BioSystems 103 (2011) 224–229 Contents lists available at ScienceDirect BioSystems journal homepage: www.elsevier.com/locate/biosystems Optimization of CO2 fixation in photosynthetic cells via thermodynamic buffering Abir U. Igamberdiev a,∗ , Leszek A. Kleczkowski b a b Department of Biology, Memorial University of Newfoundland, Main Campus, St. John’s, NL A1B 3X9, Canada Department of Plant Physiology, Umeå Plant Science Centre, University of Umeå, 901 87 Umeå, Sweden a r t i c l e i n f o Article history: Received 14 June 2010 Accepted 1 October 2010 Keywords: Adenylate kinase Carbonic anhydrase Homeostatic flux control Photorespiration Thermodynamic buffering a b s t r a c t Stable operation of photosynthesis is based on the establishment of local equilibria of metabolites in the Calvin cycle. This concerns especially equilibration of stromal contents of adenylates and pyridine nucleotides and buffering of CO2 concentration to prevent its depletion at the sites of Rubisco. Thermodynamic buffering that controls the homeostatic flux in the Calvin cycle is achieved by equilibrium enzymes such as glyceraldehyde phosphate dehydrogenase, transaldolase and transketolase. Their role is to prevent depletion of ribulose-1,5-bisphosphate, even at high [CO2 ], and to maintain conditions where the only control is exerted by the CO2 supply. Buffering of adenylates is achieved mainly by chloroplastic adenylate kinase, whereas NADPH level is maintained by mechanisms involving alternative sinks for electrons both within the chloroplast (cyclic phosphorylation, chlororespiration, etc.) and shuttling of reductants outside chloroplast (malate valve). This results in optimization of carbon fixation in chloroplasts, illustrating the principle that the energy of light is used to support stable non-equilibrium which drives all living processes in plants. © 2010 Elsevier Ireland Ltd. All rights reserved. 1. Introduction Although living systems operate far from thermodynamic equilibrium, non-equilibrium fluxes that support their metabolism should be steady (Igamberdiev and Kleczkowski, 2009). The external energy is used primarily to support stable non-equilibrium state (Bauer, 1982), which becomes an internal source of work conducted by a biosystem. This can be reached, in particular, via a “fitting function” of special thermodynamic buffering enzymes that equilibrate fluxes of load and fluxes of consumption of major metabolic components, e.g., ATP and pyridine nucleotides (Igamberdiev and Kleczkowski, 2003). Thermodynamic buffering generates steady metabolic fluxes via local equilibrations and regulated uncoupling or “slippage” of the oxidation processes from ATP synthesis (Igamberdiev and Kleczkowski, 2009). Understanding mechanisms of such equilibration will help in developing a computational approach for calculating major parameters of metabolism. This may include metabolic flux analyses which provide tools to measure and model metabolism and its functions (Allen et al., 2009). These approaches consider a co-existence of both equilibrium and non-equilibrium reactions in complex metabolic networks (Galimov, 2004). Equilibration of metabolites by the equilibrium Abbreviations: AK, adenylate kinase; GAPDH, glyceraldehyde 3-phosphate dehydrogenase; PFK, phosphofructokinase; PGA, 3-phosphoglycerate; RuBP, ribulose bisphosphate; Rubisco, RuBP carboxylase/oxygenase. ∗ Corresponding author. Tel.: +1 709 864 4567; fax: +1 709 864 3018. E-mail address: [email protected] (A.U. Igamberdiev). 0303-2647/$ – see front matter © 2010 Elsevier Ireland Ltd. All rights reserved. doi:10.1016/j.biosystems.2010.10.001 (thermodynamic buffer) enzymes (Stucki, 1980) leads to a steady non-equilibrium flux through irreversible reactions and prevents depletion of substrates for non-equilibrium enzymatic reactions. This general idea of a homeostatic flux control (Fridlyand and Scheibe, 2000) provides a metabolic substantiation for the concept of homeorhesis (Waddington, 1968), i.e. of temporal steady trajectories in the development of biological systems. The key properties of biochemical networks should be robust in order to ensure their proper functioning (Barkai and Leibler, 1997) and to maintain stable