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<journal-meta>
<journal-id journal-id-type="nlm-ta">PLoS One</journal-id>
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<journal-title>PLOS One</journal-title>
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<article-id pub-id-type="doi">10.1371/journal.pone.0339390</article-id>
<article-id pub-id-type="publisher-id">PONE-D-25-24350</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research Article</subject>
</subj-group>
<subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Health care</subject><subj-group><subject>Health care facilities</subject><subj-group><subject>Hospitals</subject><subj-group><subject>Intensive care units</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Medical conditions</subject><subj-group><subject>Respiratory disorders</subject><subj-group><subject>Acute respiratory distress syndrome</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Pulmonology</subject><subj-group><subject>Respiratory disorders</subject><subj-group><subject>Acute respiratory distress syndrome</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Critical care and emergency medicine</subject><subj-group><subject>Respiratory failure</subject><subj-group><subject>Acute respiratory distress syndrome</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Medical conditions</subject><subj-group><subject>Respiratory disorders</subject><subj-group><subject>Respiratory failure</subject><subj-group><subject>Acute respiratory distress syndrome</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Pulmonology</subject><subj-group><subject>Respiratory disorders</subject><subj-group><subject>Respiratory failure</subject><subj-group><subject>Acute respiratory distress syndrome</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Pulmonology</subject><subj-group><subject>Chronic obstructive pulmonary disease</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Epidemiology</subject><subj-group><subject>Medical risk factors</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Nephrology</subject><subj-group><subject>Renal diseases</subject><subj-group><subject>Chronic kidney disease</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Epidemiology</subject><subj-group><subject>Medical risk factors</subject><subj-group><subject>Cancer risk factors</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Oncology</subject><subj-group><subject>Cancer risk factors</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Cell biology</subject><subj-group><subject>Cellular types</subject><subj-group><subject>Animal cells</subject><subj-group><subject>Blood cells</subject><subj-group><subject>Red blood cells</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Physics</subject><subj-group><subject>Classical mechanics</subject><subj-group><subject>Pressure</subject><subj-group><subject>Partial pressure</subject></subj-group></subj-group></subj-group></subj-group></subj-group></article-categories>
<title-group>
<article-title>Association of the PaO2/RDW ratio with 7-day mortality and risk of early invasive mechanical ventilation in ICU patients with delirium associated with ARDS: A retrospective cohort study from the MIMIC-IV database</article-title>
<alt-title alt-title-type="running-head">PaO2/RDW ratio and 7-day mortality in ARDS patients with delirium</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Xu</surname>
<given-names>Jiao</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Jin</surname>
<given-names>Jun</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Zou</surname>
<given-names>Shan</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Zheng</surname>
<given-names>Si-Hao</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Zhou</surname>
<given-names>Qing-Shan</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0009-0003-5340-229X</contrib-id>
<name name-style="western">
<surname>Deng</surname>
<given-names>Jiang-Tao</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
<xref ref-type="corresp" rid="cor001">*</xref>
</contrib>
</contrib-group>
<aff id="aff001"><label>1</label> <addr-line>Department of Anesthesiology, The Eighth Affiliated Hospital of Sun Yat-sen University, Shenzhen, Guangdong, China</addr-line></aff>
<aff id="aff002"><label>2</label> <addr-line>Departments of Critical Care Medicine, The University of Hong Kong-Shenzhen Hospital, Shenzhen, Guangdong, China</addr-line></aff>
<contrib-group>
<contrib contrib-type="editor" xlink:type="simple">
<name name-style="western">
<surname>Al-Nimer</surname>
<given-names>Marwan Salih</given-names>
</name>
<role>Editor</role>
<xref ref-type="aff" rid="edit1"/></contrib>
</contrib-group>
<aff id="edit1"><addr-line>University of Diyala College of Medicine, IRAQ</addr-line></aff>
<author-notes>
<fn fn-type="conflict" id="coi001">
<p>The authors have declared that no competing interests exist.</p>
</fn>
<corresp id="cor001">* E-mail: <email xlink:type="simple">lopdeng005@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub"><day>19</day><month>12</month><year>2025</year></pub-date>
<pub-date pub-type="collection"><year>2025</year></pub-date>
<volume>20</volume>
<issue>12</issue>
<elocation-id>e0339390</elocation-id>
<history>
<date date-type="received"><day>6</day><month>5</month><year>2025</year></date>
