Analytical electric field and sensitivity analysis for two microfluidic impedance cytometer designs

Area of Science:

• Electrical Engineering
• Biomedical Engineering
• Microfluidics

Background:

• Microfabricated impedance cytometers enable high-speed electrical impedance measurements of single biological particles.
• Accurate analytical solutions for electric field distributions are crucial for optimizing cytometer design.

Purpose of the Study:

• To present a systematic analytical approach for solving electric field distributions in two common microfabricated impedance cytometer designs.
• To compare the impedance sensitivity of parallel facing electrodes versus coplanar electrodes.

Main Methods:

• Utilized the Schwarz-Christoffel Mapping method for analytical solutions of electric field distributions.
• Validated analytical solutions against numerical simulations using the finite element method.
• Investigated the impact of geometric variations on electric field distribution.

Main Results:

• Developed straightforward and systematic analytical solutions for electric field distributions.
• Confirmed that parallel electrode designs exhibit higher impedance sensitivity than coplanar designs for identical geometries.
• Demonstrated the influence of device geometry on electric field distribution.

Conclusions:

• The Schwarz-Christoffel Mapping method provides an effective analytical tool for microfabricated impedance cytometer design.
• Parallel electrode configurations are superior to coplanar configurations for enhanced impedance sensitivity in cytometers.
• This work offers a foundation for optimizing microfluidic devices for high-speed particle analysis.