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Table 1 Model parameters

From: Dynamics of glucose and insulin concentration connected to the β‐cell cycle: model development and analysis

  Value Definition
p 1 6.0594×1 0 5 1 min transition rate G1 → S
p 2 4.9861×1 0 3 1 min transition rate S → G2/M
p 3 8.9444×1 0 4 1 min transition rate G2/M → G1
p 4 3.3194×1 0 4 1 min apoptosis rate
p 5 0.056 100 ml mg influence factor of glucose
p 6 0.3 mg 100 ml min rate of glucose production
p 7 0.003 1 min glucose effectiveness
   at zero insulin
p 8 360×1 0 3 100 ml mg min insulin sensitivity
p 9 0.622 1 min secretion rate of insulin
p 10 0.3 1 min decay rate of insulin
p 11 0.0337 1 min rate of provision increase
p 12 1.72×10−9 mg average insulin amount per β‐cell
bv 3.33 ml blood volume of 35g mouse
f 0.5 proportionality factor
h 5 Hill coefficient
P 0 186.506 mg 100 ml Michaelis constant
X ̄ max 1.65×10−3 mg maximal amount of insulin
   per pancreas
k 3.3 Hill coefficient
C 149.78 mg 100 ml Michaelis constant
  1. Parameters of model (9) used for the simulations shown in Figures5 and6 in Section ’Simulation’. The parameter values are based on biological experiments of[4, 20, 31, 32].