Described are apparatus and methods allowing measurement of adsorption and desorption of analytes with membranes or resins directly using increased lateral mass transport. Such increased lateral mass transport may be accomplished through the incorporation of a porous media, such as a fibrous bed or a concentrated bed of spheres, into said flow cell. Further described is a method of determining if a flow cell would benefit from increased lateral mass transport comprising comparing the rate of surface reaction to the mass transfer coefficient for a given analyte. The detection method for the measurement of adsorption and desorption of analytes may be based on the evanescent wave phenomenon at total internal reflection, such as surface plasmon resonance (SPR), critical angle refractometry, total internal reflection fluorescence (TIRF), total internal reflection phosphorescence, total internal reflection light scattering, optical waveguide fluorescence, evanescent wave. ellipsometry, nuclear magnetic resonance (NMR) spectroscopy, quartz crystal microbalance/dissipation, calorimetry, ellipsometry, and voltammetry.