Formation of the tight-binding inhibitor, 3-ketoarabinitol-1,5-bisphosphate by ribulose-1,5-bisphosphate carboxylase/oxygenase is O2-dependent

Ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco) (EC 4.1.1.39) not only catalyzes carboxylation and oxygenation of ribulose-1,5-bisphosphate (RuBP), but it can also act either as an epimerase or isomerase converting RuBP into xylulose-1,5-bisphosphate (XuBP) or 3-ketoarabinitol-1,5-bisphosphate (KABP), respectively, a process called misfire. XuBP is formed as a result of misprotonation at C3 of the RuBP-enediol. It is released from Rubisco active sites and accumulates in the reaction mixture. Increasing the amounts of CO₂ or O₂ decreases XuBP production. However, KABP synthesis, which has been proposed to be only a product due to C2 misprotonation of the RuBP-endiol, is dependent upon the presence of O₂. KABP remains tightly bound to Rubisco active sites after its formation, causing the loss of Rubisco activity (fallover). The results suggest that the non-stabilized form of the peroxy-intermediate in the oxygenase reaction can be converted in a backreaction to KABP and molecular oxygen. The stabilization of the peroxy-intermediate due to the presence of Mn²⁺ instead of Mg²⁺ eliminates the formation of KABP.     

Photoreductive path of carbon fixation in green plant photosynthesis. Reaction pathway of six-carbon ribulose 1,5-bisphosphate carboxylation adduct intermediate

In this paper we examine the six-carbon intermediate pathway of ribulose 1,5-bisphosphate (RuBP) carboxylation reaction in photosynthesis. Based on the observed reactions of purified RuBP carboxylase, mechanisms are described for carbon dioxide assimilation leading to the hydrolytic splitting of the six-carbon intermediate to two enzyme-bound glycerate-3-P (3-PGA) molecules. It is concluded that, under photosynthetic conditions, the reduction of enzyme-bound NADP+ by the chlorophyll is responsible for the rapid carboxylase turnover rate given by the lifetime, tau L = 0.4 s, which is nearly two orders of magnitude shorter than the corresponding value, tau D = 11 +/- 3 s, for the dark decay of enzyme-bound RuBP. The nocturnal inhibition and photoactivation of RuBP carboxylation are described in terms of the reversible light-dark cycles of the NADP+/NADPH redox couple and endogenous changes that accompany the 2-carboxy-D-arabinitol-1-phosphate binding to the enzyme active site.     

Multiple catalytic roles of His 287 of Rhodospirillum rubrum ribulose 1,5-bisphosphate carboxylase/oxygenase.

Active-site His 287 of Rhodospirillum rubrum ribulose 1,5-bisphosphate (RuBP) carboxylase/oxygenase interacts with the C3-hydroxyl of bound substrate or reaction-intermediate analogue (CABP), water molecules, and ligands for the activator metal-ion (Andersson I, 1996, J Mol Biol 259:160-174; Taylor TC, Andersson I, 1997, J Mol Biol 265:432-444). To test structure-based postulates of catalytic functionality, His 287 was replaced with Asn or Gln. The mutants are not affected adversely in subunit assembly, activation (binding of Mg2+ and carbamylation of Lys 191), or recognition of phosphorylated ligands; they bind CABP with even greater tenacity than does wild-type enzyme. H287N and H287Q are severely impaired in catalyzing overall carboxylation (approximately 10(3)-fold and > 10(5)-fold, respectively) and enolization (each mutant below threshold for detection) of RuBP. H287N preferentially catalyzes decarboxylation of carboxylated reaction intermediate instead of forward processing to phosphoglycerate. Analysis of RuBP turnover that occurs at high concentrations of mutants over extended time periods reveal > 10-fold reduced CO2/O2 specificities, elevated misprotonation of the enediol intermediate, and misprocessing of the oxygenated intermediate of the oxygenase pathway. These results are consistent with multifaceted roles for His 287 in promoting enediol formation, enediol tautomerization, and forward-processing of carboxylated intermediate.     

