Using two-photon confocal microscopy, equilibrium partition
coefficients, k, were measured for aqueous Na-fluorescein,
fluorescently
labeled dextrans with molecular masses ranging from 4 to 20 kDa, two
fluorescently labeled proteins with opposite charges, anionic bovine
serum albumin (BSA), and cationic avidin in anionic 70 wt % hydroxyethyl
methacrylate (HEMA)/30 wt % methacrylic acid (MAA) gels saturated
with aqueous phosphate buffer solution. Cross-linking density with
ethylene glycol–dimethacrylate (EGDMA) ranged from 0 to 1 wt
%. All partition coefficients, except for avidin, were considerably
less than unity and diminished strongly with increasing Stokes–Einstein
diameter of the free aqueous solute. The average mesh size of the
wet gels, obtained from the zero-frequency oscillatory shear-storage
gel modulus, ranged from 3.6 to 8.3 nm over the cross-link ratios
studied. Except for Na-fluorescein, solute hydrodynamic diameters
were larger than the smallest average gel mesh size. Yet, all solutes
permeated the gels but with small partition coefficients less than
about 0.001 for the largest diameter solutes in the small mesh size
gels. To express deviation from ideal partitioning, we define an enhancement
(or exclusion) factor, E ≡ k/(1 – φ), where φ is the polymer volume fraction
in the gel and E is unity for point solutes. A hard-sphere
excluded-volume Ogston mesh size distribution is adopted to predict a priori the measured enhancement factors as a function
of average gel mesh size for those solutes that do not interact specifically
with the anionic gel (i.e., for solutes with E <
1). Agreement between the extended Ogston distribution and experiment
is qualitative for both enhancement factors and water content of the
gels. The cationic protein, Fl-avidin, exhibits a large enhancement
factor in the anionic gels due to strong specific interaction with
the charged carboxylate groups of MAA. In this case, consideration
must be given to both hard-sphere size exclusion and specific complexation
with the polymer strands.