Journal of Experimental Botany, Vol. 52, No. 362, pp. 1769-1777,
September 1, 2001
© 2001 Oxford University Press
Original Papers |
Comparative study of the O2, CO2 and temperature effect on respiration between Conference pear cell protoplasts in suspension and intact pears
Flanders Centre/Laboratorium of Postharvest Technology, Katholieke Universiteit Leuven, Willem de Croylaan 42, B-3001, Leuven, Belgium
Received 8 February 2001; Accepted 21 May 2001
| Abstract |
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The influence of the O2 and CO2 concentration and the temperature on the O2 uptake rate of cool-stored intact pears and pear cell protoplasts in suspension was compared. Protocols to isolate pear cell protoplasts from pear tissue and two methods to measure protoplast respiration have been developed. Modified MichaelisMenten kinetics were applied to describe the effect of the O2 and the CO2 concentration on the O2 uptake rate and temperature dependence was analysed with an Arrhenius equation. Both systems were described with a non-competitive type of CO2 inhibition. Due to the inclusion of gas diffusion properties, the MichaelisMenten constant for intact pears (2.5 mM) was significantly larger than the one for protoplasts in suspension (3 µM), which was in turn larger than the MichaelisMenten constant obtained in mitochondrial respiration measurements described in the literature. It was calculated that only 3.6% of the total diffusion effect absorbed in the MichaelisMenten constant for intact pears, could be attributed to intracellular gas diffusion. The number of cells per volume of tissue was counted microscopically to establish a relationship between the pear cell protoplast and intact pear O2 uptake rate. A remarkable similarity was observed: values of 61.8 nmol kg-1 s-1 for protoplasts and 87.1 nmol kg-1 s-1 for intact pears were obtained. Also, the inhibitory effect of CO2 on the respiration rate was almost identical for protoplasts and intact pears, suggesting that protoplast suspensions are useful for the study of other aspects of the respiration metabolism.
Key words: Pyrus communis L., protoplast isolation, respiration, metabolism, modelling.
| Introduction |
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Respiration plays a central role in the overall metabolism of a plant, and it is, therefore, often used as a general measure of metabolic rate (Kays, 1991
However, modern studies of respiration by plant mitochondria have shown that the electron transport system is branched, terminating in two different terminal oxidase systems: a cytochrome oxidase and an alternative cyanide-resistant oxidase, each with its own affinity for O2 (Millar et al., 1994
). In such a case, the MichaelisMenten model can still be used as a semi-empirical model to describe the respiration characteristics, although its parameters should then be interpreted with caution. Since it is impossible to separate the activities of the two terminal oxidase systems in intact pears, and the same model structure should be taken for comparison purposes, the MichaelisMenten model was used to describe the respiration of pear cell protoplasts in suspension.
For some commodities, the CO2 concentration influences the O2 consumption as well (Kerbel et al., 1990
; Peppelenbos and van't Leven, 1996
). However, the mechanism by which elevated CO2 influences the regulation of the respiratory metabolism is still obscure and several hypotheses have been proposed for its mode of action (Mathooko, 1996
). Chang distinguished three types of CO2 inhibition on the reaction rate of an enzyme: competitive, uncompetitive and non-competitive inhibition (Chang, 1981
). More recently, a mixed type of inhibition has been used (Peppelenbos and van't Leven, 1996
). However, those models describe a combined effect of respiration and gas diffusion: the cytochrome c oxidase, which is believed to be the rate-determining enzymatic reaction, is saturated at O2 levels lower than 5% (Cameron et al., 1995
). Nevertheless, the respiration rate of some commodities still increases with increasing O2 levels above 5%. This phenomenon is due to diffusion limitations, caused by the fruit skin and/or the tissue (Peppelenbos and van't Leven, 1996
). Diffusion barriers, between the external atmosphere and mitochondria, the actual place were respiration takes place, should be taken into account (Solomos, 1987
; Rajapakse et al., 1990
; Knee, 1991
) or eliminated. Boersig et al. studied the similarities between the responses of intact fruits and suspensions of cultured cells to limiting O2 concentrations (Boersig et al., 1988
). Brady and Romani used cell cultures of Passe Crassane pear to study the respiration in non-growing cultured pear fruit cells in response to ethylene and modified atmospheres (Brady and Romani, 1988
). However, in the literature so far, no quantitative description is available for the O2 uptake rate of protoplasts, isolated from intact pear tissue, as a function of temperature, CO2 and O2 concentration. The protoplast suspension was preferred above measurements on mitochondria for several reasons. Cell protoplasts are the smallest building blocks of tissue. They can be isolated easily and their viability can be assessed microscopically. Moreover, the cell can be seen as a small bioreactor in which the mitochondria, the centres of respiration, live in a natural and physiologically optimal environment. Finally, the cell protoplast respiration parameters can be coupled back to those of intact pears, to compare the respiration characteristics, which is difficult to do for mitochondria.
