Journal of Chromatographic Science 2013;51:764– 779 doi:10.1093/chromsci/bms257 Advance Access publication January 27, 2013 Review Article New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques Georgia Ch. Lainioti and George Karaiskakis* Department of Chemistry, University of Patras, GR-26504 Patras, Greece *Author to whom correspondence should be addressed. Email: [email protected] Received 1 October 2012; revised 19 December 2012 The kinetics of the fermentation process has gained increasing interest, not only in the scientific community, but in the industrial world as well. Information concerning the improvement of batch fermentation performance may potentially be valuable for the designing of scale-up processes. Intensive studies have been conducted with the use of various chromatographic techniques, such as conventional gas chromatography, reversed-flow gas chromatography (RFGC), high-performance liquid chromatography, field-flow fractionation and others. In the present study, specific focus is placed on the employment of RFGC, a method that can successfully be applied for the determination of physicochemical quantities, such as reaction rate constants and activation energies, at each phase of the alcoholic fermentation. In contrast to conventional chromatographic techniques, RFGC can lead to substantial information referring to the evaluation of fermentation kinetics at any time of the process. Moreover, gravitational field-flow fractionation, a sub-technique of field-flow fractionation, presents the ability to monitor the proliferation of Saccharomyces cerevisiae cells through their elution profiles that can be related to the different cell growth stages. The combination of the two techniques can provide important information for kinetic study and the distinction of the growth phases of yeast cell proliferation during alcoholic fermentations conducted under different environmental conditions. Introduction Alcoholic fermentation “Wine fermentation must be a decomposition that occurs when the sugar-fungus uses sugar and nitrogenous substances for growth, during which, those elements not so used are preferentially converted to alcohol,” explained Schwann in his paper entitled “A Preliminary Communication Concerning Experiments on Fermentation of Wine and Putrefaction” (1). Alcoholic fermentation is one of the oldest procedures in the history of humanity. Yeast converts grape sugar into roughly equal parts of ethanol and carbon dioxide, producing heat. Alcoholic fermentation is a combination of complex interactions involving the variety of must, microbiota and winemaking technology. The concept of inoculating grape juice with selected starter cultures of Saccharomyces cerevisiae to encourage rapid, consistent fermentation has become widely accepted within the wine industry (2, 3). With the progress of biotechnology, many changes have been made to traditional wine-making procedures. Immobilized cells have been extensively used in food and fermentation industries due to their advanced properties toward free cell systems. The employment of biocatalysts has been important in many industries for centuries because they are attractive catalysts for a wide range of chemical transformations. This can be attributed to their advanced properties in comparison with free cell systems, such as improved productivity and products of higher quality. The support material on which the Saccharomyces cerevisiae strain will be immobilized is of utmost importance for an effective immobilization. Inorganic (g-aluminum, kissiris or ceramic materials) (4 –7) or organic (cellulosic materials, polyacrylamide, carrageenan or alginates) materials (3, 8, 9), in addition to fruit pieces (apple and quince) (10, 11) have successfully been used as immobilization supports. With respect to the properties of yeast, yeast cells typically operate under mild conditions of pH and temperature, leading to the formation of highly pure products. As discussed in the literature, the fermentation temperature can affect the microbial ecology of the grape must and the biochemical reactions of yeast cells (12). In addition to affecting growth and survival, temperature has many substantial effects on the metabolism of yeast. One of the most marked is its influence on the fermentation rate (13). Cool temperatures dramatically slow the fermentation rate and may cause its premature termination. Excessively high temperatures may also induce stuck fermentation by disrupting enzyme and membrane functions. Because yeast strains differ in this response, the optimum temperature for vinification can vary widely (13). It is well known from the literature that the life cycle of yeast is activated from dormancy, when it is added to the fermentation liquid. Yeast growth follows four phases: the lag phase, which appears after the inoculation of yeast cells in the medium and represents the period of adjustment in their new environment; the growth phase, during which yeast cells multiply and the growth rate becomes maximum; the stationary phase, in which yeast cells develop their action as fermenting organisms; and finally, the decline or death phase, during which yeast cells die because of the high ethanol concentrations and the lack of nutrition substances in the fermentation liquid (14 –16). Alcoholic fermentation kinetics With increasing interest in the industrial application of alcoholic fermentation, various kinetic models have been proposed in the literature for cells suspended in batches or continuous operations (17 –21). Parameters such as maximum specific growth rate for growth phase have been measured, in addition to biomass concentration, fermentation and substrate uptake or dilution rate for steady-state fermentation. Kinetic models can provide valuable information when the cell composition is time-dependent. As stated before, the yeast growth cycle # The Author [2013]. Published by Oxford University Press. All rights reserved. For Permissions, please email: [email protected] follows four phases, which are arbitrary because all of the phases may overlap in time. The development of appropriate mathematical models can be a good approximation for describing the cell growth cycle and the kinetics of fermentation. In 1945, Monod reported an empirical equation to describe cell growth as a function of the limiting substrate concentration (22). Since then, various models have been reported in the literature describing the kinetics of alcoholic fermentation processes. A wide range of empirical models has been used to study alcoholic fermentation in terms of cell concentration, substrate utilization rate and ethanol production rate. The most widely used model (21) provides the coefficients for substrate uptake and product formation. The models of Monod (22) and Teissier (23) represent inhibition-free kinetics. Edwards (24) and Luong (25) provide equations for substrate inhibition effects, whereas the models of Hinselwood (26), Ghose and Tyagi (27) and Aiba et al. (28) include product inhibition kinetics. Gulnur et al. (29) used the models proposed by Monod (22) and Hinselwood (26) for the description of immobilized Saccharomyces cerevisiae cells at low and high initial glucose concentrations. Blanco et al. (21) conducted a comparative study of alcoholic fermentation under similar pH and temperature conditions, but different initial glucose concentrations of culture medium. After testing various empirical models, the Hinselwood model (26) was found to be the best for this work. Gulnur et al. (29) presented a mathematical description for the fermentation characteristics of Saccharomyces cerevisiae cells immobilized on Ca-alginate gel beads in a stirred batch system of different initial glucose concentrations. The experimental results were tested using 11 well-known mathematical models, taking into account the possibility of glucose or ethanol inhibition on both yeast cell growth and ethanol production. Caro et al. (30) proposed a kinetic expression that accounts for the temperature dependence in batch alcoholic fermentations. According to that, the specific growth rates of Saccharomyces cerevisiae at 20 and 158C were 0.090 and 0.024 h21, respectively. Moreover, Ozilgen et al. (31) proposed simple mathematical models for simulating microbial growth, reducing sugar utilization and increasing ethanol production and temperature in a spontaneous wine-making process. They calculated the rate constants for the third phase between 0.039 h21 (fast fermentation) and 0.042 h21 (slow fermentation). Ciani et al. (32) determined the growth kinetics and fermentation behavior of five non-Saccharomyces yeast species associated with wine-making. The specific growth rates for Saccharomyces cerevisiae, calculated by cell number and dry weight, were 0.262 and 0.085 h21, respectively. Giovanelli et al. (33) reported specific growth rates of Saccharomyces cerevisiae equal to 0.13 h21 under aerobic conditions and 0.07 h21 under anaerobic conditions. Furthermore, according to Birol et al. (34), the observed maximum specific growth rates were determined between 0.191 and 0.201 h21. Godia et al. (17) used a different technique, based on the integration of the different rate equations in the modeling of batch alcoholic fermentation using Saccharomyces cerevisiae at different temperature and initial sugar concentrations. The kinetic parameters for the maximum specific growth rate and the maximum specific fermentation rate were calculated using two mathematical models. Chen et al. (20) presented a modified kinetic model suitable for continuous cultures and ethanol fermentations under high gravity fermentation conditions, through which the specific growth rate of Saccharomyces cerevisiae and the ethanol production rate for different initial and residual glucose concentrations were determined. The maximum values of 0.146 and 1.172 h21, respectively, were illustrated at an initial glucose concentration of 200 g/L. Differences observed in the proposed kinetic models confirm that the equation parameters depend not only on the species of the used microorganism, but also on other factors, such as fermentation temperature and glucose concentration. Chromatographic techniques for the study of alcoholic fermentation Chromatographic techniques