Photosynthesis and ribulose-1,5-bisphosphate carboxylase/oxygenase in rice leaves from emergence through senescence. Quantitative analysis by carboxylation/oxygenation and regeneration of ribulose 1,5-bisphosphate

Changes in gas-exchange rates during the life span of the leaves of rice (Oryza sativa L.) were analyzed quantitatively by measuring changes in the carboxylation/oxygenation and regeneration of ribulose 1,5-bisphosphate (RuBP) at photon fluence rates of 2000 (saturating) and 500 (subsaturating) μmol quanta·m^-2·s^-1 under ambient air conditions. The RuBP levels were always higher than the active-site concentrations of RuBP carboxylase (EC 4.1.1.39), irrespective of the irradiance supplied. Analysis of the CO₂-assimilation rate as a function of intercellular CO₂ concentration indicated that RuBP regeneration does not limit CO₂ assimilation. The estimated RuBP-carboxylase/oxygenase activity in vivo was linearly correlated to the rate of CO₂ assimilation at each level of irradiance. This enzyme activity was just enough to account for the rate of CO₂ assimilation at the saturating irradiance and was 35% more than the rate of CO₂ assimilation at the subsaturating irradiance. Analysis of the assimilation rate at subsaturating irradiance as a function of intercellular CO₂ concentration indicated that a limitation caused by enzyme activation comes into play. The results indicate that the rate of CO₂ assimilation in rice leaves under ambient air conditions is limited during their entire life span by the RuBP-carboxylation/oxygenation capacity.     

Partitioning of the Leaf CO2 Exchange into Components Using CO2 Exchange and Fluorescence Measurements

Photorespiration was calculated from chlorophyll fluorescence and ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco) kinetics and compared with CO2 evolution rate in the light, measured by three gas-exchange methods in mature sunflower (Helianthus annuus L.) leaves. The gas-exchange methods were (a) postillumination CO2 burst at unchanged CO2 concentration, (b) postillumination CO2 burst with simultaneous transfer into CO2-free air, and (c) extrapolation of the CO2 uptake to zero CO2 concentration at Rubisco active sites. The steady-state CO2 compensation point was proportional to O2 concentration, revealing the Rubisco specificity coefficient (Ksp) of 86. Electron transport rate (ETR) was calculated from fluorescence, and photorespiration rate was calculated from ETR using CO2 and O2 concentrations, Ksp, and diffusion resistances. The values of the best-fit mesophyll diffusion resistance for CO2 ranged between 0.3 and 0.8 s cm-1. Comparison of the gas-exchange and fluorescence data showed that only ribulose-1,5-bisphosphate (RuBP) carboxylation and photorespiratory CO2 evolution were present at limiting CO2 concentrations. Carboxylation of a substrate other than RuBP, in addition to RuBP carboxylation, was detected at high CO2 concentrations. A simultaneous decarboxylation process not related to RuBP oxygenation was also detected at high CO2 concentrations in the light. We propose that these processes reflect carboxylation of phosphoenolpyruvate, formed from phosphoglyceric acid and the subsequent decarboxylation of malate.     

How various factors influence the CO2/O2 specificity of ribulose-1,5-bisphosphate carboxylase/oxygenase

Temperature, activating metal ions, and amino-acid substitutions are known to influence the CO₂/O₂ specificity of the chloroplast enzyme ribulose-1,5-bisphosphate carboxylase/oxygenase. However, an understanding of the physical basis for enzyme specificity has been elusive. We have shown that the temperature dependence of CO₂/O₂ specificity can be attributed to a difference between the free energies of activation for the carboxylation and oxygenation partial reactions. The reaction between the 2,3-enediolate of ribulose 1,5-bisphosphate and O₂ has a higher free energy of activation than the corresponding reaction of this substrate with CO₂. Thus, oxygenation is more responsive to temperature than carboxylation. We have proposed possible transition-state structures for the carboxylation and oxygenation partial reactions based upon the chemical natures of these two reactions within the active site. Electrostatic forces that stabilize the transition state of the carboxylation reaction will also inevitably stabilize the transition state of the oxygenation reaction, indicating that oxygenase activity may be unavoidable. Furthermore, the reduction in CO₂/O₂ specificity that is observed when activator Mg²⁺ is replaced by Mn²⁺ may be due to Mg²⁺ being more effective in neutralizing the negative charge of the carboxylation transition state, whereas Mn²⁺ is a transition-metal ion that can overcome the triplet character of O₂ to promote the oxygenation reaction.Abbreviations CABP 2-carboxyarabinitol 1,5-bisphosphate - enol-RuBP 2,3-enediolate of ribulose 1,5-bisphosphate - K_c K_mfor CO₂ - K_o K_mfor O₂ - Rubisco ribulose-1,5-bisphosphate carboxylase/oxygenase - RuBP ribulose 1,5-bisphosphate - V_c V _max for carboxylation - V_o V _max for oxygenation     

