A dual Kalman filter for parameter-state estimation in real-time DNA microarrays

Affinity-based biosensors rely on chemical attraction between analytes (targets) and their molecular complements (probes) to detect presence and quantify amounts of the analytes of interest. Real-time DNA microarrays acquire multiple temporal samples of the target-probe binding process. In this paper, estimation of the amount of targets based on early kinetics of the binding reaction is studied. A dual Kalman filter for the parameter-state estimation is proposed. Computational studies demonstrate efficacy of the proposed method.