- © 2005 American Society of Plant Biologists
Abstract
It is widely accepted that the oxygen produced by photosystem II of cyanobacteria, algae, and plants is derived from water. Earlier proposals that bicarbonate may serve as substrate or catalytic intermediate are almost forgotten, though not rigorously disproved. These latter proposals imply that CO2 is an intermediate product of oxygen production in addition to O2. In this work, we investigated this possible role of exchangeable HCO3− in oxygen evolution in two independent ways. (1) We studied a possible product inhibition of the electron transfer into the catalytic Mn4Ca complex during the oxygen-evolving reaction by greatly increasing the pressure of CO2. This was monitored by absorption transients in the near UV. We found that a 3,000-fold increase of the CO2 pressure over ambient conditions did not affect the UV transient, whereas the S3 → S4 → S0 transition was half-inhibited by raising the O2 pressure only 10-fold over ambient, as previously established. (2) The flash-induced O2 and CO2 production by photosystem II was followed simultaneously with membrane inlet mass spectrometry under approximately 15% H218O enrichment. Light flashes that revealed the known oscillatory O2 release failed to produce any oscillatory CO2 signal. Both types of results exclude that exchangeable bicarbonate is the substrate for (and CO2 an intermediate product of) oxygen evolution by photosynthesis. The possibility that a tightly bound carbonate or bicarbonate is a cofactor of photosynthetic water oxidation has remained.
Photosynthetic oxygen production takes place in PSII. The structural arrangement of PSII and of the catalytic Mn4Ca complex are emerging on the basis of x-ray crystallography and spectroscopy (Zouni et al., 2001; Robblee et al., 2002; Kamiya and Shen, 2003; Biesiadka et al., 2004; Cinco et al., 2004; Ferreira et al., 2004; Messinger, 2004). The Mn4Ca complex forms together with its ligands the so-called oxygen-evolving complex (OEC), which is a functional unit within PSII. Closely associated with the OEC is one redox-active Tyr, which is known as YZ and acts as intermediate electron carrier between the primary donor P680 and the Mn4Ca complex. Upon excitation of PSII with a series of short laser flashes, the catalytic center (OEC plus YZ) can be cycled through a series of redox states. They are coined Sn, where n indicates the number of stored oxidizing equivalents (n = 0–4). Only after reaching S4, dioxygen is released and the S0 state is restored (Kok et al., 1970). All studies on the cycling of the catalytic center through its oxidation states (Sn) take advantage of the fact that one state, namely S1, is the most stable one after long periods of dark adaptation.
Bicarbonate has been clearly shown to bind at the non-heme iron of the acceptor side of PSII (Ferreira et al., 2004) and to be of functional relevance for electron transfer at this position (for a recent review, see van Rensen, 2002). In addition, there is evidence that bicarbonate also affects oxygen evolution directly. PSII of green algae, for example, is inhibited if bicarbonate is removed from the reaction mixture and substituted for by formate (Mende and Wiessner, 1985). Bicarbonate is also reported (1) to stabilize the OEC (for review, see Klimov and Baranov, 2001), (2) to promote the photoassembly of the Mn4Ca complex (for review, see Ananyev et al., 2001), and (3) to interfere with the damping of the oscillatory pattern of oxygen evolution (Stemler et al., 1974). Finally, in the currently most complete structural model of PSII at 3.5 Å resolution (Ferreira et al., 2004), (bi)carbonate is presented as a ligand of the Mn4Ca complex.
It seems generally accepted, however, that water serves as the electron donor for the production of reduced organic compounds by cyanobacteria and plants, and that dioxygen, the side product which is pivotal for aerobic life, is derived from water. Alternative concepts like Otto Warburg's (Warburg and Krippahl, 1958; Warburg et al., 1965), who proposed that “activated CO2” is converted to an aldehyde during oxygen evolution (for a historical survey, see Stemler, 2002), have been discarded mainly because of mass-spectrometric results that show that in PSII preparations the isotopic composition of liberated dioxygen agrees well with the one of the surrounding water even after relatively short mixing times with H218O (Radmer and Ollinger, 1980; Bader et al., 1987; Messinger et al., 1995; Hillier et al., 1998; Hillier and Wydrzynski, 2000). Strictly speaking, however, these data are still compatible with a catalytic role of bicarbonate if the equilibrium between water, CO2, and bicarbonate is rapidly installed, as mediated, for example, by a carbonic anhydrase (CA; Silverman and Tu, 1975; Tu and Silverman, 1975). An intrinsic CA activity is indeed linked to the core and/or extrinsic proteins of PSII (Dai et al., 2001; Stemler, 2002; Villarejo et al., 2002; Khristin et al., 2004). The above-cited mass-spectrometric experiments were not designed to specifically address the bicarbonate question, and therefore the CA activity was not assessed in detail. This leaves room for speculations about a possible catalytic role of bicarbonate during oxygen evolution.
