Theory and Modern Applications
Table 3 Best least squares fits for fractional alpha model for subject 3 CGM data
From: A fractional differential equation model for continuous glucose monitoring data
Alpha value | Best parameters | Best least squares errors | ||||
|---|---|---|---|---|---|---|
\(\boldsymbol{k_{GX}}\) | \(\boldsymbol{k_{XG}}\) | G (0) | \(\boldsymbol{G^{\prime}(0)}\) | \(\boldsymbol{G^{\prime\prime}(0)}\) | ||
2.9 | 8.749e − 05 | 9.829e − 06 | 9.456 | −9.752e − 03 | 1.953e − 04 | 1,229.9 |
2.75 | 1.146e − 04 | 1.261e − 05 | 7.976 | 1.522e − 02 | −3.032e − 04 | 1,226.3 |
2.5 | 7.556e − 05 | 8.636e − 06 | 9.735 | −5.41e − 03 | 9.19e − 05 | 1,168.6 |
2.25 | 2.029e − 04 | 2.518e − 05 | 9.58 | −2.4e − 03 | 1.421e − 04 | 1,037.7 |
2.1 | 3.31e − 04 | 4.973e − 05 | 8.958 | 4.891e − 03 | 2.303e − 04 | 858.55 |
2.05 | 3.04e − 04 | 6.275e − 05 | 8.588 | 9.158e − 03 | 3.609e − 04 | 778.781 |
2.0 | 6.922e − 04 | 7.851e − 05 | 7.832 | 1.749e − 02 | - | 699.4 |
1.9 | 1.096e − 03 | 1.279e − 04 | 7.036 | 2.87e − 02 | - | 559.34 |
1.8 | 1.758e − 03 | 2.133e − 04 | 6.196 | 4.012e − 02 | - | 506.91 |
1.7 | 2.89e − 03 | 3.662e − 04 | 5.392 | 5.036e − 02 | - | 529.36 |