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A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors

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,...

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Autores principales: de la Torre, Angel, Medina-Rodríguez, Santiago, Segura, Jose C., Fernández-Sánchez, Jorge F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7472340/
https://www.ncbi.nlm.nih.gov/pubmed/32824694
http://dx.doi.org/10.3390/s20164635
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author de la Torre, Angel
Medina-Rodríguez, Santiago
Segura, Jose C.
Fernández-Sánchez, Jorge F.
author_facet de la Torre, Angel
Medina-Rodríguez, Santiago
Segura, Jose C.
Fernández-Sánchez, Jorge F.
author_sort de la Torre, Angel
collection PubMed
description 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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spelling pubmed-74723402020-09-04 A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors de la Torre, Angel Medina-Rodríguez, Santiago Segura, Jose C. Fernández-Sánchez, Jorge F. Sensors (Basel) Article 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). MDPI 2020-08-18 /pmc/articles/PMC7472340/ /pubmed/32824694 http://dx.doi.org/10.3390/s20164635 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
de la Torre, Angel
Medina-Rodríguez, Santiago
Segura, Jose C.
Fernández-Sánchez, Jorge F.
A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
title A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
title_full A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
title_fullStr A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
title_full_unstemmed A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
title_short A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors
title_sort polynomial-exponent model for calibrating the frequency response of photoluminescence-based sensors
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7472340/
https://www.ncbi.nlm.nih.gov/pubmed/32824694
http://dx.doi.org/10.3390/s20164635
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