A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors Torre Vega, Ángel De La Medina Rodríguez, Santiago Segura Luna, José Carlos Fernández Sánchez, Jorge Fernando Calibration Chemical sensor Photoluminescence Oxygen sensing Frequency response Stern–Volmer model Lehrer model Demas model Polynomial-exponent model This work has been partly supported by the Spanish Ministry of Economy, Industry and Competitiveness (CTQ2014-53442-P, Grant BES-2009-026919 and Torres Quevedo Grants PTQ-15-07922 and PTQ-15-07912), and the CEI BioTic Granada Campus (Project 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). 2020-11-09T12:41:59Z 2020-11-09T12:41:59Z 2020-08-18 info:eu-repo/semantics/article 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] http://hdl.handle.net/10481/64151 10.3390/s20164635 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI