Yeast mutants resistant to ethidium bromide

Summary Yeast mutants resistant to ethidium bromide have been isolated among sensitive grande cells (⁺) for their ability to grow on glycerol in the presence of the dye. Mutant cells are also resistant to acriflavin and do not yield petites (^-) when grown on galactose with the mutagen. Genetic analysis reveals that resistance to ethidium bromide is controlled by a cytoplasmic factor, carried by, or linked to, the determinant (mitochondrial DNA). The expression of resistance to ethidium bromide seems to be related to the presence in the cell of a product of mitochondrial protein synthesis. It is concluded that some mitochondrial DNA sequence is involved in the resistance to ethidium bromide of yeast mitochondria.     

Increase of plasma membrane oxidoreductase activity is not correlated with the production of extracellular Superoxide radicals in human Namalwa cells

Summary We have considered the regulatory interrelationship of the plasma membrane oxidoreductase (PMOR) system and the mitochondrial respiratory capacity of human Namalwa (lymphoblastoid) cells. To this end, we made use of mitchondrially respiratory competent (⁺) cells and ⁰ cells, which lack mitochondrial DNA (mtDNA) and consequently mitochondrial respiratory activity. NADH-fer-ricyanide reductase activity of the PMOR system is increased 3-fold in ⁰ Namalwa cells compared to ⁺ cells. It is also shown for the first time that addition of coenzyme Q₁₀ and coenzyme Q₁₀-ana-logues, which can rescue ⁰ Namalwa cells in the absence of pyravate, gives rise to a further 2–3-fold increase in plasma membrane NADH-ferricyanide reductase activity. These systems were examined to determine if there exists a correlation between the regulation of the PMOR system and extracellular Superoxide radical formation as measured with the fluorescence probe L-012. No correlation was found between NADH-ferricyanide reductase activity and extracellular Superoxide radical production. PMOR function in cellular proliferation appears therefore not to involve extracellular Superoxide radical production.Abbreviations CoQ₁₀ coenzyme Q₁₀ - EtBr ethidium bromide - HCO-60 polyoxyethylated hydrogenated castor oil - HEPES 4-(2-hydroxyethyl)-1-piperazineethanesulfonic acid - mtDNA mitochondrial DNA - L-012 8-amino-5-chloro-7-phenylpyrido(3,4-d)pyridazine-1,4(2H,3H)dione - SOD Superoxide dismutase     

Hydrodynamic characteristics of two-phase inverse fluidized bed

Hydrodynamic characteristics of a new mode of liquid-solid fluidization, termed as inverse fluidization in which low density floating particles are fluidized with downward flow of liquid, are experimentally investigated. The experiments are carried out with low density particles (<534 kg/m³) which allow high liquid throughputs in the system. During the operation, three regimes, namely, packed, semi-fluidization and fully fluidization are encountered. Empirical correlations are proposed to predict the pressure drop in each regime. A computational procedure is developed to simulate the variation of pressure drop with liquid velocity.List of Symbols Ar modified Archimedes number, d _p ³ (– _s)g/² - d _p particle diameter, mm - f friction factor (eq. 2) - g acceleration due to gravity, m/s² - H total bed height, m - H _c height of the column, m - H_f height of fluidized bed, m - H₀ height of initial bed, m - H_p height of the packed bed, m - (p) pressure drop across the bed, N/m² - (p) _f pressure drop across fluidized bed section, N/m² - (p) _p pressure drop across the packed bed section, N/m² - (p) _sf total pressure drop in semifluidization regime, N/m² - Re Reynolds number, d _pU ₁/ - Re_m modified Reynolds number, d _pU ₁/(1– _p) - U ₁ superficial liquid velocity, m/s - U_mf minimum fluidization velocity, m/s - U_osf onset fluidization velocity, m/s Greek Letters _f voidage of fluidized bed - _p voidage of packed bed - liquid viscosity, kg/ms - liquid density, kg/m³ - _s particle density, kg/m³     

Attraction of Aedes aegypti II. Velocity of reaction to host with and without additional carbon dioxide

The velocity with which Aedes aegypti (L.) reacted to odors from a human arm was the same with and without additional carbon dioxide, and was found to increase asymptotically. The derivative dy/dx=–bX_ln described the velocity of response and was not different from the derivatives of the actual data. CO₂ may exert its main effect within the central nervous system.

