Abstract
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.
The authors acknowledge support by the German National Science Foundation DFG within the DFG Priority Program SPP 1253 ‘Optimization with Partial Differential Equations’. The second author also acknowledges partial support by the National Science Foundation NSF (DMS-0914788 and DMS-1115658), the German Federal Ministry for Education and Research BMBF within the collaborative research projects ‘FROPT’ and ‘MeFreSim’, and the European Science Foundation ESF within the program ‘OPTPDE’.
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Franke, T., Hoppe, R.H.W., Linsenmann, C., Schmid, L., Wixforth, A. (2014). Optimal Control of Surface Acoustic Wave Actuated Sorting of Biological Cells. In: Leugering, G., et al. Trends in PDE Constrained Optimization. International Series of Numerical Mathematics, vol 165. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-05083-6_32
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DOI: https://doi.org/10.1007/978-3-319-05083-6_32
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