Optimal Control of Surface Acoustic Wave Actuated Sorting of Biological Cells
The sorting of biological cells using biological micro-electro-mechanical systems (BioMEMS) is of utmost importance in various biomedical applications. Here, we consider a new type of devices featuring surface acoustic wave (SAW) actuated cell sorting in microfluidic separation channels. The SAWs are generated by an interdigital transducer (IDT) and manipulate the fluid flow such that cells of different type leave the channel through designated outflow boundaries. The operation of the device can be formulated as an optimal control problem where the objective functional is of tracking type, the state equations describe the fluid-structure interaction between the carrier fluid and the cells, and the control is the electric power applied to the IDT.
KeywordsOptimal control Biological cell sorting Surface acoustic waves Finite element immersed boundary method
Mathematics Subject Classification (2010)Primary 65K10 Secondary 49M05 74F10
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