Speaker
Description
Biological field effect transistors are portable and highly sensitive biosensors that show promise as medical diagnostic instruments. During a typical experiment, chemical reactants from solution diffuse onto a surface to bind with receptors that are confined to the surface. This produces a time series signal that may be used to analyze the reaction of interest. In experimentally relevant parameter regimes, a model for these experiments takes the form of a nonlinear and logarithmically singular integrodifferential equation. A numerical method based on a Nystrom discretization and specialized quadrature will be presented, and it will be demonstrated that this method achieves second-order accuracy. Numerical simulation compares favorably with experiment.
