PMID- 32652463 OWN - NLM STAT- MEDLINE DCOM- 20210607 LR - 20210607 IS - 1873-2682 (Electronic) IS - 1011-1344 (Linking) VI - 209 DP - 2020 Aug TI - A general framework for non-exponential delayed fluorescence and phosphorescence decay analysis, illustrated on Protoporphyrin IX. PG - 111887 LID - S1011-1344(20)30336-5 [pii] LID - 10.1016/j.jphotobiol.2020.111887 [doi] AB - Delayed fluorescence (DF) is a long-lived luminescence process used in a variety of applications ranging from oxygen sensing in biological tissues to organic Light Emitting Diodes. In common cases, DF results from the de-excitation of the first excited triplet state via the first excited singlet state of the chromophore, which produces a mono-exponential light signal whose amplitude and lifetime give an insight into the probed environment. However, non-linear de-excitation reactions such as triplet-triplet annihilation, which can cause decays to lose their mono-exponential nature, are often neglected. In this work, we derive a global framework to properly interpret decays resulting from a combination of linear and non-linear de-excitation processes. We show why the standard method of using multi-exponential models when decays are not mono-exponential is not always relevant, nor accurate. First, we explain why the triplet de-excitation and light production processes should be analyzed individually: we introduce novel concepts to precisely describe these two processes, namely the deactivation pathway - the reaction which mainly contributes to the triplet state de-excitation - and the measurement pathway - the reaction which is responsible for light production. We derive explicit fitting functions which allow the experimenter to estimate the reaction rates and excited state concentrations in the system. To validate our formalism, we analyze the in vitro Transient Triplet Absorption and DF of Protoporphyrin IX, a well-known biological aromatic molecule used in photodynamic therapy, cancer photodetection and oxygen sensing, which produces DF through various mechanisms depending on concentration and excitation intensity. We also identify the precise assumptions necessary to conclude that triplet-triplet annihilation DF should follow a mono-exponential decay with a lifetime of half the triplet state lifetime. Finally, we describe why the commonly used definitions of triplet / DF lifetime are ill-defined in the case where second-order reactions contribute to the deactivation process, and why the fitting of precise mixed-orders DF kinetics should be preferred in this case. This work could allow the correct interpretation of various long-lived luminescence processes and facilitate their understanding. CI - Copyright (c) 2020 The Authors. Published by Elsevier B.V. All rights reserved. FAU - Croizat, Gauthier AU - Croizat G AD - Laboratory for functional and metabolic imaging, LIFMET, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. Electronic address: g.croizat@gmail.com. FAU - Gregor, Aurelien AU - Gregor A AD - Laboratory for functional and metabolic imaging, LIFMET, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. FAU - Gerelli, Emmanuel AU - Gerelli E AD - Laboratory for functional and metabolic imaging, LIFMET, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. FAU - Joniova, Jaroslava AU - Joniova J AD - Laboratory for functional and metabolic imaging, LIFMET, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. FAU - Scholz, Marek AU - Scholz M AD - Faculty of Science, University of South Bohemia, Ceske Budejovice, Czech Republic. Electronic address: mara.scholz@gmail.com. FAU - Wagnieres, Georges AU - Wagnieres G AD - Laboratory for functional and metabolic imaging, LIFMET, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland. LA - eng PT - Journal Article DEP - 20200430 PL - Switzerland TA - J Photochem Photobiol B JT - Journal of photochemistry and photobiology. B, Biology JID - 8804966 RN - 0 (Protoporphyrins) RN - C2K325S808 (protoporphyrin IX) SB - IM MH - Fluorescence MH - Kinetics MH - Models, Theoretical MH - Protoporphyrins/*chemistry MH - Spectrometry, Fluorescence OTO - NOTNLM OT - Cancer photodetection OT - Delayed fluorescence OT - Oxygen sensing OT - Phosphorescence OT - Time-resolved spectroscopy OT - Triplet state kinetics EDAT- 2020/07/12 06:00 MHDA- 2021/06/08 06:00 CRDT- 2020/07/12 06:00 PHST- 2020/02/12 00:00 [received] PHST- 2020/04/14 00:00 [revised] PHST- 2020/04/26 00:00 [accepted] PHST- 2020/07/12 06:00 [pubmed] PHST- 2021/06/08 06:00 [medline] PHST- 2020/07/12 06:00 [entrez] AID - S1011-1344(20)30336-5 [pii] AID - 10.1016/j.jphotobiol.2020.111887 [doi] PST - ppublish SO - J Photochem Photobiol B. 2020 Aug;209:111887. doi: 10.1016/j.jphotobiol.2020.111887. Epub 2020 Apr 30.