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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Pharmacol.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Pharmacology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Pharmacol.</abbrev-journal-title>
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<issn pub-type="epub">1663-9812</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1774142</article-id>
<article-id pub-id-type="doi">10.3389/fphar.2026.1774142</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Prediction of site-specific drug deposition via dry powder inhaler using non-invasive real-time particle emission signal monitoring system</article-title>
<alt-title alt-title-type="left-running-head">Hatazoe et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphar.2026.1774142">10.3389/fphar.2026.1774142</ext-link>
</alt-title>
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<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Hatazoe</surname>
<given-names>Sakiko</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<sup>2</sup>
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<sup>1</sup>
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<name>
<surname>Katsube</surname>
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<sup>1</sup>
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<contrib contrib-type="author">
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<given-names>Keiko</given-names>
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<sup>1</sup>
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<surname>Umemura</surname>
<given-names>Keisuke</given-names>
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<sup>1</sup>
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<surname>Hamada</surname>
<given-names>Satoshi</given-names>
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<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
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<surname>Ueshima</surname>
<given-names>Satoshi</given-names>
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<xref ref-type="aff" rid="aff6">
<sup>6</sup>
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<surname>Nakagawa</surname>
<given-names>Shunsaku</given-names>
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<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Tsuda</surname>
<given-names>Masahiro</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
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<surname>Sato</surname>
<given-names>Susumu</given-names>
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<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<xref ref-type="aff" rid="aff7">
<sup>7</sup>
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<contrib contrib-type="author">
<name>
<surname>Kakumoto</surname>
<given-names>Mikio</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
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<contrib contrib-type="author">
<name>
<surname>Terada</surname>
<given-names>Tomohiro</given-names>
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<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<aff id="aff1">
<label>1</label>
<institution>Department of Clinical Pharmacology and Therapeutics, Kyoto University Hospital</institution>, <city>Kyoto</city>, <country country="JP">Japan</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Graduate School of Pharmaceutical Sciences, Kyoto University</institution>, <city>Kyoto</city>, <country country="JP">Japan</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>Department of Respiratory Medicine, Shonan Fujisawa Tokushukai Hospital</institution>, <city>Fujisawa</city>, <state>Kanagawa</state>, <country country="JP">Japan</country>
</aff>
<aff id="aff4">
<label>4</label>
<institution>Department of Respiratory Medicine, Graduate School of Medicine, Kyoto University</institution>, <city>Kyoto</city>, <country country="JP">Japan</country>
</aff>
<aff id="aff5">
<label>5</label>
<institution>Department of Advanced Medicine for Respiratory Failure, Graduate School of Medicine, Kyoto University</institution>, <city>Kyoto</city>, <country country="JP">Japan</country>
</aff>
<aff id="aff6">
<label>6</label>
<institution>College of Pharmaceutical Sciences, Ritsumeikan University</institution>, <city>Shiga</city>, <country country="JP">Japan</country>
</aff>
<aff id="aff7">
<label>7</label>
<institution>Department of Respiratory Care and Sleep Control Medicine, Graduate School of Medicine, Kyoto University</institution>, <city>Kyoto</city>, <country country="JP">Japan</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Daiki Hira, <email xlink:href="mailto:hira_d@kuhp.kyoto-u.ac.jp">hira_d@kuhp.kyoto-u.ac.jp</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-27">
<day>27</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>17</volume>
<elocation-id>1774142</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>02</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Hatazoe, Hira, Kondo, Shigetsura, Imayoshi, Katsube, Ikuta, Kunitsu, Umemura, Hamada, Ueshima, Nakagawa, Tsuda, Sato, Kakumoto and Terada.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Hatazoe, Hira, Kondo, Shigetsura, Imayoshi, Katsube, Ikuta, Kunitsu, Umemura, Hamada, Ueshima, Nakagawa, Tsuda, Sato, Kakumoto and Terada</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-27">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Background</title>
<p>Accurate evaluation of regional drug deposition within the respiratory tract is essential for optimizing inhalation therapy efficacy and minimizing adverse effects. However, non-invasive, real-time quantitative methods for site-specific drug delivery assessment remain limited.</p>
</sec>
<sec>
<title>Objective</title>
<p>To develop mathematical models to predict site-specific drug deposition from a dry powder inhaler (DPI) using a non-invasive, real-time photo reflection method (PRM).</p>
</sec>
<sec>
<title>Methods</title>
<p>Using Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> as a model DPI, four inhalation patterns varying in peak flow rate (PFR: 30&#x2013;60&#xa0;L/min) and flow increase rate (FIR: 3.2&#x2013;9.6&#xa0;L/s<sup>2</sup>) were simulated using a human inhalation flow simulator. Aerodynamic particle deposition of budesonide was quantified as the fine particle fraction for the whole lung (FPF<sub>WL</sub>), peripheral airways (FPF<sub>PA</sub>), and oropharyngeal region using an Andersen Cascade Impactor. Particle emission signals were monitored via PRM. The relationship between particle emission signals and deposition performance was analyzed using four univariate models: linear, logarithmic, Hill, and Emax.</p>
</sec>
<sec>
<title>Results</title>
<p>Increased PFR and FIR enhanced drug deposition in both the lungs and oropharyngeal region. FPF<sub>WL</sub> and FPF<sub>PA</sub> were strongly correlated with total particle emission intensity over time with the Hill model (<italic>R</italic>
<sup>2</sup> &#x3d; 0.86 and 0.74 for FPF<sub>WL</sub> and FPF<sub>PA</sub>, respectively), reflecting nonlinear deagglomeration. Oropharyngeal deposition correlated with flow rate at particle emission peak, fitting a linear model (<italic>R</italic>
<sup>2</sup> &#x3d; 0.82), consistent with inertial impaction mechanisms.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Using an <italic>in-vitro</italic> model, particle emission signals enable the prediction of site-specific drug deposition from DPI, providing non-invasive, real-time indices and offering personalized inhalation performance assessment beyond conventional flow rate metrics.</p>
</sec>
</abstract>
<kwd-group>
<kwd>dry powder inhaler</kwd>
<kwd>non-invasive</kwd>
<kwd>photo reflection method</kwd>
<kwd>real-time monitoring</kwd>
<kwd>site-specific drug deposition</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>Japan Agency for Medical Research and Development</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/100009619</institution-id>
</institution-wrap>
</funding-source>
<award-id rid="sp1">JP25mk0121264</award-id>
</award-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This study was supported by the AMED JP25mk0121264 (DH), TOA Research Grant of the Research Society for Dry Powder Inhalers (DH) and JST SPRING, Grant Number JPMJSP2110 (SH).</funding-statement>
</funding-group>
<counts>
<fig-count count="6"/>
<table-count count="4"/>
