Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting
Dielectrophoresis is defined as the motion of an electrically polarisable particle in a non-uniform electric field. Current dielectrophoretic devices enabling sorting of cells are mostly controlled in open-loop applying a predefined voltage on micro-electrodes. Closed-loop control of these devices w...
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| Format: | Article |
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MDPI AG
2017-08-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/8/8/253 |
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| author | Vladimir Gauthier Aude Bolopion Michaël Gauthier |
| author_facet | Vladimir Gauthier Aude Bolopion Michaël Gauthier |
| author_sort | Vladimir Gauthier |
| collection | DOAJ |
| description | Dielectrophoresis is defined as the motion of an electrically polarisable particle in a non-uniform electric field. Current dielectrophoretic devices enabling sorting of cells are mostly controlled in open-loop applying a predefined voltage on micro-electrodes. Closed-loop control of these devices would enable to get advanced functionalities and also more robust behavior. Currently, the numerical models of dielectrophoretic force are too complex to be used in real-time closed-loop control. The aim of this paper is to propose a new type of models usable in this framework. We propose an analytical model of the electric field based on Fourier series to compute the dielectrophoretic force produced by parallel electrode arrays. Indeed, this method provides an analytical expression of the electric potential which decouples the geometrical factors (parameter of our system), the voltages applied on electrodes (input of our system), and the position of the cells (output of our system). Considering the Newton laws on each cell, it enables to generate easily a dynamic model of the cell positions (output) function of the voltages on electrodes (input). This dynamic model of our system is required to design the future closed-loop control law. The predicted dielectrophoretic forces are compared to a numerical simulation based on finite element model using COMSOL software. The model presented in this paper enables to compute the dielectrophoretic force applied to a cell by an electrode array in a few tenths of milliseconds. This model could be consequently used in future works for closed-loop control of dielectrophoretic devices. |
| first_indexed | 2024-12-20T00:21:05Z |
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| id | doaj.art-6775e390de6f41b69ba8192f2b873c89 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-12-20T00:21:05Z |
| publishDate | 2017-08-01 |
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| series | Micromachines |
| spelling | doaj.art-6775e390de6f41b69ba8192f2b873c892022-12-21T20:00:11ZengMDPI AGMicromachines2072-666X2017-08-018825310.3390/mi8080253mi8080253Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell SortingVladimir Gauthier0Aude Bolopion1Michaël Gauthier2FEMTO-ST Institute, AS2M Department, Univ Bourgogne Franche-Comté, CNRS, 24 rue Alain Savary, 25000 Besancon, FranceFEMTO-ST Institute, AS2M Department, Univ Bourgogne Franche-Comté, CNRS, 24 rue Alain Savary, 25000 Besancon, FranceFEMTO-ST Institute, AS2M Department, Univ Bourgogne Franche-Comté, CNRS, 24 rue Alain Savary, 25000 Besancon, FranceDielectrophoresis is defined as the motion of an electrically polarisable particle in a non-uniform electric field. Current dielectrophoretic devices enabling sorting of cells are mostly controlled in open-loop applying a predefined voltage on micro-electrodes. Closed-loop control of these devices would enable to get advanced functionalities and also more robust behavior. Currently, the numerical models of dielectrophoretic force are too complex to be used in real-time closed-loop control. The aim of this paper is to propose a new type of models usable in this framework. We propose an analytical model of the electric field based on Fourier series to compute the dielectrophoretic force produced by parallel electrode arrays. Indeed, this method provides an analytical expression of the electric potential which decouples the geometrical factors (parameter of our system), the voltages applied on electrodes (input of our system), and the position of the cells (output of our system). Considering the Newton laws on each cell, it enables to generate easily a dynamic model of the cell positions (output) function of the voltages on electrodes (input). This dynamic model of our system is required to design the future closed-loop control law. The predicted dielectrophoretic forces are compared to a numerical simulation based on finite element model using COMSOL software. The model presented in this paper enables to compute the dielectrophoretic force applied to a cell by an electrode array in a few tenths of milliseconds. This model could be consequently used in future works for closed-loop control of dielectrophoretic devices.https://www.mdpi.com/2072-666X/8/8/253dielectrophoresismicromanipulationfourier serieselectrode arraycell sorting |
| spellingShingle | Vladimir Gauthier Aude Bolopion Michaël Gauthier Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting Micromachines dielectrophoresis micromanipulation fourier series electrode array cell sorting |
| title | Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting |
| title_full | Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting |
| title_fullStr | Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting |
| title_full_unstemmed | Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting |
| title_short | Analytical Formulation of the Electric Field Induced by Electrode Arrays: Towards Automated Dielectrophoretic Cell Sorting |
| title_sort | analytical formulation of the electric field induced by electrode arrays towards automated dielectrophoretic cell sorting |
| topic | dielectrophoresis micromanipulation fourier series electrode array cell sorting |
| url | https://www.mdpi.com/2072-666X/8/8/253 |
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