-stroke direction of the cirri-beat reversed from backward to forward during this response. The receptor current rose to an average amplitude of 1.4 nA with a speed of 0.1–0.3 nA/ms and decayed with a single exponential time course with a time constant between 7 and 9 ms. Similar current-reversal potentials, after substitution of extracellular Ca²⁺ by Mg²⁺ and vice versa, indicate that the mechanically activated conductance is identical for Ca²⁺ or Mg²⁺. The current can be carried by Ba²⁺ as well, but not by K⁺ or Na⁺. Decirriation experiments have shown that the mechanosensitivity is located within the soma membrane.Abbreviations EASW artificial sea-water adapted for electrophysiology - EGTA ethylene glycol-O O-bis(2-aminoethyl)-N,N,N,N-tetraacetic acid - NMDG N-methyl-D-glucamine - TEA tetraethyl ammonium - V _m membrane potential - g _X conductance for the ion X - D600 Methoxyverapamil     

Partial purification and characterization of a folatebinding protein from human choroid plexus

A folate-binding protein (binder) from human choroid plexus was solubilized with Triton X-100 and partially purified in three steps: (1) affinity chromatography, (2) Sephadex G-200 column chromatography, and (3) polyacrylamide gel electrophoresis. When the partially purified binder was subjected to sodium dodecyl sulfate-polyacrylamide gel electrophoresis, the binding activity was located in the region of the gel with a molecular weight between 45,000 and 60,000. The specific activity of the binder after the three purification steps was 1.2 g folic acid/mg protein, a 316-fold purification. Binding activity of the partially purified binder decreased below pH 6.0 and above pH 8.0 was unaffected by treatment with ribonuclease or deoxyribonuclease, but was abolished with trypsin, chymotrypsin, or protease (Streptomyces griesus). The binding of folic acid to the human binder was inhibited by folate > H₄-folate > methyl-H₄-folate dihydrofolate pteroic acid methotrexate aminopterin.     

Spermiogenesis,sperm structure and fertilization in the palaeonemertean Cephalothrix rufifrons (Nemertini,Anopla)

Summary The spermatozoan from testes of Cephalothrix rufifrons consists of an elongated, straight head 13–14 m long with a flattened anterior acrosome and a 12.5-m-long nucleus. Placed along one side of the nucleus, is a single tubular 7-m-long mitochondrion. There is no midpiece, but immediately posterior to the nucleus are two centrioles. The tail is at least one and a half times the length of the head. Mature sperm cells were also found in the oviducts of mature females which, combined with the modified structure of the sperm cell, indicates that sperm is transferred during pseudocopulation.Abbreviations A acrosome - C centriole - D gonoduct - DC distal centriole - E epidermis - F flagellum - I intestine - LM longitudinal muscle layer - L lateral nerve - M nitochondrion - MT microtubules - N nucleus - O oocyte - PC proximal centriole - R rhynchocoel - S spermatozoa - SC spermatocyte - SP spermatid     

Effect of biocatalyst activity changes in continuous reactions in the gas phase

Summary In the gas phase bioreactions, continuous production rate depends on the biocatalyst activity and complete dehydration causes the biocatalyst to lose most of its activity. To overcome these difficulties, a theoretical method is suggested along with the new design of biocatalyst. This will be applicable and helpful for the optimization of the gas phase continuous bioreaction.Nomenclature C_A ethanol concentration [mol/mL] - C_P acetaldehyde concentration [mol/mL] - X_P acetaldehyde composition     

Effect of growth temperature on the morphology and performance ofZymomonas mobilis ATCC 29 191 in batch and continuous culture

