Skip to main content

Table 1 Summary of Hill function (eq. 2) parameters used in the present model (Figure 1, eq. 3-9)

From: A local glucose-and oxygen concentration-based insulin secretion model for pancreatic islets

Model

Var.

C Hf

n

R max

Comments

R oxy, oxygen consumption, base

c oxy

1 μM

1

-0.034 mol/m3/s

Cut to 0 below critical value, c oxy <C cr,oxy.

R oxy, oxygen consumption, φ o,g metabolic part

c gluc

7 mM

2.5

N/A

Due to increasing metabolic demand; parallels second-phase insulin secretion rate.

R gluc, glucose consumption

c gluc

10 μM

1

-0.028 mol/m3/s

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

R ins,ph2, insulin secretion rate, second-phase

c gluc

7 mM

2.5

3 × 10-5 mol/m3/s

Total secretion rate is modulated by local oxygen availability (last row).

R ins,ph1, insulin secretion rate, first-phase

∂c gluc/∂t

0.03 mM/s

2

21 × 10-5 mol/m3/s

Modulated via eq. 8 to have maximum sensibility around c gluc = 5 mM and be limited at very large or low c gluc.

Insulin secretion rate, φ o,g oxygen dependence

c oxy

3 μM

3

N/A

To abruptly limit insulin secretion if c oxy becomes critically low.