The constructed protoplast respiration model could serve as a building block for a respirationdiffusion model to describe the distribution of the O2 and CO2 concentration in an intact pear. This respirationdiffusion model can then be used to study the physiological mechanism of core breakdown, a disorder that occurs during storage of Conference pears (Pyrus communis L.) (Lammertyn et al., 2000
).
There are three objectives in this paper. The first objective was to develop a protocol to isolate pear cell protoplasts from intact pear tissue. The respiration rate was measured on these protoplasts instead of on cultured cells which might have a different metabolism and might be ripeness stage independent. The second objective was to study the influence of O2 and CO2 concentrations and temperature on the respiration rate of intact pears and pear cell protoplasts in suspension, quantitatively with modified MichaelisMenten kinetics. Different techniques to monitor O2 consumption were developed and their potential to provide accurate and reliable information on the protoplast O2 uptake rate will be discussed. Thirdly, the respiration characteristics of intact pears and protoplasts in suspension were compared, to address the effect of macroscopic gas diffusion. For modelling purposes, it was assumed that there were no gas gradients within the protoplast.
| Materials and methods |
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Fruit material
Pears (Pyrus communis L.) were harvested in September 1999 at a pre-climacteric stage at the Proeftuin voor Pit- en Steenfruit van het Proefcentrum voor de Fruitteelt in Velm (Belgium), and were cooled (-0.5 °C) for a period of 21 d preceding controlled atmosphere (CA) storage (2% O2, 0.7% CO2 and -0.5 °C) until they were used for the experiments, approximately 4 months after harvesting.
Intact pear respiration measurements
Respiration measurements on intact pears were carried out in a similar way to that described earlier (Peppelenbos and van't Leven, 1996
; de Wild et al., 1999
). The pears were placed separately in 1.2 l glass jars. After an adaptation period of 40 h, during which the jar headspace was flushed at 20 l h-1 with the applied humidified gas mixture, the jars were closed and the initial headspace (O2, N2 and CO2) was measured with a gas chromatograph (Chrompack CP 2002, Bergen op Zoom, The Netherlands). Depending on the temperature (7, 15 or 23 °C), the headspace was analysed again after 8, 6 or 4 h. The total pressure was measured before and after each measurement (PTX 1400, Druck, Germany). The difference in gas partial pressure was converted to molar concentration according to the ideal gas law. The O2 consumption rate was expressed in nmol per unit weight (kg fresh weight) and per unit time (s).
The respiration rate was measured for a full factorial design of 8 O2 partial pressures (0, 1, 2, 4, 8, 10, 15, 20 kPa) and 3 CO2 partial pressures (0, 5, 15 kPa) at 23 °C. To include the temperature effect in the gas exchange model, it was sufficient to measure the respiration rate at 20 kPa O2 for the temperatures 7 °C and 15 °C (Hertog et al., 1998
). Eight replicates were measured per treatment.
