Ion Channel Biosensors-Part II: Dynamic Modeling, Analysis, and Statistical Signal Processing

This paper deals with the dynamic modeling, analysis, and statistical signal processing of the ion channel switch biosensor. The electrical dynamics are described by a second-order linear system. The chemical kinetics of the biosensor response to analyte concentration in the reaction-rate-limited regime are modeled by a two-timescale nonlinear system of differential equations. Also, the analyte concentration in the mass-transport-influenced regime is modeled by a partial differential equation subject to a mixture of Neumann and Dirichlet boundary conditions. By using the theory of singular perturbation, we analyze the model so as to predict the performance of the biosensor in transient and steady-state regimes. Finally, we outline the use of statistical signal processing algorithms that exploit the biosensor dynamics to classify analyte concentration.