I measured impedance between 2 planar gold electrodes inside a microchannel filled with medium for cell culture. Which electrical elements should I put in the circuit and how are they connected together? Should I use Randles circuit for this system?
Hi Heidi. Thank you so much for your comments. Could I send you some my measured results and discuss with you about them? Do you know about "Restricted diffusion"?
For circuit models of the electrodes, you might want to look at the following papers by Yuri Feldman et al.: "Fractal-polarization correction in time domain dielectric spectroscopy" (Physical Review E, 1998) and "Electrode polarization correction in time domain dielectric spectroscopy" (Measurement Science and Technology, 2001).
If you have a dilute suspension of cells/particles in between the electrodes, Maxwell's Mixture Equation is the way to go and the paper Heidi mentioned is an excellent reference. If you have a dense suspension there's some other equations that are reviewed in Koji Asami's 2002 article in Progress in Polymer Science: "Characterization of heterogeneous systems by dielectric spectroscopy".
I am not familiar with microchannels with fluids and cells. For electrode systems and MEMS I generally start to measure the empty system. And also the cables to the system (open, shorted, and with a know resistor) are measured separately. To verify this, we replace the short cable by a long one and check its effect against the model. (Last month we found a defect in our standard coax cable....) So you build the electrically equivalent model in steps and check every step before adding the next one. I can imagine that you put the liquid in it as a separate step, and finally the cells.