Such a catalytic role for bicarbonate was first proposed by Helmut Metzner on thermodynamic grounds (Metzner, 1978). The main idea was that a one-electron oxidation of bicarbonate (HCO3−) is energetically possible for P680+, while a one-electron abstraction from water requires far too high oxidizing potentials. Therefore, he assumed that water is delivered to the OEC in a CO2-bound form, i.e. as bicarbonate. This scheme requires that, in addition to O2, CO2 is a product. The formed CO2 is proposed to be rapidly rehydrated to bicarbonate and therefore to act catalytically. Using today's knowledge about photosynthetic water oxidation, Metzner's idea can be reformulated in a way that appears consistent with presently published data:(1)
(2)
(3)wherein hν stands for photon-driven processes. In this sequence reaction, (1) describes a series of four light-driven partial reactions involving two bicarbonate molecules (substrate) that are exchangeably bound to the OEC in the S0 through S3 states of the OEC. During the S4 → S0 transition, O2 and 2 CO2 are formed and initially bound to the Mn4Ca complex. In the next step they need to be released into the medium to allow another reaction cycle to occur (heterogeneous catalysis).
On the basis of this hypothetical reaction mechanism, two clear predictions can be made. (1) It can be expected that a high partial pressure of either O2 or CO2 suppresses oxygen production (this prediction is explained in more detail in the “Discussion”). (2) Because the reaction equilibrium of reaction 2 (K = [CO2]/[H2CO3] = 600; Cotton and Wilkinson 1974) lies to 99.8% on the side of CO2, a considerable amount of newly formed CO2 should, at least transiently, escape together with O2 into solution and become detectable in time-resolved experiments. In contrast, in the generally accepted view of photosynthetic oxygen evolution, with water as sole substrate, no CO2 evolution and therefore also no inhibition by a high partial pressure of CO2 are expected.
Given the described remaining chance for a catalytic role of bicarbonate as immediate substrate for photosynthetic oxygen production, we decided to test the modified Metzner model by two complementary approaches.
The stepped progression of the OEC was monitored by UV spectrophotometry under high backpressure of CO2. In contrast to results from a previous study, where the oxygen-evolving S4-to-S0 transition was half-suppressed by only 10-fold elevated oxygen pressure (Clausen and Junge, 2004), the 3,000-fold increase of the CO2 pressure did not affect the normal turnover of the OEC.
Measurements by membrane inlet mass spectrometry (MIMS), under H218O enrichment, and at low bicarbonate/CO2 concentration revealed the normal oscillation of O2 release, but they gave no evidence, under parallel detection, for any CO2 release in response to a series of light flashes.
Both results practically exclude that CO2 is liberated during oxygen evolution and thereby also show that bicarbonate is not an immediate/catalytic substrate as postulated by Metzner. Bicarbonate may, however, be a firmly bound cofactor.