Summary Increasing the temperature in chemostat culture ofZymomonas mobilis ATCC 29 191 with low and high glucose concentrations was found to result in a decreasing frequency of septation leading to the formation of long filaments and in increasing outer membrane blebbing. Whether this effect is strain specific or universal inZymomonas is, unknown. Improvements in the fermentation kinetics could be achieved at elevated temperatures, with an optimum at 33°C. Temperatures >30°C induced uncoupled growth in chemostat cultures ofZ. mobilis ATCC 29 191. The results of this study emphasize the importance of temperature regulation in optimizing the performance of continuous fermentations withZymomonas.Nomenclature D Dilution rate, 1/h - _max Maximum specific growth rate, 1/h - S _R Initial substrate concentration, g glucose/1 - S Amount of glucose consumed, g glucose/1 - S ₀ Effluent substrate concentration, g glucose/1 - X Biomass concentration - g cells/1 - [P] Amount of product formed, g ethanol/1 - [P] Product concentrations, g ethanol/l - Y _x/s Growth yield, g cells/g glucose used - Y _p/s Product yield, g ethanol/g glucose used - O _s Specific rate of glucose uptake, g glucose/g cells/h - Q _p Specific rate of ethanol formation, g ethanol/g cells/h - VP Volumetric productivity, g ethanol/1/h - t Fermentation time, h Corresponding author     

Determination of specific monoclonal antibody secretion rate during very slow hybridoma growth

A total cell recycling suspension perfusion reactor has been constructed for investigation of specific monoclonal antibody secretion rate of the 9.2.27 murine hybridoma under conditions of a very low growth rate. By rapidly recycling hybridoma cells using a thermostated tangential flow filter, 3.6 mg cell dry weight/cm³ could be maintained at growth rate of <0.05 _max for over 250 h. Under these conditions, secretion of lactate, ammonia and l-alanine were directly related to the rate of l-glutamine supply. Monoclonal antibody accumulated in the reactor to levels in excess of 1400 g/ cm³. Surprisingly, as specific growth rate decreased, the specific immunoglobulin secretion rate remained constant, implying that monoclonal antibody synthesis could be uncoupled from growth.List of Symbols CMF cm³/(min · cm²) cross membrane flow rate - D h^–1 dilution rate - DOT % air saturation dissolved oxygen tension - F _R cm³/min perfusion rate - GlcPR mg/min glucose provision rate - GlnPR mg/min l-glutamine provision rate - N _A mmoles O₂/(dm³ · h) oxygen transfer rate - q _ala mmoles/h l-alanine secretion rate - q _MAB mg MAB · 10^–8 viable cells ^–1 · day^–1 specific MAB secretion rate by viable cells - ¯q _MAB (dimensionless) ¯q _MAB/¯q _{MAB MAX} - ¯q _{NH 3} mmoles/h ammonia secretion rate - S _R mg/cm³ limiting substrate concentration - h^–1 specific growth rate - _app h^–1 apparent growth rate - ¯ (dimensionless) / _MAX - VC cells/cm³ viable cell number     

Simulation of a multicolumn recirculated packed bed reactor (MRPBR) for penicillin acylase

Enzyme reactors for the industrial hydrolysis of penicillin are analyzed in terms of biocatalyst stability to pH. A multicolumn system with packed beds placed in parallel and operating under recirculating conditions is proposed as an adequate reactor for this process. The system is studied both experimentally and with the aid of a simulation program.List of Symbols A transversal area (cm²) - C _A ammonia concentration in the reaction mixture (M) - C ₁ concentration of KH₂PO₄ in buffer (M) - C ₂ concentration of K₂HPO₄ in buffer (M) - d _p biocatalyst diameter (cm) - E enzyme or biocatalyst concentration (gcat l^–1) - K _APA APA non competitive inhibition constant (M) - K _IS excess substrate inhibition constant (M) - Km constant Michaelis-Menten (M) - K _PAA PAA competitive inhibition constant (M) - Q recirculation flow rate (cm³ min^–1) - Q _T recirculation flow rate per column (cm³ min^–1) - Re Reynolds number - S _E substrate concentration entering the neutralization tank (M) - S ₀ initial substrate concentration (M) - S _T substrate concentration in neutralization tank (M) - t time (min) - v _i initial reactor rate (mol min^–1 gcat^–1) - V _s superficial velocity (cm seg^–1) - V _T volume of neutralization tank (cm³) - X _E substrate conversion entering tank - X _T substrate conversion in neutralization tank - X conversion - Z reactor length (cm) - z axial position in reactor (cm) - z ^* non-dimensional axial position in reactor - biocatalyst's density (gcat cm^–3) - p pressure drop in the packed-bed reactor