Protoplast isolation, protoplast viability and microscopy
Pear slices (20 g) of 1 mm thickness were gently macerated in a flask (500 ml) with 200 ml maceration medium containing 0.5 g pectinase (Merck, Germany), 1 ml cellulase Rohament-PL (Röhm Enzyme GmbH, Germany), 0.1 M phosphate buffer (pH=7.4), 0.38 M mannitol, 0.08 M sucrose, 5 mM MgCl2, and 0.4 g l-1 polyvinylpyrrolidone. The flasks were placed in a shaking water bath (SWB-20, Haake, Germany) at 26 °C and 90 strokes min-1 for 12 h. The suspension was filtered on a nylon filter (250 µm) and centrifuged (Unicen 15 DR, Herolab, The Netherlands) for 5 min at 500 g. The pellet was resuspended in 40 ml of reaction medium, containing the same components as the maceration medium except the enzymes, and centrifuged for 5 min at 500 g. Finally, the pellet was resuspended again in 40 ml reaction medium. This procedure was repeated four times to obtain 160 ml of cell protoplast suspension, which was then conditioned in a large stirred bioreactor (250 ml) through which a gas mixture was bubbled with the same composition as applied later on during the measurements. The temperature was controlled with a waterjacket. Samples of 4 ml were taken from this reactor for O2 consumption measurements. Before each measurement, a sample was also taken to determine the protoplast viability, because time and shear effects of the magnetic mixing bar could have an effect on the viability (Zhong et al., 1994
; Takeda et al., 1994
). The protoplast viability (c. 90%) was estimated by microscopic counting (BX40, Olympus Optical CO. Ltd., Tokyo, Japan) after selective staining with Evan's blue (0.5% w/v) (Shipway and Bramlage, 1973
; Pushmann and Romani, 1983
). Ten frozen sections of 120 µm, taken at three perpendicular directions in the pear tissue, were evaluated microscopically to calculate the volumetric cell density. The method of Baumann and Henze was used to measure the volume and the density of pear tissue (Baumann and Henze, 1983
). These quantities were used to determine the number of protoplasts per unit weight.
Protoplast respiration measurements
The protoplast O2 uptake rate was determined polarographically using a Clark type polarographic O2-electrode, which was built according to Inoue (Inoue, 1989
). The electrode was placed at the bottom of a small bioreactor with a maximal volume of 5 ml. After the addition of the reaction medium and the protoplasts, the headspace in the bioreactor was reduced with a screw top. A FieldPoint I/O module (National Instruments, Zaventem, Belgium) was used to establish communication between reactor and computer. The user interface was programmed in LabVIEW 5.0 (National Instruments, Zaventem, Belgium). Corrections were made for temperature, pressure and salt concentration on O2 solubility. All assays were performed on 4 ml protoplast suspension in the small bioreactor.
Two different O2 concentration versus time profiles were recorded to measure the protoplast O2 uptake rate, namely re-aeration curves and O2 depletion curves. For the re-aeration curve (Fig. 2a
), the pear protoplasts started to consume O2 until a certain O2 level had been reached. Injection of O2 or N2 made it possible, respectively, to increase or decrease the O2 concentration in the bioreactor and, hence, to measure the O2 uptake rate at different O2 concentrations or to measure the O2 uptake rate repeatedly at the same O2 concentration. Linear regression was used to calculate the slopes of the re-aeration curves and this value was assigned to the average O2 concentration of the corresponding time interval (Fig. 2b
). In the case of an O2 depletion curve (Fig. 3a
), the O2 concentration in the reactor was recorded in time from 7 mg l-1 to complete O2 depletion of the reaction medium, without any intervention by the operator.
