Theory and Modern Applications
Table 1 Best least squares fits for fractional alpha model for subject 1 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 | 9.015e − 06 | 1.106e − 06 | 6.217 | 1.993e − 02 | −2.063e − 04 | 81.86 |
2.9 | 1.536e − 05 | 1.876e − 06 | 6.37 | 1.798e − 02 | −2.039e − 04 | 78.32 |
2.75 | 3.191e − 05 | 3.862e − 06 | 6.489 | 1.575e − 02 | −2.054e − 04 | 73.442 |
2.5 | 1.008e − 04 | 1.196e − 05 | 6.881 | 9.923e − 03 | −1.811e − 04 | 69.365 |
2.25 | 2.835e − 04 | 3.344e − 05 | 7.528 | 7.161e − 04 | −1.079e − 04 | 92.639 |
2.1 | 4.156e − 04 | 5.964e − 05 | 7.902 | −8.863e − 03 | 1.09e − 04 | 151.67 |
2.05 | 1.625e − 04 | 8.396e − 05 | 7.527 | −1.137e − 02 | 5.925e − 04 | 182.74 |
2 | 7.234e − 04 | 9.178e − 05 | 7.291 | −9.791e − 03 | - | 233.68 |
1.9 | 1.057e − 03 | 1.345e − 04 | 6.703 | −6.81e − 03 | - | 320.09 |