Table 1.

Model parameters

Description Units Symbol Value Reference 
Cytosolic pH  pHC 7.2 Roos and Boron, 1981; Wu et al., 2000  
Cytosolic potassium concentration mM [K+]C 145 Alberts et al., 2008  
Cytosolic sodium concentration mM [Na+]C 10 Alberts et al., 2008  
Cytosolic chloride concentration mM [Cl]C 5–50 Sonawane et al., 2002; Alberts et al., 2008  
Luminal pH (initial)  pHL 7.4 Alberts et al., 2008 a 
Luminal potassium concentration (initial) mM [K+]L Alberts et al., 2008 a 
Luminal sodium concentration (initial) mM [Na+]L 145 Alberts et al., 2008 a 
Luminal chloride concentration (initial) mM [Cl]L 110 Alberts et al., 2008 a 
Proton permeabilityb cm/s PH+ 6 × 105  
Potassium permeability cm/s PK+ 7.1 × 107 Hartmann and Verkman, 1990  
Sodium permeability cm/s PNa+ 9.6 × 107 Hartmann and Verkman, 1990  
Chloride permeability cm/s PCl 1.2 × 105 Hartmann and Verkman, 1990  
Bilayer capacitance µF/cm2 C0 Hille, 2001  
Lysosome diameter µm  0.68 Van Dyke, 1993  
Lysosome volumec 1.65 × 1016  
Lysosome surface areac cm2 1.45 × 108  
Buffering capacityd mM/pH β 40  
Osmotic coefficient  ϕ 0.73 Kielland, 1937  
Water permeability cm/s PW 0.052 Lencer et al., 1990  
Partial molar volume of water cm3/mol νW 18 Verkman, 2000  
Cytoplasmic osmolyte concentratione mM ΦC 290  
Description Units Symbol Value Reference 
Cytosolic pH  pHC 7.2 Roos and Boron, 1981; Wu et al., 2000  
Cytosolic potassium concentration mM [K+]C 145 Alberts et al., 2008  
Cytosolic sodium concentration mM [Na+]C 10 Alberts et al., 2008  
Cytosolic chloride concentration mM [Cl]C 5–50 Sonawane et al., 2002; Alberts et al., 2008  
Luminal pH (initial)  pHL 7.4 Alberts et al., 2008 a 
Luminal potassium concentration (initial) mM [K+]L Alberts et al., 2008 a 
Luminal sodium concentration (initial) mM [Na+]L 145 Alberts et al., 2008 a 
Luminal chloride concentration (initial) mM [Cl]L 110 Alberts et al., 2008 a 
Proton permeabilityb cm/s PH+ 6 × 105  
Potassium permeability cm/s PK+ 7.1 × 107 Hartmann and Verkman, 1990  
Sodium permeability cm/s PNa+ 9.6 × 107 Hartmann and Verkman, 1990  
Chloride permeability cm/s PCl 1.2 × 105 Hartmann and Verkman, 1990  
Bilayer capacitance µF/cm2 C0 Hille, 2001  
Lysosome diameter µm  0.68 Van Dyke, 1993  
Lysosome volumec 1.65 × 1016  
Lysosome surface areac cm2 1.45 × 108  
Buffering capacityd mM/pH β 40  
Osmotic coefficient  ϕ 0.73 Kielland, 1937  
Water permeability cm/s PW 0.052 Lencer et al., 1990  
Partial molar volume of water cm3/mol νW 18 Verkman, 2000  
Cytoplasmic osmolyte concentratione mM ΦC 290  
a

These are typical extracellular values. Values in nascent lysosomes are not known.

b

This value was estimated based on fits to data in Fig. 2 A. An experimental estimate based on measurements from rat liver lysosomes is 2.9 × 10−4 cm/s (Van Dyke, 1993).

c

These values are calculated for a sphere of diameter 0.68 µm.

d

Buffering capacity varies with the pHL. An earlier study reported a value of 60 mM/pH at pHL 6.8, which gradually decreased to 20 mM/pH at pHL 5.2 (Van Dyke, 1993). A recent study reports a value of 61.5 mM/pH for pHL 4.5–5.0 (Steinberg et al., 2010). We use a constant buffering capacity that falls in between these reported values and gives a best fit value to the in vitro data in Fig. 2 A.

e

290 mM was a typical value, which was adjusted to maintain initial osmotic equilibrium.

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