Modeling Blood Glucose Levels
Modeling Blood Glucose Levels
It is proposed that the kinetics of the reaction steps are first order, so that =-C and =C-(G-), where is the concentration of carbohydrates in the stomach and is the concentration of glucose in the blood. is the baseline value of at time . After an average meal, =90 mg/dL and =120 mg/dL. The rate constant is related to how quickly the food is digested, while the rate constant is associated with how quickly insulin is released.
dC
dt
k
1
dG
dt
k
1
k
2
G
0
C
G
G
0
G
t=0
G
0
C
0
k
1
k
2