A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices

In this work, we introduce an enhanced Finite Volume Method (FVM) designed for the quasi-electrostatic analysis of microfluidic devices in the frequency domain. Addressing the critical need for accurate modeling of double-layer capacitances at electrode-electrolyte interfaces, we propose a novel app...

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Main Authors: Milan Rother, Liubov Bakhchova, Vadim Issakov
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Heliyon
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Online Access:http://www.sciencedirect.com/science/article/pii/S2405844025014471
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author Milan Rother
Liubov Bakhchova
Vadim Issakov
author_facet Milan Rother
Liubov Bakhchova
Vadim Issakov
author_sort Milan Rother
collection DOAJ
description In this work, we introduce an enhanced Finite Volume Method (FVM) designed for the quasi-electrostatic analysis of microfluidic devices in the frequency domain. Addressing the critical need for accurate modeling of double-layer capacitances at electrode-electrolyte interfaces, we propose a novel approach for interface capacitance insertion. This is pivotal for impedance spectroscopy applications in microfluidic devices where such interfaces are present. By leveraging Quad-Tree meshing, our method adeptly manages the substantial geometrical scale variations inherent in microfluidic channels. This integration allows for efficient computation of multi-port impedances, facilitating the comprehensive evaluation of electrical parameters within these devices. Our approach not only bridges the gap left by traditional FVM and commercial software but also provides a robust framework for design space exploration and optimization of microfluidic structures and electrode geometries. The effectiveness of the proposed method is demonstrated through numerical convergence analysis and practical application to a microfluidic channel cross-section for measurement of transepithelial electrical resistance (TEER), showcasing its potential for advancing biomedical device simulations.
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spelling doaj-art-dbc2fd1ba5ff4f20bd6fbf2cccd4f11f2025-08-20T03:02:18ZengElsevierHeliyon2405-84402025-03-01116e4306610.1016/j.heliyon.2025.e43066A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devicesMilan Rother0Liubov Bakhchova1Vadim Issakov2Corresponding author.; Institute for CMOS Design, Braunschweig University of Technology, Hans-Sommer-Strasse 66, Braunschweig, 38106, GermanyInstitute for CMOS Design, Braunschweig University of Technology, Hans-Sommer-Strasse 66, Braunschweig, 38106, GermanyInstitute for CMOS Design, Braunschweig University of Technology, Hans-Sommer-Strasse 66, Braunschweig, 38106, GermanyIn this work, we introduce an enhanced Finite Volume Method (FVM) designed for the quasi-electrostatic analysis of microfluidic devices in the frequency domain. Addressing the critical need for accurate modeling of double-layer capacitances at electrode-electrolyte interfaces, we propose a novel approach for interface capacitance insertion. This is pivotal for impedance spectroscopy applications in microfluidic devices where such interfaces are present. By leveraging Quad-Tree meshing, our method adeptly manages the substantial geometrical scale variations inherent in microfluidic channels. This integration allows for efficient computation of multi-port impedances, facilitating the comprehensive evaluation of electrical parameters within these devices. Our approach not only bridges the gap left by traditional FVM and commercial software but also provides a robust framework for design space exploration and optimization of microfluidic structures and electrode geometries. The effectiveness of the proposed method is demonstrated through numerical convergence analysis and practical application to a microfluidic channel cross-section for measurement of transepithelial electrical resistance (TEER), showcasing its potential for advancing biomedical device simulations.http://www.sciencedirect.com/science/article/pii/S2405844025014471FVMFinite volume methodQuasi-electrostaticDouble-layerTEERQuad-tree
spellingShingle Milan Rother
Liubov Bakhchova
Vadim Issakov
A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices
Heliyon
FVM
Finite volume method
Quasi-electrostatic
Double-layer
TEER
Quad-tree
title A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices
title_full A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices
title_fullStr A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices
title_full_unstemmed A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices
title_short A finite volume method with interface capacitance insertion on quad-tree meshes for impedance analysis in microfluidic devices
title_sort finite volume method with interface capacitance insertion on quad tree meshes for impedance analysis in microfluidic devices
topic FVM
Finite volume method
Quasi-electrostatic
Double-layer
TEER
Quad-tree
url http://www.sciencedirect.com/science/article/pii/S2405844025014471
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