<date date-type="accepted"><day>6</day><month>12</month><year>2025</year></date>
</history>
<permissions>
<copyright-year>2025</copyright-year>
<copyright-holder>Xu et al</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license>
</permissions>
<self-uri content-type="pdf" xlink:href="info:doi/10.1371/journal.pone.0339390">
</self-uri>
<abstract>
<sec id="sec001">
<title>Background</title>
<p>Delirium is a common complication in patients with acute respiratory distress syndrome (ARDS) and is associated with poor clinical outcomes. However, studies investigating the associations between easily accessible biomarkers and early mortality or the risk of early invasive mechanical ventilation in this population remain poorly defined. This study aimed to investigate the association between the ratio of arterial partial pressure of oxygen to red cell distribution width (PaO2/RDW) and short-term outcomes in ICU patients with delirium associated with ARDS.</p>
</sec>
<sec id="sec002">
<title>Methods</title>
<p>Data were extracted from the Medical Information Mart for Intensive Care IV (MIMIC-IV, version 3.1), a large, publicly available critical care database that contains de-identified health records of patients admitted to Beth Israel Deaconess Medical Center. Adult ARDS patients with at least one positive Confusion Assessment Method for the ICU (CAM-ICU) evaluation were included. The primary outcome was all-cause mortality within seven days after delirium onset, and the secondary outcome was the initiation of invasive mechanical ventilation after ICU admission. Cox proportional hazards and cause-specific Cox regression models were applied to evaluate the associations between the PaO2/RDW ratio and clinical outcomes. Restricted cubic spline (RCS) modeling was used to explore potential nonlinear relationships, and subgroup analyses were performed to assess consistency across clinical strata.</p>
</sec>
<sec id="sec003">
<title>Results</title>
<p>A total of 4,116 patients with ARDS were initially identified, and 1,665 patients with delirium were ultimately included in the final analysis. Compared with the highest PaO2/RDW tertile, patients in the lowest tertile had significantly higher risks of 7-day (adjusted HR = 2.12, 95% CI 1.46–3.09, P &lt; 0.001) and 30-day mortality (adjusted HR = 1.72, 95% CI 1.33–2.22, P &lt; 0.001). The lowest tertile was also associated with an increased risk of invasive mechanical ventilation (adjusted HR = 2.68, 95% CI 1.16–6.22, P = 0.021). Restricted cubic spline analysis revealed a U-shaped association between the PaO2/RDW ratio and 7-day mortality, with the lowest estimated hazard at approximately 6.7. Subgroup analyses showed consistent associations across age, sex, and comorbidity strata without significant interactions (P for interaction &gt; 0.05).</p>
</sec>
<sec id="sec004">
<title>Conclusions</title>
<p>The PaO2/RDW ratio was independently associated with 7-day mortality after delirium onset and with the early risk of invasive mechanical ventilation among ICU patients with delirium associated with ARDS. As an easily obtainable composite index, the PaO2/RDW ratio may serve as a convenient and informative biomarker for early risk assessment and clinical decision-making in critical care settings.</p>
</sec>
</abstract>
<funding-group>
<funding-statement>The author(s) received no specific funding for this work.</funding-statement>
</funding-group>
<counts>
<fig-count count="7"/>
<table-count count="3"/>
<page-count count="16"/>
</counts>
<custom-meta-group>
<custom-meta id="data-availability">
<meta-name>Data Availability</meta-name>
<meta-value>The data underlying this study are publicly available in the Medical Information Mart for Intensive Care IV (MIMIC-IV) database (version 3.1), accessible at <ext-link ext-link-type="uri" xlink:href="https://physionet.org/content/mimiciv/3.1/" xlink:type="simple">https://physionet.org/content/mimiciv/3.1/</ext-link>. Access to the MIMIC-IV database requires completion of a recognized data use agreement and ethical training through the Collaborative Institutional Training Initiative (CITI) program. The authors had no special access privileges to the data, and others can access the data in the same manner.</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="sec005" sec-type="intro">
<title>Introduction</title>
<p>Acute respiratory distress syndrome (ARDS) is a severe form of acute lung injury characterized by refractory hypoxemia, pulmonary edema [<xref ref-type="bibr" rid="pone.0339390.ref001">1</xref>,<xref ref-type="bibr" rid="pone.0339390.ref002">2</xref>], and high mortality [<xref ref-type="bibr" rid="pone.0339390.ref003">3</xref>,<xref ref-type="bibr" rid="pone.0339390.ref004">4</xref>]. Among survivors of ARDS, delirium frequently occurs during Intensive Care Unit (ICU) stays [<xref ref-type="bibr" rid="pone.0339390.ref005">5</xref>], affecting up to 60–80% of mechanically ventilated patients [<xref ref-type="bibr" rid="pone.0339390.ref006">6</xref>], and is independently associated with increased short-term mortality [<xref ref-type="bibr" rid="pone.0339390.ref007">7</xref>,<xref ref-type="bibr" rid="pone.0339390.ref008">8</xref>], prolonged ventilation, and cognitive impairment [<xref ref-type="bibr" rid="pone.0339390.ref009">9</xref>,<xref ref-type="bibr" rid="pone.0339390.ref010">10</xref>]. The co-existence of ARDS and delirium represents a particularly high-risk clinical phenotype requiring timely identification and management with mechanical ventilation.</p>
