Bolie's Model for Glucose-Insulin Dynamics
by Mike Martin

On this page, you can vary the parameters in the Bolie system of differential equations, input initial conditions, and plot solutions for the insulin and glucose levels over time using Bolie's model. Submit real values for all of the parameters to obtain graphical solutions of the system as functions of time and in the phase plane. Nullclines (or isoclines) are plotted in the phase plane. A numeric solution on the interval [0, T] is produced using Mathematica's numerical ODE solver, NDSolve. Initial values for both the glucose, G, and insulin, I, must be input.

Bolie's model equations may be written:

G ' ( t ) = - a1 G ( t ) - a2 I ( t ) + p
I ' ( t ) = - a3 G ( t ) - a4 I ( t )

Enter in the value of the parameters and select the plotting bounds, then press the "Plot/Evaluate" button.

a1 =  

a2 =  

a3 =  

a4 =  

p =  

G (0) =  

I (0) =  

T =  


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