Table 1.

Experimental Data for MS2 and Free Dye Diffusion Experiments

	$\mathit{\Delta }t$ [h]	${\varphi }_{out}^{\text{∗}}$	$S_{exp}^{\text{∗}}/{\varphi }_{in}^{\text{∗}}$ [m${\text{s}}^{-1}$]	$S_{exp}$	S (BD)
MS2 experiment 1	22.33	39.9 nM	4.61 E−7	8.71 E−4
MS2 experiment 2	22.15	48.4 nM	5.52 E−7	10.4 E−4
MS2 experiment 3	21.67	46.0 nM	5.36 E−7	10.1 E−4	8.53 E−4
MS2 experiment 4	21.50	57.4 nM	6.84 E−7	12.9 E−4	[7.74 E−4, 9.74 E−4]
Average	NA	NA	5.58 E−7 ± 9.27 E−8	10.6 E−4 ± 1.75 E−4
Dye experiment 1	1.17	3.24 μM	1.38 E−5	14.8 E−4
Dye experiment 2	1.00	3.91 μM	1.95 E−5	20.9 E−4
Dye experiment 3	1.08	2.85 μM	1.31 E−5	14.0 E−4	27.6 E−4
Dye experiment 4	1.00	2.92 μM	1.45 E−5	15.6 E−4
Average	NA	NA	1.52 E−5 ± 2.89 E−6	16.3 E−4 ± 3.09 E−4

Initially, the inlet concentration for MS2 is ${\varphi }_{in}^{\text{∗}}=600$ nM and for the free dye (Alexa Fluor 594) is ${\varphi }_{in}^{\text{∗}}=30\mu \text{M}$. The outlet concentrations shown are measured after the experiments. The results from BD simulations are also shown in the last column. For the MS2, the Sherwood numbers measured using BD simulations are also reported for slightly larger and slightly smaller pores, corresponding to ± one SD of the membrane pore radius as measured by SEM; these results are shown in square brackets.