RESULTS
Flash-Spectrometric Experiments
Figure 1 shows UV-absorption transients (wavelength 360 nm) of dark-adapted PSII-core particles from Synechocystis in response to series of short laser flashes given to dark-adapted samples. These transients are composites: They reflect redox reactions of the OEC and of the intrinsic and exogenous electron acceptors (see Lavergne, 1991; Dekker, 1992; Bögershausen and Junge, 1995; Karge et al., 1997; Clausen et al., 2001). With the catalytic center synchronized mainly in its first oxidation state, S1, before starting the series of flashes, oxygen evolution occurs only after excitation with three flashes of light in a row, i.e. after reaching S4. From there on it oscillates with period of four as a function of the flash number. Figure 1A shows an overlay of two UV transients. The trace shown in black represents the typical oscillation under atmospheric oxygen pressure (1 bar air, i.e. 0.21 bar O2, pH 6.7, 20°C). On the first two flashes (S1 ⇒ S2, S2 ⇒ S3) the very rapid (here not resolved) rise of absorption is followed by a slower relaxation of smaller extent, so that each flash gives rise to a positive step. These steps represent oxidations of the OEC (Lavergne, 1991; Dekker, 1992; Bögershausen and Junge, 1995; Karge et al., 1997; Clausen et al., 2001). After the third flash (inducing the transition S3 ⇒ S4 → X → S0), these two positive steps are reverted by a negative transient with a typical half-decay time of 1.3 ms. It reflects the reduction of the Mn4Ca complex that occurs concomitant with the liberation of dioxygen (see Clausen and Junge, 2004; Clausen et al., 2004) and sets the OEC back into the S0 state. On the fourth flash (S0 ⇒ S1) there is no positive step at 360 nm (Lavergne, 1991), and on the fifth flash a new cycle starts (S1 ⇒ S2) with another positive jump. If the concentration of the product, oxygen, is increased to 20 bar (Fig. 1A, gray trace), then the magnitude of the negative jump decreases because the backpressure of O2 stabilizes a so far ill-defined intermediate X of the transition S3 ⇒ S4 → X → S0 (for details, see Clausen and Junge, 2004).
UV absorption transients (360 nm) of dark-adapted PSII-core complexes (normalized to 9 μm Chl, pH 6.6 to 6.7) obtained by the excitation with five short laser flashes (arrows). A, The black trace was obtained after preincubation with 1 bar air [i.e. 0.21 bar p(O2)], while the gray trace shows the data that were obtained after preincubation with 20 bar pure O2. The transients were recorded with 50 μs/point and three experiments were averaged. B, The black trace represents again the air control (four transients averaged), while the gray trace gives the data obtained under 1.1 bar carbon dioxide (two transients averaged). These transients were recorded with a time constant of 100 μs/point.
This type of experiment was repeated under high pressure of CO2. The ambient carbon-dioxide pressure is about 4 × 10−4 bar (0.04%). Figure 1B compares a typical UV-absorption transient obtained at ambient CO2 pressure (trace shown in black) with that measured at 3,000-fold increased CO2 pressure (gray trace, 1.1 bar purified CO2). Both traces are virtually identical, indicating that greatly elevated CO2 pressure does not inhibit photosynthetic oxygen production.
The lack of any effect of high CO2 pressure on oxygen production was corroborated by standard polarographic measurements of the rate of oxygen evolution under continuous illumination. The presence of 50 mm NaHCO3 and 10 mm Na2CO3 in the reaction mixture yielded the same rate as observed in control samples without added NaHCO3 and Na2CO3. There was neither a stimulatory nor an inhibitory effect of the greatly elevated CO2 concentration (42.5 mm; Henry constant 38.66 mm bar−1 at 20°C) on PSII turnover under steady illumination. This shows that the bicarbonate binding site of the OEC, if present, is already saturated by bicarbonate concentrations formed by ambient amounts of dissolved CO2.
MIMS
Figure 2A shows mass-spectrometric signals resulting from the excitation of dark-adapted spinach (Spinacia oleracea) thylakoids with a series of 12 Xenon (Xe) flashes. They were recorded by MIMS using an isotope-ratio mass spectrometer that was set up to simultaneously measure O2 and CO2 at m/z = 32, 34, and 36, and 44, 46, and 48, respectively. For all three mass peaks of each gas, similar results were obtained. For clarity, Figure 2A shows only signals of the singly labeled species (mass 34 and 46, respectively). Before the measurements, the PSII samples (20 μm chlorophyll [Chl]/mL at pH 6.8) were mixed with approximately 15% H218O (final concentration) and then degassed in the sample chamber under rapid stirring to about 1.4 μm CO2 (approximately 7% of the initial air-saturated value of 21 μm at 10°C) in order to achieve nearly constant baselines. A preflash and subsequent dark adaptation are used to convert all PSII centers of a given sample into the S1YDox state. This procedure strongly reduces the S state decay between the required long dark times of 20 s between the flashes because it preoxidizes the endogenous electron donor YD that normally causes the fast phase of S2 and S3 state decay. The preflashed thylakoids are then illuminated with a train of 12 Xe flashes (approximately 3 μs full width at half maximum [FWHM]). The data in Figure 2A show that O2 is evolved by a significant number of PSII complexes with high efficiency even at this low dissolved CO2/HCO3− concentration. This is evident from (1) the clear period four oscillation of the O2 signals, which can be well described with miss and double hit parameters of 14.3% and 3.8%, respectively, and 100% S1 state dark population, and (2) that from the sum of the absolute amplitudes of the first 12 flashes a number of approximately 700 Chl per active PSII reaction center can be calculated. In contrast, the simultaneously recorded CO2 trace does not show any flash-induced signals. In this regard it is important to note that the sensitivities of the two Fay cups are identical, and that the permeability of the silicone membrane for CO2 is about 6 times greater than for O2.