<p>Currently, there is a relative lack of reliable and easily accessible biomarkers for stratifying the risks of early mortality and ventilatory management in ARDS patients complicated by delirium. The arterial partial pressure of oxygen (PaO2) reflects gas exchange efficiency [<xref ref-type="bibr" rid="pone.0339390.ref011">11</xref>], while red cell distribution width (RDW) is increasingly recognized as a systemic inflammation marker [<xref ref-type="bibr" rid="pone.0339390.ref012">12</xref>] and predictor of poor outcomes in critically ill patients [<xref ref-type="bibr" rid="pone.0339390.ref013">13</xref>]. A higher RDW upon admission is associated with an increased risk of long-term mortality in patients with acute respiratory failure (ARF) during a 3-year follow-up. RDW can serve as a practical and reliable prognostic marker for predicting disease progression and patient outcomes [<xref ref-type="bibr" rid="pone.0339390.ref014">14</xref>]. However, the clinical utility of the PaO2/RDW ratio—a composite index reflecting both oxygenation and systemic response—has not been adequately explored in this subset of patients.</p>
<p>Previous studies have evaluated RDW in sepsis [<xref ref-type="bibr" rid="pone.0339390.ref015">15</xref>] and respiratory failure [<xref ref-type="bibr" rid="pone.0339390.ref016">16</xref>], but its role of PaO2/RDW ratio in ARDS patients with concurrent delirium remains unclear. Arterial PaO2 serves as a direct measure of pulmonary gas exchange efficiency [<xref ref-type="bibr" rid="pone.0339390.ref017">17</xref>], while RDW, reflecting heterogeneity in erythrocyte size, is often elevated in states of systemic inflammation or altered erythropoiesis, conditions [<xref ref-type="bibr" rid="pone.0339390.ref018">18</xref>], potentially linked to hypoxia-induced tissue damage. Whether this ratio is associated with short-term mortality and early ventilation is of particular interest, given the urgent need for accessible clinical tools.</p>
<p>Therefore, this study aims to investigate the association between the PaO2/RDW ratio and 7-day mortality in ICU patients with delirium associated with ARDS. We also explore its relationship with early invasive mechanical ventilation following ICU admission. Our goal is to identify a simple and robust biomarker to support early risk stratification and improve clinical outcomes in this high-risk population.</p>
</sec>
<sec id="sec006" sec-type="materials|methods">
<title>Methods</title>
<sec id="sec007">
<title>Data access</title>
<p>The data utilized in this study was sourced from version 3.1 of the Medical Information Mart for Intensive Care IV (MIMIC-IV) database. This comprehensive dataset comprises de-identified patient records from individuals admitted to the emergency department or ICU at the Beth Israel Deaconess Medical Center (Boston, MA, USA) during the period from 2008 to 2022 [<xref ref-type="bibr" rid="pone.0339390.ref019">19</xref>]. The MIMIC-IV database was developed and maintained by the Massachusetts Institute of Technology and Beth Israel Deaconess Medical Center, where all patient data were fully de-identified in compliance with institutional and national research ethics standards. The lead author (Jiang-Tao Deng) completed the required Collaborative Institutional Training Initiative (CITI) program and obtained authorized access to the database (Certificate No. 61424658).</p>
</sec>
<sec id="sec008">
<title>Ethics statement</title>
<p>The study was approved by the Institutional Review Boards of the Massachusetts Institute of Technology and Beth Israel Deaconess Medical Center. The MIMIC-IV database consists of fully de-identified health data; therefore, informed consent and additional ethical approval were not required.</p>
</sec>
<sec id="sec009">
<title>Eligibility criteria</title>
<p>Experienced clinical researchers established the inclusion and exclusion criteria for this study.</p>
<sec id="sec010">
<title>Inclusion criteria.</title>
<p>Adult patients (aged ≥18 years) were eligible for inclusion if they met the following criteria: (1)diagnosed with ARDS according to the 2023 Global Definition of ARDS; (2) admitted to the ICU for the first time during the index hospitalization; (3) had at least one PaO2 measurement and one RDW measurement obtained within the first 24 hours after ICU admission; and (4) underwent at least one documented Confusion Assessment Method for the Intensive Care Unit (CAM-ICU) evaluation during the ICU stay.</p>
</sec>
<sec id="sec011">
<title>Exclusion criteria.</title>
<p>The exclusion criteria were as follows: (1) patients without available CAM-ICU assessment results; (2) patients younger than 18 years; (3) patients with missing RDW or PaO2 data on the first day of ICU admission.</p>
</sec>
</sec>
<sec id="sec012">
<title>Clinical variable extraction</title>
<p>Clinical variables were extracted from the MIMIC-IV database based on clinical relevance and data completeness. Variables with more than 5% missing values were excluded (<xref ref-type="supplementary-material" rid="pone.0339390.s002">S1 Fig</xref>). The collected information encompassed the following domains:</p>