<equation-count count="11"/>
<ref-count count="59"/>
<page-count count="12"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Respiratory Pharmacology</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>To maximize the therapeutic efficacy of inhaled medications and minimize adverse effects, it is essential to assess not only the total administered dose but also the regional distribution of drug deposition within the lungs (<xref ref-type="bibr" rid="B7">Beinart et al., 2024</xref>; <xref ref-type="bibr" rid="B40">Lazarinis et al., 2024</xref>; <xref ref-type="bibr" rid="B15">Cottini et al., 2025</xref>). In patients with asthma and chronic obstructive pulmonary disease (COPD), adequate drug distribution to the peripheral airways has been reported to be significantly associated with improved symptom control, reduced exacerbation frequency, and long-term maintenance of lung function (<xref ref-type="bibr" rid="B43">Mastalerz and Kasperkiewicz, 2011</xref>; <xref ref-type="bibr" rid="B50">Usmani et al., 2021</xref>; <xref ref-type="bibr" rid="B14">Clar&#xe0; et al., 2023</xref>; <xref ref-type="bibr" rid="B16">Darquenne et al., 2024</xref>). Conversely, excessive oropharyngeal deposition of inhaled corticosteroids (ICS) is known to cause local adverse events, such as oral candidiasis and dysphonia, and systemic side effects through gastrointestinal absorption following swallowing (<xref ref-type="bibr" rid="B20">Dubus et al., 2001</xref>; <xref ref-type="bibr" rid="B37">Kaur and Singh, 2018</xref>; <xref ref-type="bibr" rid="B4">Arevalo and Buban, 2023</xref>; <xref ref-type="bibr" rid="B26">G&#xfc;mr&#xfc; and Akkitap, 2022</xref>). These adverse effects can lead to reduced patient adherence, which is a critical issue in clinical practice (<xref ref-type="bibr" rid="B21">Engelkes et al., 2015</xref>; <xref ref-type="bibr" rid="B5">Asamoah-Boaheng et al., 2021</xref>). Therefore, a method for quantifying and optimizing site-specific deposition on an individual basis is highly desirable.</p>
<p>Inhalation therapy is the initial treatment for asthma and COPD (<xref ref-type="bibr" rid="B24">Global Initiative for Asthma - GINA, 2025</xref>; <xref ref-type="bibr" rid="B25">Global Initiative for Chronic Obstructive Lung Disease, 2025</xref>). By enabling the direct delivery of medications to target sites, this approach facilitates a rapid onset of action while reducing systemic exposure and associated adverse effects (<xref ref-type="bibr" rid="B13">Chandel et al., 2019</xref>; <xref ref-type="bibr" rid="B52">Wang et al., 2024</xref>). Dry powder inhalers (DPIs) are widely used in clinical settings owing to their superior physicochemical stability and ability to achieve efficient pulmonary deposition through patient-generated inspiratory flow (<xref ref-type="bibr" rid="B19">Dhoble et al., 2024</xref>; <xref ref-type="bibr" rid="B34">Islam et al., 2024</xref>). However, the actual dose and distribution of drugs delivered to the lungs can vary substantially owing to multiple factors, including respiratory function, inhalation flow profiles, device design, formulation properties, and operational errors (<xref ref-type="bibr" rid="B8">Borghardt et al., 2018</xref>; <xref ref-type="bibr" rid="B27">Haidl et al., 2016</xref>; <xref ref-type="bibr" rid="B46">Nov&#xe1;kov&#xe1; et al., 2022</xref>).</p>
<p>Previous attempts to predict therapeutic efficacy have used plasma drug concentration monitoring (<xref ref-type="bibr" rid="B2">Alahmadi et al., 2021</xref>). Although correlations with clinical outcomes have been observed, such approaches are limited by considerable interpatient and inter-formulation variability, making it difficult to selectively quantify pulmonary drug deposition (<xref ref-type="bibr" rid="B23">Getz and Carroll, 2017</xref>). <italic>In vivo</italic> imaging techniques using radiolabeled drugs have enabled the quantification of regional deposition; however, their invasive nature and procedural complexity restrict their utility to regulatory studies rather than routine clinical practice (<xref ref-type="bibr" rid="B44">Meseguer et al., 1994</xref>; <xref ref-type="bibr" rid="B45">Newman et al., 2000</xref>). Therefore, non-invasive methods such as <italic>in vitro</italic> and <italic>in silico</italic> testing are being explored. These studies have substantially advanced our understanding of how inhalation maneuver and device&#x2013;powder interactions affect aerosol generation and regional deposition. However, these approaches typically depend on predefined inhalation patterns and airway geometries (<xref ref-type="bibr" rid="B47">Rebello et al., 2022</xref>). There is limited visibility into day-to-day, patient specific inhalation behavior in real-world clinical practice, where technique errors and self-adapted maneuvers may occur. Although the development of digital health integrated smart inhalers is underway, there is as yet no established method to directly evaluate drug deposition by accounting for individual inhalation patterns and airway anatomy (<xref ref-type="bibr" rid="B9">Bosnic-Anticevich et al., 2023</xref>). Therefore, practical methods are required to assess site-specific drug delivery based on real-time and non-invasive indices obtained during actual patient inhalation.</p>
<p>The results of our previous study demonstrated that a particle emission signal derived from the photo reflection method (PRM) can serve as non-invasive, and real-time indices for total pulmonary drug deposition via Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> (<xref ref-type="bibr" rid="B29">Hatazoe et al., 2024</xref>). In PRM, the reflected light is measured as the aerosol released from an inhaler passes through the laser sensing region. Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> is widely used as a combination therapy of an inhaled corticosteroid (budesonide) and a long-acting beta2-agonist (formoterol fumarate) for the treatment of asthma and COPD. Symbicort<sup>&#xae;</sup> is characterized as a formulation where micronized particles (1&#x2013;5&#xa0;&#x3bc;m) of the two active ingredients and lactose form soft agglomerates (<xref ref-type="bibr" rid="B11">Buttini et al., 2016</xref>). It has been reported that these budesonide and formoterol exhibit comparable aerodynamic behavior in terms of the fine particle fraction (FPF). However, because the therapeutic and adverse effects of inhaled drugs originate from drug deposition in different anatomical regions, a detailed analysis of drug deposition sites in the respiratory system is necessary. Therefore, the aim of the present study was to develop a predictive model capable of simultaneously estimating drug delivery to the peripheral airways, central airways, and oropharyngeal regions using an established PRM-based monitoring system.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>Materials</title>
<p>Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> 60 doses (AstraZeneca K.K., Osaka, Japan; containing 160&#xa0;&#x3bc;g of budesonide (BUD) and 4.5&#xa0;&#x3bc;g of formoterol fumarate dihydrate (FOR) per dose) was used as a model dry powder inhaler. BUD was purchased from Tokyo Chemical Industry Co., Ltd. (Tokyo, Japan) as a standard sample for high-performance liquid chromatography (HPLC). Other reagents and solvents used were of analytical and HPLC grades, respectively.</p>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>
<italic>In vitro</italic> testing of regional lung deposition using PRM</title>
