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Theory and Modern Applications

Table 4 Best least squares fits for fractional alpha model for subject 4 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

3.876e − 07

6.815e − 08

7.266

−1.2e − 02

4.747e − 05

2,276.185

2.9

8.994e − 07

8.56e − 08

9.413

−9.888e − 03

2.722e − 05

2,240.9

2.75

3.072e − 07

4.275e − 07

6.953

−2.59e − 03

−1.215e − 05

2,165.3

2.5

2.603e − 05

2.594e − 06

4.642

1.79e − 02

−2.081e − 04

1,925.3

2.25

5.711e − 04

3.553e − 05

2.293

4.187e − 02

−1.488e − 03

1,321.7

2.2

8.124e − 04

4.571e − 05

2.743

3.315e − 02

−1.669e − 03

1,291.4

2.1

1.926e − 03

7.672e − 05

4.392

1.025e − 02

−2.536e − 03

1,500.8

2.05

3.186e − 03

4.626e − 05

2.32

6.458e − 02

−3.99e − 03

1,557.7

2.0

1.015e − 03

1.183e − 04

8.588

−4.074e − 02

-

2,473.8

1.9

3.814e − 04

4.427e − 05

9.525

−2.33e − 02

-

2,565.4