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.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Thomas FrankeGND, Ronald H. W. HoppeGND, Christopher LinsenmannGND, Lothar Schmid, Achim WixforthORCiDGND
URN:urn:nbn:de:bvb:384-opus4-24564
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/2456
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2013-17)
Type:Preprint
Language:English
Publishing Institution:Universität Augsburg
Release Date:2013/09/12
Tag:optimal control; cell sorting; surface acoustic waves; finite element immersed boundary method
GND-Keyword:Optimale Kontrolle; Zellfraktionierung; Mikrofluidik; Mathematische Modellierung; Bio-MEMS; Akustische Oberflächenwelle; Finite-Elemente-Methode
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Experimentalphysik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht mit Print on Demand