Subunit interface dynamics in hexadecameric rubisco

Ribulose-1,5-bisphosphate (RuBP) carboxylase/oxygenase (Rubisco) plays an important role in the global carbon cycle as a hub for biomass. Rubisco catalyzes not only the carboxylation of RuBP with carbon dioxide but also a competing oxygenation reaction of RuBP with a negative impact on photosynthetic yield. The functional active site is built from two large (L) subunits that form a dimer. The octameric core of four L₂ dimers is held at each end by a cluster of four small (S) subunits, forming a hexadecamer. Each large subunit contacts more than one S subunit. These interactions exploit the dynamic flexibility of Rubisco, which we address in this study. Here, we describe seven different types of interfaces of hexadecameric Rubisco. We have analyzed these interfaces with respect to the size of the interface area and the number of polar interactions, including salt bridges and hydrogen bonds in a variety of Rubisco enzymes from different organisms and different kingdoms of life, including the Rubisco-like proteins. We have also performed molecular dynamics simulations of Rubisco from Chlamydomonas reinhardtii and mutants thereof. From our computational analyses, we propose structural checkpoints of the S subunit to ensure the functionality and/or assembly of the Rubisco holoenzyme. These checkpoints appear to fine-tune the dynamics of the enzyme in a way that could influence enzyme performance.     

Rubisco specificity factor tends to be larger in plant species from drier habitats and in species with persistent leaves

The specificity factor of Rubisco is a measure of the relative capacities of the enzyme to catalyse carboxylation and oxygenation of ribulose 1,5-bisphosphate and hence to control the relative rates of photosynthetic carbon assimilation and photorespiration. Specificity factors of purified Rubisco from 24 species of C₃ plants found in diverse habitats with a wide range of environmental growth limitations by both water availability and temperature in the Balearic Islands were measured at 25 °C. The results suggest that specificity factors are more dependent on environmental pressure than on phylogenetic factors. Irrespective of phylogenetic relationships, higher specificity factors were found in species characteristically growing in dryer environments and in species that are hemideciduous or evergreen. Effects of temperature on specificity factor of the purified enzyme from 14 species were consistent with the concept that higher specificity factors were associated with an increase in the activation energy for oxygenation compared to carboxylation of the 2,3-enediolate of RuBP to the respective transition state intermediates. The results are discussed in terms of selection pressures leading to the differences in specificity factors and the value of the observations for identifying useful genetic manipulation to change Rubisco polypeptide subunits.     

Oxygen response of leaf CO2 compensation points used to determine Rubisco specificity factors of gymnosperm species

Journal of Plant Research - Rubisco specificity factor (Sc/o), a measure of the relative capacities of an enzyme to catalyze carboxylation and oxygenation of ribulose-1,5-bisphosphate, determines...     

Proteolysis and transition-state-analogue binding of mutant forms of ribulose-1,5-bisphosphate carboxylase/oxygenase from Chlamydomonas reinhardtii

