{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T15:41:59Z","timestamp":1767109319744,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2020,8,18]],"date-time":"2020-08-18T00:00:00Z","timestamp":1597708800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["CTQ2014-53442-P, Grant BES-2009-026919 and Torres Quevedo Grants PTQ-15-07922 and PTQ-15-07912)"],"award-info":[{"award-number":["CTQ2014-53442-P, Grant BES-2009-026919 and Torres Quevedo Grants PTQ-15-07922 and PTQ-15-07912)"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"name":"CEI Biotic Granada","award":["Project CEIbioTIC14-2015"],"award-info":[{"award-number":["Project CEIbioTIC14-2015"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>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\u2013Volmer model. We compare the calibration provided by the proposed PE-model with that provided by the classical Stern\u2013Volmer, 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).<\/jats:p>","DOI":"10.3390\/s20164635","type":"journal-article","created":{"date-parts":[[2020,8,18]],"date-time":"2020-08-18T11:15:27Z","timestamp":1597749327000},"page":"4635","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9736-5190","authenticated-orcid":false,"given":"Angel de la","family":"Torre","sequence":"first","affiliation":[{"name":"Department Signal Theory, Networking and Communications, University of Granada, 18071 Granada, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4863-9095","authenticated-orcid":false,"given":"Santiago","family":"Medina-Rodr\u00edguez","sequence":"additional","affiliation":[{"name":"By Techdesign S.L., 28500 Arganda del Rey (Madrid), Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3746-0978","authenticated-orcid":false,"given":"Jose C.","family":"Segura","sequence":"additional","affiliation":[{"name":"Department Signal Theory, Networking and Communications, University of Granada, 18071 Granada, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6181-2833","authenticated-orcid":false,"given":"Jorge F.","family":"Fern\u00e1ndez-S\u00e1nchez","sequence":"additional","affiliation":[{"name":"Department of Analytical Chemistry, University of Granada, 18071 Granada, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Lakowicz, J.R. 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