Theory and Modern Applications
Table 3 Comparison of different injection strategies
From: Optimal selection of injection doses and injection timings for insulin therapy in a limited time
| Â | Optimal control parameters | \(\mathcal{J}_{1}^{*}\) | \(G^{*}(T)\) |
|---|---|---|---|
Dose control | \(\sigma ^{*}_{d}=133.564\) | 145.1660 | 105.74 |
Timing control | \(\tau ^{*}_{1}=31.6152\), \(\tau ^{*}_{2}= 44.1648\), | 123.8571 | 171.67 |
\(\tau ^{*}_{3}= 44.16\), \(\tau ^{*}_{4}=44.4768\), | |||
\(\tau ^{*}_{5}= 75.5832\), \(\sigma ^{*}_{d}= 131.888\) | |||
Mixed control | \(\tau ^{*}_{1}=30.4848\), \(\tau ^{*}_{2}= 44.028\), | 128.34 | 174.24 |
\(\tau ^{*}_{3}= 44.0256\), \(\tau ^{*}_{4}=45.2928\), | |||
\(\tau ^{*}_{5}= 76.1712\), \(\sigma ^{*}_{1}= 130.936\) | |||
\(\sigma ^{*}_{2}= 130.908\), \(\sigma ^{*}_{3}= 130.804\) | |||
\(\sigma ^{*}_{4}= 130.48\) |