A, Flash-induced 18O16O (mass 34; solid line) and 12C18O16O (mass 46; dashed line) evolution of spinach thylakoid samples. A series of 12 saturating Xe flashes with intermittent dark times of 20 s was given at 10°C and pH 6.8. The H218O enrichment was 15% and the Chl concentration 0.02 mg Chl/mL. The signal induced by the third of the flash corresponds to 4.8 pmol O2. For better comparison, a monoexponentially decaying baseline was subtracted from the CO2 signal, which had a significantly higher starting value. B, Change in 12C18O2 concentration as a function of time after the injection of 28 μL of H218O (95% initial; 15% final enrichment). The concentration of spinach thylakoids was 0.20 mg Chl/mL (a), 0.02 mg Chl/mL (b), and 0.00 mg Chl/mL (c). Other conditions are as in Figure 2A.
Figure 2B displays the decay of the normalized 12C18O18O concentration ([48]/([44] + [46] + [48])) as a function of time after injection and rapid mixing (<10 ms) of 28 μL of H218O into 150 μL of unlabeled, degassed buffer containing different concentrations of spinach thylakoids. The initial rise (data not shown) is due to the ambient 18O-labeled CO2 content of the H218O-enriched water. Its decay reflects the rather complex isotopic equilibration process between all water and all CO2, H2CO3, HCO3−, and CO22− molecules in the sample (for details, see e.g. Mills and Urey, 1940). Due to the above-mentioned normalization, the rates are unaffected by the simultaneous consumption of CO2 by the mass spectrometer. In the absence of thylakoids (Fig. 2B, trace c), the isotopic equilibration is caused by chemical hydration/dehydration reactions of CO2/H2CO3 and the interconversion with HCO3−. The observed significant increase in the rate of isotopic equilibration in the presence of thylakoids (Fig. 2B, traces b and a) confirms the previously reported CA activity of thylakoids. First-order rate constants describing the time course of this isotopic equilibration process are given in Table I.
Rates of monoexponential decay of the 12C18O2 signal after injection of H218O into degassed H216O buffer containing different concentrations of spinach thylakoids at 10°C and pH 6.8
DISCUSSION
The starting point of this study was the possibility of a (so far hidden) role for bicarbonate/CO2 as substrate/product of photosynthetic oxygen evolution. The nature of a substrate is that it diffuses from the medium to the catalytic site to which it is bound in an exchangeable fashion, i.e. with a certain dissociation constant KD. Similarly, the formed products are finally released into the surrounding medium in order to allow new substrate to bind. In order to facilitate this process, the products usually have a much smaller affinity to the catalytic site than the substrates. Nevertheless, product inhibition is a well-known phenomenon in catalytic reactions.
Another possible function of bicarbonate is that of a cofactor of photosynthetic water oxidation. In contrast to substrates, cofactors may be relatively tightly associated with the enzyme. Such a possible cofactor role of bicarbonate in photosynthetic water oxidation, which may, for example, involve (1) a function in the proton relay network, (2) a structural role, and/or even (3) provide a binding site for one substrate water molecule, cannot be analyzed by our current approaches.
In the first series of experiments, the reduction of the Mn4Ca complex during the oxygen-evolving reaction step was followed by monitoring absorption transients in the near UV. For the case that bicarbonate is the immediate substrate of the OEC, it is expected that greatly increased partial pressure of CO2 should suppress this step. This product inhibition was previously observed for O2 using moderately increased partial pressures. Nevertheless, for bicarbonate this expectation may not be immediately obvious on the basis of the simple reaction scheme presented in Equations 1 to 3 because increased CO2 pressure also causes proportionally increased concentrations of HCO3− via the reactions shown in Equation 2, which in principle can counterbalance the effect on the product side (Eq. 1). However, because we are concerned with a light-driven heterogeneous catalysis, this cancellation of effects cannot happen. In order to illustrate this important point, we shall concentrate only on the final steps of the postulated reaction sequence that are summarized in more detail in Equation 4:(4)Herein, BCA stands for bicarbonate, S3 and S4 for the catalytic center (OEC plus YZ) in its third and fourth oxidation states, X for an ill-characterized intermediate, and hν for the (usually third) photon that initiates oxygen liberation. Protons are omitted for simplicity. The existence of intermediate X was established elsewhere (Clausen and Junge, 2004), but it can be omitted in the following argument. Equation 4 accounts for three important properties. (1) The right reaction starting from S4 is heterogeneous in that a solid component cleaves off two soluble components, O2 and CO2. Its equilibrium is therefore shifted to the left if the partial pressure of either product is increased. (2) The middle reaction (S3 to S4) is photochemical and does not proceed without the extra driving force provided by a quantum of light. Therefore, the equilibrium of the left reaction (binding of bicarbonate to the S3 state) does not directly bear on the equilibrium of the right because both parts are shielded from each other by the photochemical step. In this particular case, there is additionally good reason to suppose saturation of bicarbonate binding, because (1) the mass-spectrometric experiments show significant O2 evolution at greatly diminished bicarbonate concentrations and (2) because addition of bicarbonate to PSII suspensions did not increase the rate of oxygen evolution (see above). These arguments show that photosynthetic oxygen evolution should be very sensitive to increased pressure of CO2, if bicarbonate is the substrate. However, the data of Figure 1B show no inhibition of the S3 → S4 → S0 transition in cyanobacterial core complexes by very large (×3,000) CO2 overpressure. This result excludes all hypothetical reaction schemes involving exchangeable bicarbonate/CO2. This conclusion is further corroborated by our MIMS experiments, which give no evidence for any oscillating CO2 release down to a level of 2% below the one of the oscillating oxygen production.
A weak point of previous time-resolved mass-spectrometric experiments was that they did not determine the CA activity in the samples (see introduction). We show here that the CA activity of spinach thylakoids can be determined from the decay of the mass-spectroscopic signal at a normalized mass of 48 (12C18O18O; Fig. 2B). From the data of Table I it can be estimated that under the conditions employed in the previous water exchange experiments (thylakoid concentrations of e.g. 0.25 mg Chl/mL; Messinger et al., 1995) a comparatively long time (>30 s) is required for reaching the isotopic equilibrium between CO2/HCO3− and water. This is in contrast to the rapid isotopic equilibrium in water, which is reached by physical mixing in the microsecond time scale (Messinger et al., 1995; Hillier et al., 1998; Hillier and Wydrzynski, 2000; Hendry and Wydrzynski, 2002). The isotopic equilibration of water is essentially unaffected by the subsequent equilibration with the CO2 species because of the far smaller concentration of the latter species. Since at 10°C the 18O label quantitatively appears in flash-induced oxygen signals within about 3 s (kslow = 2.2 s−1; Messinger et al., 1995), the combination of these two data sets supports also strongly the view that water, and not bicarbonate, is directly oxidized by PSII. The function of the observed CA activity of PSII and of thylakoid membranes as a whole remains to be elucidated (see Table I and Fig. 2B; for review, see Stemler, 1998, 2002). It has been suggested that the lumenal CA of thylakoids may play a role in the formation of a proton gradient across the thylakoid membrane in the dark in order to support ATP synthesis (van Hunnik and Sultemeyer, 2002). CA may also be involved in regulating the pH of the lumen similar to its known function in blood.
CONCLUSION
The results presented in this article refute any direct role of exchangeable bicarbonate/CO2 as substrate/intermediate of photosynthetic oxygen evolution. Instead they corroborate the view that water is the direct source of electrons for the production of carbohydrates and, likewise, the source of the oxygen we breathe.
The same results do not rule out the involvement of firmly bound or sequestered bicarbonate in water oxidation. It remains conceivable that bound HCO3− may (1) be part of a deprotonation pathway, (2) alter redox properties of the Mn4Ca complex, (3) stabilize the metal-cluster as a ligand to manganese and/or calcium (Klimov et al., 1995), or (4) provide a binding site for substrate water.
