文摘
This work is focused on mathematical modeling of reaction-transport processes in a microdevice for immunoassay. A mathematical model of a four-layer microdevice for a multiple enzyme-linked immunosorbent assay (ELISA) analysis in a serial configuration is proposed. Effects of electrokinetic transport and some significant parameters (e.g. antibody effective diffusivity/mobility, convective velocity, fixed charge in a porous membrane) on the immunoassay procedure are studied. The mathematical model includes component balances and Poisson equation of electrostatics. Steady-state analysis shows qualitative effects of the model parameters on the concentration of antibody in the reaction area. Dynamical analysis quantitatively reveals effects of crucial parameters on the time needed for the immunoassay procedure. It was observed that this time can be reduced to several minutes by a proper choice of control parameters. One complete step of ELISA application in the series arrangement of probes is analyzed in detail.