<p>An <italic>in vitro</italic> system was established to assess the relationship between inhalation patterns and regional drug deposition using a combination of particle emission signal monitoring and cascade impaction analysis (<xref ref-type="fig" rid="F1">Figure 1</xref>). Four inhalation patterns&#x2014;Quick60, Slow60, Mild60, and Quick30&#x2014;were defined based on varying peak flow rate (Defined PFR, 30&#x2013;60&#xa0;L/min) and flow increase rate (FIR, 3.2&#x2013;9.6&#xa0;L/s<sup>2</sup>), and reproduced using a human inhalation flow simulator (<xref ref-type="bibr" rid="B31">Hira et al., 2018</xref>). FIR was defined as the initial slope of the flow-time curve during the early inhalation phase and was controlled by a valve connected to a vacuum pump, as described previously (<xref ref-type="bibr" rid="B29">Hatazoe et al., 2024</xref>). Quick60 and Quick30 were generated with the rapid release of valve. By contrast, Slow60 was controlled with slower opening valve. Mild60 without valve operation, which resulted in a more gradual increase in flow rate despite a similar target PFR to Slow60. The inhalation duration was fixed at 5&#xa0;s for all the patterns to specifically evaluate the impact of the early inhalation phase, given that this parameter is reported to be less influential on DPI performance than PFR or FIR (<xref ref-type="bibr" rid="B30">Hira et al., 2010</xref>). Three independent analyses were conducted for each inhalation pattern.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic diagrams of the <italic>in vitro</italic> evaluation system using particle emission monitoring system. <bold>(A)</bold> The particle emission signal monitoring system was composed of particle emission signal detector with photo reflection method, a flow meter, and an Andersen Cascade Impactor (ACI). <bold>(B)</bold> Particle emission signal indices. <bold>(C)</bold> Particle emission signal detector. A laser irradiates particles passing through the section, and intensity of reflected light is measured with photo-IC diodes. </p>
</caption>
<graphic xlink:href="fphar-17-1774142-g001.tif">
<alt-text content-type="machine-generated">Diagram illustrating a particle emission analysis setup for an inhaler. Panel A shows a flow meter connected to an inhaler and a particle emission detector, which sends data to a computer and Andersen Cascade Impactor during simulated inspiration. Panel B displays three graphs: the top illustrates flow rate multiplied by particle emission with shaded area labeled AUC_{FRxPE}, the middle shows particle emission with area labeled AUC_{PE}, and the bottom features flow rate versus time, all marked at start, top, and end of particle emission peak. Panel C depicts drug particles detected by laser light and photo-IC diodes through reflected light.</alt-text>
</graphic>
</fig>
<p>The particle emission signals were detected using a previously developed PRM-based monitoring system (<xref ref-type="bibr" rid="B29">Hatazoe et al., 2024</xref>). Particle emission signal was recorded using PRM by measuring laser light reflection caused by the aerosol passing through a fixed measurement section, simultaneously with inhalation flow rate. The following indices were calculated: peak value of particle emission (Peak PE, V); flow rate at the start, peak, and end of the particle emission signal (FR at PE peak start, top, and end, L/min); area under the time-particle emission curve (AUC<sub>PE</sub>, V-s); and area under the time product of particle emission and flow rate curve (AUC<sub>FR&#xd7;PE</sub>, V-s-L/min). AUC<sub>FR&#xd7;PE</sub> was set as an index of the total drug amount released (<xref ref-type="bibr" rid="B39">Kondo et al., 2023</xref>).</p>
<p>The aerodynamic particle deposition of BUD was determined using an Andersen Cascade Impactor (ACI) (Sibata Scientific Technology Ltd., Tokyo, Japan). To avoid aerosol bounce, ACI was refrigerated for 1&#xa0;h prior to inhalation. After inhalation, the BUD deposited on each stage of the ACI was collected by applying 10&#xa0;mL of 20% ethanol. The concentration of BUD in each sample was quantified using HPLC-UV (<xref ref-type="bibr" rid="B29">Hatazoe et al., 2024</xref>). For evaluation of mass balance, the output efficacy (OE, %) was calculated (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>). As indicators of therapeutic efficacy, the fine particle fraction for the whole lung (FPF<sub>WL</sub>, %) and peripheral airway deposition (FPF<sub>PA</sub>, %) were defined as the deposition after stage 3 (cutoff diameter &#x3c;4.7&#xa0;&#x3bc;m&#xa0;at 28.3&#xa0;L/min) and stage 5 (cutoff diameter &#x3c;2.1&#xa0;&#x3bc;m&#xa0;at 28.3&#xa0;L/min) of ACI, respectively (<xref ref-type="disp-formula" rid="e2">Equations 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref>). In addition, depositions in the oral cavity and pharynx regions, which serve as indicators of potential adverse effects, were calculated as described in <xref ref-type="disp-formula" rid="e4">Equation 4</xref>. The theoretical released dose was indicated as the nominal dose of BUD (160&#xa0;&#x3bc;g). This analysis was conducted to evaluate the shift in site-specific drug deposition by inhalation pattern using ACI stage groupings, rather than to determine aerodynamic particle size distribution.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mtext>OE&#x2009;</mml:mtext>
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<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
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</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Mass</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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</mml:mrow>
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<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Theoretical</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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</mml:mfenced>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
<label>(1)</label>
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<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mtext>FPF</mml:mtext>
<mml:mtext>WL</mml:mtext>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Mass</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>recovered</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>on</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>and</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>after</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>stage</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Theoretical</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>released</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>dose</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mtext>FPF</mml:mtext>
<mml:mtext>PA</mml:mtext>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Mass</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>recovered</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>on</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>and</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>stage</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Theoretical</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>dose</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mtext>Oral</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>Pharynx&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
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</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
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<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Mass</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>recovered</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Theoretical</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
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</mml:math>
<label>(4)</label>
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</p>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Morphological analysis of particles of Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup>
</title>
<p>Field-emission scanning electron microscopy (FE-SEM; JSM-7900F; JEOL Ltd., Tokyo, Japan) was used to visualize the morphology of dispersed drug particles. Samples included drugs contained within the Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> device before inhalation and particles collected from ACI stages 0, 3, and 5 under Quick60 and Quick30 inhalation conditions. Samples on the specimen mounts were coated with osmium before imaging (Neoc-Pro/P, Meiwafosis Co., Ltd., Tokyo, Japan).</p>
<p>The geometric diameters of the particles that were deagglomerated and deposited on ACI Stage 3 after the inhalation of Quick 60 were determined using AI-based particle size analysis software (GeXeL, AI-number: STD-00048, KNiT Inc., Osaka, Japan). The volume-weighted size distribution was computed, and D<sub>10</sub>, D<sub>50</sub>, D<sub>90</sub> values were calculated from the cumulative volume distribution.</p>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Construction and evaluation of predictive models</title>