<list list-type="simple">
<list-item>
<label>(1)</label>
<p>Demographic characteristics: age and sex.</p>
</list-item>
<list-item>
<label>(2)</label>
<p>Comorbidities: diabetes mellitus, hypertension, malignancy, chronic kidney disease (CKD), congestive heart failure (CHF), and chronic obstructive pulmonary disease (COPD).</p>
</list-item>
<list-item>
<label>(3)</label>
<p>Laboratory parameters: baseline biochemical and hematologic indicators obtained within the first 24 hours after ICU admission, including glucose, sodium (Na), potassium (K), anion gap (AG), creatinine (Cr), blood urea nitrogen (BUN), magnesium (Mg), phosphate (Phos), total calcium (Ca), base excess (BE), partial pressure of carbon dioxide (pCO2), partial pressure of oxygen (PaO2), hemoglobin (Hb), platelet count (PLT), white blood cell count (WBC), mean corpuscular volume (MCV), red cell distribution width (RDW), and mean corpuscular hemoglobin concentration (MCHC).</p>
</list-item>
<list-item>
<label>(4)</label>
<p>Physiological and clinical assessments: neurological status and disease severity within the first 24 hours after ICU admission were evaluated using the Glasgow Coma Scale (GCS) and Sequential Organ Failure Assessment (SOFA) scores, respectively.</p>
</list-item>
<list-item>
<label>(5)</label>
<p>Derived index: The PaO2/RDW ratio was calculated as an integrated indicator reflecting oxygenation status relative to erythrocyte heterogeneity.</p>
</list-item>
<list-item>
<label>(6)</label>
<p>Clinical outcomes included (1) all-cause mortality within seven days following the onset of delirium, and (2) the requirement for invasive mechanical ventilation after ICU admission among patients with delirium.</p>
</list-item>
</list>
</sec>
<sec id="sec013">
<title>Study endpoints</title>
<p>The primary exposure variable in this study was the PaO2/RDW ratio. The primary outcome was all-cause mortality within seven days following the onset of delirium, whereas the secondary outcome was the initiation of invasive mechanical ventilation after ICU admission among patients with delirium.</p>
</sec>
<sec id="sec014">
<title>Statistical analysis</title>
<p>Statistical analyses were performed using R software (version 4.4.1). The normality of continuous variables was assessed using the Shapiro–Wilk test. Non-normally distributed data were presented as medians with interquartile ranges (IQRs) and compared using the Mann–Whitney U test. Categorical variables were expressed as counts and percentages, and differences between groups were evaluated using the Chi-squared test or Fisher’s exact test, as appropriate.</p>
<p>Kaplan–Meier (KM) survival curves were generated to evaluate the association between the PaO2/RDW ratio and 7-day mortality, with differences in survival distributions assessed using the log-rank test. Hazard ratios (HRs) and 95% confidence intervals (CIs) were estimated using Cox proportional hazards regression models. A cause-specific Cox regression model was further applied to assess the association between the PaO2/RDW ratio and the requirement for invasive mechanical ventilation after ICU admission. The proportional hazards assumption was examined using Schoenfeld residuals, and time-dependent covariates were incorporated where appropriate.</p>
<p>Restricted cubic spline (RCS) analysis was used to examine potential nonlinear associations of the PaO2/RDW ratio with 7-day mortality and the requirement for invasive mechanical ventilation. The overall significance was tested using the likelihood ratio test, whereas nonlinearity was evaluated using the P-nonlinear value.</p>
<p>Subgroup analyses were performed to assess the association between the PaO2/RDW ratio and 7-day mortality across predefined subgroups, including age, sex, comorbidities (hypertension, diabetes, CHF, malignancy, CKD, COPD), and SOFA score. Statistical significance was defined as a two-tailed P &lt; 0.05.</p>
</sec>
</sec>
<sec id="sec015" sec-type="results">
<title>Results</title>
<sec id="sec016">
<title>Patient selection and clinical characteristics</title>
<p>From 4,116 ARDS patients identified in the MIMIC-IV database, those younger than 18 years or without positive CAM-ICU results were excluded (n = 2,082). After further excluding patients with missing first-day data (n = 124) or missing RDW and PaO2 values (n = 245), a total of 1,665 adult patients were included in the final analysis (<xref ref-type="fig" rid="pone.0339390.g001">Fig 1</xref>). Patients were then divided into three groups according to the tertiles of the PaO2/RDW ratio.</p>
<fig id="pone.0339390.g001" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g001</object-id><label>Fig 1</label><caption><title>Flowchart of patient selection.</title><p>Among 4,116 ICU admissions meeting the 2023 Global ARDS Definition, 2,034 had at least one positive CAM-ICU assessment. After excluding patients with missing day-1 data (n = 124) or missing RDW and PaO2 values (n = 245), 1,665 adults were included in the final analysis. Abbreviations: ARDS, acute respiratory distress syndrome; CAM-ICU, Confusion Assessment Method for the ICU; RDW, red cell distribution width; PaO2, arterial partial pressure of oxygen.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g001" xlink:type="simple"/></fig>
