Table 1 Summary of Hill function parameters used in the present model (Figure 1 ; detailed equations in [21])

R _oxy

c _oxy

1 μM

1

−0.034 mol/m³/s

Oxygen consumption, base. Cut to 0 below critical value, c _oxy < C _cr,oxy.

R _oxy

c _gluc

7 mM

2.5

N/A

Oxygen consumption, φ _o,g metabolic part. Due to increasing metabolic demand. Parallels second-phase insulin secretion rate.

R _gluc

c _gluc

10 μM

1

−0.028 mol/m³/s

Glucose consumption. Contrary to oxygen, has no significant influence on model results.

R _ins,ph2

c _gluc

7 mM

2.5

3 × 10⁻⁵ mol/m³/s

Insulin secretion rate, second-phase. Total secretion rate is modulated by local oxygen availability (last row).

R _ins,ph1

∂c _gluc/∂t

0.03 mM/s

2

21 × 10⁻⁵ mol/m³/s

Insulin secretion rate, first-phase. Modulated to have maximum sensibility around c _gluc = 5 mM and be limited at very large or low c _gluc.

R _ins, φ _o,g

c _oxy

3 μM

3

N/A

Insulin secretion rate, φ _o,g oxygen dependence. Limits insulin secretion if c _oxy becomes critically low.