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Applied Biophysics ECIS Real Time Cell Growth Monitoring The ECIS™ Model
We can apply
a mathematical model of the impedance changes due to the presence of a cell
layer, where the impedance data can be used to calculate cell morphological
parameters including the barrier function of the cell layer, the spacing between
the ventral side of the cell and the substratum, and the cell membrane
capacitance. If you wish to study this approach in detail, we suggest you
consult the PNAS paper [Giaever and Keese, PNAS 88, 7896 (1991) ] where the
model is developed and the equations that describe it solved. In this paper the
validity of the model is also confirmed by comparing calculated values of
resistance and capacitance of cell-covered electrodes with those measured using
ECIS over a three magnitudes of AC frequency (100 to 100,000 Hz). A brief
description of that model and its use is described below; we hope this will give
you an understanding of some of the key points.
Cells modeled as disks Since the focal adhesion plaques of cells represent a very small fraction of the total ventral surface of the spread cell, we treat the cells as hovering a small distance above the electrode which serves as their substratum. In calculating how the impedance changes due to this cell coverage, we assume that the resistance and capacitance of the gold surface itself does not change but that the measured capacitance and resistance change because the cells alter the path of the current flow. The main source of the impedance change can be attributed to the fact that some current must flow through the narrow spaces between the ventral surface of the cells and the electrode, and that current flows out through the narrow spaces between the cells (barrier resistance). AC current can pass directly through the cells since their insulating membranes serve as capacitors themselves. The model determines three parameters by fitting the theory to the experimental curves.
• One is the
barrier resistance, Rb, which can range from 0 to approximately 100ohm-squared
or more. This is an important parameter for studies of endothelial and
epithelial cells.
• Finally,
using measurements of the cell-covered electrode at different frequencies, it
is possible to determine the average capacitance of the cell plasma membranes,
Cm.
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