Overview

This thesis explores the impact of surface heterogeneities on colloidal interactions and translates concepts to biointerfacial systems, for instance, microfluidic and biomedical devices. The thesis advances a model system, originally put forth by Kozlova: Tunable electrostatic surface heterogeneity is produced by adsorbing small amounts of cationic polyelectrolyte on a silica flat. The resulting positive electrostatic patches possess a density that is tuned from a saturated carpet down to average spacings on the order of a few hundred nanometers. At these length-scales, multiple adhesive elements (from tens to thousands) are present in the area of contact between a particle and a surface, a distinguishing feature of the thesis. Much of the literature addressing surface heterogeneity engineers surfaces with micron-scale features, almost always larger than the contact area between a particle and a second surface. With a nanoscale heterogeneity model, this thesis reports and quantitatively explains particle interaction behavior not typical of homogeneous interfaces. This includes (1) an adhesion threshold, a minimum average surface density of cationic patches needed for particle capture, (previously observed by Kozlova); (2) a crossover, from salt-destabilized to salt-stabilized interactions between heterogeneous surfaces with net-negative charge; (3) a shift of the adhesion threshold with shear, reducing adhesion; (4) a crossover from shear-enhanced to shear-hindered particle adhesion; (5) a range of surface compositions and processing parameters that sustain particle rolling; and (6) conditions where particles arrest immediately on contact. Through variations in ionic strength and particle size, the particle-surface contact area is systematically varied relative to the heterogeneity lengthscale. This provides a semi-quantitative explanation for the shifting of the adhesion threshold, in terms of the statistical probability of a particle being able to find a surface region sufficiently attractive for capture. Though neglecting hydrodynamics, the resulting (kappa-1a)1/2 power law scaling for the density of patches at the adhesion threshold roughly captures the general shape of the data. The study also reveals that at high ionic strength, particle-surface interactions are most influenced by the patchy surface heterogeneity; however, at low ionic strengths, the system becomes most sensitive to the average system properties. Thus for heterogeneous interfaces, the extent to which heterogeneity is influential depends on other factors (particle size, ionic strength). While this comprises a crossover from heterogeneity-dominated to mean field behavior, it is worth noting that even in the mean field regime, the spacing between patches always exceeds the Debye length, making the regions of different surface charge always distinct. Comparison with the simulations of Duffadar and Davis reveals that the criterion for particle capture is a nearly constant number of cationic patches per unit area of contact between a particle and a heterogeneous collector. The heterogeneous surface model displays a shear crossover seen with bacteria and other complex systems: At low shear, particle capture is enhanced, while at higher shears it is reduced. This behavior, sometimes rationalized in terms of the complex energy landscapes of biological bonds, is clearly explained in the heterogeneity model. For weakly adhesive systems engaging only a few adhesive elements or receptors, shear compromises the ability of a few bonds to capture particles. For more strongly adhesive systems, shear increases particle transport. The convolution of this competition leads...

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