are widely used for determining volatile compounds and ethanol content in wines and alcoholic beverages. Such compounds are important for the classification, quality control and sensory evaluation of wines (35, 36). Fernandes et al. (37) used different multidimensional chromatographic techniques to study wine aroma pattern changes during malolactic fermentation (MLF). Ethyl lactate enantiomeric ratios were determined using online multidimensional gas chromatography. The values corresponded with a spontaneous MLF. Offline multidimensional high-performance liquid chromatography/gas chromatography (HPLC/GC) was used to deconvolute and enrich the sample and to ease enantioselective chromatography. Aroma compounds were analyzed by HPLC. Peinado et al (38) used an Agilent 6890 Series Plus gas chromatograph with electronic pressure control to develop and validate a simple method for quantifying many of the most important volatile compounds and polyols in wine in a single chromatographic run. The composition and content of odor compounds determine the quality of alcoholic products. The smell of an alcoholic beverage is the effect of many chemical compounds with different properties (such as polarity or volatility) occurring at widely differing concentrations. The chemical composition of the odors depends on the quality and type of the raw materials and on the conditions of the fermentation process. Gas chromatography–olfactometry (GC–O) studies on the odor of alcoholic beverages usually have the goal of determining the relationship between the composition and the content of volatile compounds and the organoleptic properties of products such as beer (39, 40), wines (41, 42) and whiskeys (43), in addition to the identification and comparison of the compounds entering the aroma of different alcoholic beverages, such as wines (44 – 51) or cognacs (52, 53). Distilled alcoholic beverages, wines and beers, are often characterized by GC or gas chromatography– mass spectroscopy (GC–MS) analysis of fatty acids and their esters, which contribute to the taste and quality of these commodities. Fatty acids in wines are mostly straight-chain C6– C10 acids. They are derived from yeast during fermentation, and from the firm tissues of the grapes. As in distilled alcoholic beverages, fatty acids in wine occur as free acids and ethyl esters at low levels New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 765 (mg/L). GC analysis of the major aroma components has been conducted by means of solvent extraction with 1,1,2-trichlorotrifluoroethane (Kaltron or Freon 113) using a large sample to solvent ratio (100:1) (54). The required sensitivity for GC – flame ionization detection (FID) analysis was achieved by large volume injection with solvent removal in a program temperature vaporizer (PTV) liner. Recently, the applications of solidphase microextraction (SPME) to the GC analysis of wines have frequently been reported in literature. Vas et al. demonstrated (55) that SPME-GC – MS was a simple, quick and sensitive approach for characterization of wines. Regarding distilled alcoholic beverages, strong anion-exchange solid-phase extraction (SAX-SPE) has been used for the selective isolation of organic acids from wines. In the procedure reported by Deng (56), the ethyl ester derivatives of C4 –C18 fatty acids and other organic acids were extracted by dichloromethane and reproducibly quantified by GC– FID using internal standards. The applicability of supercritical fluid extraction –gas chromatography (SFE – GC) for analyzing wine aroma has been evaluated by Blanch et al., using PTV as an interface to trap the analytes (57). Conventional GC has also been applied by Tsakiris et al. (58) to examine the quality of wines by determining methanol and ethanol concentrations. Moreover, Mallouchos et al. (59) reported the analysis of volatile compounds during the alcoholic fermentation of grape must using free and immobilized cells on delignified cellulosic materials (DCM) with the help of SPME. Repeated batch fermentations were conducted using biocatalysts and free cells at temperatures of 20, 15 and 108C. SPME was used to monitor the formation of volatile alcohols, acetate esters and ethyl esters of fatty acids. The kinetics of volatile production was similar for free and immobilized cells. In a further study, Kandylis et al. (60) used GC to evaluate the ethanol productivity (dP/dt) and additionally to calculate the activation energies of free and immobilized cells using a form of the Arrhenius equation: lnðdP =dt Þ ¼ lnðAX Þ Ea=RT ð1Þ where X is the cell mass concentration (g/L). This equation describes the curve obtained by plotting ln(dP/dt) versus 1/T. From the slope and intercept of this straight line, the activation energy, Ea, and the Arrhenius preexponential factor, A, can be calculated. More specifically, these studies, after a theoretical consideration, concluded that the support may behave as a catalyst or a promoter of the catalytic activity of the enzymes involved in the fermentation process, causing a reduction in the activation energy. The activation energy of the immobilized cells on corn starch gel cells was 36% smaller than that of free cells (62.2 and 97.4 kJ/mol, respectively), confirming the catalytic activity of the immobilization support. Furthermore, using the common form of the Arrhenius equation k ¼ A expðEa=RT Þ ð2Þ and substituting Ea and A, the reaction rate constants were calculated for free and immobilized cells at temperatures between 15 and 308C. Immobilization and temperature significantly affected the reaction rate constants ( p , 0.01 in both cases), and a strong interaction was also observed between them 766 Lainioti and Karaiskakis ( p , 0.01). More specifically, an apparent rate constant was measured for the whole fermentation process at 308C that was 1.8-fold higher than that of free cells (0.808 and 0.454 h21, respectively). A decrease in fermentation temperature made the reaction rate constant of immobilized cells, for the whole fermentation process at 158C, 3.6-fold higher than that of free cells (0.223 and 0.061 h21, respectively). These results prove that starch gel acts as a catalyst. The aim of this review, concerning the new approaches to the kinetic study of alcoholic fermentation, is to present the techniques of reversed-flow gas chromatography (RFGC) and field-flow fractionation (FFF) for the determination of physicochemical quantities related to the kinetics of the alcoholic fermentation and for the analysis of yeast cell proliferation during alcoholic fermentations conducted under different environmental conditions. New Approaches Reversed-flow gas chromatography Theory The principle on which the RFGC method is based is illustrated in Figure 1A. A long diffusion column, of length L1, containing the liquid at its bottom, is connected perpendicularly to the mid-point of a so-called sampling column, of length l 0 þ l, and the whole cell is thermostated inside the oven of the chromatograph. The two ends of the sampling column are connected to the carrier gas inlet and the flame ionization detector through a four-port valve, as shown. By switching this valve from one position (solid lines) to the other (dashed lines), the direction of the carrier gas flow through the column of length l 0 þ l is reversed, producing sample peaks in the recorder line. It has been pointed out in previous work (61, 62) that if the gas flow is reversed for a short time, t 0 , shorter than both gas hold-up times in the column sections l 0 and 1, and then restored again to the original direction, a symmetrical sample peak is produced, as shown in Figure 1B. The maximum height, H, of the peak, measured from the ending baseline, is given by H 2c ðl 0 ; t0 Þ ð3Þ where c (l 0 , t0) is the vapor concentration at x ¼ l 0 , and the time t0 is measured from the moment of placing the liquid at the bottom of a column of length (L1 þ L2) (L1 is the diffusion column and L2 is the column in which the liquid is placed) (61) to the last backward reversal of gas flow. It has been shown (61) that each sample peak produced by a short flow reversal is symmetrical and its maximum height, H, from the ending baseline is given by H ¼ 2kc Dcg f1 exp½2ðkc L1 þ DÞt0 =L12 g U ðkc L1 þ DÞ ð4Þ where kc is the mass transfer coefficient for solute evaporation, D is the diffusion coefficient of the solute vapor into the carrier gas, cg is the concentration of the vapor in equilibrium Figure 1. Schematic representation of the experimental arrangement of the RFGC system for the determination of ethanol concentration in the fermentation medium (A); sample peaks of ethanol at 308C obtained by RFGC (B). From Ref.[78], with permission. with the bulk liquid phase concentration, cl, at the working temperature and u is the linear velocity of the carrier gas. Modification of Eq. 4 leads to two approximate solutions, one for short times and one for long times. The latter approximation is as follows (63): lnðH1 H Þ ¼ lnH1 ð2kc L1 þ DÞ=L12 t0 ð5Þ where H1 is the infinity value for the peak height, given by the expression to the left of the brackets in Eq. 4, i.e., [u(kcL1 þ D)]. Eq. 5 shows that a plot of ln(H1 – H) versus t0 should be linear, and from the slope –2(kcL1 þ D)/L21, a first approximation value for kc can be calculated from the known value of L1 and a theoretically calculated value of D. This value of kc can be used to plot the data at short times according to the shorttime approximation, which is as follows (63, 64): " ln H L1 1=2 2t0 !