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Using re-aeration curves, protoplast respiration experiments in the presence of 1 mM KCN and/or 20 mM salicylhydroxamic acid (SHAM) (Lancaster, UK) were performed, to eliminate selectively the cytochrome and the cyanide-resistant respiration, respectively. The experiments were performed at 8 mg l-1 dissolved O2 in the bioreactor, in the absence of CO2 and at 23 °C. According to Lambers, the total O2 uptake, vtot (mg l-1 s-1 10-6 cells), can be written as the sum of the respiration rate of the cytochrome pathway, vcyt (mg l-1 s-1 10-6 cells), the alternative respiration rate, valt (mg l-1 s-1 10-6 cells) and the residual O2 consumption, vres (mg l-1 s-1 10-6 cells) (Lambers, 1985
, the fraction of Valt used by the cell (Equation 1).
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| (1) |
was calculated according to Laties (Laties, 1982
Carbon dioxide concentrations
To determine the effects of CO2 on the protoplast respiration, aqueous solutions of sodium bicarbonate were prepared in molar concentrations calculated by the HendersonHasselbalch equation to produce a pH=7.4 at 23 °C, 15 °C and 7 °C in equilibrium with 0, 15 and 30% CO2 (Umbreit et al., 1964
). A gas mixture with the corresponding CO2 concentration was bubbled through the solution until a constant pH of 7.4 was obtained. These solutions were used to prepare the reaction media. Changes in pH due to loss of CO2 from the medium during preparation and assay were minimal (less than 0.05 pH unit) (Shipway and Bramlage, 1973
). Protoplast respiration measurements were performed at three temperatures: 7, 15 and 23 °C and at three CO2-levels: 0, 15 and 30% CO2. A full factorial design was applied with at least four repetitions for each temperature-CO2 combination.
Model structure
MichaelisMenten kinetics are widely used to describe the relationship between the O2 concentration and the O2 consumption rate: the whole respiration pathway is assumed to be determined by one rate-limiting enzymatic reaction (Chevillotte, 1973
). Three types of CO2 inhibition on O2 uptake rate are distinguished: competitive, uncompetitive and non-competitive inhibition (Chang, 1981
). In this paper the non-competitive type of inhibition was chosen: the inhibitor (CO2) reacts both with the enzyme and the enzymesubstrate complex. The non-competitive inhibition model for protoplast O2 uptake is described by Equation 2. The maximal O2 uptake rate was made temperature-dependent by Arrhenius law (Equation 3).
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Parameter estimation
The respiration parameters of intact pears were estimated with the non-linear regression algorithm of SAS/STAT, version 6.12 (SAS Institute Inc., Cary NC. USA). The protoplast respiration model parameters were estimated by fitting experimental data on O2 concentration profiles using non-linear regression. The numerical integration was performed using a variable order, variable step Adams method, NAG (Mark XIV), integration routine DO2CBF (NAG, 1986
). The parameters were estimated, first by the described algorithm, with the cell counts fixed. Afterwards the cell counts were adjusted manually to improve the fit. The measurement error on the cell counts equalled 3.2x105 (±5% of total) cells and, hence, it was reasonable to adjust the cell counts within this range. For all curves an even smaller range was sufficient to obtain a good fit. Finally the model parameters were estimated, again based on the adjusted cell counts.
| Results and discussion |
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Intact pear respiration
Table 1
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The maximum O2 consumption rate at the reference temperature, Vm,O2,ref is comparable to that of other produce mentioned in literature. Hertog et al. found values of 106, 112 and 122 nmol kg-1 s-1 for, respectively, apple, chicory and tomato at the same reference temperature of 10 °C (Hertog et al., 1998
Temperature is the most important factor to slow down the fruit metabolism (Wills et al., 1998
). The influence of temperature on the O2 uptake is given by the activation energy Ea,vm,O2. The estimated value equals 64.6 kJ mol-1 and is the same order of magnitude as the values 52.9, 67.1 and 67.3 kJ mol-1 found previously (Hertog et al., 1998
) for, respectively apple, chicory and tomato. Andrich et al. estimated an activation energy of 44.2 kJ mol-1 for Golden Delicious apples (Andrich et al., 1998
). Again a high similarity was observed between the activation energies measured on the authors data of 1998 and 1999. No other data on activation energies for pears were found in the literature.
