Temperature Responses of C4 Photosynthesis: Biochemical Analysis of Rubisco,Phosphoenolpyruvate Carboxylase,and Carbonic Anhydrase in Setaria viridis

The photosynthetic assimilation of CO₂ in C₄ plants is potentially limited by the enzymatic rates of Rubisco, phosphoenolpyruvate carboxylase (PEPc), and carbonic anhydrase (CA). Therefore, the activity and kinetic properties of these enzymes are needed to accurately parameterize C₄ biochemical models of leaf CO₂ exchange in response to changes in CO₂ availability and temperature. There are currently no published temperature responses of both Rubisco carboxylation and oxygenation kinetics from a C₄ plant, nor are there known measurements of the temperature dependency of the PEPc Michaelis-Menten constant for its substrate HCO₃⁻, 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 C₄ 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 HCO₃⁻ limitation imposed by CA, and show similarities between the Rubisco temperature responses of previously measured C₃ species and the C₄ plant S. viridis.Biochemical models of photosynthesis are often used to predict the effect of environmental conditions on net rates of leaf CO₂ 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 CO₂ 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 C₃ photosynthetic pathway, catalyzing the reaction of ribulose-1,5-bisphosphate (RuBP) with either CO₂ or oxygen. However, the CO₂-concentrating mechanism in C₄ photosynthesis utilizes carbonic anhydrase (CA) to help maintain the chemical equilibrium of CO₂ with HCO₃⁻ and phosphoenolpyruvate carboxylase (PEPc) to catalyze the carboxylation of phosphoenolpyruvate (PEP) with HCO₃⁻. These reactions ultimately provide the elevated levels of CO₂ to the compartmentalized Rubisco (Edwards and Walker, 1983). In C₄ plants, it has been demonstrated that PEPc, Rubisco, and CA can limit rates of CO₂ assimilation and influence the efficiency of the CO₂-concentrating mechanism (von Caemmerer, 2000; von Caemmerer et al., 2004; Studer et al., 2014). Therefore, accurate modeling of leaf photosynthesis in C₄ plants in response to future climatic conditions will require temperature parameterizations of Rubisco, PEPc, and CA kinetics from C₄ species.Modeling C₄ photosynthesis relies on the parameterization of both PEPc and Rubisco kinetics, making it more complex than for C₃ 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 CO₂ partial pressure (pCO₂) and not HCO₃⁻ concentration, assuming CO₂ and HCO₃⁻ are in chemical equilibrium. However, there are questions regarding the amount of CA activity needed to sustain rates of C₄ photosynthesis and if CO₂ and HCO₃⁻ 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 V_max and the K_m. 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 K_m HCO₃⁻ for PEPc (K_P). Alternatively, Rubisco has been well studied, and there are consistent differences in kinetic values between C₃ and C₄ 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 C₃ 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 HCO₃⁻, and CA hydration from 10°C to 40°C from the C₄ 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 C₄ species. The temperature response of the maximum rate of Rubisco carboxylation (V_cmax) was high compared with most previous measurements from both C₃ and C₄ species, and the temperature response of the K_m for oxygenation (K_O) 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 C₃ species. Additionally, the temperature response of the maximum rate of PEPc carboxylation (V_pmax) was similar to previous measurements. However, the temperature response of K_P 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 HCO₃⁻ availability to PEPc above 15°C, suggesting that CA limits PEP carboxylation rates in S. viridis when compared with the assumption that CO₂ and HCO₃⁻ are in full chemical equilibrium.