non-equilibrium state (Bauer, 1982). Photosynthetic metabolism is an example of optimized homeostatic flux where carbon is efficiently fixed using the energy (ATP) and the reducing power (NADPH) formed in light reactions. For optimization of the flux, the following conditions should be satisfied: (1) the homeostatic flux control of metabolic pathways, including the Calvin cycle and photorespiration; (2) the buffering of adenylates both within their own pool and in relation to the pool of pyridine nucleotides, thus providing the maintenance of a stable ATP/NADPH ratio; (3) the buffering of reductants including pyridine nucleotides and ascorbate; (4) the buffering of the substrate of photosynthesis (CO2 ). In this paper, we discuss possible mechanisms providing the thermodynamic buffering and maintaining stable non-equilibrium during photosynthesis. 2. Homeostatic Flux Control in the Calvin Cycle Metabolic cycles are organized in a way that they maintain stable non-equilibrium flux by providing a steady turnover of substrates through the cycle (Igamberdiev, 1999; Qian et al., A.U. Igamberdiev, L.A. Kleczkowski / BioSystems 103 (2011) 224–229 2003). Every metabolic cycle contains both equilibrium and nonequilibrium reactions. For instance, in the citric acid cycle, the equilibrium reactions are catalyzed by malate dehydrogenase, fumarase, aconitase (MacDougall and ApRees, 1991; Hagedorn et al., 2004) and NADP-isocitrate dehydrogenase (Igamberdiev and Gardeström, 2003). As earlier suggested (Igamberdiev, 1999), the simplest metabolic substrate cycle includes one irreversible (non-equilibrium) and one reversible (equilibrium) reactions. Examples include the cycle composed of irreversible NAD- and reversible NADP-isocitrate dehydrogenase reactions (Igamberdiev and Gardeström, 2003), the glycolate oxidase/NAD(P)H-glyoxylate reductase cycle (Kleczkowski and Givan, 1988; Kleczkowski and Randall, 1988; Igamberdiev and Lea, 2002), and ATP- and PPidependent phosphofructokinase (PFK) cycle (Huang et al., 2008). Most metabolic cycles/pathways evolved via transformations of these simple substrate cycles (Igamberdiev, 1999). The commonly accepted idea that irreversible reactions in cycles limit their turnover has been shown to be generally incorrect (Fridlyand and Scheibe, 1999a, 2000; Fridlyand et al., 1999; Morandini, 2009). There are strong theoretical arguments against the idea that highly regulated enzymes catalyzing reactions far from equilibrium must be considered a priori rate limiting. Conversely, contrary to accepted wisdom, the reactions close to equilibrium frequently limit flux when the amount of the enzyme is reduced (Morandini, 2009). Changes in provision of a substrate to the cycle or pathway are controlled by thermodynamic buffering reactions that can reverse a product back to the substrate. Also, when levels of a metabolite provided by the equilibrium enzyme are insufficient for maximum flux, the cycle flux could still be increased by involving separate depots of stored intermediates. For the Krebs cycle, this is achieved by the involvement of large pools of malate, citrate and other stored acids (including fumarate, transaconitate, isocitrate in some species). For the Calvin cycle, the pool of triose phosphates (e.g. from the cytosol), and probably ribose5-phosphate and erythrose-4-phosphate, may play a similar role. Another example is photorespiration which eventually supplies 3phosphoglycerate (PGA) back to the Calvin cycle (Kleczkowski and Givan, 1988; Igamberdiev and Lea, 2002). Fridlyand and Scheibe (1999a, 2000) considered the importance of turnover times (or pool sizes) of the Calvin cycle intermediates to optimize metabolism. Presumably, there are mechanisms for adjusting uniformly the rates of individual reactions inside the cycle (Fridlyand and Scheibe, 1999a, 2000). Indeed, the carboxylation rate can completely limit the rate of photosynthesis, at least at low [CO2 ] when the rate of RuBP carboxylation is strongly limited by Rubisco (Farquhar et al., 1980; Woodrow and Berry, 1988). Even at high [CO2 ], it has been proposed that RuBP is not limiting, but rather it serves as a gatekeeper and, thus, the paramount controller of CO2 fixation under any