The effect of screening and the establishment of the Donnan potential at the floating gate of field-effect transistors (BioFETs) are calculated for a model that includes proton site binding on metal oxides used as gate insulators. Variations of response with , electrolyte concentration, and the fixed charge density of oligonucleotides are calculated assuming the charge is distributed homogenously in an ion-permeable membrane of finite thickness. Derived expressions describe the change in threshold voltage with electrolyte concentration and . These could be used to predict the sensitivity of the BioFET to hybridization, and provide a means of calibration prior to use.
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