Simulation Results in a heat shock response model

1. In the slow time scale

Original Model
             X_2                            X_3                             X_8
X_2  X_3  X_8
Approximate Model
            X_2                             X_3                             X_8
X_2'  X_3'  X_8'
The first three graphs are the simulation results in the original system with three out of nine chemical species, while the next three graphs are  the simulation  results in the reduced system with three fast processes: X_2, X_3, and X_8.




2. In the medium time scale
Original Model                  Approximate Model
             X_7                             X_7
X_7      X_7'



3. In the fast time scale
Original Model
             X_1                            X_4                             X_5
X_1  X_4  X_5
Approximate Model
             X_1                             X_4                            X_5
X_1'  X_4'  X_5'

Original Model
             X_6                             X_9
X_6  X_9
Approximate Model
             X_6                             X_9
X_6'  X_9'