condition (Farazdaghi and Edwards, 1988; Farazdaghi, 2009). Such a model substantiates the robustness of the Calvin cycle and its relative insensitivity to precise values of biochemical parameters. Steady operation of the Calvin cycle assumes that the contribution of every individual step to the turnover period ( i /) is determined by the relative concentration of the metabolite at a given step. In these conditions, i / = Si /, where Si is the concentration of the metabolite at a given step, i is the transient time for this step, is the sum of the lifetimes of all metabolite pools (it can be regarded as the turnover period of the cycle or the mean time of the turnover of one acceptor molecule in the cycle), and is the total concentration of metabolites in the cycle (Fridlyand and Scheibe, 1999a). Main equilibria in the Calvin cycle are achieved by glyceraldehyde dehydrogenase (GAPDH), transketolase, and aldolase. GAPDH catalyses the reversible reduction of 1,3-bisphosphoglycerate. Its rate depends on the ATP/ADP ratio (really MgATP/MgADP) and 225 NADPH NADP+ ATP ADP PGA P2GA GAP Sugar-P2 ADP CO2 NADH NAD+ RuBP Pi ATP Sugar-P ADP ATP Photosynthec products Fig. 1. A generalized structure of the Calvin cycle. The bypasses forming substrate cycles and catalyzed by chloroplastic glycolytic enzymes are shown by dotted lines. Abbreviations: RuBP – ribulose-1,5-bisphosphate, PGA – 3-phosphoglycerate, P2 GA – 1,3-bisphosphoglycerate, GAP – glyceraldehyde-3-phosphate. levels of 1,3-bisphosphoglycerate, but considering an unlimited formation of the latter in the kinase reaction, it depends on PGA formed in the Rubisco reaction. Phosphoglycerate kinase and triose-phosphate isomerase exhibit very high activities and do not exert any limitation on the Calvin cycle turnover (Fridlyand, 1992). The equilibrium transketolase and transaldolase reactions, together with phosphopentose isomerase result in the production of ribulose-5-P which, after entering the irreversible phosphoribulokinase reaction, forms RuBP, the substrate for Rubisco. The net result of the coupling of equilibrium and nonequilibrium reactions in the Calvin cycle is to produce a sufficient amount of RuBP for Rubisco to adjust rates of CO2 assimilation to turnover rates of the cycle intermediates (Fridlyand and Scheibe, 1999a). In conditions of homeostatic operation of the Calvin cycle, Rubisco becomes its main controlling point through CO2 concentration (and also the O2 level). This would not be possible in case of a direct reduction of CO2 via formate and formaldehyde, the mechanism largely abandoned by living matter, although there are some indications that it may have a minor contribution to photosynthetic metabolism (reviewed in Igamberdiev et al., 1999). From the analysis of operation of the Calvin cycle (Fig. 1), we see the basic principle of the structure of the metabolic cycle. Any cycle consists of both equilibrium and non-equilibrium reactions. The equilibrium enzymes in cycles buffer them, while the nonequilibrium enzymes drive them. The equilibrium reactions are generally limiting because they create equilibrium concentrations to supply substrates for fast non-equilibrium fluxes. These equilibria set turnover times for cycles and provide conditions when the cycle operation is limited only by the availability of the entry substrate (in the Calvin cycle – CO2 ) and supply of the energy (ATP) and the reductant (NADPH) at optimum rate and stoichiometry. This can be achieved via mechanisms that buffer supply of ATP, NADPH, and CO2 . We discuss them below. 3. Buffering of Adenylates in the Chloroplast by Adenylate Kinase To provide the stable and sustainable rate of CO2 fixation, it is important that the ATP/ADP ratio in chloroplasts is maintained at certain optimal level. Too low level will result in the suppression of Calvin cycle turnover at the levels of PGA phosphorylation/reduction and ribulose-5-P phosphorylation (Fridlyand and Scheibe, 1999a), while too high level will result in the ADP depletion for ATP synthesis and in the depletion of Mg2+ in the stroma (Igamberdiev and Kleczkowski, 2006). Under non-photorespiratory conditions, the values of ATP/ADP in leaf chloroplasts are relatively 226 