MATERIALS AND METHODS
Flash-spectrometric experiments were carried out with oxygen-evolving PSII-core particles prepared from modified wild-type cells of Synechocystis sp. PCC6803 as described elsewhere (Clausen et al., 2001). Aliquots were suspended in standard medium: 1 m Suc, 25 mm CaCl2, 10 mm NaCl, 1 m Gly betaine, 50 mm MES (1 m MES for experiments under 1.1 bar CO2-pressure), pH 6.6 to 6.7. The temperature was 20°C ± 0.5°C.
The home-built optical cell with fused sapphire windows sustained pressures up to 30 bar (Clausen et al., 2001). The standard reaction medium was pre-equilibrated with purified oxygen or carbon-dioxide gas under the desired partial pressure for at least 40 min. It was then filled into the optical cell (optical pathlength = 1 cm) and re-equilibrated with the pressurized gas phase for another 10 min. A small aliquot (typically 50 μL) of dark-adapted PSII particles from the concentrated stock was then injected into the cell, which was filled with roughly 3 mL of liquid and 20 mL of gas to give final concentrations of 7 to 15 μm Chl and 0.06% (w/v) N-dodecyl-β-d-maltoside. The mixture was kept in darkness and equilibrated at the chosen pressure for another 20 min under gentle stirring. After addition of the electron acceptor (200 μm 2,5-dichloro-p-benzoquinone), the sample was excited under pressure with a group of five flashes from a Q-switched Nd-YAG laser (wavelength 532 nm, duration 6 ns FWHM, saturating energy, 100 ms between flashes) and the absorption transients were recorded at a wavelength of 360 nm. This wavelength was chosen to reveal charge transfer bands of the Mn4Ca complex with minimal contributions from Tyr (Dekker et al., 1984; Schatz and van Gorkom, 1985; Weiss and Renger, 1986; Gerken et al., 1989; Haumann et al., 1999). Data were recorded at an analog bandwidth of 10 kHz and digitized at 50 μs or 100 μs per bin. Control samples were prepared in the same manner, except that they were stirred for 20 min under 1 bar air (0.21 bar oxygen).
MIMS experiments were carried out with spinach (Spinacia oleracea) thylakoids, which were suspended in a buffer containing 5 mm CaCl2, 50 mm MES (pH 6.8/10°C), 5 mm MgCl2, 15 mm NaCl, and 400 mm Suc to give a final concentration of 0.02 mg Chl/mL. The experiments were carried out in a home-built cell similar to that described by Messinger et al. (1995), but with 150 μL sample volume and an improved mixing system. The gas inlet system was formed by a silicone membrane (MEM-213) that rests on a porous plastic support, which together separated the aqueous sample from the vacuum (3 × 10−8 bar) of the isotope ratio mass spectrometer (ThermoFinnigan DeltaplusXP), which was equipped with seven Fay cups for the simultaneous detection of masses 32, 34, 36, 40, 44, 46, and 48. No artificial electron acceptors were added. Dark-adapted samples were excited with a Xe flash lamp with approximately 3 μs FWHM. The individual flashes were separated by dark intervals of 20 s. The calibration of the CO2 and O2 signals was performed by injecting various volumes of air-saturated water samples (21 μm CO2 and 351 μm O2 at 10°C) into the sample chamber filled with degassed buffer.
Acknowledgments
We thank Hella Kenneweg (Osnabrück) and Birgit Nöring (Mülheim/Ruhr) for excellent technical assistance, Holger Heine (Osnabrück) for advise on the construction of the pressure cell, Prof. Rick Debus (Riverside) for the cooperation on Synechocystis, Drs. Ralf Ahlbrink and Armen Mulkidjanian (both Osnabrück) for fruitful discussions and help, and Govindjee (Urbana) and the referees for helpful comments on the manuscript.
Footnotes
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The authors responsible for distribution of materials integral to the findings presented in this article in accordance with the policy described in the Instructions for Authors (www.plantphysiol.org) are: Wolfgang Junge (junge{at}uos.de) and Johannes Messinger (messinger{at}mpi-muelheim.mpg.de).
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Article, publication date, and citation information can be found at www.plantphysiol.org/cgi/doi/10.1104/pp.105.068437.
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↵1 This work was supported by the Deutsche Forschungsgemeinschaft (grant nos. Ju97/15–3 and Me1623/2–3), the Fonds der Chemischen Industrie (W.J.), the Max-Planck Society (J.M.), and the Land Niedersachsen (W.J.).
- Received July 15, 2005.
- Revised September 2, 2005.
- Accepted September 2, 2005.
- Published October 21, 2005.