Theory and Modern Applications
Table 5 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 | \(\mathcal{J}_{2}^{*}\) | \(G^{*}(T)\) |
|---|---|---|---|
Dose control | \(\sigma ^{*}_{d}=99.164\) | 323.9829 | 63.264 |
Timing control | \(\tau ^{*}_{1}=33.3408\), \(\tau ^{*}_{2}= 47.4336\), | 308.0294 | 78.219 |
\(\tau ^{*}_{3}= 55.824\), \(\tau ^{*}_{4}=48.8568\), | |||
\(\tau ^{*}_{5}= 54.5448\), \(\sigma ^{*}_{d}= 97.692\) | |||
Mixed control | \(\tau ^{*}_{1}=32.28\), \(\tau ^{*}_{2}= 51.276\), | 310.9245 | 65.105 |
\(\tau ^{*}_{3}= 53.3976\), \(\tau ^{*}_{4}=47.868\), | |||
\(\tau ^{*}_{5}= 55.1784\), \(\sigma ^{*}_{1}= 119.148\) | |||
\(\sigma ^{*}_{2}= 114.984\), \(\sigma ^{*}_{3}= 118.868\), | |||
\(\sigma ^{*}_{4}= 131.02\) |