A.U. Igamberdiev, L.A. Kleczkowski / BioSystems 103 (2011) 224–229 Operation of ETC in chloroplast Oxygen reduction (Mehler reaction) Nitrite reduction Malate valve Generation of membrane potential and ∆ pH ATP synthesis by ATP synthase e- from H2O Fdr NADPH Cyclic flow Chlororespiration PGA reduction Equilibrium of adenylates by AK Establishment of stromal ATP/ADP ratios Establishment of stromal [Mg2+] Regulation of Rubisco and other Calvin cycle enzymes Sustainable CO2 fixation in the Calvin cycle Fig. 2. Adenylate buffering in chloroplasts. Schematic representation of the links between AK equilibrium, chloroplast ATP/ADP ratio, concentration of free magnesium, and control over Rubisco activity. low (on the order of 1.1–1.3), but they increase during photorespiration (up to 3–4) (Gardeström and Wigge, 1988; Igamberdiev et al., 2001). The main mechanism to balance the ATP/ADP ratio upon changes of metabolite concentrations or upon limitations of the electron transport is the thermodynamic buffering of adenylates by adenylate kinase (AK) (Igamberdiev and Kleczkowski, 2003, 2006) (Fig. 2). AK is a strong regulator of concentrations of adenylates and Mg2+ in the cells, in particular in chloroplast stroma and the mitochondrial intermembrane space. During the transition from darkness to light, when a significant increase of [ATP] occurs, there could be a delay in photosynthesis (photosynthetic induction) caused by a decrease in stromal [Mg2+ ], with both the adenylate composition and [Mg2+ ] controlled by AK equilibrium (Igamberdiev and Kleczkowski, 2001; Igamberdiev et al., 2001). This delays the Mg2+ -dependent activation of Rubisco and other enzymes that require Mg2+ for activity. Quantitative analyses by Fridlyand (1992) and Fridlyand et al. (1997) have demonstrated that, at the level of PGA reduction, the rate of GAPDH reaction (v) completely depends both on [3-PGA] and the ATP/ADP ratio. Thus, v = KVmax [PGA]([ATP]/[ADP]), where K is the apparent constant for PGA reduction, and Vmax is the activity of GAPDH. More correctly, the MgATP/MgADP ratio drives this reaction (Igamberdiev and Kleczkowski, 2001). To keep the steady flow through the Calvin cycle, this ratio should be maintained steady. Under photorespiratory conditions, the flux of carbon turns to the glycolate pathway and [ATP] rises, thus also decreasing the Calvin cycle capacity (lower [Mg2+ ]). This relatively lower flux through the Calvin cycle is accompanied by the supply of ATP for refixation of photorespiratory ammonia. The calculated values of [Mg2+ ] in low [CO2 ] are lower than in high [CO2 ] (Igamberdiev and Kleczkowski, 2001), thus limiting the operation of Rubisco and the Calvin cycle. An important factor that affects regulation by the ATP/ADP ratio is the direct transport of ATP from the chloroplast (Flügge and Heldt, 1984). The capacity of chloroplastic adenylate transporters is usually limited under light conditions, and the energy (e.g. for sucrose synthesis) is largely transported as a triose-P in exchange with phosphate. This means that the transport through chloroplast membrane cannot exert a significant control over intrachloroplastic ATP and ADP levels. This, in turn, substantiates the view that the supply of ATP to the cytosol may depend to a large extent on mitochondrial ATP synthesis (Gardeström and Wigge, 1988). This also means that the buffering of adenylates for steady fluxes of the photosynthetic phosphorylation and the Calvin cycle occurs Fig. 3. A generalized scheme of electron sinks in chloroplasts. via the chloroplastic AK system, while the regulation of the reductant pool takes place both inside and outside the chloroplasts (the latter through the malate valve) (Krömer and Scheibe, 1996). In C4 plants, AK has an additional task of recycling AMP produced by pyruvate-phosphate-dikinase reaction and is abundant particularly in mesophyll chloroplasts (Kleczkowski and Randall, 1986; Wild et al., 1997). 