To
determine the concentration of biomolecules using a label-free
optical biosensor, it is necessary to measure the serial signal from
the reaction starting point, which is inconvenient for practical applications.
Here, we propose an alternative detection method for determining the
concentration of a biomolecule. The method, which is derived from
the fraction bound equation of the Langmuir adsorption model, determines
the concentration relative to a reference sample with required accuracy,
with a single measurement at any point in time. We also experimentally
demonstrated the method and its accuracy by detecting streptavidin–biotin
complexes using on-chip optical sensors based on active disk resonators
integrated with microfluidic circuits. By performing the proposed
method in a simultaneous parallel measurement scheme, signal fluctuations
evenly induced in the detectors by external perturbations could be
automatically suppressed, similar to the balanced detection method.
We expect our approach to be applicable to practical applications
where fast and accurate detection responses are needed.