Convection effects in the BIAcore dextran layer: surface reaction model

The BIAcore is a surface plasmon resonance (SPR) device used to measure rate constants, primarily for biochemical reactions. It consists of a flow channel containing one reactant adjoining a dextran gel containing the other. In order to explain anomalous measurements from the device, it has been proposed that some flow penetrates into the dextran layer, thus enhancing transport. A model is presented that accounts for such behavior, and typical velocity fields in the dextran are constructed. The system is analyzed in the limit of the surface reaction model, which corresponds to the limit of thin dextran layers. Asymptotic and singular perturbation techniques are used to analyze association and dissociation kinetics. Linear and nonlinear integral equations result from the analysis; explicit and asymptotic solutions are constructed for physically realizable cases. The results indicate that the effects of such penetration are bound to be small, regardless of the flow model used.