A biosensor system is configured to establish a steady-state condition and alternate between the steady-state condition and a non-steady-state condition to determine an analyte concentration. The biosensor system includes an electrode system having at least one working electrode and one counter electrode. The working electrode is covered with an analyte catalyzing layer for converting an analyte into measurable species. A membrane system encompasses the electrode system and comprises an analyte permeable membrane. The membrane has an analyte permeability with lower analyte solubility than an analyte solubility outside the membrane. The membrane is configured to trap a measureable species within the membrane such that a steady-state of the measurable species resulting from the analyte is established near the electrode surface. A bias circuit is configured to apply a potential modulation sequence to the working electrode to cause alternating of steady-state and non-steady-state conditions within the electrode system for analyte concentration determination.