Trypsin digestion reduces the sizes of both the large and small subunits of ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco; EC 4.1.1.39) from the green alga Chlamydomonas reinhardtii. Incubation of either CO₂/Mg²⁺ -activated or nonactivated enzyme with the transition-state analogue carboxyarabinitol bisphosphate protects a trypsin-sensitive site of the large subunit, but not of the small subunit. Incubation of the nonactivated enzyme with ribulosebisphosphate (RuBP) provided the same degree of protection. Thus, the very tight binding that is a characteristic of the transitionstate analogue is apparently not required for the protection of the trypsin-sensitive site of the large subunit. Mutant enzymes that have reduced CO₂/O₂ specificities failed to bind carboxyarabinitol bisphosphate tightly. However, their large-subunit trypsin-sensitive sites could still be protected. The K _m values for RuBP were not significantly changed for the mutant enzymes, but the V _max values for carboxylation were reduced substantially. These results indicate that the failure of the mutant enzymes to bind the transition-state analogue tightly is primarily the consequence of an impairment in the second irreversible binding step. Thus, in all of the mutant enzymes, defects appear to exist in stabilizing the transition state of the carboxylation step, which is precisely the step proposed to influence the CO₂/O₂ specificity of Rubisco.Abbreviations and Symbols CABP 2-carboxyarabinitol 1,5-bisphosphate - enol-RuBP 2,3-enediolate of ribulose 1,5-bisphosphate - K _c K _m for CO₂ - K _o K _m for O₂ - Rubisco ribulose-1,5-bisphosphate carboxylase/oxygenase - RuBP ribulose 1,5-bisphosphate - V _c V _max for carboxylation - V _o V _max for oxygenation Paper No. 9313, Journal Series, Nebraska Agricultural Research DivisionThis work was supported by National Science Foundation grant DMB-8703820. We thank Drs. Archie Portis and Raymond Chollet for their helpful comments, and also thank Dr. Chollet for graciously providing CABP and [¹⁴C]CABP.     

Activity and activation state of ribulose-1,5-bisphosphate carboxylase of spruce trees with varying degrees of damage relative to the occurrence of novel forest decline

The aim was to determine whether a reduced carboxylation efficiency in needles of damaged spruce trees (Picea abies), is derived from a direct impairment of the ribulose-1,5-bisphosphate carboxylase (RuBP carboxylase) or there is an indirect inhibition of the RuBP carboxylase. In 1985, 1986 and 1987 measurements of RuBP carboxylase activity were carried out at three locations. Trees of different ages and degrees of damage were examined. RuBP carboxylase was assayed using both a rapid extraction method to determine the initial activity and an in vitro test after total activation to determine the total activity. The activation state was calculated as the ratio of initial activity to total activity.Within three vegetation periods the total activity in needles of damaged and apparently healthy or slightly damaged spruce trees indicated no definite difference in the annual average. On the other hand, in damaged needles a continued decline of the actual activation of RuBP carboxylase was established. The observation of continued depression of the activation state of the enzyme in needles of damaged spruce trees can possibly be due to a reduced photosynthetic electron transport rate.The measurements of the soluble protein content indicate a tendency to increased amounts in the needles of damaged trees. In accordance, a considerable increase of the activity of some enzymes like glutamine synthethase, phosphoenol-pyruvate carboxylase, and catalase could be noticed. However, there is no clear connection between the RuBP carboxylase and the content of soluble proteins.Abbreviations chl chlorophyll a+b, dw-dry weight, i.a-initial activity - P-700 reaction center of photosystem I - PVP polyvinylpyrrolidone 25 - RuBP ribulose-1,5-bisphosphate - RuBPCase ribulose-1,5-bisphosphate carboxylase - t.a. total activity     

Estimation of rate constants of the partial reactions of carboxylation of ribulose-1,5-bisphosphate in vivo

An in vivo method for the estimation of kinetic parameters of partial reactions of carboxylation of ribulose 1,5-bisphosphate (RuBP) catalyzed by ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco) is described. Rubisco in barley, wheat and bean is different in the ability of its active centers to bind RuBP. The rate constant of the formation of the Rubisco-RuBP complex in these plants at 25 °C is 0.414, 0.245 and 0.660 mM^-1 s^-1, respectively. The rate constant of the reaction of the Rubisco-bound enediol with CO₂ does not differ significantly in barley and wheat, and averages 66 mM^-1 s^-1. Decreased irradiance inhibits Rubisco in two ways: by reducing the concentration of operating catalytic sites and by decreasing the rate constant of binding of RuBP to Rubisco. High concentrations of CO₂ inhibit Rubisco by decreasing the concentration of competent carboxylation centers, without any s ignificant influence upon the rate constants of partial reactions.     