4. Regulation of the ATP/NADPH Ratio in Photosynthetic Cells Stable operation of the Calvin cycle is supported by stable ATP/NADPH ratio in chloroplasts (Noctor and Foyer, 1998, 2000). Assimilation of one CO2 molecule requires three ATP and two NADPH, while photorespiration demands additional ATP molecules for glycerate phosphorylation and for refixation of photorespiratory ammonia. Nitrate and nitrite reduction provide additional sinks for the reductant during photosynthesis (Noctor and Foyer, 1998). Stromal ATP/NADPH ratio is adjusted by various mechanisms which direct electrons to acceptors other than CO2 . The adjustment can be achieved by cyclic electron flow around PSI (mediated by ferredoxin: NADPH reductase, NAD(P)H dehydrogenase, or putative ferredoxin: plastoquinone reductase), by the reduction of O2 in the Mehler reaction, or by the malate valve (Fig. 3). The cyclic electron flow generates ATP without reducing NADP+ , while the Mehler reaction provides the sink for electrons, linking it to another redox buffer – ascorbate (Ort and Baker, 2002). Chlororespiration (mediated by NAD(P)H dehydrogenase) oxidizes NAD(P)H in the chloroplast without ATP synthesis, while the malate valve represents a mechanism transporting the reductant outside the chloroplast. It can be used for hydroxypyruvate reduction in peroxisomes (Hanning and Heldt, 1993) or for oxidation in the electron transport chain in mitochondria, with the latter process coupled or non-coupled to ATP synthesis (Igamberdiev et al., 1998). Cyclic phosphorylation increases [ATP] at constant [NADPH], while chlororespiration and other non-coupled pathways decrease [NADPH] (reduction level) without [ATP] increase. The antisense reduction of NADPH-glyceraldehyde phosphate dehydrogenase, which results in slowing down the Calvin cycle and a lower rate of NADPH consumption, leads to an increase in the rate of cyclic phosphorylation around PSI (Livingston et al., 2010). This may be directly related to the adjustment of the ATP/NADPH ratio in these plants. Reduction of O2 through the Mehler reaction results in the decrease of NADP reduction level. Environmental stresses such as photoinhibition, high temperatures, drought, or high salinity tend to stimulate the activity of alternative PSI-driven electron transport pathways. Thus, the energetic and regulatory functions of these pathways must be an integral part of photosynthetic organisms, providing additional flexibility to environmental stress (Bukhov and Carpentier, 2004). Unlike ferredoxin-dependent cyclic electron transport, the pathways supported by NAD(P)H oxidation can function in the dark and are likely involved in chlororespiratory-dependent energization of A.U. Igamberdiev, L.A. Kleczkowski / BioSystems 103 (2011) 224–229 the thylakoid membrane supporting carotenoid biosynthesis and maintaining thylakoid ATPase in active state. The rate of NAD(P)Hdependent pathways under light depends largely on NAD(P)H accumulation in the stroma (Bukhov and Carpentier, 2004). The transfer capacity of the malate valve is estimated not to exceed 20 mol (mg Chl)−1 h−1 (or 5% of the electron transport) under normal physiological conditions (Fridlyand et al., 1998). The valve is a most flexible system of transport of redox equivalents. It can either increase redox level in another compartment, or lead to extra ATP synthesis in mitochondria, serving either as the transporter of redox equivalent or energy equivalent. By accepting reducing equivalents, malate valve also supports ATP synthesis within the chloroplast. Fridlyand and Scheibe (1999b) developed the equations for electron transport to ferredoxin, nitrite reduction, cyclic electron transport, malate valve, PGA reduction, and O2 reduction in chloroplast. They calculated control coefficients for different electron fluxes and showed that chloroplasts can maintain the NADPH/NADP+ ratio constant within a wide range of light intensities. In their model, the irreversible exergonic reactions that are not coupled to ATP synthesis can be tightly regulated by shifts in the balance between the reactions of load and consumption. This so called “regulated uncoupling” occurs, in general, if one of two coupled reactions of a cyclic process proceeds without its counterpart. The switch between the cyclic and the non-cyclic phosphorylation is strongly regulated via special protein factors (DalCorso et al., 2008). The data of Laisk et al. (2007) show that the alternative and cyclic electron flow necessary to compensate