# 1=2 þ k c t0 " # 4kc cg D 1=2 L2 1 ¼ ln 1 u p 4D t0 ð6Þ From the slope 2L 21/4D of a plot of the left-hand side of Eq. 6 versus 1/t0, the first experimental value is found for D. This can be used with the slope found from the plot of Eq. 5 to calculate a better approximation of the kc value, and this is used to replot Eq. 6 for a better approximation of the D value. These iterations can be continued until no significant changes result in the values of kc and D, but it is not usually necessary to go beyond the first iteration. As mentioned before, the height of the sample peaks reaches a maximum value, H ¼ H1, after which it remains constant. The relation between the maximum height, H1, and the ethanol concentration, cl, is given by Eq. 7 (63, 64): cg ¼ c1 uH1 ¼ ðL1 =D þ 1=kc Þ K 2 ð7Þ where K is the partition coefficient. The preceding procedure was repeated in different fermentation periods (tx) from the beginning to the end of the fermentation process and the corresponding values of Hx were New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 767 measured. It is known that fermentation is a continuous process; taking into account that samples were drawn from the fermentation mixture in different time periods (from the beginning to the end) of this process, the measured H1 values can be combined with the H01 value, which is the value of H1 at the end of the fermentation. The value of H01 corresponds to the final ethanol concentration. The relation between H01 and H1 has been already derived (63, 64) and has the final form: lnðH10 H1 Þ ¼ ln H10 ktx ð8Þ where k is the rate constant for the ethanol production, which can easily be calculated by plotting ln(H01 2H1) against tx. Experimental As mentioned previously, the development of appropriate mathematical models can provide valuable information about the life cycles of yeast cells. The estimation of the duration of each of the previously discussed phases (lag, growth, stationary and decline) is of great importance because it allows the determination of the rate constants for each phase of the fermentation process. The aforementioned can be conducted by developing an appropriate mathematical model for the analysis of the experimental data obtained from a versatile gas chromatographic technique, RFGC. RFGC can be applied for the determination of ethanol production during alcoholic fermentation processes by measuring the ethanol produced at any time during the fermentation process. A gas chromatograph (Shimadzu-8A) equipped with an FID was used for the separation and quantitation of ethanol (Figure 1A). The chromatograph was slightly modified to include a T-shaped cell constructed from a glass chromatographic tube inside the chromatographic oven and a four-port gas valve (Figure 1A). The oven of the system contained the sampling column, consisting of two sections of lengths l ¼ l 0 ¼ 100 cm and the diffusion column with length L1 ¼ 43 cm. At the lower end of diffusion column, a glass vessel (L2 ¼ 5 cm) containing the fermentation mixture was connected. The two columns comprised the sampling cell, which was connected to the carrier gas inlet and the detector so that the carrier gas flow through the sampling column (no carrier gas flows through the diffusion column) could be reversed in direction at any time desired. This can be done by using a four-port valve to connect the ends of the sampling column to the carrier gas supply and the detector, as shown schematically in Figure 1A. An analytical column (2 m 1/4 in. 2 mm glass) packed with 5% Carbowax-20 M and 80/120 mesh Carbopack BAW, which was kept at 1158C, was placed before the detector to separate ethanol from the by-products of alcoholic fermentation. The temperature of the detector was set at 1508C, whereas the temperature of the chromatographic cell was 758C. The experiments were conducted under constant flow rate (20 mL/min) using helium as carrier gas. An aliquot of 0.5 mL of the fermentation mixture was added to the glass vessel (Figure 1A) at constant temperature and pressure. By the time a concentration-time curve appeared, the chromatographic procedure began by reversing the carrier gas flow direction through the Shimadzu valve for 6 s. This period of time was shorter than the gas hold-up time in both sections l and l 0 . When the flow of the carrier gas was restored to its 768 Lainioti and Karaiskakis original direction, sampling peaks were recorded, like those shown in Figure 1B. Finally, solutions with different ethanol concentration (%, v/v) in triply distilled water were placed into the glass vessel at the end of the diffusion column and the values of H1 were measured. These values and their corresponding ethanol concentrations were plotted and a calibration curve (slope ¼ 1.202 cm/M, intercept ¼ 0.041 cm and R 2 ¼ 0.999) was obtained. According to the calibration curve and by measuring the height of the sample peaks during the fermentation process, the unknown ethanol concentrations of each fermentation mixture can be found. Applications on kinetic study of alcoholic fermentation RFGC is a sub-technique of inverse gas chromatography, which was introduced in 1980 by Professor N. A. Katsanos (67) and his colleagues (at the University of Patras, Greece). RFGC involves the change of the carrier gas flow direction at various time intervals. It has a vast number of applications in a wide scientific field, such as the determination of diffusion coefficients (68 –71), adsorption equilibrium constants (72 –74), Lenard-Jones parameters (75), activity coefficients (76), rate constants for alcoholic fermentations, gaseous reactions (77 – 81) and heterogenous catalytic reaction (82– 88), and molecular diameters and critical volumes (89). The RFGC technique was first applied for the kinetic study of the alcoholic fermentation process on the industrial scale in conjunction with measurements of suspended particles in the fermenting medium by Economopoulos et al. (66). It was found that the overall process consists of four phases that have different first-order rate constants during ethanol formation. The RFGC technique provides an easy study of the chemical kinetics during each phase of the overall process. As reported by Lainioti et al. (16), RFGC was one of the separation techniques that was used for the distinction of the growth phases of Saccharomyces cerevisiae cell cycles at different temperatures and pH values. As previously mentioned (in the “Introduction”), alcoholic fermentation is divided into four phases, which can be correlated to the growth cycle phases of AXAZ-1 cells (77, 16). As a result, the four slopes in Figure 2 correspond to the lag, growth, stationary and decline phases of the alcoholic fermentation processes. The estimation Figure 2. Variation of ln(H01 – H1) with time for AXAZ-1 cells at pH 5 and T ¼ 308C for the first (diamonds), second (squares), third (triangles) and fourth (circles) alcoholic phases. From Ref.[16], with permission. of the duration of each of the fermentation phases is of great importance because it allows the determination of physicochemical parameters of crucial interest, such as rate constants and activation energies, for each phase of the fermentation process. According to the slopes of Figure 2, which result from Eq. 8, the values of reaction rate constants, k, for ethanol production can be calculated at the four phases of the alcoholic fermentations conducted with free and immobilized cells at various initial glucose concentrations. The results presented in Table I are mean values of the rate constants; their standard deviations are also given. The aforementioned slopes were confirmed from the R 2 values, which were within 0.960 –0.999. The greatest values of the reaction rate constants were observed at the second and fourth phases (growth and decline phase, respectively), whereas the lowest and almost stable values were observed at the first phase (lag phase), during which the total biomass concentration did not show any change. As reported by Lainioti et al. (77), RFGC was applied for the kinetic study of the alcoholic fermentation process conducted with cells of the alcohol-resistant and psychrophilic Saccharomyces cerevisiae AXAZ-1 yeast strain, either free or immobilized on wheat, barley and corn grains or on potato pieces. Repeated alcoholic fermentations with must of varying initial glucose concentrations were performed to estimate the catalytic efficiency of the biocatalysts used in the present study. In this work, each fermentation process consisted of three phases, which corresponded to the growth, stationary and decline phases of the alcoholic fermentation. The literature shows that the duration of the lag phase is highly dependent on the fermentation efficiency of yeast cells, the conditions of the fermentation procedure, the immobilization carrier and other factors. Considering the great fermentation efficiency of AXAZ-1 cells immobilized on wheat, barley, corn grains and potato pieces, and their quick adaptation in the fermentation liquid, the lag phase is not easily observed. In the present work, the rate constants k1 and k2, which correspond to the growth and stationary phases, were decreased when the glucose concentration increased. This can be attributed to the negative influence of the osmotic stress that high sugar contents of the fermentation liquid exert in the growth of yeast cells. The values of k3, which correspond to the decline phase for all systems, reached a maximum value at an initial glucose concentration of 205 g/L, which indicated that this glucose concentration comprised the best environment for them to ferment. Additionally, the values of k3 rate constants for Table I Rate Constants, k, with their Standard Deviations for the Fermentation Phases of AXAZ-1 Cells at pH 5.0 and at 30, 25, 20 and 158C, Obtained by RFGC (From Ref.