<p>Univariate regression analyses were conducted to investigate the relationships between site-specific drug deposition and inhalation parameters or particle emission indices. Four mathematical models were tested: linear, logarithmic, Hill, and Emax models, as shown in <xref ref-type="disp-formula" rid="e5">Equations 5</xref>&#x2013;<xref ref-type="disp-formula" rid="e8">8</xref>. Parameters were estimated by fitting a curve using linear or nonlinear least squares regression with R version 4.5.0 (R Foundation for Statistical Computing, Vienna, Austria).<disp-formula id="e5">
<mml:math id="m5">
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<mml:mi mathvariant="normal">b</mml:mi>
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<label>(5)</label>
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<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
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<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">b</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
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<mml:math id="m7">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
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<mml:msub>
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</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">x</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi mathvariant="normal">x</mml:mi>
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</mml:math>
<label>(7)</label>
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<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">D</mml:mi>
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<mml:mo>&#xd7;</mml:mo>
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<mml:msub>
<mml:mtext>DS</mml:mtext>
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<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">x</mml:mi>
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<label>(8)</label>
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</p>
<p>In these models, y denotes the deposition fraction at a specific respiratory tract site, and x represents an explanatory variable derived from inhalation flow rate or particle emission indices. The parameter D<sub>max</sub> refers to the maximum deposition achievable. DS<sub>50</sub> is defined as the critical level of shear stress or flow energy required to achieve 50% of D<sub>max</sub>, effectively serving as an index of the threshold beyond which particle disintegration and dispersion are substantially accelerated. The exponent N characterizes the steepness of the transition in deposition, reflecting the degree of nonlinearity and structural abruptness in the deagglomeration process, such as the layer-by-layer collapse of particle agglomerates.</p>
<p>The model with the highest coefficient of determination (<italic>R</italic>
<sup>2</sup>) was selected as the optimal model for each target variable. Model validity and predictive accuracy were assessed using the Akaike Information Criterion (AIC), root mean square error (RMSE), and mean absolute error (MAE). These parameters are defined in <xref ref-type="disp-formula" rid="e9">Equations 9</xref>&#x2013;<xref ref-type="disp-formula" rid="e11">11</xref>:<disp-formula id="e9">
<mml:math id="m9">
<mml:mrow>
<mml:mtext>AIC</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
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<mml:mi mathvariant="normal">k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m10">
<mml:mrow>
<mml:mtext>MAE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x3a3;</mml:mi>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x5e;</mml:mo>
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</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m11">
<mml:mrow>
<mml:mtext>RMSE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">&#x3a3;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
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</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:mfrac>
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<label>(11)</label>
</disp-formula>where <italic>k</italic> is the number of model parameters, and <italic>L</italic> is the likelihood function (<xref ref-type="bibr" rid="B1">Akaike, 1974</xref>). Additionally, y&#x1d62; and &#x177;&#x1d62; denote the observed and predicted values, respectively, and <italic>n</italic> is the number of observations (<xref ref-type="bibr" rid="B12">Chai et al., 2014</xref>).</p>
<p>Comparisons among inhalation patterns were performed using one-way analysis of variance (ANOVA), followed by Tukey&#x2019;s multiple comparison test. The level of significance was set at <italic>p</italic> &#x3c; 0.05. All analyses were conducted using R version 4.5.0 (R Foundation for Statistical Computing, Vienna, Austria).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<label>3</label>
<title>Results</title>
<p>The profiles of the inhalation flow parameters and particle emission signal indices for each inhalation pattern are summarized in <xref ref-type="table" rid="T1">Table 1</xref>. As PFR and FIR increased, both Peak PE and AUC<sub>FR&#xd7;PE</sub> showed a corresponding increase, with the highest values observed under the Quick60 condition, which featured the most rapid increase in flow rate.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Inhalation flow parameters and particle emission signal indices under four different inhalation patterns (n &#x3d; 3, mean &#xb1; SD).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Inhalation pattern</th>
<th align="left">Quick60</th>
<th align="left">Slow60</th>
<th align="left">Mild60</th>
<th align="left">Quick30</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Actual PFR (L/min)</td>
<td align="left">56.7 &#xb1; 0.44</td>
<td align="left">55.7 &#xb1; 0.40</td>
<td align="left">56.0 &#xb1; 0.04</td>
<td align="left">27.7 &#xb1; 0.31</td>
</tr>
<tr>
<td align="left">Defined PFR (L/min)</td>
<td align="left">60</td>
<td align="left">60</td>
<td align="left">60</td>
<td align="left">30</td>
</tr>
<tr>
<td align="left">FIR (L/s<sup>2</sup>)</td>
<td align="left">9.3 &#xb1; 0.7</td>
<td align="left">4.7 &#xb1; 0.1</td>
<td align="left">4.0 &#xb1; 0.4</td>
<td align="left">3.4 &#xb1; 0.1</td>
</tr>
<tr>
<td align="left">Peak PE (V)</td>
<td align="left">2.89 &#xb1; 0.39</td>
<td align="left">1.44 &#xb1; 0.24</td>
<td align="left">1.44 &#xb1; 0.07</td>
<td align="left">1.10 &#xb1; 0.18</td>
</tr>
<tr>
<td align="left">AUC<sub>FR&#xd7;PE</sub> (V.s.L/min)</td>
<td align="left">6.78 &#xb1; 0.66</td>
<td align="left">4.95 &#xb1; 0.73</td>
<td align="left">3.83 &#xb1; 0.65</td>
<td align="left">2.08 &#xb1; 0.30</td>
</tr>
<tr>
<td align="left">FR at PE peak top (L/min)</td>
<td align="left">37.7 &#xb1; 0.6</td>
<td align="left">33.6 &#xb1; 0.5</td>
<td align="left">23.2 &#xb1; 1.7</td>
<td align="left">18.3 &#xb1; 0.5</td>
</tr>
<tr>
<td align="left">FR at PE peak end (L/min)</td>
<td align="left">46.5 &#xb1; 0.8</td>
<td align="left">45.3 &#xb1; 0.2</td>
<td align="left">36.6 &#xb1; 1.7</td>
<td align="left">20.8 &#xb1; 0.3</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as mean &#xb1; standard deviation (n &#x3d; 3). AUC, area under the curve; PFR, peak flow rate; FR, flow rate; PE, particle emission.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The inhalation performance parameters for all inhalation patterns are shown in <xref ref-type="table" rid="T2">Table 2</xref>. The OE of the Quick30 pattern was significantly lower than that of the other PFR60 patterns. Both the FPF<sub>WL</sub> and FPF<sub>PA</sub> increased with higher PFR and FIR, ranging from 15.2% to 57.2% and from 3.1% to 11.9%, respectively. Drug deposition in the oropharynx ranged from 10.5% to 36.3%, with higher values observed under Quick60 (<italic>p</italic> &#x3c; 0.05 vs. Mild60 and Quick30).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Inhalation performance for all inhalation patterns (n &#x3d; 3, mean &#xb1; S.D.).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Inhalation pattern</th>
<th align="left">Quick60</th>
<th align="left">Slow60</th>
<th align="left">Mild60</th>
<th align="left">Quick30</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">OE (%)</td>
<td align="left">83.9 &#xb1; 7.2</td>
<td align="left">68.3 &#xb1; 9.6</td>
<td align="left">62.5 &#xb1; 3.5</td>
<td align="left">32.0 &#xb1; 5.0</td>
</tr>
<tr>
<td align="left">Oral-pharynx (%)</td>
<td align="left">31.9 &#xb1; 3.5</td>
<td align="left">27.2 &#xb1; 4.2</td>
<td align="left">19.5 &#xb1; 1.0</td>
<td align="left">14.0 &#xb1; 2.6</td>
