Kinetic Analysis of Analyte Binding by Optical Biosensors: Hydrodynamic Penetration of the Analyte Flow into the Polymer Matrix Reduces the Influence of Mass Transport

I examined the penetration of the hydrodynamic flow into a polymer matrix immobilized by grafting to a surface, such as used in optical biosensors designed to measure binding reactions in real time. I show that the flow penetrates with an appreciable velocity into a region located at the tip of such a polymer brush, corresponding to about 10 to 15% of the total mass of the grafted polymer. Furthermore, under the conditions recommended for kinetic measurements, the concentrations of both polymer and immobilized ligands are low in these regions of the matrix, where crowding effects are negligible. Under such conditions, the hydrodynamic flow penetrating into the dextran matrix flow will bring the analytes close to their targets, thus considerably reducing transport problems.