Modeling of spherical fluorescent glucose microsensor systems: design of enzymatic smart tattoos.

A two-substrate mathematical model of microspherical optical enzymatic glucose sensors is presented. The sensors are based on the well-known oxidation of glucose by glucose oxidase, and are constructed by the encapsulation of glucose oxidase within hydrogel microspheres coated with ultrathin polyelectrolyte multilayer films. In order to measure glucose via changes in oxygen concentration, a fluorescent oxygen indicator is co-encapsulated with the enzyme. The model was used to predict the temporal and spatial distributions of glucose and oxygen within the sphere for step increases in bulk glucose concentration. In addition, the model was used to observe the effect of varying sensor parameters, namely sphere size, film thickness, enzyme concentration, and mass transport of substrate and co-substrate within the sphere and film coatings, on the response of the sensors. A major finding was that the application of {PSS/PAH} films as thin as 12 nm can drastically improve the sensor performance over uncoated sensors based on calcium alginate microspheres. The model is proposed as an important tool for a priori design of these complex sensor structures.