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Zusammenfassung Die Geschwindigkeit, mit der Aedes aegypti auf den Geruch eines menschlichen Armes reagierte, war mit und ohne Kohlendioxyd-Zusatz die gleiche und nahm asymptotisch zu. Die Ableitung dy/dx=–bX_ln beschreibt die Geschwindigket der Reaktion und weicht von der Ableitung der aktuellen Versuchsdaten nicht ab. CO₂ mag seine Hauptwirkung innerhalb des Zentralnervensystems entfalten.

     

Proteins main-chain atomic displacements and density of stabilizing interactions

The assumption that interactions like hydrogen bonds, that establish the secondary structure of proteins, modulate the local flexibility of the polypeptide chain suggests a phenomenological relation between ²-the X-ray determined variance of the thermally-distributed location of a main-chain atom and the value of — a properly-defined linear density of stabilizing interactions at that location. The functional relation ² 1/ is verified from the data of lysozyme. is constructed from first principles after assuming that the thermal motions of an unstabilized polypeptide chain resemble those of a random chain. Taking the locations and the identity of the stabilizing interactions from literature, the predicted 1/g9 for lysozyme and metmyoglobin is compared with the observed ² along the proteins main-chain. The satisfactory results are discussed in the light of the possible role that hydrogen bonding plays in determining the equilibrium and the dynamic properties of the main-chain structural fluctuations in proteins, and its modelling by using a simplified mechanistic approach.     

Induction of respiration deficient mutants in Saccharomyces cerevisiae by Berenil

Summary Some characteristic details of mutagenesis by Berenil, a non-intercalating trypanocidal dye, that govern the change from wild type (⁺) to vegetative petite (^–) in Saccharomyces cerevisiae are presented and contrasted with the intercalating mutagens ethidium bromide and euflavine.The extent and rate of mutagenesis by Berenil is affected by a variety of parameters controlling the cellular and mitochondrial phenotype: among them are exposure to 45°; competition with EB but not euflavine; a requirement for an energy source during and subsequent to exposure to the mutagen; exposure to caffeine; and the presence of genetic blocks in various steps of the mitochondrial repair system for uv-induced lesions. It is, however, insensitive to exposure to Antimycin A. Except for the first of these observations, qualitative differences have emerged between the responses induced by Berenil and the other mutagens, especially ethidium bromide.Using these observations we have postulated a stepwise sequence of events that can account for the mutagenic action of Berenil.Publication No. 2122.     

Role of mitochondria in ethanol tolerance of Saccharomyces cerevisiae

The presence of active mitochondria and oxidative metabolism is shown to be essential to maintain low inhibition levels by ethanol of the growth rate (), fermentation rate (v) or respiration rate () of Saccharomyces cerevisiae wild type strain S288C. Cells which have respiratory metabolism show K _i (ethanol inhibition constant) values for , v and , higher (K _i>1 M) than those of petite mutants or grande strains grown in anaerobiosis (K _i=0.7 M). In addition, the relationship between or v and ethanol concentration is linear in cells with respiratory metabolism and exponential in cells lacking respiration. When functional mitochondria are transferred to petite mutants, the resulting strain shows K _i values similar to those of the grande strain and the inhibition of and v by increasing ethanol concentrations becomes linear.     

Vibrations in the orb web of the spider Nephila clavipes: cues for discrimination and orientation

Transmission of natural and artificial vibrations in webs of Nephila clavipes was examined using laser Doppler vibrometry to determine how this spider discriminates and localizes stimuli. 1. Vibration signals of four entrapped insect species peaked at different frequencies from 5–30 Hz, but their spectra overlapped considerably. Peak amplitudes spanned 50 dB. 2. Transmission of longitudinal vibrations along individual radii was attenuated over ca. 12 cm by 4.0 ± 2.7 dB; attenuation values for transverse and lateral vibrations were 22.2 ± 4.6 dB and 26.2 ± 4.3 dB, respectively. Some transmission spectra characteristics may be explained by resonances of the spider and threads. 3. Radial thread transmission increased by 2.2–5.8 dB after cutting the connecting auxiliary spirals, demonstrating that vibrations leak from stimulated radii via these threads. Auxiliary spirals provide structural support to Nephila webs at the expense of degraded directional transmission. 4. Upon single-point stimulation, vibrations measured around the web hub and at the spider's tarsi revealed 2-D vibration amplitude gradients of 20–30 dB indicating the stimulus direction. In contrast, measured vibration propagation velocities of 70–1500 m/s resulted in time-of-arrival differences at the spiders tarsi of < 1.5 ms, which may be too brief for stimulus direction determination.Abbreviations A area - C propagation velocity - E Young's modulus - LDV laser Doppler vibrometer/-metry - r.h. relative humidity - T tension - space constant - radius of gyration - density - 2-D two-dimensional - 3-D three-dimensional     

