Задача оптимального керування стадією елонгації полімеразно-ланцюгової реакції
The general methodology of optimal control for obtaining the solution of the optimal flow problem in the elongation stage of a polymerase chain reaction is applied. The examined model of the elongation stage takes into account the dependence of reaction’s rate on the absolute temperature, which is d...
Збережено в:
| Видавець: | The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" |
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| Дата: | 2015 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Ukrainian |
| Опубліковано: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2015
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| Онлайн доступ: | http://journal.iasa.kpi.ua/article/view/59445 |
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Репозиторії
System research and information technologies| Резюме: | The general methodology of optimal control for obtaining the solution of the optimal flow problem in the elongation stage of a polymerase chain reaction is applied. The examined model of the elongation stage takes into account the dependence of reaction’s rate on the absolute temperature, which is described by the Arrhenius equation. This equation can be used in the investigation of the elongation stage of a polymerase chain reaction, since the temperature controls the process. A scheme of the temperature control in the process of a polymerase chain reaction is examined. Pontryagin’s maximum principle for the optimal control problem is used and the necessary condition for optimality is formulated. The obtained results are required for the numerical calculations of optimal control of the examined stage and help to minimize the required duration of the elongation stage, which will allow to minimize the duration of a polymerase chain reaction in general. |
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