</tr>
<tr>
<td align="left">FPFWL (%)</td>
<td align="left">52.0 &#xb1; 3.8</td>
<td align="left">41.0 &#xb1; 6.7</td>
<td align="left">43.0 &#xb1; 2.4</td>
<td align="left">18.0 &#xb1; 3.7</td>
</tr>
<tr>
<td align="left">FPFPA (%)</td>
<td align="left">10.9 &#xb1; 0.8</td>
<td align="left">8.5 &#xb1; 0.8</td>
<td align="left">10.1 &#xb1; 0.3</td>
<td align="left">4.4 &#xb1; 1.0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>OE, output efficacy represents mass balance, FPF<sub>WL</sub>, fine particle fraction deposited at or beyond ACI, Stage 3 (whole lung); FPF<sub>PA</sub>, fine particle fraction deposited at or beyond Stage 5 (peripheral airway). All indices are represented as a % nominal dose of budesonide (160&#xa0;&#x3bc;g).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The aerodynamic particle distributions obtained from ACI are shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. In the Quick30 condition, deposition at Stage 0&#x2014;which corresponds to the pharyngeal region&#x2014;was higher than that in the other patterns. Conversely, deposition in the induction port representing the oral cavity increased markedly with higher PFR and FIR. Three patterns with a defined PFR of 60&#xa0;L/min exhibited peak deposition in Stage 3, corresponding to the central airways. By contrast, Quick30 showed a shift in peak deposition to a deeper region at Stage 4. These trends are reflected in <xref ref-type="fig" rid="F3">Figure 3</xref>, which compares deposition indices across inhalation patterns, indicating that both pulmonary delivery and oropharyngeal deposition increased concurrently under high PFR and FIR conditions.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Drug deposition at each stage of ACI in four inhalation patterns (n &#x3d; 3, mean &#xb1; S.D.) The amount of BUD deposition at each stage of ACI across all inhalation patterns is shown. The ranges of ACI stages corresponding to Oral-Pharynx, whole lung (FPF<sub>WL</sub>), and peripheral airway (FPF<sub>PA</sub>) are also indicated.</p>
</caption>
<graphic xlink:href="fphar-17-1774142-g002.tif">
<alt-text content-type="machine-generated">Line graph compares deposition levels in micrograms across different stages and regions for four inhalation flow profiles: Quick60, Slow60, Mild60, and Quick30. Quick60 generally shows the highest peak at Stage 3, followed by Slow60 and Mild60, while Quick30 remains consistently lower. Stages are labeled from Induction port to Filter on the x-axis and include regions Oral-Pharynx and FPF categories. Error bars are present for each data point.</alt-text>
</graphic>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Influence of inhalation pattern on inhalation performance (n &#x3d; 3, mean &#xb1; S.D.). Each panel shows the drug deposition in <bold>(A)</bold> Oral-Pharynx, <bold>(B)</bold> whole lung (FPF<sub>WL</sub>), and <bold>(C)</bold> peripheral airway (FPF<sub>PA</sub>). All indices are represented as a % nominal dose of budesonide (160&#xa0;&#x3bc;g). &#x2a;p &#x3c; 0.05 (Tukey&#x2019;s multiple comparison test).</p>
</caption>
<graphic xlink:href="fphar-17-1774142-g003.tif">
<alt-text content-type="machine-generated">Grouped bar charts compare four conditions (Quick60, Slow60, Mild60, Quick30) across three subplots: oral-pharynx percent (A), FPF subscript WL percent (B), and FPF subscript PA percent (C). Each graph includes error bars, distinct marker shapes, and asterisks indicating statistically significant differences between groups.</alt-text>
</graphic>
</fig>
<p>SEM images of Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> particles obtained before and after inhalation are shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. The undispersed aggregates were observed inside the device before inhalation (<xref ref-type="fig" rid="F4">Figure 4A</xref>). Panels B&#x2013;G show particles deposited on the stages 0 (pharynx region), Stage 3 (central airway) and Stage 5 (peripheral airway) of ACI, respectively, after a single inhalation. The upper images correspond to Quick60, and the lower images correspond to Quick30. Both inhalation patterns, aggregated drug particles larger than 10&#xa0;&#x3bc;m were observed at stage 0. Partial disaggregation was evident in Stage 3, whereas Stage 5 showed well-dispersed fine particles. However, in Quick30, coarser agglomerates were observed in Stage 0. In addition, <xref ref-type="fig" rid="F5">Figure 5</xref> shows the geometric particle size distribution of particles deposited on Stage 3 using the AI-based particle size analysis. The image analysis appropriately identified the deagglomerated primary particles (<xref ref-type="fig" rid="F5">Figures 5A,B</xref>). Furthermore, a sharp particle size distribution was confirmed, with a median particle diameter (D<sub>50</sub>) of 2.82&#xa0;&#x3bc;m.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Scanning electron micrographs of particles collected from Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> device and different ACI stages. <bold>(A)</bold> Undispersed aggregates inside the device before inhalation. Deposited particles at Stage 0 (pharynx region) under Quick60 <bold>(B)</bold> and Quick30 <bold>(C)</bold>, Stage 3 (central airway) under Quick60 <bold>(D)</bold> and Quick30 <bold>(E)</bold>, and Stage 5 (peripheral airway) under Quick60 <bold>(F)</bold> and Quick30 <bold>(G)</bold>. Scale bar, 10&#xa0;&#xb5;m.</p>
</caption>
<graphic xlink:href="fphar-17-1774142-g004.tif">
<alt-text content-type="machine-generated">Seven grayscale scanning electron microscope images labeled A to G display varying distributions and densities of clustered and dispersed micro- or nanoparticles on a textured background, each with a ten micrometer scale bar for reference.</alt-text>
</graphic>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Geometric particle size distribution of particles deposited on ACI Stage 3 after inhalation of Quick60. <bold>(A)</bold> SEM images of particles deposited on ACI Stage 3 (Scale bar &#x3d; 10&#xa0;&#xb5;m). <bold>(B)</bold> Particle images detected by the AI-based particle size analysis software GeXeL, with detected particles highlighted in green. <bold>(C)</bold> Histogram and <bold>(D)</bold> calculated parameters of the particle size distribution. Data are presented as mean &#xb1; standard deviation (n &#x3d; 4).</p>
</caption>
<graphic xlink:href="fphar-17-1774142-g005.tif">
<alt-text content-type="machine-generated">Panel A shows a grayscale electron micrograph displaying numerous particles on a surface, scale bar labeled 10 micrometers; panel B displays the same micrograph with green particle outlines and numerical labels. Panel C depicts a line graph of relative frequency versus geometric diameter in micrometers, showing a peak near 2 to 3 micrometers. Panel D contains a data table summarizing particle count per image (702 &#xB1; 23) and geometric diameters D10 (1.85 &#xB1; 0.06 &#x3BC;m), D50 (2.82 &#xB1; 0.13 &#x3BC;m), and D90 (4.28 &#xB1; 0.06 &#x3BC;m).</alt-text>
</graphic>
</fig>
<p>The results of the univariate regression analyses for model fitting are shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. In <xref ref-type="table" rid="T3">Table 3</xref>, we list the best-fit model types and associated equations for each inhalation performance. Furthermore, model evaluation metrics, including the AIC, RMSE, and MAE for all univariate regression models, are summarized in <xref ref-type="table" rid="T4">Table 4</xref>. In the case of FPF<sub>WL</sub> and FPF<sub>PA</sub>, linear models with PFR exhibited strong correlations (<italic>R</italic>
<sup>2</sup> &#x3d; 0.81&#x2013;0.82), whereas AUC<sub>FR&#xd7;PE</sub> showed a better fit with the Hill model, achieving the highest <italic>R</italic>
<sup>2</sup> of 0.86 for FPF<sub>WL</sub>. In addition, a high correlation was confirmed between FR at PE peak end and the Hill model. By contrast, oropharyngeal indices were significantly predicted by the linear model with FR at PE peak top/end, and the Hill model with FIR. Whereas the logX model using AUC<sub>FR&#xd7;PE</sub> and linear model using PFR also showed moderate predictive power.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Regression models describing the relationship between inhalation performance and inhalation/particle emission parameters. Representative fits of the optimal models selected for predicting drug deposition in the oropharynx and lungs. Each black point represents the observed value in all inhalation patterns, and the red line indicates the regression model.</p>