Sequence homology and recombination between the genomes of morphologically dissimilar bacteriophages LP 52 and theta

Summary A restriction fragment map of Bacillus licheniformis temperate phage LP 52 DNA (molecular weight 38.5×10⁶) was established, using restriction endonucleases BamHI (8 target sites), BglI (10 sites), BglII (13 sites) and EcoRI (22 sites). The map is linear, with well-defined ends, without any signs of circular permutation. The DNA of a related phage, LP 51, produced identical restriction fragments. At least 62% DNA of LP 52 has been found homologous to the DNA of the recently discovered, morphologically quite dissimilar, phage , as demonstrated by hybridization of electrophoretically separated restriction fragments of DNA. Under the same conditions, the DNAs of LP 52 and of the morphologically similar Bacillus subtilis phage 105 did not cross-hybridize. The homologous regions in the genomes of phages LP 52 and have been shown to be colinear. Comparison of the cleavage maps of phages LP 52 and has shown that, within the regions of homology, not a single restriction fragment and few restriction sites have been conserved during divergent evolution. Three major regions of heterology were defined; the longest one, covering the right-hand end of the map (73±2.75% up to 100% LP 52 genome length) appeared to contain genes coding for structural proteins of the virions; a shorter region at the left-hand end of the map (coordinates zero to 10.3±3.3% LP 52 genome length) and a very short central region (coordinates 41.8–43.9%) could be identified, the latter apparently containing a regulatory locus responsible for the heteroimmune behavior of the two phages. Recombinants between phages LP 52 and were isolated. Mapping of recombinant genomes has indicated mutual substitution of allelic pieces of LP 52 and DNAs upon strict conservation of overall genome length.     

Bacteriorhodopsin in a bloom of halobacteria in the Dead Sea

A dense bloom of red halobacteria developed in the Dead Sea in the summer 1980, bacterial densities of up to 1.9 x10⁷ cells ml^-1 were observed. The population consisted of two types: pleomorphic, cup-shaped cells and rod-shaped cells. A high content of bacteriorhodopsin was found in the bloom (up to 0.4 nmol per mg protein). The rod-shaped Halobacterium was isolated and was shown to contain bacteriorhodopsin.Abbreviations 20 specific gravity at 20°C - Tris Tris-(hydroxymethyl)-aminomethane     

Enhancement of protein precipitate strength and density by low-frequency conditioning

The use of a continuous, low-frequency conditioning process to alter the structure of protein precipitate aggregates is examined. An increase in the density of aggregates is correlated with the levels of fluid acceleration and hence hydrodynamic stress to which the aggregates are exposed during conditioning. A combination of low-frequency conditioning followed by shear break-up (as in the feed zone to a high-speed disk-stack centrifuge) is shown to result in a precipitate suspension of increased particle size at the fine end of the distribution, and having a greater sedimentation velocity. The resistance of large aggregates to shear disruption is increased by low-frequency conditioning.List of Symbols CR conditioning ratio - CRS conditioning ratio after shearing - d m amplitude of displacement - D m particle size - D _c m critical size for centrifuge recovery - f s^–1 frequency of vibration - G s^–1 mean velocity gradient - Q m³/s volumetric throughput - SR shear ratio - t s ageing time Greek Symbols s^–1 mass-average shear rate - K sedimentation shape factor - _a kg/m³ aggregate density - _f kg/m³ fluid density - _s kg/m³ solids density - kg/m³ aggregate-suspension density difference - Ns/m² kinematic viscosity - amplitude of pulse ratio (ref. 23, 9) - s mean residence time - _s solids volume fraction     

Studies on transfer processes in mixing vessels: suspending of solid particles in liquid by modified Rushton turbine agitators

