Table 1 Model parameters and initial conditions
From: Mathematical modeling and analysis of insulin clearance in vivo
Parameter | Value | Source | Meaning of the parameter |
|---|---|---|---|
kins | 10-3 nM-1 s-1 | [36] | insulin binding to the receptor |
kins 1d | 4·10-4 s-1 | [36] | insulin dissociation from the receptor (I1, PM) |
kins 2d | 4·10-2 s-1 | [36] | insulin dissociation from the receptor (I2, PM) |
kins 1den | 1.925·10-3 s-1 | [49] | insulin dissociation from the receptor (I1, EN) |
kins 2den | 3.85·10-3 s-1 | [50] | insulin dissociation from the receptor (I2, EN) |
kyd | 3.85·10-3 s-1 | [51] | receptor dephosphorylation (PM) |
kyden | 7.22·10-3 s-1 | [52] | receptor dephosphorylation (EN) |
kyp | 0.0231 s-1 | [52] | autophosphorylation of the receptor (I1 and I2) |
intk 1 | 5.5·10-4 s-1 | [34] | internalization of phosphorylated receptors |
intk 2 | 2·10-4 s-1 | [34] | internalization of unphosphorylated receptors |
reck 1 | 1.533·10-3 s-1 | [34] | recycling of receptors without insulin |
k 1ub | 0.35 s-1 | [46] | nonspecific insulin binding in the liver |
k 2ub | 0.2 s-1 | [46] | dissociation of nonspecifically bound insulin |
pansec | 0.0016976 nM·s-1 | calc. | pancreatic insulin secretion |
K pan | 0.5 nM | ass. | concentration of half-maximal insulin secretion |
m liver | 0.05·m body | [46] | mass of the liver |
v p | 0.03375·10-3 l·g-1·m body | [54] | plasma volume |
ρ liver | 1.051·103 g·l-1 | [53] | density of the liver |
v hep | (m liver /ρ liver )·0.78 | [45] | total hepatocyte volume |
v d | 0.272·10-3 l·g-1·v hep ·ρ liver | [46] | volume of the space of Disse |
m kidney | 2·0.85 g·mbody/(230 g) | [55] | mass of the kidney |
K kidney | 0.0225·10-3 l·(s·g)-1·m kidney | [47] | clearance of the kidney |