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Theory and Modern Applications

Table 6 Best least squares fits for fractional alpha model for subject 6 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

1.283e − 07

1e − 08

7.636

6.562e − 03

−2.982e − 05

611.49

2.9

1.843e − 07

1e − 08

7.57

7.45e − 03

−3.537e − 05

607.81

2.75

4.125e − 07

1e − 08

7.48

8.675e − 03

−4.487e − 05

603.74

2.5

2.61e − 06

1e − 08

7.341

1.08e − 02

−7.036e − 05

598.39

2.25

8.529e − 05

1.36e − 05

8.333

−4.336e − 03

1.149e − 04

563.28

2.1

1.214e − 04

2.596e − 05

7.811

−2.129e − 04

1.611e − 04

544.15

2.05

9.794e − 05

3.173e − 05

7.576

2.099e − 03

2.101e − 04

541.33

2.0

7.032e − 03

8.868e − 04

8.808

−2.176e − 02

-

540.83

1.9

4.742e − 04

6.178e − 05

7.066

8.41e − 03

-

545.73