An inhibitory effect of CO2 on O2 consumption was found for pears (Fig. 1
). Increased CO2 partial pressures slowed down the respiration. Respiration measurements (de Wild et al., 1999
) confirm the results obtained here for Conference pears. No inhibitory effect of CO2 on respiration was found earlier (Peppelenbos and van't Leven, 1996
) for Golden Delicious and Elstar apples. However, Yearsley et al. reported a significant decrease in O2 uptake at higher CO2 partial pressures for Braeburn apples (Yearsley et al., 1997
). This difference in CO2 sensitivity between on the one hand Conference pears and Braeburn apples and on the other hand Golden Delicious and Elstar apples could explain the higher sensitivity of the former to develop core breakdown, a CO2-related disorder, during storage (Veltman et al., 1999
; Lammertyn et al., 2000
).
Protoplast respiration
Figure 2a
shows a re-aeration curve measured at 23 °C and 0% CO2. The protoplast suspension was put in the reactor at time zero and, due to respiration, the O2 concentration decreased during the first 3 min. At that time the screw top of the reactor was removed and the reaction medium was flushed with a gas mixture composed of 20% O2, 0% CO2 and 80% N2 at 23 °C, for 510 s, resulting in an increasing O2 concentration. After a period of 12 min, during which the equilibrium between the injected gas and the liquid phase was restored, the respiration continued at the initial rate. This was repeated twice. Around 900 s pure N2 was injected to decrease the O2 level in the medium. In this way the O2 uptake rate at lower O2 concentrations could be monitored. Three re-aeration steps were used at this low O2 concentration. The slopes of these curves were calculated by linear regression and assigned to the average O2 concentration during that time interval. The O2 uptakes rates, measured at 23 °C and at 0, 5 and 15% CO2, corrected for the number of viable protoplasts, are plotted in Fig. 2b
as function of the O2 concentration. No clear difference in O2 uptake rate could be observed between high and low O2 concentrations, but the influence of the CO2 concentration was significant: a high CO2 markedly reduced the O2 uptake rate. Similar results were obtained when the experiments were repeated for 7 °C and 15 °C (data not shown). A serious drawback of this method is the lack of information on O2 uptake rates at very low O2 concentrations. It is technically impossible to repeat the re-aeration steps for O2 concentrations lower than 0.5 mg l-1. This implies that the MichaelisMenten constant for CO2 inhibition of O2 consumption could not be identified accurately. However, this method will be used later on to validate the results obtained with the O2 depletion curve.
The O2 depletion curve offered an alternative to study the respiration characteristics of pear protoplasts in suspension as a function of the temperature and the gas atmosphere. Figure 3a
shows a typical O2 depletion curve. The protoplasts were put in the bioreactor at time zero and the O2 concentration was monitored until all O2 had been consumed. During these measurements it was assumed that the CO2 produced by the protoplasts did not inhibit its own respiration rate, which is a reasonable assumption as will be demonstrated later on.
