Table 1 Parametric sensitivity analysis for the glycogen cascade system. The term 'standard' indicates the parameter set used for simulation in this work and the value is indicated in parenthesis. These parameters were varied over a wide range to assess the sensitivity of the response. The star symbol indicates that the output response of a particular enzyme did not reach full activation.
Sensitivity analysis for glycogen cascade system of skeletal muscle | ||||||
|---|---|---|---|---|---|---|
| Â | Â | Â | Apparent Hill coefficient (Standard) to cAMP levels | |||
S. No. | Parameter (standard set) | Varied Range | GP (33) | GS (6.4) | PK (7) | Inhibitor -1 (1.4) |
Rate constants (sec-1) | ||||||
1 | k1 (1.4) | 0.14 – 14 | 12.2 – 48 | 2.4 – 17.8 | 13 – 3.6 | 1.3 – 1.3 |
2 | k2 (0.01) | 0.001 –0.1 | 48 – 12.2 | 17.8 – 2.4 | 3.6 – 13.9 | 1.3 – 1.34 |
3 | k3 (20) | 2 – 200 | 48 – 12.3 | 16.2 – 2.5 | 3.6 – 13.9 | 1.34 – 1.34 |
4 | k4 (5) | 0.5 – 50 | 12.3 – 48 | 2.5 – 16.2 | 13.9 – 3.6 | 1.34 – 1.34 |
5 | k5 (20) | 2 – 200 | 48.7 – 12.2 | 6.4 – 6.4 | 7 – 7 | 1.34 – 1.34 |
6 | k6 (5) | 0.5 – 50 | 12.2 – 48.7 | 6.4 – 6.4 | 7 – 7 | 1.34 – 1.34 |
7 | k7 (20) | 2 – 200 | 33.8 – 33 | 17.7 – 2.4 | 7 – 7 | 1.34 – 1.34 |
8 | k8 (0.05) | 0.005 – 0.5 | 33.8 – 33 | 2.4 – 17.7 | 7 – 7 | 1.34 – 1.34 |
Michaelis-Menten Constants ( μ M) | ||||||
9 | Km1 (5) | 0.5 – 50 | 49 – 13.6 | 11.6 – 2.7 | 5.9 – 12.9 | 1.85 – 1.2 |
10 | Km2 (0.7) | 0.07 – 70 | 40.5 – 27 | 3.9 – 19.4 | 18 – 2.6 | 1.85 – 1.1 |
11 | Km3 (0.4) | 0.04 – 4 | 32 – 42.5 | 6 – 9 | 11.9 – 3.1 | 1.34 – 1.34 |
12 | Km4 (1.1) | 0.11 – 11 | 48.9 – 12 | 16.3 – 2.5 | 11.4 – 8.8 | 1.34 – 1.34 |
13 | Km5 (10) | 1 – 100 | 57.9 – 25 | 6.4 – 6.4 | 7 – 7 | 1.34 – 1.34 |
14 | Km6 (5) | 0.5 – 50 | 55 – 11.5 | 6.4 – 6.4 | 7 – 7 | 1.34 – 1.34 |
15 | Km7 (15) | 1.5 – 150 | 33.8 – 33.8 | 3.8 – 16 | 7 – 7 | 1.34 – 1.34 |
16 | Km8 (0.12) | 0.012 – 1.2 | 33.8 – 33.8 | 3 – 7.8 | 7 – 7 | 1.34 – 1.34 |
Sensitivity analysis for glycogen cascade system of Liver | ||||||
S. No. | Parameter (standard set) | Varied Range | Apparent Hill coefficient (Standard) to glucose levels | |||
| Â | Â | Â | GP (6.3) | GS (13.6) | PK (1.6) | ---- |
Rate constants (sec -1 ) | ||||||
1 | k3 (20) | 2 – 200 | 6 – 6 | 13.7 – 14 | * – 2.9 | ---- |
2 | k4 (5) | 0.5 – 50 | 6 – 6 | 14 – 13.7 | * – 2.9 | ---- |
3 | k5 (20) | 2 – 200 | 5.3 – 5.4 | 21 – 14.1 | 1.6 – 1.6 | ---- |
4 | k6 (5) | 0.5 – 50 | 5.4 – 5.4 | 14.1 – 21 | 1.6 – 1.6 | ---- |
5 | k7 (20) | 2 – 200 | 6.3 – 6.3 | 13 – 20.1 | 1.6 – 1.6 | ---- |
6 | k8 (4) | 0.4 – 40 | 6.3 – 6.3 | 20.1 – 13 | 1.6 – 1.6 | ---- |
Michaelis-Menten Constants ( μ M) | ||||||
7 | Km3 (0.4) | 0.04 – 4 | 6.3 – 6.2 | 13.6 – 13.4 | 4 – * | ---- |
8 | Km4 (1.1) | 0.11 – 11 | 10.6 – 5.4 | 14.5 – 13.8 | * – 2.9 | ---- |
9 | Km5 (10) | 1 – 100 | 11.2 – 5 | 12.2 – 18.7 | 1.6 – 1.6 | ---- |
10 | Km6 (5) | 0.5 – 50 | 8 – 3.8 | 27 – 11.3 | 1.6 – 1.6 | ---- |
11 | Km7 (15) | 1.5 – 150 | 6.3 – 6.3 | 20.5 – 13 | 1.6 – 1.6 | ---- |
12 | Km8 (0.12) | 0.012 – 1.2 | 6.3 – 6.3 | 13.9 – 12.3 | 1.6 – 1.6 |  |