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. 2019 Sep 30;15(9):e1007373. doi: 10.1371/journal.pcbi.1007373

Table 1. The list of parameters used in the model and in calculation of derived measures.

Where not explicitly varied, the parameters are fixed at their default values.

Parameter Symbol Default value Note
Chloroplast radius rP 1.5 μm From Ellis and Leech [18]
Chloroplast surface coverage ϕplas/cell 50% From Ellis and Leech [18]
Envelope-plasmalemma / envelope-tonoplast membrane separation dsep 0.03 μm
Envelope and tonoplast membrane thickness θmem 0.03 μm The membrane thickness is exaggerated to improve numeric convergence. It does not affect the results except through excluded volume.
Vacuole drop dV 12rP The depth by which the chloroplast ‘projects’ into the vacuole space (see Fig 1(a)).
Vacuole height hV 1.5 × rP The height (along the central axis) of the simulated part of the vacuole space.
RubisCO active site concentration cR 4 mM Known range is 2 mM-5 mM [25]
PEPC active site concentration cP variable
RubisCO carboxylation catalysis rate vC 3.8 s-1 For T. aestivum from Cousins et al [38]
RubisCO oxygenation catalysis rate vO 0.83 s-1
RubisCO Michaelis concentration for CO2 KC 9.7 μM
RubisCO Michaelis concentration for O2 KO 244 μM
PEPC carboxylation catalysis rate vB 150 s-1 For Z. mays from Kai et al [39]
PEPC Michaelis concentration for HCO3- KB 100 μM
CO2 pressure in the IAS pCO2 250 μbar
O2 pressure in the IAS pO2 0.21 bar
Henry constant for CO2 at 20°C HC 38.5 mM/bar From dissolved concentrations at 400 μbar and 210 μmbar taken from Carroll et al [40] and Murray and Riley [41].
Henry constant for O2 at 20°C HO 1.36 mM/bar
pH in chloroplast stroma 8.0
pH in the cytoplasm 7.5
pH within the vacuole 5.5
CO2↔HCO3- conversion rate boost due to CA ηCA 106 Saturating, see text.
Base rate for CO2+H2O→HCO3-+H+ reaction kCO2 0.037 s-1 From Johnson [21].
Base rate for CO2+OH-→HCO3- reaction kOH-Kw 7.1 ⋅ 10−11 Ms-1
Base rate for HCO3-+H+→CO2+H2O reaction kd 7.6 ⋅ 104 M-1s-1
Base rate for HCO3-→CO2+OH- reaction kHCO3- 1.8 ⋅ 10−4 s-1
Combined permeability of the cell wall and plasmalemma to O2 and CO2 σc 200 μm/s Ranges in literature from 2 to 5 ⋅ 103μm/s [15, 42].
Permeability of the chloroplast envelope to O2 and CO2 σp 600 μm/s Ranges in literature from 20 μm/s [43] to >3.6 cm/s [44].
Permeability of the tonoplast membrane to O2 and CO2 σv 2σp Assumed to have similar properties to the membranes forming the envelope.
Permeability of the chloroplast envelope to HCO3- 1 nm/s Essentially zero.
Permeability of the tonoplast membrane to HCO3- 2 nm/s
Diffusion constant for CO2 in water DC,aq 1800 μm2/s From Mazarei and Sandall [45]
Diffusion constant for O2 in water DO,aq 1800 μm2/s From Mazarei and Sandall [45]
Diffusion constant for HCO3- in water DB,aq 1100 μm2/s From Falkowski and Raven [46]
Cytoplasm viscosity relative to water ηC 2 As in Tholen and Zhu [16].
Stroma viscosity relative to water ηP 10
Vacuole interior viscosity relative to water ηV 1
Chloroplast light-harvesting capacity LHC Varied Either unlimited, or 40, or 80 mol m-3s-1.
Base photon cost of RuBP regeneration φCalvin 8 From Zhu et al [29]
Base photorespiration photon cost φphresp 9
Base cost of pyruvate-to-PEP conversion φC4 4