Table 2: Summary of seven insets in Figure 4. Other unlisted parameters used in all the seven cases are: DECS = 367 µm2/s, DMEM = 108 µm2/s, µ = 0.09 cp.
Numerical error analysis, symbols referred to Eq. (7)-(15) | Description | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
r21
r32 |
Relative recovery | Time to reach steady state | ||||||||||||
Data point in Figure 4 | L (µm) | H (µm) | DCHM (µm2/s) | V0 (µm/s) |
rr1 rr2
rr3 |
p |
(%) |
GCI21
GCI32 (%) |
ss1 ss2 ss3 (s) |
p |
(%) |
GCI21
GCI32 (%) |
||
(1) | 60 | 60 | 3000 | 120 | 1.30 | 0.672 | 3.20 | 9.5 | 13.1 | 2.506 | 5.34 | 14.2 | 6.7 | Relative recovery predictable by Eq. (6). The diffusivity is compatible to the flow speed. Microdialysis is in an optimal condition in which analytes are recovered the most efficiently. |
1.21 | 0.608 | 13.9 | 35.4 | 2.151 | 16.5 | 1.8 | ||||||||
0.524 | 20.9 | 2.506 | 2.6 | |||||||||||
0.394 | 2.440 | |||||||||||||
(2) | 30 | 30 | 800 | 500 | 1.23 | 0.182 | 17.85 | 0.0 | 0.0 | 0.959 | 3.12 | 11.6 | 18.1 | |
1.27 | 0.182 | 0.49 | 0.49 | 0.878 | 13.1 | 8.4 | ||||||||
0.183 | 27.9 | 0.959 | 7.4 | |||||||||||
0.131 | 1.031 | |||||||||||||
(3) | 200 | 60 | 1200 | 1200 | 1.22 | 0.055 | 3.84 | 9.9 | 13.6 | 0.977 | 14.88 | 2.6 | 0.2 | |
1.22 | 0.049 | 12.6 | 33.5 | 0.952 | 2.7 | 3.4 | ||||||||
0.043 | 30.2 | 0.977 | 47.7 | |||||||||||
0.030 | 1.443 | |||||||||||||
(4) | 30 | 14 | 1200 | 300 | 1.16 | 0.335 | 1.16 | 1.3 | 1.8 | 0.684 | 10.94 | 26.8 | 11.5 | Fast diffusivity and slow perfusion. Analytes spend longer than necessary in the chamber, resulting in a higher recovery. |
1.26 | 0.331 | 3.3 | 6.1 | 0.501 | 36.5 | 1.7 | ||||||||
0.320 | 27.8 | 0.684 | 15.6 | |||||||||||
0.231 | 0.791 | |||||||||||||
(5) | 60 | 60 | 3000 | 600 | 1.22 | 0.478 | 3.47 | 9.9 | 13.8 | 2.146 | 2.93 | 15.3 | 28.3 | |
1.22 | 0.430 | 11.1 | 31.2 | 1.817 | 18.1 | 13.6 | ||||||||
0.383 | 24.3 | 2.146 | 8.5 | |||||||||||
0.289 | 1.964 | |||||||||||||
(6) | 15 | 15 | 600 | 400 | 1.23 | 0.090 | 14.11 | 0.1 | 0.15 | 0.379 | 4.14 | 14.2 | 15.4 | Relatively fast perfusion causes a low relative recovery. |
1.24 | 0.090 | 2.1 | 2.71 | 0.325 | 16.6 | 5.6 | ||||||||
0.092 | 43.2 | 0.379 | 6.4 | |||||||||||
0.052 | 0.403 | |||||||||||||
(7) | 50 | 40 | 760 | 2 | 1.18 | 0.612 | 2.59 | 10.6 | 14.8 | 2.481 | 6.64 | 3.1 | 2.0 | Analytes are recovered under a nearly stationary flow. |
1.21 | 0.547 | 6.3 | 24.1 | 2.561 | 3.0 | 0.7 | ||||||||
0.513 | 12.2 | 2.483 | 1.4 | |||||||||||
0.450 | 2.449 |