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Theory and Modern Applications

Table 5 Best least squares fits for fractional alpha model for subject 5 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

2.835e − 06

2.338e − 07

6.182

−9.943e − 03

9.18e − 05

107.32

2.9

4.168e − 06

6.241e − 07

12.084

−1.487e − 02

1.14e − 04

105.67

2.75

9.743e − 06

1.449e − 06

8.353

−1.024e − 02

9.017e − 05

102.85

2.5

3.416e − 05

5.393e − 06

8.347

−9.418e − 03

1.172e − 04

97.368

2.25

1.001e − 04

1.925e − 05

8.346

−7.369e − 03

1.89e − 04

94.368

2.1

8.051e − 05

4.069e − 05

8.352

−4.978e − 03

3.978e − 04

100.84

2.05

1.001e − 08

1e − 08

7.583

−3.782e − 04

−1.48e − 06

138.99

2.0

1.082e − 08

2.251e − 07

7.581

−3.444e − 04

-

139.25

1.9

1.002e − 08

4.465e − 07

7.582

−2.769e − 04

-

139.54