[16], with permission) Temperature (8C) 30 25 20 15 k 103 (h21) First phase Second phase Third phase Fourth phase 8.2 + 0.4 6.7 + 0.3 6.4 + 0.1 5.5 + 0.1 200.0 + 0.8 130.0 + 0.8 70.0 + 0.8 30.3 + 0.2 45.0 + 0.9 30.3 + 1.2 15.2 + 0.4 8.0 + 0.2 200.0 + 0.9 120.2 + 0.7 70.2 + 0.7 30.3 + 0.8 ethanol production in the decline phase were of the same order of magnitude as those observed at the growth phase. This behavior may be because once the decline phase begins, yeast cells have already reached their maximum values. This means that the production of ethanol occurs at a high rate because there are large numbers of cells in the fermentation liquid at this moment. Consequently, what is called the decline phase in the present work corresponds to an initial stage of the decline phase of the growth cycle of yeast cells. The decline phase was not completed due to the great fermentation efficiency of AXAZ-1 cells, which managed to rapidly terminate the fermentation processes. In another work by Lainioti et al. (78), RFGC was employed for the determination of the alcoholic fermentation phases and kinetic parameters for free and immobilized cell systems at different initial glucose concentrations and temperature values. The immobilization of the wine yeast Saccharomyces cerevisiae AXAZ-1 was accomplished on wheat and corn starch gels to prepare new biocatalysts of great interest for the fermentation industry. With great accuracy, resulting from a literature review, RFGC led, to the determination of reaction rate constants and activation energies at each phase of the fermentation processes. With respect to many factors (immobilization carrier and fermentation conditions), yeast cells may have a quick and easy adaptation in the fermentation environment. In addition to this, the lag phase in many cases is too short to be detected. Thus, in this work, three phases appeared in the diagram showing the variation of ln(H01 – H1) versus tx , corresponding to the growth, stationary and decline phases, respectively. Rate constants k1 and k3, which correspond to growth and decline phases, reached a maximum value at initial glucose concentration of 205 g/L for all systems in which the higher number of yeast cells was observed, as shown from the results of Table II. This behavior indicates that this glucose concentration comprised the best environment for cells to ferment. After the concentration of 205 g/L, a decrease in the rate constants (k1 and k3) was observed in free and immobilized systems with an increase in glucose concentration. This can be attributed to the Table II Rate Constants, k, with their Standard Deviations, for Each Phase of Alcoholic Fermentation in the Presence and Absence of an Immobilization Carrier (Wheat and Corn Starch Gels) at Different Initial Glucose Concentrations (From Ref.[78], with permission) Initial glucose concentration (g/L) k (103 h21) First phase Wheat starch gel 177.1 + 0.1 205.2 + 0.3 246.8 + 0.2 300.1 + 0.8 Corn starch gel 177.2 + 0.2 205.1 + 0.1 247.0 + 0.3 300.0 + 0.4 Free cells 177.1 + 0.7 204.9 + 0.7 247.0 + 0.2 300.2 + 0.6 Second phase Third phase 71.6 + 0.8 93.4 + 0.6 28.6 + 0.6 15.2 + 1.0 15.0 + 0.6 14.8 + 0.7 4.2 + 0.2 4.2 + 0.1 94.8 + 0.8 99.5 + 0.3 28.1 + 0.9 23.6 + 0.8 126.6 + 0.9 158.7 + 0.5 31.4 + 1.1 16.6 + 0.6 24.7 + 0.7 15.9 + 0.3 5.1 + 0.6 4.3 + 0.6 110.0 + 0.9 120.0 + 0.4 38.3 + 0.8 27.8 + 0.6 40.1 + 0.9 48.4 + 0.8 11.8 + 0.9 10.9 + 0.6 4.9 + 0.9 4.9 + 0.8 4.5 + 0.2 1.8 + 0.03 31.5 + 0.7 35.8 + 0.9 18.4 + 0.8 12.5 + 0.6 New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 769 negative influence of the osmotic stress that high sugar contents of the fermentation liquid exert in the growth of yeast cells. The rate constant k2, which corresponds to the stationary phase, was decreased with the increased glucose concentration in all systems. Comparing free and immobilized systems, the rate constants for immobilized cells were higher than those observed in free cells. By summarizing the previously mentioned results, the increase in glucose concentrations had a negative influence on the growth of AXAZ-1 cells and rate constant values. Moreover, the decrease of fermentation temperature caused substantial reductions in the viability of immobilized cells and in rate constant values. Because the rate constants for ethanol production have been calculated by the RFGC technique, activation energies for each phase of the alcoholic fermentations can be determined from the Arrhenius equation (Eq. 2). Through the slope of the graphical representation of lnk versus 1/T (Figure 3) as reported by Lainioti et al. (78), corn starch gel presented lower values of activation energies than those of wheat starch gel, as shown in Table III. However, the two supports presented higher catalytic efficiency than free cell systems, because they presented 32 and 39% reduced activation energies for the first (growth) phase of the alcoholic fermentations, 22 and 32% for the second (stationary) phase and 17 and 23% for the third (decline) phase, when wheat and corn starch gel were used, respectively. Moreover, considering the results of a previously mentioned work (16), the activation energy for the first (lag) phase of the alcoholic fermentation process was 18.4 + 0.4 kJ/mol, whereas for the remaining phases (second, growth; third, stationary; fourth, decline), higher values were observed: 90.5 + 0.2, 94.5 + 0.3 and 95.6 + 0.5 kJ/mol, respectively. The results of activation energies, given in Table III, are in the same order of magnitude with previous studies published in literature (60, 79), in which the activation energy of AXAZ-1 cells immobilized on corn starch gel and potato pieces was 62.2 and 61.1 kJ/mol, respectively, for the whole fermentation process. This agreement of bibliographic and experimental values confirms the reliability of the RFGC method for the kinetic study of the alcoholic fermentation process and the great catalytic activity of the immobilized AXAZ-1 cells. Moreover, it shows that the immobilization carrier may act as a catalyst or a promoter of the catalytic activity of the enzymes involved in the fermentation process. Field-flow fractionation Theory FFF is classified as a one-phase chromatographic technique in which an externally adjusted force field is applied to the suspended particles under motion in a channel. The particles are pushed to one of the channel walls so that they occupy a thin layer close to the accumulation wall. The thickness of the layer is an explicit function of the applied field, particle size and density of both particles and carrier solution. It is an elution technique, and as in classical chromatography, sample components elute at retention volumes that are related, and often rigorously predictable, to various physicochemical properties of the retained species. The FFF technique is ideally suited to analytical-scale separation and characterization of particles (80, 81). Different kind of fields have been applied to FFF. They can be a sedimentation field or a thermal gradient, an electrical field or a secondary flow. The type of field defines the FFF sub-techniques, which, therefore, shows wide applicability. Gravitational field-flow fractionation (GrFFF) is the simplest and cheapest among FFF techniques. It is a subset of sedimentation field-flow fractionation (SdFFF) that is suitable for the separation and characterization of various micrometer-sized particles of different origin (90, 91). It employs Earth’s gravitational field applied perpendicularly to a very thin, empty channel. GrFFF is very appealing in the field of biological applications. It has been applied to living samples such as parasites (92) and blood cells (93) because of its simplicity, low cost and reduced risk of sample degradation. It has also been used in the characterization of albumin (94), liposomes (95) and colloidal materials (96 –101). In normal FFF, the sample is forced toward the wall of the channel by the applied field to form a layer of unique thickness, which depends upon the interaction of the sample with the field and the opposing diffusion or Brownian motion of the sample away from the wall. These opposing processes result in a steady-state exponential layer distribution of sample near the channel wall, given by the following (102): c ¼ c0 expðx=l Þ ð9Þ where c is the concentration of sample at distance x from the wall, c0 is the wall concentration (x ¼ 0) and l is the characteristic distance termed the mean layer thickness of the solute. As the solute zones are swept down the channel, those with larger l values penetrate faster moving streamlines and are swept toward the end of the channel at a higher rate. In the case of an exponential distribution and a parabolic velocity profile confined between infinite parallel plates Table III Activation Energies, Ea, with their Standard Deviations, for Each Phase of Alcoholic Fermentations in the Presence and Absence of the Immobilization Carrier (From Ref.[78], with permission) Biocatalyst Figure 3. Arrhenius plots of lnk versus 1/T 103 (1/K) for the evaluation of the activation energy of each phase of the alcoholic fermentations conducted with cells immobilized on wheat (triangles), corn starch gels (squares) and free cells (circles). From Ref.[78], with permission. 770 Lainioti and Karaiskakis Wheat starch gel Corn starch gel Free cells Ea (kJ/mol) First phase Second phase Third phase 67.3 + 0.4 60.5 + 0.4 99.4 + 0.2 62.6 + 0.4 54.7 + 0.5 80.0 + 0.3 60.3 + 0.5 55.5 + 0.6 72.5 + 0.5 (Figure 4), the expression for the retention ratio R (void volume V0/retention volume Vr) is found as follows (102): R¼ V0 ¼ 6l½cothð1=2lÞ 2l 6l Vr ð10Þ where l ¼ l/w (w is the width of the channel, i.e., the distance between the flat walls confining the flow) is a dimensionless ratio, which is the basic retention parameter of FFF. The approximation R 6l is valid in the limit of high retention (small R and small l), which is approximately valid for almost the entire practical range of operating conditions in FFF. In sedimentation FFF, l is related to the diameter d of a spherical particle (for nonspherical particles, d is the Stokes diameter, which is the diameter of a sphere of equal diffusivity), by the following expression (102): l¼ 6kT pd 3 GwDr ð11Þ where k is the Boltzmann’s constant, T is the temperature, G ¼ v2r is the magnitude of the sedimentation field expressed as acceleration (v is the angular velocity and r is the radius of the centrifuge basket inside which the channel is fitted) and Dr is the density difference between particle and carrier. Combining Eqs. 10 and 11 leads to pGwDrV0 3 d ¼ L d3 36kT pGwDrV0 where L ¼ 36kT Vr ¼ ð12Þ ð13Þ Eq. 12 shows that in normal sedimentation FFF, the retention volume increases with particle diameter until steric effects dominate, at which transition point there is a foldback in elution order. As the particle radius becomes appreciable compared with l, the mechanism of migration undergoes a transition from that of normal FFF to that of steric FFF. Steric FFF predominates when the radius of the particle, a, exceeds the mean layer thickness, l. Under these circumstances, the movement of the particle down the channel is determined largely by the particle radius. Whereas R, under normal conditions, is found from Eq. 10, in steric FFF, the same parameter is given by the following expression (102): R ¼ 6g a 3g d ¼ w w ð14Þ where the factor g accounts for the drag-induced reduction in velocity. The retention