The photosynthetic assimilation of CO
2 in C
4 plants is potentially limited by the enzymatic rates of Rubisco, phospho
enolpyruvate carboxylase (
PEPc), and carbonic anhydrase (
CA). Therefore, the activity and kinetic properties of these enzymes are needed to accurately parameterize C
4 biochemical models of leaf CO
2 exchange in response to changes in CO
2 availability and temperature. There are currently no published temperature responses of both Rubisco carboxylation and oxygenation kinetics from a C
4 plant, nor are there known measurements of the temperature dependency of the
PEPc Michaelis-Menten constant for its substrate HCO
3−, and there is little information on the temperature response of plant
CA activity. Here, we used membrane inlet mass spectrometry to measure the temperature responses of Rubisco carboxylation and oxygenation kinetics,
PEPc carboxylation kinetics, and the activity and first-order rate constant for the
CA hydration reaction from 10°C to 40°C using crude leaf extracts from the C
4 plant
Setaria viridis. The temperature dependencies of Rubisco,
PEPc, and
CA kinetic parameters are provided. These findings describe a new method for the investigation of
PEPc kinetics, suggest an HCO
3− limitation imposed by
CA, and show similarities between the Rubisco temperature responses of previously measured C
3 species and the C
4 plant
S. viridis.Biochemical models of photosynthesis are often used to predict the effect of environmental conditions on net rates of leaf CO
2 assimilation (
Farquhar et al., 1980;
von Caemmerer, 2000,
2013;
Walker et al., 2013). With climate change, there is increased interest in modeling and understanding the effects of changes in temperature and CO
2 concentration on photosynthesis. The biochemical models of photosynthesis are primarily driven by the kinetic properties of the enzyme Rubisco, the primary carboxylating enzyme of the C
3 photosynthetic pathway, catalyzing the reaction of ribulose-1,5-bisphosphate (
RuBP) with either CO
2 or oxygen. However, the CO
2-concentrating mechanism in C
4 photosynthesis utilizes carbonic anhydrase (
CA) to help maintain the chemical equilibrium of CO
2 with HCO
3− and phospho
enolpyruvate carboxylase (
PEPc) to catalyze the carboxylation of phospho
enolpyruvate (
PEP) with HCO
3−. These reactions ultimately provide the elevated levels of CO
2 to the compartmentalized Rubisco (
Edwards and Walker, 1983). In C
4 plants, it has been demonstrated that
PEPc, Rubisco, and
CA can limit rates of CO
2 assimilation and influence the efficiency of the CO
2-concentrating mechanism (
von Caemmerer, 2000;
von Caemmerer et al., 2004;
Studer et al., 2014). Therefore, accurate modeling of leaf photosynthesis in C
4 plants in response to future climatic conditions will require temperature parameterizations of Rubisco,
PEPc, and
CA kinetics from C
4 species.Modeling C
4 photosynthesis relies on the parameterization of both
PEPc and Rubisco kinetics, making it more complex than for C
3 photosynthesis (
Berry and Farquhar, 1978;
von Caemmerer, 2000). However, the activity of
CA is not included in these models, as it is assumed to be nonlimiting under most conditions (
Berry and Farquhar, 1978;
von Caemmerer, 2000). This assumption is implemented by modeling
PEPc kinetics as a function of CO
2 partial pressure (
pCO2) and not HCO
3− concentration, assuming CO
2 and HCO
3− are in chemical equilibrium. However, there are questions regarding the amount of
CA activity needed to sustain rates of C
4 photosynthesis and if CO
2 and HCO
3− are in equilibrium (
von Caemmerer et al., 2004;
Studer et al., 2014).The most common steady-state biochemical models of photosynthesis are derived from the Michaelis-Menten models of enzyme activity (
von Caemmerer, 2000), which are driven by the
Vmax and the
Km. Both of these parameters need to be further described by their temperature responses to be used to model photosynthesis in response to temperature. However, the temperature response of plant
CA activity has not been completed above 17°C, and there is no known measured temperature response of
Km HCO
3− for
PEPc (
KP). Alternatively, Rubisco has been well studied, and there are consistent differences in kinetic values between C
3 and C
4 species at 25°C (
von Caemmerer and Quick, 2000;
Kubien et al., 2008), but the temperature responses, including both carboxylation and oxygenation reactions, have only been performed in C
3 species (
Badger and Collatz, 1977;
Jordan and Ogren, 1984;
Bernacchi et al., 2001,
2002;
Walker et al., 2013).Here, we present the temperature dependency of Rubisco carboxylation and oxygenation reactions,
PEPc kinetics for HCO
3−, and
CA hydration from 10°C to 40°C from the C
4 species
Setaria viridis (succession no., A-010) measured using membrane inlet mass spectrometry. Generally, the 25°C values of the Rubisco parameters were similar to previous measurements of C
4 species. The temperature response of the maximum rate of Rubisco carboxylation (
Vcmax) was high compared with most previous measurements from both C
3 and C
4 species, and the temperature response of the
Km for oxygenation (
KO) was low compared with most previously measured species. Taken together, the modeled temperature responses of Rubisco activity in
S. viridis were similar to the previously reported temperature responses of some C
3 species. Additionally, the temperature response of the maximum rate of
PEPc carboxylation (
Vpmax) was similar to previous measurements. However, the temperature response of
KP was lower than what has been predicted (
Chen et al., 1994). For
CA, deactivation of the hydration activity was observed above 25°C. Additionally, models of
CA and
PEPc show that
CA activity limits HCO
3− availability to
PEPc above 15°C, suggesting that
CA limits
PEP carboxylation rates in
S. viridis when compared with the assumption that CO
2 and HCO
3− are in full chemical equilibrium.
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