</caption>
<graphic xlink:href="fphar-17-1774142-g006.tif">
<alt-text content-type="machine-generated">Matrix of twenty-seven scatter plots with red trend lines, organized in three rows labeled Oral-Pharynx, FPF_WL, FPF_PA, and nine multiple columns representing variables such as  Defined PFR, Actual PFR, FIR, Peak PE, AUC_PE, AUC_FR&#xd7;PE, and FR at different PE phases. Each plot shows data points with corresponding R-squared values indicating the strength of correlation between the row and column variables.</alt-text>
</graphic>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Optimal univariate regression models for predicting inhalation performance parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Object variable</th>
<th align="center">Explanatory variables</th>
<th align="center">Equation</th>
<th align="center">Model</th>
<th align="center">
<italic>R</italic>
<sup>2</sup>
</th>
<th align="center">RMSE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="center">Oral-pharynx</td>
<td align="center">FR at PE peak top</td>
<td align="center">
<inline-formula id="inf1">
<mml:math id="m12">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
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<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.3</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.87</mml:mn>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Linear</td>
<td align="center">0.82</td>
<td align="center">3.2%</td>
</tr>
<tr>
<td align="center">FIR</td>
<td align="center">
<inline-formula id="inf2">
<mml:math id="m13">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
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<mml:mrow>
<mml:msup>
<mml:mn>1.47</mml:mn>
<mml:mn>3</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Hill</td>
<td align="center">0.76</td>
<td align="center">8.1%</td>
</tr>
<tr>
<td align="center">FR at PE peak end</td>
<td align="center">
<inline-formula id="inf3">
<mml:math id="m14">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.2</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.63</mml:mn>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Linear</td>
<td align="center">0.74</td>
<td align="center">3.9%</td>
</tr>
<tr>
<td rowspan="3" align="center">FPF<sub>WL</sub>
</td>
<td align="center">AUC<sub>FR&#xd7;PE</sub>
</td>
<td align="center">
<inline-formula id="inf4">
<mml:math id="m15">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>60</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mn>2.14</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mn>2.87</mml:mn>
<mml:mn>2.14</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mn>2.14</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Hill</td>
<td align="center">0.86</td>
<td align="center">5.0%</td>
</tr>
<tr>
<td align="center">Actual PFR</td>
<td align="center">
<inline-formula id="inf5">
<mml:math id="m16">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>9.1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.97</mml:mn>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Linear</td>
<td align="center">0.81</td>
<td align="center">5.8%</td>
</tr>
<tr>
<td align="center">FR at PE peak end</td>
<td align="center">
<inline-formula id="inf6">
<mml:math id="m17">
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<mml:mi mathvariant="normal">y</mml:mi>
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<mml:mrow>
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<mml:mi mathvariant="normal">x</mml:mi>
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</td>
<td align="center">Hill</td>
<td align="center">0.81</td>
<td align="center">5.8%</td>
</tr>
<tr>
<td rowspan="3" align="center">FPF<sub>PA</sub>
</td>
<td align="center">Actual PFR</td>
<td align="center">
<inline-formula id="inf7">
<mml:math id="m18">
<mml:mrow>
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<td align="center">Linear</td>
<td align="center">0.82</td>
<td align="center">1.1%</td>
</tr>
<tr>
<td align="center">AUC<sub>FR&#xd7;PE</sub>
</td>
<td align="center">
<inline-formula id="inf8">
<mml:math id="m19">
<mml:mrow>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
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<mml:mrow>
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</td>
<td align="center">Hill</td>
<td align="center">0.74</td>
<td align="center">1.4%</td>
</tr>
<tr>
<td align="center">FR at PE peak end</td>
<td align="center">
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<mml:mrow>
<mml:msup>
<mml:mn>30.8</mml:mn>
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<mml:mi mathvariant="normal">x</mml:mi>
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</td>
<td align="center">Hill</td>
<td align="center">0.73</td>
<td align="center">1.4%</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>For each outcome, the explanatory variable and corresponding prediction equation showing the highest model fit are listed. RMSE: root mean square error.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Model fitting statistics, including <italic>R</italic>
<sup>2</sup>, AIC, RMSE, and MAE, for each explanatory and outcome pair.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">
<italic>R</italic>
<sup>2</sup>
</th>
<th align="left">Defined PFR</th>
<th align="left">Actual PFR</th>
<th align="left">FIR</th>
<th align="left">Peak PE</th>
<th align="left">AUC<sub>PE</sub>
</th>
<th align="left">AUC<sub>FR&#xd7;PE</sub>
</th>
<th align="left">FR at PE peak start</th>
<th align="left">FR at PE peak top</th>
<th align="left">FR at PE peak end</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Oral-pharynx</td>
<td align="left">0.49</td>
<td align="left" style="background-color:#FFC7CE">0.51</td>
<td align="left" style="background-color:#FF5050">0.76</td>
<td align="left">0.37</td>
<td align="left">0.21</td>
<td align="left" style="background-color:#FFC7CE">0.61</td>
<td align="left">0.27</td>
<td align="left" style="background-color:#FF5050">0.82</td>
<td align="left" style="background-color:#FF5050">0.74</td>
</tr>
<tr>
<td align="left">FPF<sub>WL</sub>
</td>
<td align="left" style="background-color:#FFC7CE">0.79</td>
<td align="left" style="background-color:#FF5050">0.81</td>
<td align="left" style="background-color:#FFC7CE">0.57</td>
<td align="left" style="background-color:#FFC7CE">0.64</td>
<td align="left" style="background-color:#FFC7CE">0.75</td>
<td align="left" style="background-color:#FF5050">0.86</td>
<td align="left">0.17</td>
<td align="left" style="background-color:#FFC7CE">0.65</td>
<td align="left" style="background-color:#FF5050">0.81</td>
</tr>
<tr>
<td align="left">FPF<sub>PA</sub>
</td>
<td align="left" style="background-color:#FF5050">0.81</td>
<td align="left" style="background-color:#FF5050">0.82</td>
<td align="left">0.43</td>
<td align="left">0.49</td>
<td align="left" style="background-color:#FFC7CE">0.71</td>
<td align="left" style="background-color:#FFC7CE">0.74</td>
<td align="left">0.13</td>
<td align="left" style="background-color:#FFC7CE">0.51</td>
<td align="left" style="background-color:#FFC7CE">0.73</td>
</tr>
<tr>
<td colspan="10" align="left">AIC</td>
</tr>
<tr>
<td align="left">Oral-pharynx</td>
<td align="left">80.4</td>
<td align="left">80.0</td>
<td align="left">92.3</td>
<td align="left">83.1</td>
<td align="left">85.7</td>
<td align="left">77.3</td>
<td align="left">84.8</td>
<td align="left">68.1</td>
<td align="left">72.6</td>
</tr>
<tr>
<td align="left">FPF<sub>WL</sub>
</td>
<td align="left">83.3</td>
<td align="left">82.2</td>
<td align="left">94.2</td>
<td align="left">92.2</td>
<td align="left">89.5</td>
<td align="left">80.6</td>
<td align="left">99.9</td>
<td align="left">91.6</td>
<td align="left">84.3</td>
</tr>
<tr>
<td align="left">FPF<sub>PA</sub>
</td>
<td align="left">43.4</td>
<td align="left">42.3</td>
<td align="left">58.4</td>
<td align="left">57.2</td>
<td align="left">50.2</td>
<td align="left">49.3</td>
<td align="left">61.5</td>
<td align="left">56.7</td>
<td align="left">49.3</td>
</tr>
<tr>
<td colspan="10" align="left">RMSE</td>
</tr>
<tr>
<td align="left">Oral-pharynx</td>
<td align="left">5.4</td>
<td align="left">5.3</td>
<td align="left">8.1</td>
<td align="left">6.0</td>
<td align="left">6.7</td>
<td align="left">4.7</td>
<td align="left">6.4</td>