The modified blade turbines are attractive alternatives to the standard Rushton turbine as they do not require any modification in the electrical engine motor and drive assemblies are simple to manufacture and have a reduced power consumption.The modified blades were obtained through increase in the blade height of the Rushton turbine simultaneously with perforation of the blade surface. The field surface of the modified blade is equal to the blade surface of the standard Rushton turbine.In this study the modified blade turbine with the surface fraction of the perforations equal to 0.353 is used.The complete suspension speed and the power dissipation in transition and turbulent regimes using standard and modified Rushton turbine agitators positioned singly or doubly on same shaft, in five solid-liquid systems were investigated.The solid particles used have the mean diameter between 15–1000 m.The modified blade turbine, noted as TP3, was found to be more efficient than the standard turbine in complete and homogeneous suspension.List of Symbols A distance between turbine and the vessel bottom (m) - c dimensionless constant (-) - d agitator diameter (m) - d _p surface-to-volume mean diameter of the particle (m) - D vessel diameter (m) - (H _L )₁ suspension height for one turbine immersed (m) - (H _L )₂ suspension height for two turbines immersed (m) - K consistency index (Pa s ⁿ ) - l _k eddy-size characteristic (m) - N flow behaviour index (-) - N _p number of blades of the mixing system (-) - N agitator speed (s^–1) - N _js agitator speed that just causes complete suspension (s^–1) - Ne P_L/_LN³d⁵ power number in liquid system (-) - (Ne) _g P_g/_spN³d⁵ power number in solid-liquid system (-) - P _L power consumption in liquid system (W) - P _s power consumption in solid-liquid system (W) - r coefficient of correlation (-) - R distance between turbines (m) - Re _spNd²/ _a Reynolds number (-) - S suspension parameter in Zwietering equation (2) (-) - S _C full surface of the blade (m²) - S _G surface of the perforations applied on the blade (m²) - S _G /S _C surface fraction of the perforations (-) - X particle concentration (g/l) - w baffle width (m) - _js specific power input per mass at the complete suspension state (W/kg) - _a apparent viscosity under mixing conditions (Pa s) - _L kinematic viscosity of the liquid (m²/s) - _L density of liquid (Kg/m³) - _s density of solid (Kg/m³) - _sp density of suspension (Kg/m³)     

Ongoing ultradian activity rhythms in the common vole,Microtus arvalis,during deprivations of food,water and rest

Summary The timing mechanism underlying ultradian (2–3 h) activity patterns in the common vole, Microtus arvalis, was studied using behavioural deprivation experiments. These were aimed at distinguishing between a homeostatic control mechanism, in which the rhythmic behaviour itself is part of the causal loop, and a clock mechanism, independent of the behaviour.In 175 experiments, deprivation of food during 3 ultradian cycles in (subjective) daytime did not result in significant changes in the ultradian periodicity of attempts to obtain the food, compared with ad lib. access to food and water. A minor, but significant increase in ultradian activity time () occurred in the course of the deprivation, but this was compensated by a shorter ultradian rest (). These results were obtained both in intact animals (n = 24), which showed ultradian and circadian rhythmicity in behaviour, and in animals (n = 21) with electrolytic lesions aimed at the suprachiasmatic nuclei (SCN), which lacked the circadian modulation of behaviour. Simultaneous deprivation of water and food in 8 voles without circadian rhythmicity during 40 experiments also did not lead to any change in the ultradian periodicity of feeding attempts.Rest deprivation was studied in 5 SCN lesioned voles, by forcing running wheel activity to continue following spontaneous running. Thus, the experimental activity bout was artificially lengthened to 2–9 h in 67 experiments. The onset of the subsequent rest episodes occurred independent of the duration of the preceding . The duration of was dependent on the preceding, experimental in a periodic fashion. The interval experimental (=lengthened +following ) was equal to one, two or three times the control (obtained on nonexperimental days). This result fits the prediction of a clock model and is in conflict with a monotonicincrease of with , as expected in a homeostatic, restorative process.It is concluded that the ultradian timing of activity in the common vole can be explained neither by homeostatic hunger or thirst mechanisms nor by homeostatic rest/activity regulation. The results strongly suggest an independent clock system generating ultradian feeding rhythms in the common vole.Abbreviations DD continuous darkness - LD light-dark regime - LL continuous light - RCA retrochiasmatic area - ARC arcuate nucleus - SCN suprachiasmatic nuclei - ultradian period - ultradian activity time - ultradian rest time     