volume, Vr, is therefore, given by the expression Vr ¼ wV0 1 wV0 1 1 ¼ ¼ L0 d 6g a 3g a wV0 where L0 ¼ 3g ð15Þ ð16Þ Eq. 15 shows that Vr in steric FFF is inversely proportional to particle diameter d, in contrast to the dependence on d 3 in normal FFF, given by Eq. 12. Thus, the large particles tend to move more quickly than the smaller ones in steric FFF, and the separation mechanism is based on inherent particle size rather than on the ability of a particle to undergo Brownian diffusion. Experimental The GrFFF system used for the kinetic study of the alcoholic fermentation, which has been described in detail elsewhere (103), has the following dimensions: length, l ¼ 48.3 cm; breadth, a ¼ 2.0 cm; thickness, w ¼ 0.021 cm. The channel void volume, V0, measured by the elution of the non-retained sodium benzoate peak, was found to be 2.025 cm3. A Gilson Minipuls 2 peristaltic pump was used to pump the carrier solution and the sample to the channel, whereas a Gilson model 112 UV/VIS detector operated at 254 nm, and a Linseis model L6522 recorder were also used for sampling analysis. Polystyrene particles of different diameters (nominal 2.013 + 0.025, 4.991 + 0.035, 9.975 + 0.061, 15.02 + 0.08 and 20.00 + 0.10 mm) from Duke Scientific Corporation, dispersed in triply distilled water, were used for the optimization of the elution conditions. The carrier solution was triply distilled water containing 0.5% v/v FL-70 (Fisher Scientific Co.), a low-foaming, low-alkalinity and phosphate-, chromate- and silicate-free mixture of anionic and cationic surfactant and 0.02% (w/v) sodium azide (Fluka AG) as bacteriocide. An aliquot of 25 mL was drawn from the fermentation mixture and injected into the channel by a microsyringe. Following injection, the longitudinal flow (50 mL/h) was stopped for 10 min to allow sample relaxation. The general form of fractograms from which the data were obtained is illustrated in Figure 5, showing the detector signal. Applications on kinetic study of alcoholic fermentation The employment of analytical techniques has rapidly increased in terms of the separation and characterization of macromolecules and micro-sized particles. One of the most widely used separation techniques is FFF, which has proved, over more than three decades, the ability to characterize supramolecular species in a size range spanning many orders of magnitude (104). In industrial fermentation processes, such as baking, wine making, brewing and potable and fuel grade alcohol production, yeasts are added as promoters. In the past few years, the FFF technique has been applied for the study of yeasts. More specifically, GrFFF has been applied for the characterization of yeast cells (105, 106) and the study of the viability and activity of Saccharomyces cerevisiae strains during wine fermentation (107, 108). Sanz et al. (107) used GrFFF to characterize several commercial active dry wine yeasts from Saccharomyces cerevisiae and Saccharomyces bayanus. It was demonstrated that during the wine fermentation process, differences in the elution curves and peak profiles during fermentation can be related to the different cell growth stages. Moreover, the different fermentation kinetic profiles of yeast strains could be correlated with the corresponding fractograms monitored by GrFFF. The effective capability of GrFFF to characterize winemaking yeast was further investigated by Sanz et al. (109) on four different types of yeast (Cryoaromae, Fermol Rouge, Awri 350 and Killer). Figure 6A shows the fractogram of the yeast sample Fermol Bouquet, which shows a broad profile with two maxima that can be ascribed to a multimodal character of the distribution of the Fermol Bouquet yeast population. Figure 6B shows a bimodal distribution of the size of the sample population. New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 771 Figure 4. Schematic representation of the experimental arrangement of the FFF technique. Figure 5. Fractograms obtained by GrFFF, showing the peak profiles of: corn (A); wheat starch granules (B). From Ref.[110], with permission. Lainioti et al. (108) used GrFFF to study the effect of temperature (15, 20, 25 and 308C) on the fermentation kinetics and the proliferation of the alcohol-resistant and psychrophilic Saccharomyces cerevisiae (AXAZ-1) yeast strains in the 772 Lainioti and Karaiskakis presence or absence of wheat starch granules as immobilization carrier. As shown (Figure 7), fermentations at 308C for immobilized cells indicated a monomial yeast cell size distribution, for 0 h , t , 2 h, which was kept almost constant, according to the values of retention volume (Vr) which correspond to the maximum points of the resolution peaks. This fact reveals an initial lag phase during which yeast is adjusting to its new environment and beginning to grow in size. Fermentations at 15, 20 and 258C began more slowly, as observed by their longer lag phase (monomial distribution until 4.5 h) and the slower fermentation rate. As the fermentation proceeded at 308C, the yeast cells tended to cluster together (flocculate) and a bimodal size distribution was observed. At this point, the yeast began to reproduce rapidly and the number of yeast cells increased (thus known as the growth phase). However, the growth phase was retarded at 15, 20 and 258C. At 308C, and for t . 8.5 h, a monomial distribution appeared again, showing a steady-state period in which the size of the strains remained almost constant. According to the values of Vr for free cells, the way of cell proliferation proved to be almost similar to that of immobilized cell systems. The differences in the form of the fractograms are primarily due to the absence of the wheat starch granules in the culture medium. The results, in general, indicated that both systems (free and immobilized cells) performed better at 308C, whereas at lower temperatures, decreases were observed in the fermentation rate and in the number of viable cells. The activation energy for the fermentation process was reduced in the case of immobilized cells compared with free cells. GrFFF was also applied to study the influence of pH and initial glucose concentration on the growth of the Saccharomyces cerevisiae yeast strain in the presence or the Figure 6. Fractogram of the yeast sample Fermol Bouquet showing the three collected fractions: Fraction 1 from 4.5 to 10 min, Fraction 2 from 10 to 12 min, Fraction 3 from 12 to 17 min (A); size distribution and scanning electron micrograph of the Fermol Bouquet population, obtained under the conditions described in the “Experimental” section (B). Total cells counted from 2 to 7 mm: 11,618. The fractions in Figure 6A are tentatively indicated on the Coulter size distribution pattern. From Ref.[109], with permission. absence of corn and wheat starch granules as immobilization carriers (110). Fermentations were conducted at different values of pH (3.0, 4.0, 5.0 and 6.0) and initial glucose concentrations (177, 205, 247 and 300 g/L) to find the most favorable situation for the growth and proliferation of Saccharomyces cerevisiae cells. The results indicate that the growth of yeast cells was enhanced at pH 5.0 and glucose concentrations of 177 and 205 g/L. Higher glucose concentrations (247 and 300 g/L) acted as inhibitors to cell proliferation. Immobilization on wheat starch provided wider peak profiles, suggesting a broad size of cells and lower concentrations of haploid cells than cells immobilized on corn starch granules. The distinction of the phases of the yeast cell cycle was also accomplished through the GrFFF technique. For further confirmation of the results, the Michaelis-Menten model was used to calculate the Michaelis-Menten constant, Km, and the maximal velocity, Vmax, which are indicative factors for the affinity of the enzymes or cells to the substrate and the number of enzymatic or cellular molecules. The change of yeast populations was studied through the variation of the peak profiles in the fractograms, because the GrFFF technique is able to detect changes during the cell cycle. Differences observed in the elution curves can be related to the different cell size distribution, the unlike cell density and the morphology and/or shape (93). Figure 8 shows some selected fractograms for free and immobilized cells at different fermentation time periods during the alcoholic fermentations at pH 5.0 and glucose concentration of 205 g/L. The fractograms of Figure 8 show that during the alcoholic fermentations of free cells at glucose concentrations of 177 and 205 g/L (Figure 8A), the growth phase appeared at 4.5 h, whereas the stationary and decline phases appeared at 8.5 and 12.0 h, respectively. However, with the increase of glucose concentrations (247 and 300 g/L), the phases were slowed due to the growth-inhibitory effect. During the fermentations of cells immobilized on corn starch (Figure 8B), a bimodal yeast cell size distribution (lag phase) was observed at 0 h , t , 2.0 h for a glucose concentration of 205 g/L, which was kept almost constant. As the fermentation proceeded, the growth phase (trinomial distribution) appeared at 2.5 h , t , 7.5 h, and it was followed by a stable distribution, which represented the stationary phase (8.0 h , t , 10 h). The decline phase followed from 10.5 h until the end of the reaction, with a bimodal distribution taking place again. Fermentations at 177 g/L New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 773 Figure 7. Fractograms obtained by GrFFF at T ¼ 308C and pH5.0 for: free cells at t ¼ 0, 6.5 and 18 h (A); cells immobilized on wheat starch granules at t ¼ 0 h, 6.5 and 12 h (B). From Ref.[108], with permission. proceeded almost the same as that at 205 g/L, whereas fermentations at 247 and 300 g/L began more slowly, shown by their longer lag phases (lag phase until 6.5 h for 247 g/L and 10 h for 300 g/L). The growth phase was slowed (7.0 h , t , 12 h for 247 g/L and 10.5 h , t , 20 h for 300 g/L), and it was followed by a stable trinomial distribution, revealing the stationary phase at 12.5 h for 247 g/L and at 20.5 h for 300 g/L. The decline phase appeared at 19 and 29 h for concentrations of 247 and 300 g/L, respectively. For cells immobilized on wheat starch at glucose concentration of 205 g/L (Fig. 8C), the growth phase appeared at 2.5 h , t , 6.5 h, stationary phase at 7.0 h , t , 9.0 h and decline phase at 9.5 h, which lasted until the end of the reaction. In the fractograms of free cells, the second elution peak corresponds to the daughter cells, which have been separated from mother cells (first elution peak) during the cell reproduction. 