variations in the ATP/NADPH ratio represent only a few percent of the linear flow of energy-dissipating processes around PSI and PSII at light saturation. The modulation of proton influx through cyclic electron flow around PSI is suggested to play a role in regulating the ATP/NADPH output ratio of the light reactions (Avenson et al., 2005; Cruz et al., 2005). In dark-adapted leaves, the cyclic flow operates at maximum rate, owing to the partial inactivation of the Calvin cycle. For increasing time of illumination, the activation of the Calvin cycle, and thus that of the linear flow, is associated with a subsequent decrease in the rate of the cyclic flow. Under steady-state conditions of illumination, the contribution of cyclic flow to PSI turnover increases as a function of the light intensity (from 0 to approximately 50% for weak to saturating light, respectively). Lack of CO2 is associated with an increase in the efficiency of the cyclic flow. ATP concentration could be one of the parameters that control the transition between the linear and the cyclic flow modes (Joliot and Joliot, 2006). The cyclic electron flow can operate under aerobic conditions and support a simple competition model, where the excess reducing power is recycled to match the demand for ATP (Alric et al., 2010). Chlororespiration likely plays a role in the regulation of photosynthesis by modulating the activity of cyclic electron flow around PSI (Peltier and Cournac, 2002). It is important to mention here that the buffering of adenylates and pyridine nucleotides may take place within the Calvin cycle through the corresponding substrate cycles. For this, the enzymes catalyzing reverse reactions are important. These are mainly glycolytic enzymes catalyzing the reactions that are opposite in the direction when compared to corresponding reactions of the Calvin cycle. Trimming and Emes (1993) detected all of the glycolytic enzymes, except hexokinase and phosphoglyceromutase, in pea plastids. Garland and Dennis (1980) compared the properties of plastidic and cytosolic PFKs and found kinetic and regulatory differences between the two isoenzymes: the plastid PFK was sensitive to inhibition by ATP and was phosphate-activated, in contrast to the cytosolic isoenzyme. PFK may convert not only fructose-6-P to fructose-1,6-bisP but also sedoheptulose-7-P to sedoheptulose1,7-bisP (Karadsheh et al., 1973). The latter reaction is carried out 227 in the opposite direction than that of the sedoheptulose bisphosphatase in the Calvin cycle. This means that [ATP] can be finely controlled within the stroma. The NAD-dependent GAPDH present in the plastids, in conjunction with the corresponding NADPHdependent enzymes of the Calvin cycle, can balance redox levels of pyridine nucleotides (NAD and NADP) and also ATP/ADP ratios. These glycolytic reactions bypassing the reactions of the Calvin cycle are shown by dot lines in Fig. 1. They can contribute to finetuning of the metabolic flux through the cycle. 5. CO2 Buffering as a Condition for Stable Operation of the Calvin Cycle Rubisco, the first enzyme of the Calvin cycle, uses RuBP as an acceptor for either carboxylation (with CO2 ) or oxygenation (with O2 ) reactions. The magnitude of each reaction depends on the [CO2 ]/[O2 ] ratio in the vicinity of Rubisco which is determined by the atmospheric concentrations of both gases, their diffusion to chloroplasts, and the degree of CO2 depletion by Rubisco itself. The carboxylation and oxygenation reactions are each followed by a series of metabolic steps referred to as the Calvin cycle (carboxylation) and the glycolate cycle (oxygenation). The latter pathway involves several compartments and brings about (among other things) a release of CO2 from mitochondria (photorespiration). In vivo concentration of Rubisco in chloroplast stroma is up to three orders of magnitude higher than that of its gaseous substrates and approximately equal to that of RuBP (Jensen and Bahr, 1977; Pickersgill, 1986). In addition, stromal [CO2 ] is below its Km value with Rubisco (Woodrow and Berry, 1988), implying that any depletion of CO2 would result in an immediate decrease of Rubisco activity and, thus, decreasing the rate of