Table 3.
Predicted [obtained from Eqs. (41–48), and correction factor from Table 1] and actual values for the concentrations of all biomarkers based on the expanded model for CTA and PAES-PVP membranes.
| Qb (mL/min) | Time (min) | Membrane | C5a | IL-1β | IL-1α | IL-6 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Predicted* | Actual | %error | Predicted* | Actual | %error | Predicted* | Actual | %error | Predicted* | Actual | %error | |||
| 300 | 30 | CTA | 8.39E + 04 | 9.23E + 04 | 9.1 | 2.8 | 2.8 | 1.3 | 1.2 | 1.3 | 1.8 | 3.0 | 3.1 | 3.3 |
| 300 | 30 | CTA | 8.39E + 04 | 4.92E + 04 | 70.3 | 2.8 | 3.0 | 7.1 | 1.2 | 1.1 | 16.3 | 3.0 | 1.2 | 148.5 |
| 300 | 30 | CTA | 8.39E + 04 | 1.35E + 05 | 38.0 | 2.8 | 2.6 | 5.2 | 1.2 | 1.5 | 15.0 | 3.0 | 4.9 | 40.0 |
| 300 | 30 | PAES | 7.79E + 04 | 6.49E + 04 | 20.0 | 2.7 | 2.7 | 1.1 | 0.7 | 0.6 | 4.8 | 2.3 | 2.2 | 1.3 |
| 300 | 30 | PAES | 7.79E + 04 | 8.00E + 04 | 2.6 | 2.7 | 2.8 | 2.4 | 0.7 | 0.6 | 4.8 | 2.3 | 1.4 | 57.6 |
| 300 | 30 | PAES | 7.79E + 04 | 4.98E + 04 | 56.3 | 2.7 | 2.6 | 4.9 | 0.7 | 0.6 | 4.8 | 2.3 | 3.0 | 25.3 |
| 200 | 90 | PAES | 4.94E + 04 | 1.40E + 04 | 253.4 | 2.7 | 2.5 | 9.6 | 1.2 | 0.6 | 95.0 | 1.5 | 2.9 | 48.4 |
| 300 | 90 | CTA | 6.56E + 04 | 1.07E + 05 | 38.8 | 3.1 | 2.8 | 13.1 | 2.0 | 1.4 | 39.4 | 2.5 | 2.9 | 12.7 |
| 300 | 90 | PAES | 5.97E + 04 | 8.84E + 04 | 32.5 | 3.1 | 2.9 | 8.3 | 0.4 | 1.0 | 61.6 | 1.8 | 2.6 | 29.1 |
| 400 | 90 | PAES | 6.99E + 04 | 8.38E + 04 | 16.5 | 3.5 | 2.5 | 39.1 | − 0.5 | 2.3 | 122.7 | 2.2 | 10.5 | 79.3 |
| 500 | 90 | PAES | 8.02E + 04 | 8.92E + 04 | 10.1 | 3.9 | 2.8 | 40.1 | − 1.4 | 0.9 | 265.0 | 2.5 | 12.6 | 80.1 |
| 200 | 240 | PAES | 3.76E + 03 | 1.00E + 05 | 96.2 | 2.8 | 2.5 | 12.4 | 1.7 | 2.5 | 32.4 | 0.4 | 13.0 | 96.9 |
| 300 | 240 | PAES | 1.40E + 04 | 6.93E + 04 | 79.7 | 4.0 | 2.7 | 49.6 | − 0.4 | 1.6 | 125.3 | 0.7 | 2.3 | 68.4 |
| 300 | 240 | CTA | 2.00E + 04 | 9.85E + 04 | 79.7 | 4.1 | 2.4 | 72.2 | 4.0 | 2.5 | 57.8 | 1.4 | 2.9 | 51.5 |
| 400 | 240 | PAES | 2.43E + 04 | 1.28E + 05 | 81.0 | 5.2 | 2.6 | 101.9 | − 2.5 | 1.5 | 270.3 | 1.1 | 13.0 | 91.8 |
| 500 | 240 | PAES | 3.46E + 04 | 1.08E + 05 | 68.0 | 6.3 | 2.1 | 208.3 | − 4.5 | 1.8 | 350.7 | 1.4 | 13.2 | 89.3 |
| vWF | Serpin | Properdin | C5b-9 | |||||||||||
| Qb | Time | Membrane | Predicted* | Actual | %error | Predicted* | Actual | %error | Predicted* | Actual | %error | Predicted* | Actual | %error |
