Abstract
A theoretical model for submillimetre-sized optical glucose sensors based on microscopic pH-sensitive optode beads and glucose oxidase (GOX) inside hydrophilic membrane capsules with ca. 12 μm thickness is presented. In this model, glucose influx and gluconic acid efflux across the capsule membrane are combined with enzymatic kinetics inside the capsule. Thereby, a simple model predicting the sensor responses with different permeabilities of the capsule membranes is obtained. The permeability of the capsule membranes for glucose and gluconic acid was successfully modified by changing the monomer ratio between 2-hydroxyethyl methacrylate (HEMA) and polyethylene glycol methacrylate (PEGMA) in the preparation of poly(HEMA-co-PEGMA)-based capsule membranes. Excellent agreements between the predicted sensor responses and the experimentally obtained ones were achieved in buffer solutions containing glucose at physiologically relevant concentrations. Consequently, this model can predict enhancement of the sensor response for glucose by reducing the gluconic acid efflux, and provides a general precept for the fabrication of enzyme-based optical sensors with enhanced responses.
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