Table 1.
Simulations with Permeable Cylinders
| Summary of Configurations | |||||||
|---|---|---|---|---|---|---|---|
| Time-step (µs) | 0.1 | 1 | 10 | 100 | 1000 | 2000 | 5000 |
| Simulation Properties | |||||||
| Step Length (µm) | 0.035 | 0.11 | 0.35 | 1.10 | 3.46 | 3.90 | 7.75 |
| Percent collisions1(%) | 0.4 | 1.4 | 4.3 | 13.7 | 42.3 | 59.4 | 95.8 |
| Permeability of 0.005 cm/s | |||||||
| 5 ms Deviation2 (%) | - | 2.1 | 1.1 | 1.0 | 3.8 | 11.7 | 31.8 |
| 20 ms Deviation2 (%) | - | 1.0 | 0.9 | 0.8 | 2.8 | 4.9 | 4.9 |
| Permeability of 0.01 cm/s | |||||||
| 5 ms Deviation2 (%) | - | 2.1 | 1.3 | 1.9 | 4.5 | 14.8 | 34.6 |
| 20 ms Deviation2 (%) | - | 2.6 | 2.0 | 1.3 | 5.5 | 9.5 | 12.4 |
1
Empirically observed fraction of simulation steps which encountered a compartment boundary during the 5 ms experiment with permeability of 0.01.
2
Deviation percentages are calculated as the maximum absolute difference (between each time-step and that with a 0.1 µs time-step) divided by the maximum of the empirical probability density function with a 0.1 µs time-step.