The O2 concentration versus time profile was processed in two different ways. The first was based on numerical differentiation of the O2 concentration versus time curve. Since numerical differentiation required prior smoothing of these curves, it obscured the fast dynamics at low O2 concentrations and the Km values would, therefore, be overestimated. At higher O2 concentrations this problem did not occur. Figure 3b
, c
and d
show the O2 uptake rate as a function of the O2 concentration for different interval sizes used for differentiation. An increasing interval size reduced the noise on the signal, and resulted in more accurate parameter estimates, but increased the Km value. Therefore, the estimated Km depended on the processing technique. To avoid these problems it was chosen to fit the data immediately on the originally measured O2 concentration curves by means of differential Equation 2 rather than taking the derivative and identifying the parameters on the modified MichaelisMenten plot. Estimates of the respiration parameters and their 95% confidence intervals are listed in Table 2
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The model fit and the experimental data for four repetitions at 23 °C and 0% CO2 are given in Fig. 4
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The influence of the O2 concentration on the O2 uptake rate is described by the parameter Km, the O2 concentration at which half of the maximal O2 uptake rate is reached. The estimate for Km was 3 µM. As indicated above this value should be interpreted carefully, since it describes an average O2 affinity for both the cytochrome and alternative oxidase. Taiz and Zeiger found a Km value of 1 µM for the cytochrome c oxidase in plant tissue (Taiz and Zeiger, 1993
The Vmax parameter in the MichaelisMenten model is equal to the sum of the maximal respiration rate of both terminal oxidases. Respiration experiments on protoplasts in the presence of KCN and/or SHAM were performed selectively to eliminate, respectively, the cytochrome and the cyanide-resistant respiration. After subtraction of the residual respiration, the cytochrome and alternative respiration accounted for respectively, 88% and 12% of the Vmax. A value of 54% was calculated for
, indicating that under the measurement circumstances, 54% of the maximal capacity of the alternative oxidase was used. These results should be interpreted carefully, since stress is a very important factor influencing the distribution between the two respiration pathways. Moreover, this distribution also fluctuates during postharvest storage as indicated previously (Duque and Arrabaça, 1999
).
Model validation
As mentioned earlier, the re-aeration curve was not suited to identify accurately the MichaelisMenten constant for O2 consumption. However, this method serves well as an independent technique to validate the model based on O2 depletion curve measurements. Figure 5
shows the O2 uptake rates measured with the re-aeration curve at 23 °C for 0, 15 and 30% CO2. Each validation point represents the average O2 uptake rate based on three replicate measurements. A reasonable correspondence exists between the measurements done with both techniques.
For the O2 depletion curve, CO2 accumulating during the measurement could influence (inhibit) the O2 uptake rate. However, the validation results obtained with the re-aeration curve indicate this is unlikely to have occurred. In the case of a re-aeration curve, after each short respiration period, the gas concentration in the medium is set to the initial one by stripping the medium with the gas mixture of interest, and, hence, no long term CO2 accumulation or inhibition could occur.
Comparison of intact pear and protoplast respiration
The MichaelisMenten constant for the intact pear respiration (2.5 mmol l-1 air or according to Henry's Law 0.082 mmol l-1 H2O) is clearly higher than for protoplast respiration. O2 uptake measurements on small pear discs (6 mm diameter and 1 mm thick) by means of re-aeration curves resulted in a Km value of 1.97 mmol l-1 air or 0.062 mmol l-1 H2O (Lammertyn et al., 2001
). This illustrates that the Km value measured on intact pears not only contains information about respiration but also about macroscopic gas diffusion through pear tissue. By using well-stirred protoplast suspensions, it is assumed that all but the intracellular diffusion properties are eliminated. Assuming that the Km values for cytochrome c oxidase and the alternative oxidase in pear mitochondria are similar to those found earlier, in soybean mitochondria (Millar et al., 1994
), the ratio of Km for intact pears to that for cytochrome oxidase in mitochondria (=82/0.14) is used as a measure to quantify the total diffusion effect absorbed in the intact pear Km value. Since for protoplasts a Km value of 3 µM was found, the macroscopic (=tissue) diffusion effect was equal to 96.4% of the total diffusion effect and the intracellular diffusion accounted for only 3.6% of the total diffusion effect. This illustrates that the use of protoplast suspensions, instead of intact pears, eliminates nearly all the diffusion effect absorbed in the Km for intact pears and that the intracellular diffusion is of minor importance from a modelling point of view. In further research, these parameters will be used to construct a respirationdiffusion model for intact pears, which can be used to simulate the O2 and CO2 concentrations inside the pear during storage under controlled atmosphere conditions.