<td align="left">3.2</td>
<td align="left">3.9</td>
</tr>
<tr>
<td align="left">FPF<sub>WL</sub>
</td>
<td align="left">6.07</td>
<td align="left">5.80</td>
<td align="left">8.78</td>
<td align="left">8.07</td>
<td align="left">7.22</td>
<td align="left">4.99</td>
<td align="left">12.10</td>
<td align="left">7.87</td>
<td align="left">5.82</td>
</tr>
<tr>
<td align="left">FPF<sub>PA</sub>
</td>
<td align="left">1.15</td>
<td align="left">1.10</td>
<td align="left">1.98</td>
<td align="left">1.88</td>
<td align="left">1.40</td>
<td align="left">1.35</td>
<td align="left">2.45</td>
<td align="left">2.00</td>
<td align="left">1.35</td>
</tr>
<tr>
<td colspan="10" align="left">MAE</td>
</tr>
<tr>
<td align="left">Oral-pharynx</td>
<td align="left">4.6</td>
<td align="left">4.5</td>
<td align="left">6.4</td>
<td align="left">4.2</td>
<td align="left">4.9</td>
<td align="left">3.8</td>
<td align="left">5.1</td>
<td align="left">2.8</td>
<td align="left">3.5</td>
</tr>
<tr>
<td align="left">FPF<sub>WL</sub>
</td>
<td align="left">4.34</td>
<td align="left">4.24</td>
<td align="left">7.53</td>
<td align="left">6.85</td>
<td align="left">5.69</td>
<td align="left">3.90</td>
<td align="left">10.28</td>
<td align="left">6.09</td>
<td align="left">3.96</td>
</tr>
<tr>
<td align="left">FPF<sub>PA</sub>
</td>
<td align="left">0.90</td>
<td align="left">0.86</td>
<td align="left">1.67</td>
<td align="left">1.56</td>
<td align="left">1.25</td>
<td align="left">1.20</td>
<td align="left">2.04</td>
<td align="left">1.69</td>
<td align="left">1.14</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Red cells indicate <italic>R</italic>
<sup>2</sup> &#x2265; 0.80, and pink cells indicate <italic>R</italic>
<sup>2</sup> &#x2265; 0.50. AIC: akaike information criterion; MAE: mean absolute error. Abbreviations as in <xref ref-type="table" rid="T1">Tables 1</xref> and <xref ref-type="table" rid="T2">2</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>We evaluated the impact of inhalation pattern on site-specific drug deposition and identified optimal predictors for each site in the respiratory tract. High PFR and FIR enhanced pulmonary drug delivery while also increasing oropharyngeal deposition. Univariate regression revealed that the optimal predictors differed by deposition site, indicating the need for site-specific evaluation in modeling inhalation performance.</p>
<p>DPIs are designed to contain agglomerated drug particles or drug-carrier complexes to avoid adhesion to internal surfaces. Turbulent energy from inhalation facilitates deagglomeration and generates fine particles with aerodynamic diameters suitable for peripheral airway delivery (<xref ref-type="bibr" rid="B34">Islam et al., 2024</xref>; <xref ref-type="bibr" rid="B58">Zheng et al., 2021</xref>). After drug release, these particles deposit through inertial impaction or gravitational sedimentation, exerting pharmacological effects (<xref ref-type="bibr" rid="B17">Demoly et al., 2014</xref>). This mechanism is particularly relevant for Turbuhaler<sup>&#xae;</sup>, which reportedly requires a PFR of at least 60&#xa0;L/min to achieve adequate dispersion (<xref ref-type="bibr" rid="B27">Haidl et al., 2016</xref>). Consistent with this device feature, the overall emitted dose from Turbuhaler<sup>&#xae;</sup> has been reported to increase with inhalation flow rate, typically reaching approximately from 40% to 80% (<xref ref-type="bibr" rid="B22">Farkas et al., 2023</xref>). In the present study, our OE showed a comparable flow rate dependency trend (<xref ref-type="table" rid="T2">Table 2</xref>). Moreover, FPF<sub>WL</sub> and FPF<sub>PA</sub> were significantly higher at 60&#xa0;L/min than at 30&#xa0;L/min, with the maximum FPF<sub>WL</sub> observed being 57.2% under Quick60. SEM images (<xref ref-type="fig" rid="F4">Figure 4</xref>) and particle size distribution analysis (<xref ref-type="fig" rid="F5">Figure 5</xref>) showed dispersed particles at ACI Stages 3 and 5 under Quick60, whereas large agglomerates remained at Stage 0 under Quick30. Additionally, drug deposition at ACI Stage 0 was markedly higher under Quick30 than under the other inhalation patterns (<xref ref-type="fig" rid="F2">Figure 2</xref>). These findings from SEM and ACI data collectively indicate that lower flow rates result in insufficient deagglomeration and the emission of coarse agglomerates, whereas high PFR facilitates progressive deagglomeration along the impactor stages and promotes distal lung delivery.</p>
<p>We found that the value of FPF<sub>WL</sub> ranged from 15.2% to 57.2%, depending on the inhalation pattern. In previous <italic>in vivo</italic> studies with Turbuhaler<sup>&#xae;</sup>, investigators have reported pulmonary deposition values of 26.1% &#xb1; 10.5% in adult patients with asthma (<xref ref-type="bibr" rid="B49">Thorsson et al., 1998</xref>) and a range of 15.6%&#x2013;47.2% in pediatric patients (<xref ref-type="bibr" rid="B55">Wildhaber et al., 1998</xref>). The lower end of the range of values in our study is consistent with these previous reports; however, the upper end exceeded what was previously reported. In clinical settings, 19%&#x2013;78% of patients with asthma or COPD fail to achieve a target PFR of 60&#xa0;L/min during DPI use (<xref ref-type="bibr" rid="B10">Broeders et al., 2001</xref>; <xref ref-type="bibr" rid="B28">Haikarainen et al., 2020</xref>; <xref ref-type="bibr" rid="B6">Bagherisadeghi et al., 2017</xref>; <xref ref-type="bibr" rid="B54">Weers, 2022</xref>). Therefore, ideal conditions, as in the Quick60 inhalation pattern, may not be replicable in real-world practice, contributing to differences between <italic>in vitro</italic> and <italic>in vivo</italic> findings.</p>
<p>The FPF<sub>PA</sub> in this study ranged from 3.1% to 11.9%, which is lower than the reported 8.6%&#x2013;24.8% range from <italic>in silico</italic> analyses of ICS delivery with Turbuhaler<sup>&#xae;</sup> (<xref ref-type="bibr" rid="B53">Watz et al., 2021</xref>). This underestimation likely results from limitations of the ACI device. The ACI is designed for standard flow rates (28.3&#xa0;L/min), and its aerodynamic cut-off diameters shift depending on the applied flow. At higher flow rates, enhanced inertial forces reduce the cut-off diameters of each stage, leading to premature capture of fine particles in upstream stages (<xref ref-type="bibr" rid="B57">Yoshida et al., 2017</xref>; <xref ref-type="bibr" rid="B36">Kamiya et al., 2009</xref>; <xref ref-type="bibr" rid="B3">Almeziny et al., 2025</xref>; <xref ref-type="bibr" rid="B51">van Holsbeke et al., 2018</xref>). In the present study, Oral-Pharynx increased under the higher PFR and FIR conditions (<xref ref-type="fig" rid="F3">Figure 3A</xref>), and peak deposition shifted from Stage 3 to Stage 4 under Quick30 (<xref ref-type="fig" rid="F2">Figure 2</xref>). These results suggest the occurrence of this inertial force impaction phenomenon. Conversely, because the deagglomeration of drug aggregates increases under high flow rate conditions, the Turbuhaler<sup>&#xae;</sup> yielded higher FPF<sub>PA</sub> results at higher flow rates (<xref ref-type="fig" rid="F3">Figure 3C</xref>). As site-specific deposition of DPI formulations is determined by the balance between deagglomeration efficacy and inertial impaction, it is crucial to predict site-specific deposition across a wide range of inhalation patterns. Although this may lead to underestimation of peripheral delivery in absolute terms, the evaluation by ACI grouping remains valuable for assessing the relative influence of inhalation patterns on site-specific drug deposition.</p>
