Table 2. List of the estimated parameter values.
Parameter | Value | Description |
β 1 | Degradation rate of x 1 (based on Western Blot data) | |
β 2 | Degradation rate of x 2 | |
β 3 | Degradation rate of x 3 | |
β 4 | Degradation rate of x 4 (based on RT-PCR data) | |
β 5 | Degradation rate of x 5 | |
β 6 | Degradation rate of x 6, based on (2) | |
β 7 | Degradation rate of x 7 (based on RT-PCR data) | |
K 1 | 2.1 | Weighted factor |
K 4 | 11.0 | Weighted factor |
K 61 | 8.6 | Weighted factor |
K 66 | 1.3 | Weighted factor |
K 7 | 1.2 | Weighted factor |
k 12 | Threshold of x 2 to inhibit x 1 | |
k 23 | Threshold of x 3 to activate x 2 | |
k 41 | 1.7 | Threshold of x 1 to activate x 4 |
k 61 | 1.4 | Threshold of x 1 to activate x 6 |
k 66 | Threshold of x 6 to activate x 6 (auto-regulation) | |
k 65 | Threshold of x 5 to activate x 6 | |
k 76 | Threshold of x 6 to activate x 7 | |
n 12 | 4 | Coefficient of nonlinearity for x 2 to inhibit x 1 |
n 23 | 4 | Coefficient of nonlinearity for x 3 to activate x 2 |
n 41 | 4 | Coefficient of nonlinearity for x 1 to activate x 4 |
n 61 | 4 | Coefficient of nonlinearity for x 1 to activate x 6 |
n 66 | 4 | Coefficient of nonlinearity for x 6 to activate x 6 |
n 65 | 4 | Coefficient of nonlinearity for x 5 to activate x 6 |
n 76 | 4 | Coefficient of nonlinearity for x 6 to activate x 7 |
Parameters such as mRNA degradation rates are estimated based on our data or from existing literatures. Values of other parameters such as activation/inhibition threshold k and relative weights K are estimated to fit in the time course data by genetic algorithm of least square regression. Degradation rates are in the unit of/min. Activation/inhibition thresholds, nonlinearity coefficients and relative weights for multiple inputs are non-dimensionalized.