| 300 | 30 | CTA | 824.4 | 776.5 | 6.2 | 8.38E + 07 | 1.59E + 08 | 47.3 | 1.87E + 07 | 2.10E + 07 | 11.1 | 2834.8 | 2580.1 | 9.9 |
| 300 | 30 | CTA | 824.4 | 201.8 | 308.5 | 8.38E + 07 | 7.28E + 06 | 1050.5 | 1.87E + 07 | 1.29E + 07 | 44.8 | 2834.8 | 1254.1 | 126.1 |
| 300 | 30 | CTA | 824.4 | 1351.1 | 39.0 | 8.38E + 07 | 3.11E + 08 | 73.1 | 1.87E + 07 | 2.91E + 07 | 35.9 | 2834.8 | 3906.1 | 27.4 |
| 300 | 30 | PAES | 940.2 | 757.4 | 24.1 | 8.38E + 07 | 8.47E + 06 | 888.7 | 1.87E + 07 | 1.63E + 07 | 14.3 | 6223.3 | 6478.1 | 3.9 |
| 300 | 30 | PAES | 940.2 | 480.3 | 95.8 | 8.38E + 07 | 1.25E + 07 | 572.5 | 1.87E + 07 | 2.00E + 07 | 6.7 | 6223.3 | 5998.9 | 3.7 |
| 300 | 30 | PAES | 940.2 | 1034.5 | 9.1 | 8.38E + 07 | 4.49E + 06 | 1766.3 | 1.87E + 07 | 1.27E + 07 | 47.6 | 6223.3 | 6957.3 | 10.5 |
| 200 | 90 | PAES | 792.4 | 365.0 | 117.1 | − 2.28E + 08 | 1.07E + 08 | 313.5 | 2.18E + 07 | 9.14E + 06 | 138.1 | 6126.0 | 4073.5 | 50.4 |
| 300 | 90 | CTA | 824.4 | 939.8 | 12.3 | − 3.42E + 08 | 4.67E + 08 | 173.3 | 2.90E + 07 | 1.74E + 07 | 66.6 | 8819.3 | 2901.4 | 204.0 |
| 300 | 90 | PAES | 940.2 | 775.6 | 21.2 | − 3.42E + 08 | 2.11E + 07 | 1718.2 | 2.90E + 07 | 1.71E + 07 | 69.3 | 9085.6 | 8207.3 | 10.7 |
| 400 | 90 | PAES | 1087.9 | 681.3 | 59.7 | − 4.56E + 08 | 1.18E + 08 | 485.8 | 3.61E + 07 | 1.54E + 07 | 134.4 | 12,045.2 | 3851.6 | 212.7 |
| 500 | 90 | PAES | 1235.7 | 569.3 | 117.0 | − 5.69E + 08 | 8.96E + 07 | 735.3 | 4.33E + 07 | 1.71E + 07 | 152.7 | 15,004.7 | 7019.8 | 113.8 |
| 300 | 240 | CTA | 824.4 | 828.4 | 0.5 | − 1.41E + 09 | 5.71E + 08 | 346.2 | 5.46E + 07 | 2.05E + 07 | 166.4 | 15,975.0 | 2310.3 | 591.5 |
| 300 | 240 | PAES | 940.2 | 692.1 | 35.8 | − 1.41E + 09 | 2.65E + 08 | 630.4 | 5.46E + 07 | 1.81E + 07 | 202.3 | 16,241.3 | 6681.4 | 143.1 |
| 200 | 240 | PAES | 792.4 | 1388.9 | 42.9 | − 1.03E + 09 | 7.59E + 08 | 235.3 | 3.67E + 07 | 2.15E + 07 | 71.0 | 9983.2 | 7020.7 | 42.2 |
| 400 | 240 | PAES | 1087.9 | 1290.4 | 15.7 | − 1.79E + 09 | 3.39E + 07 | 5363.9 | 7.25E + 07 | 1.35E + 07 | 438.0 | 22,499.5 | 3801.4 | 491.9 |
| 500 | 240 | PAES | 1235.7 | 1263.2 | 2.2 | − 2.17E + 09 | 1.45E + 08 | 1597.6 | 9.04E + 07 | 1.18E + 07 | 666.1 | 28,757.7 | 6575.3 | 337.4 |
*Predicted values obtained with the affinity-based model (Eqs. 41–48). Similar results are obtained if any of the models are used within the experimental range defined. The responses obtained using different models differ between 0 and 2% on average.