<p><xref ref-type="table" rid="pone.0339390.t001">Table 1</xref> summarizes the baseline characteristics of 1,665 ICU patients with delirium associated with ARDS, stratified by tertiles of the PaO2/RDW ratio. The normality of continuous variables was assessed using the Shapiro–Wilk test. Non-normally distributed variables were analyzed using the Kruskal–Wallis test, and categorical variables were compared using the χ² test. As shown in <xref ref-type="table" rid="pone.0339390.t001">Table 1</xref>, age and sex distributions were similar across tertiles (P &gt; 0.05). Significant differences were observed in several laboratory parameters. Patients in higher PaO2/RDW tertiles had higher pH, Hb, and MCHC, but lower AG, Cr, BUN, K, Mg, Phos, and BE levels (all P &lt; 0.05). The median SOFA score decreased progressively from 6.08 in tertile 1 to 4.88 in tertile 3 (P &lt; 0.001), indicating lower disease severity with higher ratios. Similarly, higher PaO2/RDW ratios were associated with lower rates of invasive mechanical ventilation (42.3%, 40.9%, and 35.1%; P = 0.034) and 7-day mortality (20.9%, 9.5%, and 7.6%; P &lt; 0.001).</p>
<table-wrap id="pone.0339390.t001" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.t001</object-id><label>Table 1</label><caption><title>Baseline characteristics of patients stratified by tertiles of the PaO2/RDW ratio.</title></caption>
<alternatives><graphic id="pone.0339390.t001g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.t001" xlink:type="simple"/><table><colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="left">Variables</th>
<th align="left">T1 (n = 555)<break/><break/>[2.02, 2.83]</th>
<th align="left">T2 (n = 555)<break/><break/>[3.89, 4.94]</th>
<th align="left">T3 (n = 555)<break/><break/>[6.16, 8.23]</th>
<th align="left">p-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Age (median [IQR])</td>
<td align="left">70.57 [60.38, 81.16]</td>
<td align="left">68.75 [58.46, 79.26]</td>
<td align="left">70.96 [57.91, 80.42]</td>
<td align="left">0.144</td>
</tr>
<tr>
<td align="left">Female, n (%)</td>
<td align="left">301 (54.2)</td>
<td align="left">306 (55.1)</td>
<td align="left">322 (58.0)</td>
<td align="left">0.415</td>
</tr>
<tr>
<td align="left">Glucose (median [IQR])</td>
<td align="left">131.25 [105.12, 169.00]</td>
<td align="left">134.20 [110.83, 160.15]</td>
<td align="left">136.50 [115.00, 163.30]</td>
<td align="left">0.133</td>
</tr>
<tr>
<td align="left">Na (median [IQR])</td>
<td align="left">138.00 [134.75, 140.50]</td>
<td align="left">138.67 [136.00, 141.35]</td>
<td align="left">138.50 [136.00, 141.00]</td>
<td align="left">0.002</td>
</tr>
<tr>
<td align="left">K (median [IQR])</td>
<td align="left">4.20 [3.81, 4.65]</td>
<td align="left">4.15 [3.85, 4.60]</td>
<td align="left">4.05 [3.78, 4.44]</td>
<td align="left">0.001</td>
</tr>
<tr>
<td align="left">pH (median [IQR])</td>
<td align="left">7.30 [7.14, 7.37]</td>
<td align="left">7.34 [7.20, 7.39]</td>
<td align="left">7.36 [7.29, 7.42]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">AG (median [IQR])</td>
<td align="left">16.00 [13.50, 19.00]</td>
<td align="left">15.00 [12.55, 17.50]</td>
<td align="left">14.50 [12.50, 16.45]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">Cr (median [IQR])</td>
<td align="left">1.35 [0.90, 2.10]</td>
<td align="left">1.15 [0.80, 1.80]</td>
<td align="left">1.03 [0.75, 1.54]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">BUN (median [IQR])</td>
<td align="left">29.00 [19.00, 46.83]</td>
<td align="left">25.00 [16.50, 37.00]</td>
<td align="left">21.50 [14.50, 34.17]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">Mg (median [IQR])</td>
<td align="left">2.00 [1.83, 2.20]</td>
<td align="left">2.00 [1.87, 2.19]</td>
<td align="left">1.98 [1.80, 2.13]</td>
<td align="left">0.017</td>
</tr>
<tr>
<td align="left">Phos (median [IQR])</td>
<td align="left">3.70 [2.80, 4.84]</td>
<td align="left">3.70 [2.95, 4.56]</td>
<td align="left">3.50 [2.90, 4.21]</td>
<td align="left">0.02</td>
</tr>
<tr>
<td align="left">Ca (median [IQR])</td>
<td align="left">8.13 [7.70, 8.60]</td>
<td align="left">8.20 [7.80, 8.70]</td>
<td align="left">8.15 [7.75, 8.60]</td>
<td align="left">0.104</td>
</tr>
<tr>
<td align="left">BE (median [IQR])</td>
<td align="left">−2.00 [−5.50, 1.00]</td>
<td align="left">−0.86 [−3.86, 1.67]</td>
<td align="left">−0.67 [−3.40, 1.16]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">pCO2 (median [IQR])</td>
<td align="left">42.00 [35.77, 48.46]</td>
<td align="left">42.00 [36.79, 47.58]</td>
<td align="left">39.00 [35.23, 43.63]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">Hb (median [IQR])</td>
<td align="left">9.90 [8.43, 11.50]</td>
<td align="left">10.03 [8.86, 11.50]</td>
<td align="left">10.46 [9.07, 11.96]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">PLT (median [IQR])</td>
<td align="left">173.86 [117.00, 234.45]</td>
<td align="left">176.50 [127.25, 241.75]</td>
<td align="left">184.00 [134.88, 235.55]</td>
<td align="left">0.058</td>
</tr>
<tr>
<td align="left">WBC (median [IQR])</td>
<td align="left">11.95 [8.18, 16.28]</td>
<td align="left">11.60 [8.40, 15.57]</td>
<td align="left">11.73 [8.68, 15.39]</td>
<td align="left">0.699</td>
</tr>
<tr>
<td align="left">MCV (median [IQR])</td>
<td align="left">93.00 [88.33, 97.67]</td>