photosynthesis. This, in turn, implies that for stable operation of Rubisco, a feedback mechanism should exist that supplies CO2 internally from the reactions where it is released (respiration and photorespiration). In other words, to prevent depletion during the active photosynthesis process and to support stable operation of the Calvin cycle, the CO2 concentration should be buffered in the vicinity of Rubisco. In this buffering process, the competition between two substrates (CO2 and O2 ) and the delay in CO2 release, when Rubisco takes O2 , results in a kinetic behavior that leads to generation of oscillations (Roussel et al., 2007; Roussel and Igamberdiev, 2011), which may be an essential consequence of the Rubisco reaction mechanism. For every four carbons entering the glycolate cycle due to oxygenase activity of Rubisco, one CO2 is released (in mitochodria). This released carbon is not necessarily lost to the atmosphere – some estimates give values as high as over 80% for the efficiency of refixation of the photorespiratory carbon (Pinelli and Loreto, 2003). Carbon released due to the mitochondrial Krebs cycle activity in the light can also be refixed. For refixation to occur, the CO2 needs to be released from mitochondria, cross the cytosol, and end up in the stromal compartment. In the CO2 refixation process, an important role may be played by carbonic anhydrase isozymes which equilibrate pools of CO2 and bicarbonate (Raven, 2001; Riazunnisa et al., 2006). In this way, the CO2 released in mitochondria can be transported as bicarbonate, the process in which mitochondrial, cytosolic, chloroplast carbonic anhydrases and mitochondrial and chloroplast bicarbonate transporters work together preventing CO2 loss and facilitating CO2 refixation (Fig. 4). The carbonic anhydrase reaction may also be involved in a kind of the CO2 concentrating mechanism of C3 plants. In this process, localized entirely in chloroplasts, the stromal and thylakoid-based carbonic anhydrases cooperate to pump bicarbonate into thylakoids in exchange for CO2 , thus effectively increasing [CO2 ] near Rubisco (Fridlyand and Kaler, 1987; Hanson et al., 2003). The cooperation of Rubisco and carbonic 228 A.U. Igamberdiev, L.A. Kleczkowski / BioSystems 103 (2011) 224–229 Fig. 4. The scheme showing CO2 buffering in photosynthetic cell. Rubisco participates both in reactions with CO2 (as carboxylase) and O2 (as oxygenase), the latter eventually leading to the appearance of glycine in the mitochondria and, subsequently, to photorespiration. The CO2 produced by photorespiration is transported through the cytoplasm to the chloroplasts either directly or as bicarbonate after conversion by the mitochondrial carbonic anhydrase. The equilibria between CO2 and bicarbonate established by corresponding carbonic anhydrases are shown in chloroplasts, mitochondria and cytosol. anhydrases in CO2 pumping and refixation constitutes the pivotal mechanism providing the essential CO2 buffering that supports and maintains the stable operation of the Calvin cycle. 6. Conclusion The photosynthetic CO2 fixation is controlled by mechanisms that provide steady homeostatic flux through the Calvin cycle. The reactions that operate close to the thermodynamic equilibrium, especially the reduction of PGA and the transketolase reaction can significantly influence the total turnover period in the Calvin cycle and provide optimized CO2 fixation rate. In this optimization, the buffering of adenylates and magnesium (via AK), of NADPH (via different reactions of slippage and regulated uncoupling), and of CO2 (via the photorespiratory feedback) work together to make the CO2 fixation steady during photosynthesis. In this way, the external energy (light) is used for the maintenance of the stable non-equilibrium state which, in turn, drives living processes in plants. Acknowledgments This work was supported by the Natural Sciences and Engineering Research Council of Canada (to A. U. I.) and by the Swedish Research Council (to L. A. K.). References Allen, D.K., Libourel, I.G.L., Shachar-Hill, Y., 2009. Metabolic flux analysis in plants: coping with complexity. Plant Cell Environ. 32, 1241–1257. 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