774 Lainioti and Karaiskakis To relate the different GrFFF profiles with the kinetics of the fermentation processes, the latter were monitored by the determination of fermentation time and reducing sugar contents (determination of Michaelis-Menten constants) at different time periods. The lowest value of Km for free and immobilized cells was found at pH 5.0 showing the high affinity of cells to the substrate at this pH value. Combination of RFGC and FFF with other chromatographic techniques The combination of RFGC with GrFFF can enrich the information concerning the kinetics of the fermentation process. In a study conducted by Lainioti et al. (16), the GrFFF and the RFGC techniques were used for the kinetic study and distinction of the growth phases of AXAZ-1 cell proliferation during alcoholic fermentations conducted under different environmental conditions. Figure 8. Fractograms obtained by GrFFF at pH 5.0 and glucose concentrations of 205 g/L at t ¼ 2h, 6.5 and 8.5 h for free (A) and immobilized cells: on corn (B); wheat starch granules (C). From Ref.[110], with permission. The use of GrFFF for the determination of elution curves and retention volumes, in combination with RFGC, through which reaction rate constants were calculated, showed that the distinction of the phases of the AXAZ-1 cell cycle with the GrFFF presented similar times to the distinction of alcoholic fermentation phases conducted with the RFGC technique. Moreover, by the combination of the previously mentioned techniques (GrFFF and RFGC) with HPLC (16, 110), through which sugar consumption was determined, the maximal fermentation rates and the time of maximal populations were determined, which appeared in the growth phase. Finally, the application of both GrFFF and RFGC techniques in combination with HPLC led to the determination of the ideal experimental conditions (temperature and pH) for alcoholic fermentation with AXAZ-1. Advantages of RFGC A detailed kinetic study of alcoholic fermentation in a factory, following the various steps that lead to the final product, may provide valuable information about the mechanism of the whole process. This could help to reduce the total time of the process, thus lowering the cost of the ethanol produced. A mechanistic study of this kind cannot be based on conventional methods of chemical analysis, like distillation or traditional GC, because these methods may alter the composition of samples taken at intermediate times, which will lead to erroneous conclusions regarding the mechanism. Two possible sources of error are the relatively high temperature used in the analysis and the effects of the filling materials used to pack the chromatographic columns on the analysis mixture. The RFGC technique does not suffer from these two sources of error and can be used for the present purposes. It is a flow perturbation method that has been reviewed (61, 111) and described in more detail in two books (63, 112). Moreover, although conventional GC with FID or MS detection has repeatedly been used for measuring both ethanol concentration and by-products during the fermentation process, RFGC can successfully be applied for the determination of not only the ethanol concentration, but also of physicochemical quantities such as reaction rate constants and activation energies related to the kinetics of each phase of the alcoholic fermentation. This will lead to substantial information referring to the evaluation of the catalytic activity of biocatalysts. Advantages of GrFFF GrFFF is a simple, accurate and low-cost technique, with the ability to monitor the proliferation of Saccharomyces cerevisiae cells through their elution profiles. As it has been demonstrated (107), differences in the elution curves and peak profiles during fermentation can be related to the different cell growth stages. New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 775 Because the GrFFF technique has a significant number of applications on yeast cells, it has also proved to be a useful tool for the study of the effects of experimental conditions ( pH and temperature) on AXAZ-1 growth kinetics. GrFFF is suitable to determine the variation of the size distribution of a cell. In combination with other analytical techniques, such as RFGC and HPLC, useful information can be drawn for the monitoring of Saccharomyces cerevisiae (AXAZ-1) cell proliferation and the kinetic parameters during alcoholic fermentation. Conclusions The present work gives a broad overview of the methodologies used for the kinetic study of alcoholic fermentation. The increasing interest in the industrial applications of alcoholic fermentation has led to the employment of various kinetic models for cells suspended in batch or continuous operations. Parameters such as maximum specific growth rate, biomass concentration, fermentation and substrate uptake and dilution rate, have been measured for steady-state fermentation. For many batch processes, it is very important to define the optimum conditions to achieve sufficient profitability. For this reason, experiments have been conducted with specific kinetic models testing pH and temperature conditions, initial glucose concentrations of culture medium, the growth of yeast cells, ethanol production and many other parameters. The development of appropriate mathematical models can be considered a good approximation for describing the cell growth cycle and the kinetics of fermentation. In recent years, intensive studies have been conducted regarding the kinetic study of alcoholic fermentation by chromatographic techniques. Conventional GC and HPLC have been extensively used for ethanol concentration and sugar uptake. The composition and content of odor compounds that determine the quality of alcoholic products have been characterized by GC –MS–O. Distilled alcoholic beverages, wines and beers, are often characterized by GC or GC– MS analysis of fatty acids and their esters, which contribute to the taste and quality of these commodities. Specific attention is also placed on some new approaches for the kinetic study of alcoholic fermentation. The review presents RFGC, a simple and precise technique, which leads with great accuracy to the determination of reaction rate constants and activation energies at each phase of the alcoholic fermentation process, characterizing the catalytic activity of yeast cells. Moreover, GrFFF has been applied for the characterization of yeast cells and the study of the viability and activity of Saccharomyces cerevisiae strains during wine fermentation. Differences in the elution curves and peak profiles during fermentation can be related to the different cell growth stages. The combination of RFGC and GrFFF with other chromatographic techniques can provide valuable information about ethanol fermentation, growth cycles of yeast cells, sugar consumption and other parameters of vital important for the continuous fermentation process. Although many chromatographic techniques and appropriate mathematical models have been used for the kinetic study of alcoholic fermentation, there is still need for improvement in 776 Lainioti and Karaiskakis recognizable techniques. Further research is still required for the optimization of functional parameters that are very important, considering the possibility of implementing new approaches for the kinetic study of the fermentation processes into industrial practice. References 1. Schwann, T.; A preliminary communication concerning experiments on fermentation of wine and putrefaction; Annual Review of Physical Chemistry, (1837); 41: 184– 193. 2. Scanes, K.T., Hohmann, S., Prior, B.A.; Glycerol production by the yeast Saccharomyces cerevisiae and its relevance to wine: A review; South African Journal of Enology and Viticulture, (1998); 19: 17 –24. 3. Garcia, M.A., Oliva, J., Barba, A., Camara, M.A., Pardo, F., Diaz-Plaza, E.M.; Effect of fungicide residues on the aromatic composition of white wine inoculated with three Saccharomyces cerevisiae strains; Journal of Agricultural and Food Chemistry, (2004); 52: 1241– 1247. 4. Loukatos, P., Kiaris, M., Ligas, I., Bourgos, G., Kanellaki, M., Komaitis, M., et al.; Continuous wine making by g-alumina-supported biocatalyst quality of the wine, distillates; Applied Biochemistry and Biotechnology, (2000); 89: 1– 13. 5. Bakoyianis, V., Kanellaki, M., Kaliafas, A., Koutinas, A.A.; Low-temperature wine making by immobilized cells on mineral kissiris; Journal of Agricultural and Food Chemistry, (1992); 40: 1293– 1296. 6. Demuyakor, B., Ohta, Y.; Promotive action of ceramics on yeast ethanol production, and its relationship to pH, glycerol and alcohol dehydrogenase activity; Applied Microbiology and Biotechnology, (1992); 36: 717–721. 7. Smidsrod, O., Skjak, G.; Alginate as immobilization matrix for cells; Trends in Biotechnology, (1990); 8: 71 –78. 8. Bardi, E.P., Koutinas, A.A.; Immobilization of yeast on delignified cellulosic material for room temperature and low-temperature wine making; Journal of Agricultural and Food Chemistry, (1994); 42: 221–226. 9. Holcberg, I.B., Margalith, P.; Alcoholic fermentation by immobilized yeast at high sugar concentrations; European Journal of Applied Microbiology and Biotechnology, (1981); 13: 133– 140. 10. Kourkoutas, Y., Komaitis, M., Koutinas, A.A., Kanellaki, M.; Wine production using yeast immobilized on apple pieces at low and room temperatures; Journal of Agricultural and Food Chemistry, (2001); 49: 1417–1425. 11. Kourkoutas, Y., Komaitis, M., Koutinas, A.A., Kaliafas, A., Kanellaki, M., Marchant, R., et al. Wine production using yeast immobilized on quince biocatalyst at temperatures between 30 and 0 C; Food Chemistry, (2003); 82: 353– 360. 12. Fleet, G.M. (ed). Yeasts: Growth during fermentation. Wine microbiology and biotechnology. Harwood Academic Publishers, Switzerland, (1993), p. 27. 13. Jackson, R.S. Wine science. Principals and applications, 3rd Ed., Elsevier Science & Technology, New York, NY, (2008), p. 332. 