Effect of amino acids on glutathione production by Saccharomyces cerevisiae

Summary The constituent amino acids of the glutathione (GSH) tripeptide chain, glutamate, cysteine and glycine, were investigated for positive effects on GSH production in shake-flask cultures of Saccharomyces cerevisiae with glucose as the carbon source. Cysteine was confirmed as the key amino acid for increasing the specific GSH production rate, g, but showed some growth inhibition, especially in the second growth phase (ethanol-assimilation phase). An intracellular cysteine delivery agent, thiazolidine, showed a similar pattern of increased GSH production and growth inhibition, but to a slightly lesser degree, compared with free cysteine. The initial cysteine concentration affected both the specific growth rate, µ, and g, up to about 5 mm for µ and about 2–3 mm for g. Results of the [³⁵S]cysteine-labelling experiments suggest a complicated role of cysteine in increasing GSH production and further investigation may be necessary. Offprint requests to: S. Shioya     

Biogenesis of mitochondrialc-type cytochromes

Cytochromesc andc ₁ are essential components of the mitochondrial respiratory chain. In both cytochromes the heme group is covalently linked to the polypeptide chain via thioether bridges. The location of the two cytochromes is in the intermembrane space; cytochromec is loosely attached to the surface of the inner mitochondrial membrane, whereas cytochromec ₁ is firmly anchored to the inner membrane. Both cytochromec andc ₁ are encoded by nuclear genes, translated on cytoplasmic ribosomes, and are transported into the mitochondria where they become covalently modified and assembled. Despite the many similarities, the import pathways of cytochromec andc ₁ are drastically different. Cytochromec ₁ is made as a precursor with a complex bipartite presequence. In a first step the precursor is directed across outer and inner membranes to the matrix compartment of the mitochondria where cleavage of the first part of the presequence takes place. In a following step the intermediate-size form is redirected across the inner membrane; heme addition then occurs on the surface of the inner membrane followed by the second processing reaction. The import pathway of cytochromec is exceptional in practically all aspects, in comparison with the general import pathway into mitochondria. Cytochromec is synthesized as apocytochromec without any additional sequence. It is translocated selectively across the outer membrane. Addition of the heme group, catalyzed by cytochromec heme lyase, is a requirement for transport. In summary, cytochromec ₁ import appears to follow a conservative pathway reflecting features of cytochromec ₁ sorting in prokaryotic cells. In contrast, cytochromec has invented a rather unique pathway which is essentially non-conservative.     

Relationship between heterosis and heterozygosity at marker loci: a theoretical computation

Summary In this paper we have studied the linear correlation between a genetic distance index between two parent lines (based on marker loci information) and the heterosis observed in the F₁ hybrid from the two lines, for a quantitative character (determined by several loci, or QTL). Theoretical computations of the correlation coefficient () between the distance index and the heterosis were made, assuming the biallelic model (defined by Fisher). When the alleles at both marker loci and QTL are equally distributed among the whole population of considered lines, the coefficient is a function of the squares of linkage disequilibria between alleles at marker loci and alleles at QTL. The QTL that are not marked by marker loci and marker loci that do not mark any QTL play symmetrical roles and can decrease greatly. We conclude that the prediction of F₁ hybrid heterosis based on marker loci would be more efficient if these markers were selected for their relationship to the alleles implicated in the heterotic traits considered.     

Effect of PPX1 inactivation on the exopolyphosphatase spectra in cytosol and mitochondria of the yeast Saccharomyces cerevisiae

Inactivation of PPX1 encoding exopolyphosphatase PPX1 in Saccharomyces cerevisiae results in a change in the exopolyphosphatase spectrum in the yeast cells. In the PPX1-deficient strain, elimination of an 45 kD exopolyphosphatase is observed in the cytosol, and activity of an exopolyphosphatase with molecular mass of 830 kD increases fivefold. The latter activity differs greatly in properties from the low-molecular-mass enzyme of the parent strain. In the soluble fraction of the mutant mitochondria, exopolyphosphatase of 45 kD characteristic of the soluble mitochondrial fraction in the parent strain is eliminated, and exopolyphosphatase with a molecular mass of 440 to 830 kD is found. On PPX1 inactivation, a membrane-bound form of mitochondrial exopolyphosphatase is unaffected in its activity level and properties. Therefore, the membrane-bound exopolyphosphatase of mitochondria and the high-molecular-mass enzyme of the cytosol of S. cerevisiae are not encoded by the PPX1 gene, unlike the soluble low-molecular-mass exopolyphosphatase of mitochondria, which is probably a product of this gene with a posttranslational modification. In the PPX1 mutant, exopolyphosphatase properties in the cell as a whole undergo modifications including the ability to hydrolyze polyphosphates (polyP) with different polymer degree.     

