Theory and Modern Applications
Table 2 Best least squares fits for fractional alpha model for subject 2 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) | \(\boldsymbol{G^{\prime}(0)}\) | \(\boldsymbol{G^{\prime\prime}(0)}\) | ||
3.0 | 1.728e − 06 | 2.367e − 07 | 11.589 | −2.6e − 02 | 1.6e − 04 | 1,401.26 |
2.9 | 2.829e − 06 | 3.96e − 07 | 11.573 | −2.492e − 02 | 1.646e − 04 | 1,371.9 |
2.75 | 5.88e − 06 | 8.587e − 07 | 11.421 | −2.2e − 02 | 1.7e − 04 | 1,325.4 |
2.5 | 1.921e − 05 | 3.146e − 06 | 11.073 | −1.67e − 02 | 1.8695e − 04 | 1,236.7 |
2.25 | 5.779e − 05 | 1.197e − 05 | 10.142 | −5.549e − 03 | 2.137e − 04 | 1,118.7 |
2.1 | 8.789e − 05 | 2.707e − 05 | 9.109 | 5.752e − 03 | 2.552e − 04 | 1,037.7 |
2.05 | 6.398e − 05 | 3.55e − 05 | 8.672 | 1.06e − 02 | 3.078e − 04 | 1,015.6 |
2.0 | 3.643e − 04 | 4.624e − 05 | 8.041 | 1.73e − 02 | - | 1,002.4 |
1.9 | 6.166e − 04 | 7.927e − 05 | 7.863 | 2.355e − 02 | - | 1,026.5 |