<td align="left">92.00 [87.63, 96.00]</td>
<td align="left">92.00 [88.00, 96.00]</td>
<td align="left">0.189</td>
</tr>
<tr>
<td align="left">RDW (median [IQR])</td>
<td align="left">15.70 [14.46, 17.30]</td>
<td align="left">15.03 [13.90, 16.50]</td>
<td align="left">14.40 [13.50, 15.56]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">MCHC (median [IQR])</td>
<td align="left">32.13 [31.00, 33.17]</td>
<td align="left">32.47 [31.30, 33.51]</td>
<td align="left">32.90 [31.92, 33.82]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">GCS (median [IQR])</td>
<td align="left">14.80 [13.86, 15.00]</td>
<td align="left">15.00 [14.00, 15.00]</td>
<td align="left">15.00 [14.29, 15.00]</td>
<td align="left">0.006</td>
</tr>
<tr>
<td align="left">SOFA (median [IQR])</td>
<td align="left">6.08 [3.96, 8.04]</td>
<td align="left">5.75 [3.88, 7.89]</td>
<td align="left">4.88 [3.08, 6.93]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">PaO2/RDW (median [IQR])</td>
<td align="left">2.41 [2.02, 2.83]</td>
<td align="left">4.47 [3.89, 4.94]</td>
<td align="left">6.93 [6.16, 8.23]</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">Diabetes, n (%)</td>
<td align="left">191 (34.4)</td>
<td align="left">209 (37.7)</td>
<td align="left">171 (30.8)</td>
<td align="left">0.056</td>
</tr>
<tr>
<td align="left">Hypertension, n (%)</td>
<td align="left">198 (35.7)</td>
<td align="left">245 (44.1)</td>
<td align="left">273 (49.2)</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">CHF, n (%)</td>
<td align="left">264 (47.6)</td>
<td align="left">224 (40.4)</td>
<td align="left">204 (36.8)</td>
<td align="left">0.001</td>
</tr>
<tr>
<td align="left">Malignancy, n (%)</td>
<td align="left">112 (20.2)</td>
<td align="left">84 (15.1)</td>
<td align="left">92 (16.6)</td>
<td align="left">0.073</td>
</tr>
<tr>
<td align="left">CKD, n (%)</td>
<td align="left">150 (27.0)</td>
<td align="left">135 (24.3)</td>
<td align="left">91 (16.4)</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">COPD, n (%)</td>
<td align="left">72 (13.0)</td>
<td align="left">69 (12.4)</td>
<td align="left">40 (7.2)</td>
<td align="left">0.003</td>
</tr>
<tr>
<td align="left">7-day mortality, n (%)</td>
<td align="left">116 (20.9)</td>
<td align="left">53 (9.5)</td>
<td align="left">42 (7.6)</td>
<td align="left">&lt;0.001</td>
</tr>
<tr>
<td align="left">Invasive mechanical ventilation, n (%)</td>
<td align="left">235 (42.3)</td>
<td align="left">227 (40.9)</td>
<td align="left">195 (35.1)</td>
<td align="left">0.034</td>
</tr>
</tbody>
</table>
</alternatives><table-wrap-foot>
<fn id="t001fn001"><p>Abbreviations: Na, sodium; K, potassium; AG, anion gap; Cr, creatinine; BUN, blood urea nitrogen; Mg, magnesium; Phos, phosphate; Ca, calcium; BE, base excess; pCO2, partial pressure of carbon dioxide; Hb, hemoglobin; PLT, platelet count; WBC, white blood cell; MCV, mean corpuscular volume; RDW, red cell distribution width; MCHC, mean corpuscular hemoglobin concentration; GCS, Glasgow Coma Scale; SOFA, Sequential Organ Failure Assessment; PaO2/RDW, ratio of arterial partial pressure of oxygen to red cell distribution width; CHF, congestive heart failure; CKD, chronic kidney disease; COPD, chronic obstructive pulmonary disease.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec017">
<title>Feature selection</title>
<p>Initially, 39 candidate variables were identified based on clinical relevance and data availability from the MIMIC-IV database. One-hot encoding was applied to unordered categorical variables. A correlation heatmap was then constructed to visualize inter-variable relationships (<xref ref-type="fig" rid="pone.0339390.g002">Fig 2</xref>). To detect multicollinearity, a correlation threshold-based approach was used, with multicollinearity defined as an absolute correlation coefficient greater than 0.9. Consequently, bicarbonate, hematocrit, PaO2, and calculated total CO2 were excluded from further analyses. Subsequently, variance inflation factor (VIF) analysis was performed to further assess multicollinearity. Variables with a VIF ≥ 5 were iteratively removed until all remaining variables had acceptable collinearity (<xref ref-type="supplementary-material" rid="pone.0339390.s001">S1 Table</xref>). To identify the most relevant variables for subsequent analyses, both least absolute shrinkage and selection operator (LASSO) regression and the Boruta algorithm were applied. As shown in <xref ref-type="fig" rid="pone.0339390.g003">Fig 3A</xref>–<xref ref-type="fig" rid="pone.0339390.g003">B</xref>, the LASSO model identified 17 variables with non-zero coefficients at the optimal regularization parameter (λ). The Boruta algorithm (<xref ref-type="fig" rid="pone.0339390.g003">Fig 3C</xref>–<xref ref-type="fig" rid="pone.0339390.g003">D</xref>) further identified 13 important variables by ranking their relative importance through random forest classification. The intersection of variables selected by both methods was considered the most stable set of predictors and was retained for subsequent multivariable regression analyses. The final selected variables included age, AG, Cr, BUN, Phos, BE, RDW, MCHC, GCS, and the PaO2/RDW ratio. In addition, the SOFA score and major comorbidities were incorporated based on clinical relevance.</p>
