A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
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AuthorTorre Vega, Ángel De La; Medina Rodríguez, Santiago; Segura Luna, José Carlos; Fernández Sánchez, Jorge Fernando
CalibrationChemical sensorPhotoluminescenceOxygen sensingFrequency responseStern–Volmer modelLehrer modelDemas modelPolynomial-exponent model
Torre, A.; Medina-Rodríguez, S.; Segura, J.C.; Fernández-Sánchez, J.F. A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors. Sensors 2020, 20, 4635. [doi:10.3390/s20164635]
SponsorshipSpanish Ministry of Economy, Industry and Competitiveness CTQ2014-53442-P BES-2009-026919 PTQ-15-07922 PTQ-15-07912; CEI BioTic Granada Campus CEIbioTIC14-2015
In this work, we propose a new model describing the relationship between the analyte concentration and the instrument response in photoluminescence sensors excited with modulated light sources. The concentration is modeled as a polynomial function of the analytical signal corrected with an exponent, and therefore the model is referred to as a polynomial-exponent (PE) model. The proposed approach is motivated by the limitations of the classical models for describing the frequency response of the luminescence sensors excited with a modulated light source, and can be considered as an extension of the Stern–Volmer model. We compare the calibration provided by the proposed PE-model with that provided by the classical Stern–Volmer, Lehrer, and Demas models. Compared with the classical models, for a similar complexity (i.e., with the same number of parameters to be fitted), the PE-model improves the trade-off between the accuracy and the complexity. The utility of the proposed model is supported with experiments involving two oxygen-sensitive photoluminescence sensors in instruments based on sinusoidally modulated light sources, using four different analytical signals (phase-shift, amplitude, and the corresponding lifetimes estimated from them).
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