Mutagenesis at two distinct phosphate-binding sites unravels their differential roles in regulation of Rubisco activation and catalysis

Orthophosphate (P(i)) has two antagonistic effects on ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco), stimulation of activation and inhibition of catalysis by competition with the substrate RuBP. The enzyme binds P(i) at three distinct sites, two within the catalytic site (where 1P and 5P of ribulose 1,5-bisphosphate [RuBP] bind), and the third at the latch site (a positively charged pocket involved in active-site closure during catalysis). We examined the role of the latch and 5P sites in regulation of Rubisco activation and catalysis by introducing specific mutations in the enzyme of the cyanobacterium Synechocystis sp. strain PCC 6803. Whereas mutations at both sites abolished the P(i)-stimulated Rubisco activation, substitution of residues at the 5P site, but not at the latch site, affected the P(i) inhibition of Rubisco catalysis. Although some of these mutations substantially reduced the catalytic turnover of Rubisco and increased the K(m)(RuBP), they had little to moderate effect on the rate of photosynthesis and no effect on photoautotrophic growth. These findings suggest that in cyanobacteria, Rubisco does not limit photosynthesis to the extent previously estimated. These results indicate that both the latch and 5P sites participate in regulation of Rubisco activation, whereas P(i) binding only at the 5P site inhibits catalysis in a competitive manner.     

IMMUNOCYTOCHEMICAL CHARACTERIZATION OF THE INTRAPYRENOID THYLAKOIDS OF CRYPTOMONADS1

Thylakoid lamellae extend into the pyrenoids of only two genera of cryptomonad algae, Chroomonas and Hemiselmis, We used immunoelectron microscopy to assess the photosynthetic competency of cryptomonad intrapyrenoid thylakoids. Intrapyrenoid thylakoids possess phycobiliproteins and the chlorophyll a/c₂ light-harvesting complex, both of which are associated with photosystem (PS) II in a light-harvesting capacity. In addition, thylakoids that extend into the pyrenoid of Hemiselmis brunnescens were immunolabelled by anti-PSI. These results indicate that cryptomonad intrapyrenoid thylakoids likely function in a manner analogous to thylakoids of the chloroplast stroma. Moreover, our observation that the Calvin cycle enzyme ribulose 1,5-bisphosphate carboxylase/oxygenase (Rubisco) is pyrenoid-localized in these two cryptophytes indicates that the processes of photosynthetic O₂-evolution and ribulose 1,5-bisphosphate (RuBP) carboxylation/oxygenation are not spatially separated in these algae.     

Inactivation of ribulosebisphosphate carboxylase/oxygenase from rhodospirillum rubrum and spinach with the new affinity label 2-bromo-1,5-dihydroxy-3-pentanone 1,5-bisphosphate

In an attempt to identify the active-site base believed to initiate catalysis by ribulosebisphosphate carboxylase, we have synthesized 2-bromo-1, 5-dihydroxy-3-pentanone 1,5-bisphosphate, a reactive analogue of a postulated intermediate of carboxylation. Although highly unstable, this compound can be shown to inactivate the carboxylases from both $\text{Rhodospirillum}\text{,}\text{rubrum}$ and spinach rapidly and irreversibly. Inactivation follows pseudo first-order kinetics, shows rate saturation and is greatly reduced by saturating amounts of the competitive inhibitor, 2-carboxyribitol 1,5-bisphosphate. The incorporation of reagent, quantified by reducing the modified carboxylases with [³H]NaBH₄, shows that inactivation results from the modification of approximately one residue per catalytic subunit of the $\text{Rhodospirillum}\text{,}\text{rubrum}$ enzyme and less than one residue per protomeric unit of the spinach enzyme.     

Photosynthetic acclimation in rice leaves to free-air CO2 enrichment related to both ribulose-1,5-bisphosphate carboxylation limitation and ribulose-1,5-bisphosphate regeneration limitation

Net photosynthetic rates (Pns) in leaves were compared between rice plants grown in ambient air control and free-air CO2 enrichment (FACE, about 200 micromol mol(-1) above ambient) treatment rings. When measured at the same CO2 concentration, the Pn of FACE leaves decreased significantly, indicating that photosynthetic acclimation to high CO2 occurs. Although stomatal conductance (Gs) in FACE leaves was markedly decreased, intercellular CO2 concentrations (Ci) were almost the same in FACE and ambient leaves, indicating that the photosynthetic acclimation is not caused by the decreased Gs. Furthermore, carboxylation efficiency and maximal Pn, both light and CO2-saturated Pn, were decreased in FACE leaves, as shown by the Pn-Ci curves. In addition, the soluble protein, Rubisco (ribulose-1,5-bisphosphate caboxylase/oxygenase), and its activase contents as well as the sucrose-phosphate synthase activity decreased significantly, while some soluble sugar, inorganic phosphate, chlorophyll and light-harvesting complex II (LHC II) contents increased in FACE leaves. It appears that the photosynthetic acclimation in rice leaves is related to both ribulose-1,5-bisphosphate (RuBP) carboxylation limitation and RuBP regeneration limitation.     