<p>Additionally, increased FIR was associated with elevated drug deposition in the oropharyngeal region, particularly under Quick60 conditions. Oropharyngeal deposition was higher at steeper flow acceleration, indicating that excessive FIR may enhance drug impaction in the upper airway. This phenomenon is consistent with the results of previous <italic>in silico</italic> studies that showed that particles in the 5&#x2013;10&#xa0;&#x3bc;m range are prone to inertial impaction at elevated flow rates (<xref ref-type="bibr" rid="B48">Sosnowski et al., 2006</xref>; <xref ref-type="bibr" rid="B35">Kadota et al., 2022</xref>). The oropharyngeal deposition we observed in the present study (10.5%&#x2013;36.3%) was lower than that reported in previous <italic>in vivo</italic> studies with Turbuhaler<sup>&#xae;</sup>, where deposition to the oropharyngeal region ranged from 12.8% to 61.8% (<xref ref-type="bibr" rid="B55">Wildhaber et al., 1998</xref>; <xref ref-type="bibr" rid="B32">Hirst et al., 2001</xref>; <xref ref-type="bibr" rid="B18">Devadason et al., 1997</xref>). Such variability among studies is likely influenced by inter-individual differences in inhalation techniques, device handling, tongue positioning, and pharyngeal anatomy (<xref ref-type="bibr" rid="B48">Sosnowski et al., 2006</xref>; <xref ref-type="bibr" rid="B56">Xi and Yang, 2019</xref>). In the present study, we used the USP induction port (USP-IP), ACI cone and Stage 0 to Stage 2 as the surrogates for oropharyngeal regions. Although the USP-IP lacks anatomical fidelity, combining it with Stage 0 to Stage2 and applying cooling to reduce re-scattering (<xref ref-type="bibr" rid="B59">Zhou et al., 2011</xref>) enabled detection of flow-dependent differences in oropharyngeal deposition.</p>
<p>To identify the predictors of drug deposition, univariate regression analysis was performed using the inhalation flow rate and particle emission signal. Generally, for Turbuhaler<sup>&#xae;</sup>, FPF&#x3c;5&#xa0;&#xb5;m increases with inspiratory flow rate, although several studies have reported that the incremental gain in FPF&#x3c;5&#xa0;&#xb5;m diminishes at excessively high flow rates (<xref ref-type="bibr" rid="B22">Farkas et al., 2023</xref>). This behavior is considered to reflect a shift from disaggregation by shear stress within the device to enhanced inertial impaction in the upper airways. On this basis, we assumed that particle emission signal indices representing drug release may also exhibit nonlinear behavior. Accordingly, we adopted four different mathematical models (linear, logarithmic, Hill, and Emax) to capture such potential nonlinearities. As summarized in <xref ref-type="table" rid="T3">Table 3</xref>, pulmonary deposition indices (FPF<sub>WL</sub> and FPF<sub>PA</sub>) correlated strongly with actual PFR, AUC<sub>FR&#xd7;PE</sub>, and FR at PE peak end. These predictors reflect the intensity and duration of inhalation and drug release, suggesting that sustained inhalation efforts may be related to lung deposition. By contrast, oropharyngeal deposition showed strong correlation with the parameters related to the early phase of inhalation, namely, FR at PE peak top/end and FIR. Unlike time-averaged indices such as AUC<sub>FR&#xd7;PE</sub>, FIR and FR at PE peak top/end are reflective of initial flow acceleration and the onset of turbulent airflow, both of which promote inertial impaction within proximal-airway structures.</p>
<p>Notably, AUC<sub>FR&#xd7;PE</sub> was a significant predictor for lung deposition. Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup> contains micronized drug particles blended with fine lactose particles of size &#x3c;10&#xa0;&#x3bc;m, which are loaded as large and soft agglomerates (&#x223c;0.5&#xa0;mm in size) (<xref ref-type="bibr" rid="B41">Leung et al., 2015</xref>). Accordingly, the particle emission signals are likely to reflect light from both drug and lactose particles. As a result, even if lactose contributes to the particle emission signals, drug particle release involves a stepwise deagglomeration process that is dependent on the level of shear stress, making it difficult to describe the relationship using a simple linear model. Whether similar relationships between site-specific drug deposition and particle emission signals can be observed for DPIs with different formulation designs and deagglomeration mechanisms remains to be investigated.</p>
<p>By contrast, oropharyngeal deposition was best described by a linear model with FR at PE peak top. This likely reflects a process dominated by inertial impaction of particles on the upper airway walls, which increases proportionally with the magnitude of initial inhalation flow. In contrast to pulmonary deposition, which involves nonlinear processes such as stepwise deagglomeration, oropharyngeal deposition followed a more direct relationship in which the strength of inhalation was linearly associated with the amount of deposition. These findings highlight the need for site-specific model selection that captures the mechanisms underlying aerosol deposition, even when using the same predictors.</p>
<p>Traditional lung deposition predictions rely primarily on aerodynamic particle size and inhalation flow rates (<xref ref-type="bibr" rid="B33">Horv&#xe1;th et al., 2020</xref>; <xref ref-type="bibr" rid="B42">Longest and Holbrook, 2012</xref>; <xref ref-type="bibr" rid="B38">Kim and Hu, 2006</xref>). Although these emphasize airflow characteristics, they do not consider real-time drug release kinetics. For instance, profiles with comparable PFR can yield different aerosol release depending on the early phase inspiratory dynamics. In contrast, particle emission indices, such as AUC<sub>FR&#xd7;PE</sub>, capture the aerosolization process in real time, improving the ability to potentially predict variability in site-specific deposition across individual inhalation patterns.</p>
<p>This study had several limitations. First, the present analysis was conducted using only Symbicort<sup>&#xae;</sup> Turbuhaler<sup>&#xae;</sup>. Given the flow resistance, the amount and size of drug and lactose differences across inhalers, these models need to be validated with other inhalers. Second, we restricted our analysis to univariate regression models. The class of PFR and FIR was limited, and the intercorrelations among flow rate and PRM indices could lead to overfitting and unstable parameter estimates. Future studies with larger and more diverse inhalation patterns and devices will be required to develop multivariate prediction models. Finally, the clinical relevance of the particle emission signal remains unvalidated, and further human studies are warranted to establish external validity.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>In this study, we demonstrated that regional drug deposition could be predicted based on inhalation pattern&#x2013;dependent flow characteristics and particle emission signal measurements. Indicators reflecting inhalation intensity were effective in predicting pulmonary delivery, whereas parameters representing early-phase flow acceleration were more predictive of oropharyngeal deposition. These findings suggest that distinct factors govern the drug distribution across anatomical sites. Thus, compared to conventional assessments based on individual parameters such as flow rate, real-time flow and emission signals may serve as useful tools for assessing inhalation performance.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>SHat: Data curation, Formal Analysis, Investigation, Visualization, Writing &#x2013; original draft. DH: Conceptualization, Funding acquisition, Project administration, Supervision, Writing &#x2013; review and editing. TK: Resources, Supervision, Writing &#x2013; review and editing. YS: Supervision, Writing &#x2013; review and editing. NI: Supervision, Writing &#x2013; review and editing. YKa: Supervision, Writing &#x2013; review and editing. KI: Supervision, Writing &#x2013; review and editing. YKu: Supervision, Writing &#x2013; review and editing. KU: Supervision, Writing &#x2013; review and editing. SHam: Supervision, Writing &#x2013; review and editing. SU: Supervision, Writing &#x2013; review and editing. SN: Supervision, Writing &#x2013; review and editing. MT: Supervision, Writing &#x2013; review and editing. SS: Supervision, Writing &#x2013; review and editing. MK: Supervision, Writing &#x2013; review and editing. TT: Supervision, Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>We thank the Division of Electron Microscopic Study, Center for Anatomical Studies, Graduate School of Medicine, Kyoto University, for technical assistance with electron microscopy. We would like to thank the Tokico System Solutions, Ltd. for their technical support for inhalation flow measurement. Additionally, we are grateful to Dr. Masataka Kubouchi (KNiT Inc.) for his help with particle size distribution analysis.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1047681/overview">Bingbing Sun</ext-link>, Dalian University of Technology, China</p>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1481297/overview">Jeffry Weers</ext-link>, Consultant, United States</p>
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