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$$\longleftharp{xx}$$,
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The schematic results of electrical impedance spectroscopy through a chip without cells (solid line) and through a cellular barrier (dashed line) are shown in Figure 2A. Four main regions can be identified, each dominated by a specific electrical component. Below approximately 1 kHz, the double layer capacitance at the electrode-culture medium interface dominates, characterized by a negative slope for impedance magnitude and a phase shift approaching -90°. The frequency at which the double layer capacitance dominates, depends on the electrode area exposed to culture medium. The resistive plateau above 1 kHz (without cells) or 100 kHz (with cells) with a phase shift close to 0°, corresponds to the resistance of the culture medium inside the microfluidic channels, depending on channel length and cross-sectional area, and inside the membrane, depending on the porosity and thickness. When measuring through a cellular barrier, an extra resistive plateau between 1 and 10 kHz is seen as well as a local maximum in the phase diagram. This region is of critical importance for the determination of the TEER as a clear increase in impedance results when cells are present in the measured path, and is therefore termed the "region of interest". The extra slope between 10 and 100 kHz corresponds to the cell barrier capacitance, which arises from the electrically insulating lipid bilayer membranes and is dependent on the total area of the cell layer.27 The boundaries of these regions as well as the impedance magnitudes depend on the system being studied and change with, among other things, channel dimensions, culture medium conductivity, electrode position and cell type. For further reading about the theory and practice of electrical impedance spectroscopy on barrier-forming tissues the review article by Benson et al. is recommended.28
Representative data of the TEER measurements is shown for both a blank chip and a chip with a hCMEC/D3 brain endothelial cell layer in Figure 2E and 2F, respectively. In short, impedance spectroscopy was performed using six measurements with four electrodes: two measurements through cell culture medium-filled channels (solid lines) and four measurements through the channels as well as the membrane and - if present - the cellular barrier (dashed lines). These six measurement paths can be identified in the equivalent resistive circuit of Figure 2B, which is derived from the schematic cross section (Figure 2C) and top view (Figure 2D). The blank chip measurements (Figure 2E) show the typical shape of impedance spectra without cells, as illustrated in Figure 2A. The measurements through the cellular barrier (dashed lines in Figure 2F) resemble the typical impedance spectra with cells in Figure 2A. Note that both the impedance magnitude and the phase shift increase towards 1 MHz. This is the typical response of the measurement setup at high frequencies and is not of experimental origin.
To determine the TEER using these experimental impedance spectra, first the measured chip resistance is determined, which is the total resistance of the cell layer, channels and membrane. To this end, a suitable readout frequency in the region of interest was chosen, which is at the local maximum in the phase plot with cells and close to 0° phase shift without cells: 10 kHz. With the six measured resistances at 10 kHz, as measured between the four electrodes, the TEER is directly calculated using the equation in Figure 2F.
To show that the presented device is suitable for determining TEER in organs-on-chips, the BBB was replicated inside the chip and its TEER was monitored during 3 days of culture. In Figure 3A the average TEER ± standard error of the mean (SEM) is shown for four BBBs-on-chips, resulting in a plateau of 22 ± 1.3 Ω cm2, which is comparable to the TEER of this cell line as reported in literature.29 Furthermore, after termination of the experiment and fluorescence staining of the nuclei, it can be seen that the brain endothelium formed a continuous monolayer inside the device (Figure 3B). Immunofluorescence staining of tight junction protein Zonula Occludens-1 (ZO-1) showed that the brain endothelial cells maintained their BBB-specific phenotype and formed tight junctional complexes.

Figure 1: Design and assembly of the organ-on-chip device with integrated electrodes.
(A) Exploded view of the microfluidic chip, consisting of a top PDMS part with the top channel (TC), a membrane (M) and a bottom PDMS part with the bottom channel (BC). Four platinum wire electrodes (E1-4) are inserted and fixed in the side channels. In the top channel and on top of the membrane, hCMEC/D3 brain endothelial cells were cultured to replicate the BBB. (B) Assembled chip, fixed to a plastic dish. Reprinted and adapted with permission from Elsevier.16 Please click here to view a larger version of this figure.

Figure 2: Representative impedance data and determination of TEER.
(A) Schematic impedance spectrum showing impedance magnitude (Ω) and phase shift (°) versus frequency (Hz), typical for electrical impedance spectroscopy on chips without cells (solid line) and with cells (dashed line). There are four main regions, each dominated by: the double layer capacitance at the electrodes, the culture medium resistance, the cell barrier resistance and the cell membrane capacitance. The "region of interest" indicates where the contribution of the cell layer can be quantified (red arrow). (B) Equivalent resistive circuit of the chip, showing the top channel resistors R1 and R3, the bottom channel resistors R2 and R4 and the membrane and EC barrier resistor Rm. (C) Schematic cross section showing the endothelial cells (EC) cultured in the top channel. (D) Schematic top view of the BBB chip showing the configuration of the electrodes and the culture area of 0.25 mm2 through which the impedance is measured. (E) Representative impedance spectra of a blank chip filled with cell culture medium. (F) Representative impedance spectra of a chip in which hCMEC/D3 brain endothelial cells were culture for 3 days. (G) Formula to calculate TEER from the measured resistances between all six combinations of four electrodes. Reprinted and adapted with permission from Elsevier.16 Please click here to view a larger version of this figure.

Figure 3: Representative TEER development of BBB-on-chip.
(A) Average TEER ± standard error of the mean (SEM) of four BBBs-on-chips during a culture period of three days, reaching a plateau at 22 ± 1.3 Ω cm2 (average ± SEM). For comparison, data of blank chips is included, showing marginal variation and deviation from 0 Ω cm2 in the same period compared to the variation and TEER value of chips with cells. (B) Fluorescence microscopy of stained nuclei revealed a continuous monolayer of endothelium, both on PDMS and the membrane at the location indicated in the inset. (C) Immunofluorescence revealed the presence of tight junction protein Zonula Occludens-1, indicating that BBB-specific tight junctions between the cells give rise to the measured TEER. Reprinted and adapted with permission from Elsevier.16 Please click here to view a larger version of this figure.