14. Farmakis, L., Koliadima, A.; Kinetic study of cell proliferation of Saccharomyces cerevisiae strains by sedimentation/steric field flow fractionation in situ; Biotechnology Progress, (2005); 21: 971–977. 15. Farmakis, L., Kapolos, J., Koliadima, A., Karaiskakis, G.; Study of the growth rate of Saccharomyces cerevisiae strains using wheat starch granules as support for yeast immobilization monitoring by sedimentation/steric field-flow fractionation; Food Research International, (2007); 40: 717–724. 16. Lainioti, G.Ch., Kapolos, J., Koliadima, A., Karaiskakis, G.; New separation methodologies for the distinction of the growth phases of Saccharomyces cerevisiae cell cycle; Journal of Chromatography A, (2010); 1217: 1813–1820. 17. Gódia, F., Casas, C., Solá, C.; Batch alcoholic fermentation modeling by simultaneous integration of growth and fermentation equations; Journal of Chemical Technology and Biotechnology, (1988); 41: 155–165. 18. Reynders, M.B., Rawlings, D.E., Harrison, S.L.; Studies on the growth, modelling and pigment production by the yeast Phaffia rhodozyma during fed-batch cultivation; Biotechnology Letters, (1996); 18: 649–654. 19. Ramon-Portugal, F., Delia-Dupuy, M.L., Pingaud, H., Riba, J.P.; Kinetic study and mathematical modelling of the growth of S. cerevisiae 522D in the presence of K2 killer protein; Journal of Chemical Technology and Biotechnology, (1997); 68: 195– 201. 20. Chen, L.J., Xu, Y.L., Bai, F.W., Anderson, W., Moo-Young, M.; Observed quasi-steady kinetics of yeast cell growth and ethanol formation under very high gravity fermentation condition; Biotechnology and Bioprocess Engineering, (2005); 10: 115–121. 21. Blanco, M., Peinado, A.C., Mas, J.; Monitoring alcoholic fermentation by joint use of soft and hard modeling methods; Analytical Chimica Acta, (2006); 556: 364–373. 22. Monod, J.; The growth of bacterial cultures; Annual Review of Microbiology, (1949); 3: 371– 394. 23. Teissier, G.; Growth of bacterial populations and the available substrate concentration; Review of Scientific Instruments (1942); 3208: 209– 214. 24. Edwards, V.H.; The influence of high substrate concentrations on microbial kinetics; Biotechnology and Bioengineering, (1970); 27: 679– 712. 25. Luong, J.H.T.; Generalization of monod kinetics for analysis of growth data with substrate inhibition; Biotechnology and Bioengineering, (1987); 29: 242– 248. 26. Hinshelwood, C.N.; The chemical kinetics of the bacterial cells. Oxford University Press, London, (1946). 27. Ghose, T.K., Tyagi, R.D.; Rapid ethanol fermentation of cellulose hydrolysate. II. Product and substrate inhibition and optimization of fermentor design; Biotechnology and Bioengineering, (1979); 21: 1401– 1420. 28. Aiba, S., Shoda, M., Nagatani, M.; Kinetics of product inhibition in alcohol fermentation. Biotechnology and Bioengineering, (1968); 10: 845– 864. 29. Gulnur, B., Pemra, D., Betul, K., Ilsen, O., Kutlu, U.; Mathematical description of ethanol fermentation by immobilized Saccharomyces Cererisiae; Process Biochemistry, (1998); 33(7): 763– 771. 30. Caro, I., Pérez, L., Cantero, D.; Development of a kinetic model for the alcoholic fermentation of must; Biotechnology and Bioengineering, (1991); 38: 742– 748. 31. Ozilgen, M., Celik, M., Bozoglu, T.F.; Kinetics of spontaneous wine production; Enzyme and Microbial Technology, (1991); 13: 252– 256. 32. Ciani, M., Picciotti, G.; The growth kinetics and fermentation behaviour of some non-Saccharomyces yeasts associated with winemaking; Biotechnology Letters, (1995), 17: 1247– 1250. 33. Giovanelli, G., Peri, C., Parravicini, E. Kinetics of grape juice fermentation under aerobic and anaerobic conditions; American Journal of Enology and Viticulture, (1996); 47: 429–434. 34. Birol, G., Doruker, P., Kirdar, B., Onsan, Z.I., Ulgen, K.; Mathematical description of ethanol fermentation by immobilized Saccharomyces cerevisiae; Process Biochemistry, (1998); 33: 763– 771. 35. Etievant, P.; Volatile compounds in food and beverages. In Wine. TNO-CIVO, Food Analyse Inst.: Zeist, The Netherlands, (1991), pp. 483–546. 36. Nykänen, L., Suomalainen, H.; Aroma of beer, wine and distilled alcoholic beverages. Reidel Publishing Co., Dordrecht, The Netherlands, (1983). 37. Fernandes, L., Relva, A.M., Gomes da Silva, M.D.R., Costa Freitas, A.M.; Different multidimensional chromatographic approaches applied to the study of wine malolactic fermentation; Journal of Chromatography A, (2003); 995: 161–169. 38. Peinado, R.A., Moreno, J.A., Muñoz, D., Medina, M., Moreno, J.; Gas chromatographic quantification of major volatile compounds and polyols in wine by direct injection; Journal of Agricultural and Food Chemistry, (2004); 52: 6389–6393. 39. Lermusieau, G., Collin, S.; Volatile sulfur compounds in hops and residual concentrations in beer—A review; Journal of American Society of Brewing Chemistry, (2003); 61: 109– 113. 40. Soares da Costa, M., Goncalves, C., Ferreira, A., Ibsen, C., Guedes de Pincho, P., Silva Ferreira, A.C.; Further insights into the role of methional and phenylacetaldehyde in lager beer flavor stability; Journal of Agricultural and Food Chemistry, (2004); 52: 7911–7917. 41. Campo, E., Ferreira, V., Escudero, A., Cacho, J.; Prediction of the wine sensory properties related to grape variety from dynamic headspace gas chromatography–olfactometry data; Journal of Agricultural and Food Chemistry, (2005); 53: 5682–5690. 42. Lee, S.J., Noble, A.C.; Characterization of odor-active compounds in Californian chardonnay wines using GC– olfactometry and GC– mass spectrometry; Journal of Agricultural and Food Chemistry, (2003); 51: 8036–8044. 43. Wanikawa, A., Hosoi, K., Kato, T., Nakagawa, K.; Identification of green note compounds in malt whisky using multidimensional gas chromatography; Flavour and Fragrance Journal, (2002); 17: 207–211. 44. Cullere, L., Escudero, A., Cacho, J., Ferreira, V. Gas chromatography– olfactometry and chemical quantitative study of the aroma of six premium quality Spanish aged red wines; Journal of Agricultural and Food Chemistry, (2004); 52: 1653–1660. 45. Ferreira, V., Aznar, M., Lopez, R., Cacho, J.; Quantitative gas chromatography– olfactometry carried out at different dilutions of an extract. Key differences in the odor profiles of four high-quality Spanish aged red wines; Journal of Agricultural and Food Chemistry, (2001); 49: 4818– 4824. 46. Gurbuz, O., Rouseff, J.M., Rouseff, R.L.; Comparison of aroma volatiles in commercial Merlot and Cabernet Sauvignon wines using gas chromatography–olfactometry and gas chromatography-mass spectrometry; Journal of Agricultural and Food Chemistry, (2006); 54: 3990–3996. 47. Guth, H.; Quantitation and sensory studies of character impact odorants of different white wine varieties; Journal of Agricultural and Food Chemistry, (1997); 45: 3027–3032. 48. Kotseridis, Y., Razungles, A., Bertrand, A., Baumes, R. Differentiation of the aromas of merlot and cabernet sauvignon wines using sensory and instrumental analysis; Journal of Agricultural and Food Chemistry, (2000); 48: 5383–5388. 49. Lopez, R., Ferreira, V., Hernandez, P., Cacho, J.F.; Identification of impact odorants of young red wines made with merlot, cabernet sauvignon and grenache grape varieties: A comparative study; Journal of the Science of Food and Agriculture, (1999); 79: 1461–1467. 50. Petka, J., Ferreira, V., Gonzales-Vinas, M.A., Cacho, J. Sensory and chemical characterization of the aroma of a white wine made with devin grapes; Journal of Agricultural and Food Chemistry, (2006); 54: 909–915. 51. Schneider, R., Baumes, R., Bayonove, C., Razungles, A.; Volatile compounds involved in the aroma of sweet fortified wines (Vins Doux Naturels) from Grenache Noir; Journal of Agricultural and Food Chemistry, (1998); 46: 3230–3237. 52. Ferrari, G., Lablanquie, O., Cantagrel, R., Ledauphin, J., Payot, T., Fournier, N., et al.; Determination of key odorant compounds in freshly distilled cognac using GC–O, GC– MS, and sensory evaluation; Journal of Agricultural and Food Chemistry, (2004); 52: 5670–5676. 53. Lablanquie, O., Snakkers, G., Cantagrel, R., Ferrari, G.; Characterization of young cognac spirit aromatic quality; Analytical Chimica Acta, (2002); 458: 191–196. 54. Rapp, K., MacNamara, K., Hoffmann, A.; Proceedings of the 18th International Symposium on Capillary Chromatography, Riva del Garda, Italy, (1996). New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 777 55. Vas, G.Y., Koteleky, K., Farkas, M., Dobo, A., Vekey, K.; Fast screening method for wine headspace compounds using solid-phase microextraction (SPME) and capillary GC technique; American Journal of Enology and Viticulture, (1998); 49: 100–104. 56. Deng, C.R.; Determination of total organic acids in wine by interfacial deviatization gas chromatographic methods; Sepu, (1997); 15: 505– 507. 57. Blanch, G.P., Reglero, G., Herraiz, M.; Analysis of wine aroma by off-line and online supercritical fluid extraction-gas chromatography; Journal of Agricultural and Food Chemistry, (1995); 43: 1251– 1258. 58. Tsakiris, A., Sipsas, V., Bekatorou, A., Mallouchos, A., Koutinas, A.A.; Red wine making by immobilized cells and influence on volatile composition; Journal of Agricultural and Food Chemistry, (2004); 52: 1357– 1363. 59. Mallouchos, A., Komaitis, M., Koutinas, A., Kanellaki, M.; Investigation of volatiles evolution during the alcoholic fermentation of grape must using free and immobilized cells with the help of solid phase microextraction (SPME) headspace sampling; Journal of Agricultural and Food Chemistry, (2002); 50: 3840– 3848. 60. Kandylis, P., Goula, A., Koutinas, A.A.; Corn starch gel for yeast cell entrapment. A view for catalysis of wine fermentation; Journal of Agricultural and Food Chemistry, (2008); 56: 12037– 12045. 61. Katsanos, N.A., Karaiskakis, G.; Reversed-flow gas chromatography applied to physicochemical measurements; Advances In Chromatography, (1984); 24: 125–180. 62. Katsanos, N.A., Karaiskakis, G.; Temperature variation of gas diffusion coefficients studied by the reversed-flow sampling technique; Journal of Chromatography, (1983); 254: 15 –25. 63. Katsanos, N.A.; Flow perturbation gas chromatography. Marcel Dekker, New York, NY, (1988). 64. Karaiskakis, G., Katsanos, N.A.; Rate coefficients for evaporation of pure liquids and diffusion-coefficients of vapors; Journal of Physical Chemistry, (1984); 88: 3674–3678. 