<fig id="pone.0339390.g002" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g002</object-id><label>Fig 2</label><caption><title>Correlation heatmap of baseline variables before removal of highly correlated predictors.</title><p>The heatmap displays pairwise correlation coefficients among baseline variables. Red indicates positive correlations, and blue indicates negative correlations. Variables with an absolute correlation coefficient greater than 0.9 were considered highly correlated and subsequently excluded from further analyses. Abbreviations as in <xref ref-type="table" rid="pone.0339390.t001">Table 1</xref>.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g002" xlink:type="simple"/></fig>
<fig id="pone.0339390.g003" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g003</object-id><label>Fig 3</label><caption><title>Feature selection using LASSO regression and the Boruta algorithm.</title><p><bold>A.</bold> LASSO cross-validation curve showing the mean binomial deviance versus log λ. The optimal λ (vertical dotted line) minimizes the cross-validated deviance, balancing model fit and complexity. <bold>B.</bold> LASSO coefficient path illustrating the shrinkage of variable coefficients toward zero as the penalty parameter λ increases. The red dashed line indicates the optimal λ selected through cross-validation. <bold>C.</bold> Boruta importance history across iterative classifier runs. Green lines represent confirmed important features, yellow indicate tentative features, red denote rejected features, and blue correspond to shadow attributes. <bold>D.</bold> Boruta variable importance plot summarizing the final importance scores. Confirmed important variables are shown in green, tentative in yellow, and rejected in red; box heights indicate variability across iterations.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g003" xlink:type="simple"/></fig>
</sec>
<sec id="sec018">
<title>Kaplan–Meier survival curves for 7-day mortality according to PaO2/RDW tertiles</title>
<p>As shown in <xref ref-type="fig" rid="pone.0339390.g004">Fig 4</xref>, Kaplan–Meier analysis demonstrated a clear gradient in 7-day survival across tertiles of the PaO2/RDW ratio (overall log-rank P &lt; 0.001). Patients in the lowest tertile (T1) had significantly lower survival compared with those in the middle (T2) and highest tertiles (T3) (T1 vs. T2, P &lt; 0.001; T1 vs. T3, p = P &lt; 0.001). No significant difference was observed between T2 and T3 (P &gt; 0.05).</p>
<fig id="pone.0339390.g004" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g004</object-id><label>Fig 4</label><caption><title>Kaplan–Meier survival curves for 7-day mortality stratified by tertiles of the PaO2/RDW ratio.</title><p>Survival probability was compared among three tertile groups of the PaO2/RDW ratio (T1, lowest; T2, middle; T3, highest). Patients in the lowest tertile showed a significantly higher 7-day mortality compared with those in the middle and highest tertiles (overall log-rank P &lt; 0.001). The number at risk for each group over time is shown below the plot. Abbreviation: PaO2/RDW, ratio of arterial partial pressure of oxygen to red cell distribution width.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g004" xlink:type="simple"/></fig>
</sec>
<sec id="sec019">
<title>Association between PaO2/RDW ratio and short-term mortality</title>
<p>In the Cox model for 7-day mortality following delirium, Schoenfeld residual tests, including the global test, indicated no violation of the proportional hazards (PH) assumption (all P &gt; 0.05). In the cause-specific Cox model for time to intubation (with death treated as a competing event), both the PaO2/RDW ratio and SOFA score violated the PH assumption (P &lt; 0.05). To address this issue, time-varying effects were modeled using interactions with log(time) via the tt() function. As shown in <xref ref-type="fig" rid="pone.0339390.g005">Fig 5</xref>, RCS analysis was conducted to evaluate the association between the PaO2/RDW ratio and 7-day mortality among ICU patients with delirium associated with ARDS. After adjustment for multiple covariates—including sex, age, AG, Cr, BUN, Phos, BE, RDW, MCHC, GCS, SOFA score within 24 hours, and comorbidities such as diabetes, hypertension, CHF, malignancy, CKD, and COPD—the RCS model revealed a significant overall association between the PaO2/RDW ratio and 7-day mortality (P-overall &lt; 0.0001), along with a statistically significant non-linear trend (P-nonlinear = 0.0111). The HR curve displayed a U-shaped pattern, indicating variation in mortality risk across the range of PaO2/RDW ratios. The lowest estimated hazard occurred at a PaO2/RDW ratio of 6.72, which was used as the reference point. The confidence intervals widened toward both extremes of the distribution, reflecting fewer observations in these regions.</p>
<fig id="pone.0339390.g005" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g005</object-id><label>Fig 5</label><caption><title>Adjusted hazard ratios (blue line) and 95% confidence intervals (blue shaded area) for 7-day mortality across the continuous PaO2/RDW ratio.</title><p>The red dashed line denotes the reference level (HR = 1), and the vertical dotted line marks the point of lowest estimated risk (PaO2/RDW = 6.72). The gray histogram represents the distribution of the study population. Overall and nonlinear P-values are displayed within the panel. The model was adjusted for sex, age, AG, Cr, BUN, Phos, BE, RDW, MCHC, GCS, SOFA, diabetes, hypertension, CHF, malignancy, CKD, and COPD. Abbreviation: PaO2/RDW, ratio of arterial partial pressure of oxygen to red cell distribution width.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g005" xlink:type="simple"/></fig>