Identification and characterization of yeast mutants and the gene for a cruciform cutting endonuclease.

An assay was developed that detected DNA cruciform cutting endonuclease activity in crude extracts of Saccharomyces cerevisiae. A collection of temperature-sensitive strains was screened using this assay, and a mutant lacking the activity was found. The mutation leading to the enzymatic defect was mapped to the left arm of chromosome XI within 3 cM of the centromere. Cloning of the gene for this endonuclease was achieved by chromosome walking from the nearby PUT3 locus. The gene, called CCE1 (cruciform cutting endonuclease), was sequenced and found to have an open reading frame encoding a 41 kDa protein. The amino acid sequence of this eukaryotic endonuclease shows homology neither to its prokaryotic counterparts nor to other proteins in available databases. A cce1 null mutant has no obvious growth defect, and despite the ability of the CCE1 enzyme to cleave Holliday junction analogs, the mutant shows no defect in meiotic or mitotic recombination. A second cruciform cutting activity was detected in extracts from a cce1 null mutant, indicating that yeast has at least two such enzymes. The only phenotype observed for cce1 mutants is a higher than normal frequency of appearance of petite cells, suggesting that the CCE1 protein is important for the maintenance of mitochondrial DNA.     

Taurine protected myocardial mitochondria injury induced by hyperhomocysteinemia in rats

Summary. Taurine can protect against cardiovascular diseases, whereas elevated levels of plasma homocysteine are associated with atherosclerotic and thromboembolic cardiovascular diseases. To illustrate the effects of taurine on hyperhomocysteinemia, we observed the myocardial mitochondria dysfunction in the rats with hyperhomocysteinemia induced by diet methionine loading, and the therapeutic effect of taurine. A methionine diet increased plasma homocysteine concentration (133.51±27.91mol/L vs 12.31±2.58mol/L in control, P<0.01), stimulated the production of reactive oxygen species (ROS) in the myocardial mitochondria, and inhibited the activities of mitochondrial Mn-superoxide dismutase and catalase. The ⁴⁵Ca uptake and Ca²⁺-ATPase activity in the myocardial mitochondria were significantly lowered in rats with hyperhomocysteinemia. Taurine supplements effectively attenuated the hyperhomocysteinemia-induced ROS production and inhibition of Mn-superoxide dismutase and catalase activities in the myocardial mitochondria, and increased its ⁴⁵Ca uptake and Ca²⁺-ATPase activity. Thus, taurine antagonizes the oxidative stress injury in the myocardial mitochondria induced by the hyperhomocysteinemia.     

Product inhibition during the feeding phasein fed-batch ethanol fermentation of sugar-cane blackstrap molasses

Summary The following equations represent the influence of the ethanol concentration (E) on the specific growth rate of the yeast cells () and on the specific production rate of ethanol () during the reactor filling phase in fed-batch fermentation of sugar-cane blackstrap molasses: = ₀ - k · E and v = v ₀ · K/(K +E) Nomenclature E ethanol concentration in the aqueous phase of the fermenting medium (g.L^–1) - E_m value of E when = 0 or = 0 (g.L^–1) - F medium feeding rate (L.h^–1) - k empirical constant (L.g^–1.h^–1) - K empirical constant (g.L^–1) - M_as mass of TRS added to the, reactor (g) - M_cs mass of consumed TRS (g) - M_e mass of ethanol in the aqueous phase of the fermenting medium (g) - M_s mass of TRS in the aqueous phase of the fermenting medium (g) - M_x mass of yeast cells (dry matter) in the fermenting medium (g) - r correlation coefficient - S TRS concentration in the aqueous phase of the fermenting medium (g.L^–1) - S_m TRS concentration of the feeding medium (g.L^–1) - t time (h) - T temperature (° C) - TRS total reducing sugars calculated as glucose - V volume of the fermenting medium (L) - V₀ volume of the inoculum (L) - X yeast cells concentration (dry matter) in the fermenting medium (g.L^–1) - filling-up time (h) - specific growth rate of the yeast cells (h^–1) - ₀ value of when E=0 - specific production rate of ethanol (h^–1) - ₀ value of when E=0 - density of the yeast cells (g.L^–1) - dry matter content of the yeast cells