Table 2.

Parameters for the ATP synthase model

ParameterDefinitionValueUnitReference
Faraday’s constant 9.649 × 104 C mol−1 Keener and Sneyd (1998)  
Universal gas constant 8.315 J mol−1 K−1 Keener and Sneyd (1998)  
pHm Matrix pH 7.6  Magnus and Keizer (1997)  
pHc Cristae pH 7.2  Magnus and Keizer (1997)  
[Pi] Phosphate concentration 20 mM Pietrobon and Caplan (1985)  
Temperature 310  
Equilibrium constant 1.71 × 106 Pietrobon and Caplan (1985)  
Δψ Membrane potential 180 mV Holmuhamedov et al. (1998)  
ΔψB,i Phase boundary potential −50 mV Pietrobon and Caplan (1985)  
ΔψB,M Phase boundary potential mV Pietrobon and Caplan (1985)  
k61,0 Rate constant at 0 mV 4.98 × 107 s−1 Pietrobon and Caplan (1985)  
k16,0 Rate constant at 0 mV 1 × 102 s−1 Pietrobon and Caplan (1985)  
k56,0 Rate constant at 0 mV 2.75 × 105 s−1 Pietrobon and Caplan (1985)  
k21,0 Rate constant at 0 mV 40 s−1 Pietrobon and Caplan (1985)  
k43* Rate constantb 1 × 108 M−2 s−1 Pietrobon and Caplan (1985)  
k12* Rate constantb 6.33 × 1024 M−3 s−1 Pietrobon and Caplan (1985)  
k65* Rate constantb 1.58 × 1025 M−3 s−1 Pietrobon and Caplan (1985)  
k23* Rate constantb 5 × 106 M−1 s−1 Pietrobon and Caplan (1985)  
k54 Rate constant 1 × 102 s−1 Pietrobon and Caplan (1985)  
k32 Rate constant 5 × 103 s−1 Pietrobon and Caplan (1985)  
k34 Rate constant 100 s−1 Pietrobon and Caplan (1985)  
k45 Rate constant 100 s−1 Pietrobon and Caplan (1985)  
k56 Rate constant 1,000 s−1 Pietrobon and Caplan (1985)  
k25 Rate constant 5.85 × 10−30 s−1 Pietrobon and Caplan (1985)  
k52 Rate constant 1 × 10−20 s−1 Pietrobon and Caplan (1985)  
k43 Rate constantc 2 × 106 M−1 s−1 Pietrobon and Caplan (1985)  
k12 Rate constantc 25 s−1 Pietrobon and Caplan (1985)  
k65 Rate constantc 3,969 s−1 Pietrobon and Caplan (1985)  
k61 Rate constant at 180 mV 33,989 s−1 Pietrobon and Caplan (1985)  
k16 Rate constant at 180 mV 146,516 s−1 Pietrobon and Caplan (1985)  
k56 Rate constant at 180 mV 1,000 s−1 Pietrobon and Caplan (1985)  
k21 Rate constant at 180 mV 40 s−1 Pietrobon and Caplan (1985)  
δatp Density of ATP synthases 3,070 µm−2 Acehan et al. (2011)  
#ATPsyn1 Number of ATP synthases for Mito #1 267  a  
ParameterDefinitionValueUnitReference
Faraday’s constant 9.649 × 104 C mol−1 Keener and Sneyd (1998)  
Universal gas constant 8.315 J mol−1 K−1 Keener and Sneyd (1998)  
pHm Matrix pH 7.6  Magnus and Keizer (1997)  
pHc Cristae pH 7.2  Magnus and Keizer (1997)  
[Pi] Phosphate concentration 20 mM Pietrobon and Caplan (1985)  
Temperature 310  
Equilibrium constant 1.71 × 106 Pietrobon and Caplan (1985)  
Δψ Membrane potential 180 mV Holmuhamedov et al. (1998)  
ΔψB,i Phase boundary potential −50 mV Pietrobon and Caplan (1985)  
ΔψB,M Phase boundary potential mV Pietrobon and Caplan (1985)  
k61,0 Rate constant at 0 mV 4.98 × 107 s−1 Pietrobon and Caplan (1985)  
k16,0 Rate constant at 0 mV 1 × 102 s−1 Pietrobon and Caplan (1985)  
k56,0 Rate constant at 0 mV 2.75 × 105 s−1 Pietrobon and Caplan (1985)  
k21,0 Rate constant at 0 mV 40 s−1 Pietrobon and Caplan (1985)  
k43* Rate constantb 1 × 108 M−2 s−1 Pietrobon and Caplan (1985)  
k12* Rate constantb 6.33 × 1024 M−3 s−1 Pietrobon and Caplan (1985)  
k65* Rate constantb 1.58 × 1025 M−3 s−1 Pietrobon and Caplan (1985)  
k23* Rate constantb 5 × 106 M−1 s−1 Pietrobon and Caplan (1985)  
k54 Rate constant 1 × 102 s−1 Pietrobon and Caplan (1985)  
k32 Rate constant 5 × 103 s−1 Pietrobon and Caplan (1985)  
k34 Rate constant 100 s−1 Pietrobon and Caplan (1985)  
k45 Rate constant 100 s−1 Pietrobon and Caplan (1985)  
k56 Rate constant 1,000 s−1 Pietrobon and Caplan (1985)  
k25 Rate constant 5.85 × 10−30 s−1 Pietrobon and Caplan (1985)  
k52 Rate constant 1 × 10−20 s−1 Pietrobon and Caplan (1985)  
k43 Rate constantc 2 × 106 M−1 s−1 Pietrobon and Caplan (1985)  
k12 Rate constantc 25 s−1 Pietrobon and Caplan (1985)  
k65 Rate constantc 3,969 s−1 Pietrobon and Caplan (1985)  
k61 Rate constant at 180 mV 33,989 s−1 Pietrobon and Caplan (1985)  
k16 Rate constant at 180 mV 146,516 s−1 Pietrobon and Caplan (1985)  
k56 Rate constant at 180 mV 1,000 s−1 Pietrobon and Caplan (1985)  
k21 Rate constant at 180 mV 40 s−1 Pietrobon and Caplan (1985)  
δatp Density of ATP synthases 3,070 µm−2 Acehan et al. (2011)  
#ATPsyn1 Number of ATP synthases for Mito #1 267  a  
a

Our estimation, given the surface area of high curvature of the IM measured in the reconstruction (Mendelsohn et al., 2021).

b

Independent of the concentration.

c

Concentration dependent.

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