A comparison of the effect of different CO2 levels on the O2 uptake rate of intact fruit and protoplasts in suspension is shown in Fig. 6
. The percentage of the uninhibited respiration is given as function of the CO2 partial pressure. Some small differences in magnitude aside, the trend and the direction of the respiration response to CO2 by intact fruit and protoplast suspensions were essentially the same. This similarity suggests that the latter are useful for the study of other aspects of the respiration metabolism. Kerbel et al. came to a similar conclusion studying the effect of suspension cultured Passe Crassane pear fruit cells to elevated CO2 concentrations (Kerbel et al., 1990
).
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The activation energy of the maximum respiration rate for intact pears (64.6 kJ mol-1) is lower than the one for protoplasts in suspension (91.7 J mol-1). This might be diffusion related as the activation energy of physical processes is, in general, lower than that for biochemical reactions (Toledo, 1991
Although the respiration rates for both systems are expressed in different units, they can be converted based on the number of cells per unit weight (kg fresh pear). An average number of 729x106 cells dm-3 was counted and a density of 0.970 kg dm-3 was used to estimate the number of cells kg-1 fresh weight. This resulted in a value of 751x106 cells kg-1, which when multiplied by the maximal cellular respiration rate of 0.658 10-3 mg l-1 s-1 10-6 cells at 10 °C and 0% CO2, resulted in a value of 61.8 nmol kg-1 s-1. This is reasonably close to the maximal respiration rate of 87.1 nmol kg-1 s-1, measured at 10 °C and 0% CO2 for intact pears. The difference could be attributed to errors on cell counts, natural variability, gas diffusion through tissue of intact pears, and other factors.
| Conclusion |
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The respiration of intact pears and pear protoplasts in suspensions was compared with regard to the temperature and CO2 effect on the O2 uptake rate. Of the two measurement techniques to measure the protoplast O2 uptake, the O2 depletion curve identified the protoplast respiration parameters accurately, whereas the re-aeration curve was not suited for this purpose. However, the re-aeration curve was a valuable tool to validate the respiration models. A modified MichaelisMenten model was used to describe the effects of the O2 and CO2 concentrations and temperature on the O2 consumption rate of intact pears and pear cell protoplasts in suspension. For both systems a non-competitive type of CO2 inhibition was assumed in which the inhibitor interacts both with the enzyme and the enzymesubstrate complex. The models presented described the experimental data well. Due to inclusion of diffusion properties, the MichaelisMenten constant for intact pears was significantly larger (2.5 mM) than the one for protoplasts in suspension (3 µM), which was in turn an order of magnitude higher than the values reported in the literature for the apparent Km values for cytochrome oxidase and the alternative oxidase measured on isolated mitochondria or on the purified enzymes. It was found that only a very small part of the total diffusion effect absorbed in the MichaelisMenten constant for intact pears, could be attributed to intracellular gas diffusion. The major part was due to macroscopic diffusion through the fruit tissue. The maximal respiration rates of both systems were similar and the influence of CO2 on the respiration rate was almost identical for protoplasts and intact pears, suggesting that protoplast suspensions may be useful for the study of other aspects of respiratory metabolism. In future work, the estimated respiration parameters will be used in a reactiondiffusion model, to describe changes in internal gas concentrations in pears during storage, and to study the mechanism of the development of core breakdown.
| Acknowledgments |
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The Belgian Ministry of Small Enterprises, Traders and Agriculture and the Flemish Government are gratefully acknowledged for financial support (project S-5901). This research was also financially supported by EC-FAIR1-CT96-1803. Jeroen Lammertyn is Research Assistant of the Fund for Scientific Research-Flanders (Belgium) (F.W.O-Vlaanderen).
| Notes |
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1 To whom correspondence should be addressed. Fax: +32 16 32 29 55. E-mail: jeroen.lammertyn{at}agr.kuleuven.ac.be
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), 5% CO2 (
) and 15% CO2 (
). Data obtained from re-aeration curves.
is the percentage variance accounted for (a measure of the goodness of fit of the model). The models with and without inhibition are based on data of 1999 and 1998, respectively.
) CO2. The vertical bars indicate the 95% confidence limits.



