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• W3101474629 abstract "In this paper, we study optimal control problems associated with a scalar hyperbolic conservation law modeling the development of ovarian follicles. Changes in the age and maturity of follicular cells are described by a 2D conservation law, where the control terms act on the velocities. The control problem consists in optimizing the follicular cell resources so that the follicular maturity reaches a maximal value in fixed time. Formulating the optimal control problem within a hybrid framework, we prove necessary optimality conditions in the form of Hybrid Maximum Principle. Then we derive the optimal strategy and show that there exists at least one optimal bang-bang control with one single switching time." @default.
• W3101474629 created "2020-11-23" @default.
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• W3101474629 date "2013-01-01" @default.
• W3101474629 modified "2023-10-16" @default.
• W3101474629 title "Optimal Control of Cell Mass and Maturity in a Model of Follicular Ovulation" @default.
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• W3101474629 doi "https://doi.org/10.1137/120862247" @default.
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