Regulation of ribulose-1,5-bisphosphate carboxylase activity by the activase system in lysed spinach chloroplasts

Ribulose-1,5-bisphosphate (RuBP) carboxylase in lysed spinach (Spinacia oleracea L. cv virtuosa) chloroplasts that had been partly inactivated at low CO₂ and Mg²⁺ by incubating in darkness with 4 millimolar partially purified RuBP was reactivated by light. If purified RuBP was used to inhibit dark activation of the enzyme, reactivation by light was not observed unless fructose-1,6-bisphosphate, ATP, or ADP plus inorganic phosphate were also added. Presumably, ADP plus inorganic phosphate acted as an ATP-generating system with a requirement for the generation of ΔpH across the thylakoid membrane. When the RuBP obtained from Sigma Chemical Co. was used, light did not reactivate the enzyme. There was no direct correlation between ΔpH and activation. Therefore, thylakoids are required in the ribulose-1,5-bisphosphate carboxylase activase system largely to synthesize ATP. Inactivation of RuBP carboxylase in isolated chloroplasts or in the lysed chloroplast system was not promoted simply by a transition from light to dark conditions but was caused by low CO₂ and Mg²⁺.     

X-ray structure of Galdieria Rubisco complexed with one sulfate ion per active site

Ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco) catalyzes the reactions of carboxylation and oxygenation of ribulose-1,5-bisphosphate. These reactions require that the active site should be closed by a flexible loop (loop 6) of the large subunit. Rubisco from a red alga, Galdieria partita, has the highest specificity for carboxylation reaction among the Rubiscos hitherto reported. The crystal structure of unactivated Galdieria Rubisco has been determined at 2.6 A resolution. The electron density map reveals that a sulfate binds only to the P1 anion-binding site of the active site and the loop 6 is closed. Galdieria Rubisco has a unique hydrogen bond between the main chain oxygen of Val332 on the loop 6 and the epsilon-amino group of Gln386 of the same large subunit. This interaction is likely to be crucial to understanding for stabilizing the loop 6 in the closed state and to making a higher affinity for anionic ligands.     

Leucine 332 influences the CO2/O2 specificity factor of ribulose-1,5-bisphosphate carboxylase/oxygenase from Anacystis nidulans.

The role of Leu 332 in ribulose-1,5-bisphosphate carboxylase/oxygenase from the cyanobacterium Anacystis nidulans was investigated by site-directed mutagenesis. Substitutions of this residue with Met, Ile, Val, Thr, or Ala decreased the CO2/O2 specificity factor by as much as 67% and 96% for the Ile mutant in the presence of Mg2+ and Mn2+, respectively. For the Met, Ile, and Ala mutants in the presence of Mg2+, no loss of oxygenase activity was observed despite the loss of greater than 65% of the carboxylase activity relative to the wild-type enzyme. In the presence of Mn2+, carboxylase activities for mutant enzymes were reduced to approximately the same degree as was observed in the presence of Mg2+, although oxygenase activities were also reduced to similar extents as carboxylase activities. Only minor changes in Km(RuBP) were observed for all mutants in the presence of Mg2+ relative to the wild-type enzyme, indicating that Leu 332 does not function in RuBP binding. These results suggest that in the presence of Mg2+, Leu 332 contributes to the stabilization of the transition state for the carboxylase reaction, and demonstrate that it is possible to affect only one of the activities of this bifunctional enzyme.     

Regulation of Rubisco: Influence of Parameters of Partial Reactions upon the Rate of Carboxylation/Oxygenation1

Activity of ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco, EC 4.1.1.39) is regulated by environmental factors (irradiance, CO₂ concentration) by changing the concentration of competent reaction centers and the reactivity of the centers. These changes do not necessarily mean that the steady-state rate of carboxylation or oxygenation would change. A mathematical model of carboxylation/oxygenation has been developed to evaluate the significance of the regulation of particular paramaters for integrating the response.