Table 1.
Equivalent circuit elements, their boundaries, and average fitted values for each skin treatment, at t0, tmid, and tf. The range for each parameter was determined based on values in literature [4,17], as well as considering the total impedance (see Equation (1) and Figure 2b). Values are reported as avg. ± std. dev. across N = 14 subjects.
|
Rsub [kΩ cm2] |
Repi [kΩ cm2] |
Cepi [nF cm−2] |
Rgel [kΩ cm2] |
Rct [kΩ cm2] |
Cdl [nF cm−2] |
Model Fit (×102) |
||
|---|---|---|---|---|---|---|---|---|
|
Lower-Upper
Parameter bounds |
0.05–5.00 | 0.10–500 | 0.10–500 | 0.05–5.00 | 0.5–5.0 × 103 | 1.0–1.0 × 105 | — | |
| No Treatment | t 0 | 0.71 ± 0.16 | 86.38 ± 29.43 | 242.62 ± 148.41 | 0.87 ± 0.46 | (1.31 ± 1.27) × 103 | 5.38 ± 2.19 | 3.75 ± 0.71 |
| tmid | 0.74 ± 0.19 | 47.07 ± 33.09 | 27.98 ± 26.86 | 1.07 ± 0.90 | 147.93 ± 101.27 | 63.42 ± 25.62 | 2.18 ± 1.85 | |
| tf | 0.71 ± 0.20 | 40.90 ± 30.70 | 34.70 ± 19.11 | 0.72 ± 0.42 | 66.54 ± 31.96 | 36.29 ± 15.24 | 3.09 ± 0.84 | |
| Abrasive Tape | t 0 | 0.70 ± 0.20 | 6.61 ± 5.02 | 4.95 ± 3.73 | 0.59 ± 0.13 | 2.90 ± 2.39 | 7.00 ± 2.90 | 2.97 ± 0.75 |
| tmid | 0.72 ± 0.18 | 1.80 ± 1.45 | 8.49 ± 2.46 | 0.59 ± 0.11 | 3.30 ± 2.66 | 10.50 ± 6.56 | 0.27 ± 0.08 | |
| tf | 0.67 ± 0.22 | 2.27 ± 1.39 | 28.28 ± 20.65 | 0.76 ± 0.48 | 1.26 ± 0.49 | 12.23 ± 4.27 | 0.36 ± 0.18 | |
| Salicylic Acid | t 0 | 0.79 ± 0.14 | 69.43 ± 30.09 | 97.63 ± 76.73 | 0.65 ± 0.14 | 675.80 ± 501.10 | 9.97 ± 5.40 | 4.72 ± 0.97 |
| tmid | 0.77 ± 0.18 | 48.39 ± 32.86 | 47.81 ± 27.09 | 1.17 ± 1.02 | 17.67 ± 14.97 | 9.88 ± 9.54 | 0.97 ± 0.05 | |
| tf | 0.77 ± 0.16 | 35.97 ± 33.36 | 44.74 ± 31.84 | 1.36 ± 1.18 | 12.76 ± 9.71 | 7.70 ± 3.40 | 1.15 ± 0.49 | |
| µNeedle Array | t 0 | 0.81 ± 0.14 | 81.56 ± 31.34 | 29.46 ± 22.32 | 0.67 ± 0.17 | 807.42 ± 394.97 | 5.05 ± 2.17 | 4.15 ± 1.40 |
| tmid | 0.74 ± 0.18 | 46.50 ± 35.41 | 24.59 ± 21.80 | 1.19 ± 1.09 | 92.16 ± 60.74 | 9.50 ± 5.52 | 2.62 ± 1.34 | |
| tf | 0.71 ± 0.16 | 35.36 ± 32.01 | 33.65 ± 28.34 | 0.91 ± 0.67 | 72.29 ± 30.89 | 5.38 ± 2.19 | 1.22 ± 0.40 | |