65. Katsanos, N.A., Karaiskakis, G., Agathonos, P.; Measurement of activity-coefficients by reversed-flow gas chromatography; Journal of Chromatography, (1986); 349: 369–376. 66. Economopoulos, N., Athanassopoulos, N., Katsanos, N.A., Karaiskakis, G., Agathonos, P., Vassilakos, Ch.; A plant kinetic-study of alcoholic fermentation using reversed-flow gas chromatography; Separation Science and Technology, (1992); 27: 2055–2070. 67. Katsanos, N.A., Karaiskakis, G., Agathonos, P.; Measurement of activity-coefficients by reversed-flow gas chromatography; Journal of Chromatography, (1986); 349: 369–376. 68. Katsanos, N.A., Gavril, D., Karaiskakis, G.; Time-resolved determination of surface diffusion coefficients for physically adsorbed or chemisorbed species on heterogenous surfaces, by inverse gas chromatography; Journal of Chromatography A, (2003); 983: 177– 193. 69. Kapolos, J., Bakaoukas, N., Koliadima, A., Karaiskakis, G.; Measurements of diffusion coefficients in porous solids by inverse gas chromatography; Journal of Phase Equilibria and Diffussion, (2005); 26(5): 477– 481. 70. McGivern, W.S., Manion, J.A.; Extending reversed-flow chromatographic methods for the measurement of diffusion coefficients to higher temperatures; Journal of Chromatography A, (2011); 1218, 8432–8442. 71. Karaiskakis, G., Gavril, D.; Determination of diffusion coefficients by gas chromatography; Journal of Chromatography A, (2004); 1037: 147– 189. 72. Katsanos, N.A., Kapolos, J., Gavril, D., Bakaoukas, N., Loukopoulos, V., Koliadima, A., et al.; Time distribution of adsorption entropy of gases on heterogeneous surfaces by reversed-flow gas chromatography; Journal of Chromatography A, (2006); 1127(1-2): 221– 227. 73. Gavril, D., Koliadima, A., Karaiskakis, G.; Adsorption studies of gases on Pt 2 Rh bimetallic catalysts by reversed-flow gas chromatography; Langmuir, (1999); 15(11): 3798–3806. 778 Lainioti and Karaiskakis 74. Katsanos, N.A., Bakaoukas, N., Koliadima, A., Karaiskakis, G., Jannussis, A.; Diffusion and adsorption measurements in porous solids by inverse gas chromatography; Journal of Physical Chemistry B, (2005); 109(22): 11240–11246. 75. Karaiskakis, G.; A reversed-flow GC technique-Lenard-Jones parameters; Journal of Chromatographic Science; (1985); 23: 360–363. 76. Katsanos, N.A., Karaiskakis, G., Agathonos, P.; Measurement of activity-coefficients by reversed-flow gas chromatography; Journal of Chromatography, (1986); 349: 369–376. 77. Lainioti, G.Ch., Kapolos, J., Koliadima, A., Karaiskakis, G.; Kinetic study of the alcoholic fermentation process, in the presence of free and immobilized Saccharomyces Cerevisiae cells, at different initial glucose concentrations by reversed flow gas chromatography; Chromatographia, (2010); 72: 1149– 1156. 78. Lainioti, G.Ch., Kapolos, J., Koliadima, A., Karaiskakis, G.; The study of the influence of temperature and initial glucose concentration on the fermentation process in the presence of Saccharomyces cerevisiae yeast strain immobilized on starch gels by reversed-flow gas chromatography; Preparative Biochemistry and Biotechnology, (2012); 41: 1–18. 79. Kandylis, P., Koutinas, A.A.; Extremely low temperature fermentations of grape must by potato-supported yeast, strain AXAZ-1. A contribution is performed for catalysis of alcoholic fermentation; Journal of Agricultural and Food Chemistry, (2008); 56: 3317–3327. 80. Dalas, E., Karaiskakis, G.; Characterization of inorganic colloidal materials by steric field-flow fractionation. I. Determination of particle size distribution; Colloids and Surfaces, (1987); 28: 169. 81. Koliadima, A., Karaiskakis, G.; Sedimentation field-flow fractionation: A new methodology for the concentration and particle size analysis of dilute polydisperse colloidal samples; Journal of Liquid Chromatography & Related Technologies, (1988); 11(14): 2863–2883. 82. Katsanos, N.A., Karaiskakis, G., Niotis, A.; Catalytic hydrodesulfurization of thiophene studied by the reversed-flow gas-chromatography technique; Journal of Catalysis, (1985); 94: 376–384. 83. Karaiskakis, G., Lycourghiotis, A., Katsanos, N.A.; Kinetic study of the drying step of supported catalysts by reversed-flow gas chromatography; Chromatographia, (1982); 15(6): 351–354. 84. Karaiskakis, G., Katsanos, N.A., Lycourghiotis, A. Kinetics of carbon-monoxide oxidation over CO3O4 containing catalysts studied by the reversed-flow technique; Canadian Journal of Chemistry, (1983), 61(8): 1853–1857. 85. Karaiskakis, G., Katsanos, N.A., Georgiadou, I., Lycourghiotis, A.; Catalytic dehydration of alcohols studied by reversed-flow gas chromatography; Journal of the Chemical Society-Faraday Transactions I, (1982); 78: 2017–2022. 86. Kotinopoulos, M., Karaiskakis, G., Katsanos, N.A.; Catalytic deamination by reversed-flow gas chromatography; Journal of the Chemical Society-Faraday Transactions I, (1982); 78: 3379–3382. 87. Gavril, D., Katsanos, N.A., Karaiskakis, G.; Gas chromatographic kinetic study of carbon monoxide oxidation over platinum-rhodium alloy catalysts; Journal of Chromatography A, (1999); 852(2): 507– 523. 88. Gavril, D., Karaiskakis, G.; Study of the sorption of carbon monoxide, oxygen and carbon dioxide on platinum-rhodium alloy catalysts by a new chromatographic methodology; Journal of Chromatography A, (1999); 845(1-2): 67– 83. 89. Karaiskakis, G., Niotis, A., Katsanos, N.A.; Characterization of gases by the reversed-flow GC technique; Journal of Chromatographic Science, (1984); 22(12): 554–558. 90. Chmelik, J., Krumlová, A., Cáslavský, J.; Characterization of starch materials from barley by gravitational field-flow fractionation and matrix-assisted laser desorption/ionization mass spectrometry; Chemical Papers, (1998); 52: 360– 361. 91. Bories, C., Cardot, Ph.J.P., Abramowski, V., Pons, C., Merino, A., Baron, C.; Elution mode of pneumocystis carinii cysts in 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. gravitational field-flow fractionation; Journal of Chromatography, (1992); 579: 143– 152. Bernard, A., Bories, C., Loiseau, P.M., Cardot, Ph.J.P.; Selective elution and purification of living Trichomonas vaginalis using gravitational field-flow fractionation; Journal of Chromatography B, (1995); 664(2): 444– 448. Merino-Dugay, A., Cardot, Ph.J.P., Czok, M., Guernet, M., Andreaux, J.P.; Monitoring of an experimental red blood cell pathology with gravitational field-flow fractionation; Journal of Chromatography B, (1992); 579: 73– 83. Caldwell, K.D., Karaiskakis, G., Myers, M.N., Giddings, J.C.; Characterization of albumin microspheres by sedimentation fieldflow fractionation; Journal of Pharmaceutical Science, (1981); 70(12): 1350–1352. Caldwell, K.D., Karaiskakis, , Giddings, J.C.; Characterization of liposomes microspheres by sedimentation field-flow fractionation; Colloids and Surfaces, (1981); 3(3): 233–238. Dalas, E., Karaiskakis, G.; Characterization of inorganic colloidal materials by steric field-flow fractionation. 1. Determination of particle-size distribution; Colloids and Surfaces, (1987); 28: 169– 183. Karaiskakis, G., Koliadima, A.; Potential-barrier field-flow fractionation, a versatile new separation method; Journal of Chromatography, (1990); 517: 345–359. Athanasopoulou, A., Karaiskakis, G.; Potential-barrier gravitational field-flow fractionation for the analysis of polydisperse colloidal samples; Chromatographia, (1995); 40: 734–736. Karaiskakis, G., Koliadima, A.; Potential-barrier gravitational fieldflow fractionation for the separation and characterization of colloidal particles; Chromatographia, (1989); 28: 31– 33. Koliadima, A., Karaiskakis, G.; Concentration and characterization of dilute colloidal samples by potential-barrier field-flow fractionation; Chromatographia, (1994); 39: 74– 78. Giddings, J.C., Karaiskakis, G., Caldwell, K.D.; Concentration and analysis of dilute colloidal samples by sedimentation field-flow fractionation; Separation Science and Technology, (1981); 16(6): 725–744. 102. Giddings, J.C., Yang, F.J., Myers, M.N.; Sedimentation field-flow fractionation; Analytical Chemistry, (1974); 46: 1917–1922. 103. Myers, M.N., Giddings, J.C.; Properties of the transition from normal to steric field-flow fractionation; Analytical Chemistry, (1982); 54: 2284–2289. 104. Giddings, J. C.; Field-flow fractionation: Analysis of macromolecular, colloidal, and particulate materials; Science, (1993); 260: 1456–1465. 105. Sanz, R., Galceran, M.T., Puignou, L.; Determination of viable yeast cells by gravitational field-flow fractionation with fluorescence detection; Biotechnology Progress, (2004); 20: 613–618. 106. Sanz, R., Torsello, B., Reschiglian, P., Puignou, L., Galceran, M.T.; Improved performance of gravitational field-flow fractionation for screening wine-making yeast varieties; Journal of Chromatography A, (2002); 966: 135–143. 107. Sanz, R., Galceran, M.T., Puignou, L.; Field-flow fractionation as analytical technique for the characterization of dry yeast: Correlation with wine fermentation activity; Biotechnology Progress, (2003); 19: 1786–1791. 108. Lainioti, G.Ch., Kapolos, J., Koliadima, A., Karaiskakis, G.; The study of the effect of fermentation temperature on the growth kinetics of Saccharomyces cerevisiae yeast strain, in the presence or absence of support, by chromatographic techniques; Journal of Liquid Chromatography & Related Technologies, (2011); 34: 195–208. 109. Sanz, R., Puignou, L., Reschiglian, P., Galceran, M.T.; Gravitational field-flow fractionation for the characterization of active dry wine yeast; Journal of Chromatography A, (2001); 919: 339–347. 110. Lainioti, G.Ch., Kapolos, J., Koliadima, A., Karaiskakis, G.; Influence of pH and initial glucose concentration on the growth of Saccharomyces cerevisiae yeast strain by gravitational field-flow fractionation; Separation Science and Technology, (2011); 46: 893–903. 111. Katsanos, N.A., Karaiskakis, G.; Analytical applications of reversedflow gas chromatography; Analyst, (1987); 112: 809–813. 112. Katsanos, N.A., Karaiskakis, G.; Time-resolved inverse gas chromatography and its applications. HNB Publishing, New York, NY, (2004). New Approaches to the Kinetic Study of Alcoholic Fermentation by Chromatographic Techniques 779
© Copyright 2026 Paperzz