<p>As shown in <xref ref-type="table" rid="pone.0339390.t002">Table 2</xref>, the PaO2/RDW ratio was significantly associated with both 7-day and 30-day mortality among patients with ARDS and delirium. For 7-day mortality, each one-unit increase in the PaO2/RDW ratio was consistently associated with a lower risk of death across all models (Model 1: HR = 0.78, 95% CI 0.73–0.84; Model 2: HR = 0.80, 95% CI 0.74–0.86; Model 3: HR = 0.86, 95% CI 0.80–0.93; all P &lt; 0.001). When stratified by tertiles, patients in the lowest tertile (T1) had a significantly higher 7-day mortality risk compared with those in the highest tertile (T3) across all models (Model 1: HR = 3.01, 95% CI 2.11–4.28; Model 2: HR = 2.90, 95% CI 2.04–4.13; Model 3: HR = 2.12, 95% CI 1.46–3.09; all P &lt; 0.001), showing a significant linear trend (P for trend &lt; 0.001). For 30-day mortality, similar results were observed. A one-unit increase in the PaO2/RDW ratio was associated with a reduced mortality risk (Model 1: HR = 0.85, 95% CI 0.80–0.89; Model 2: HR = 0.85, 95% CI 0.81–0.90; Model 3: HR = 0.91, 95% CI 0.86–0.96; all P &lt; 0.001). Compared with the highest tertile, the lowest tertile remained significantly associated with higher 30-day mortality (Model 1: HR = 2.31, 95% CI 1.82–2.94; Model 2: HR = 2.28, 95% CI 1.79–2.90; Model 3: HR = 1.72, 95% CI 1.33–2.22; all P &lt; 0.001), again demonstrating a significant linear trend (P for trend &lt; 0.001).</p>
<table-wrap id="pone.0339390.t002" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.t002</object-id><label>Table 2</label><caption><title>PaO2/RDW Ratio and Short-Term Mortality in ARDS With Delirium: Cox Regression Analyses for 7-Day and 30-Day Outcomes.</title></caption>
<alternatives><graphic id="pone.0339390.t002g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.t002" xlink:type="simple"/><table><colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="left">Variables</th>
<th align="left">Model 1<break/><break/>HR (95% CI)</th>
<th align="left">P-value</th>
<th align="left">Model 2<break/><break/>HR (95% CI)</th>
<th align="left">P-value</th>
<th align="left">Model 3<break/><break/>HR (95% CI)</th>
<th align="left">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" colspan="7"><bold>7-day mortality</bold></td>
</tr>
<tr>
<td align="left">Per 1 Unit increase</td>
<td align="left">0.78 (0.73–0.84)</td>
<td align="left">&lt; 0.001</td>
<td align="left">0.8 (0.74–0.86)</td>
<td align="left">&lt; 0.001</td>
<td align="left">0.86 (0.8–0.93)</td>
<td align="left">&lt; 0.001</td>
</tr>
<tr>
<td align="left">T3 (highest)</td>
<td align="left">1 (Reference)</td>
<td align="left">–</td>
<td align="left">1 (Reference)</td>
<td align="left">–</td>
<td align="left">1 (Reference)</td>
<td align="left">–</td>
</tr>
<tr>
<td align="left">T2 (middle)</td>
<td align="left">1.28 (0.85–1.92)</td>
<td align="left">0.236</td>
<td align="left">1.33 (0.89–1.99)</td>
<td align="left">0.17</td>
<td align="left">1.18 (0.78–1.78)</td>
<td align="left">0.424</td>
</tr>
<tr>
<td align="left">T1 (lowest)</td>
<td align="left">3.01 (2.11–4.28)</td>
<td align="left">&lt; 0.001</td>
<td align="left">2.9 (2.04–4.13)</td>
<td align="left">&lt; 0.001</td>
<td align="left">2.12 (1.46–3.09)</td>
<td align="left">&lt; 0.001</td>
</tr>
<tr>
<td align="left">P for trend</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
</tr>
<tr>
<td align="left" colspan="7"><bold>30-day mortality</bold></td>
</tr>
<tr>
<td align="left">Per 1 Unit increase</td>
<td align="left">0.85 (0.8–0.89)</td>
<td align="left">&lt; 0.001</td>
<td align="left">0.85 (0.81–0.9)</td>
<td align="left">&lt; 0.001</td>
<td align="left">0.91 (0.86–0.96)</td>
<td align="left">&lt; 0.001</td>
</tr>
<tr>
<td align="left">T3 (highest)</td>
<td align="left">1 (Reference)</td>
<td align="left">–</td>
<td align="left">1 (Reference)</td>
<td align="left">–</td>
<td align="left">1 (Reference)</td>
<td align="left">–</td>
</tr>
<tr>
<td align="left">T2 (middle)</td>
<td align="left">1.1 (0.84–1.45)</td>
<td align="left">0.477</td>
<td align="left">1.14 (0.87–1.5)</td>
<td align="left">0.346</td>
<td align="left">1.01 (0.77–1.34)</td>
<td align="left">0.919</td>
</tr>
<tr>
<td align="left">T1 (lowest)</td>
<td align="left">2.31 (1.82–2.94)</td>
<td align="left">&lt; 0.001</td>
<td align="left">2.28 (1.79–2.9)</td>
<td align="left">&lt; 0.001</td>
<td align="left">1.72 (1.33–2.22)</td>
<td align="left">&lt; 0.001</td>
</tr>
<tr>
<td align="left">P for trend</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
</tr>
</tbody>
</table>
</alternatives><table-wrap-foot>
<fn id="t002fn001"><p>Abbreviations: HR, hazard ratio; CI, confidence interval; SOFA, Sequential Organ Failure Assessment; GCS, Glasgow Coma Scale; RDW, red cell distribution width; MCHC, mean corpuscular hemoglobin concentration; BUN, blood urea nitrogen; COPD, chronic obstructive pulmonary disease; AG, anion gap; Cr, creatinine; Phos, phosphate; BE, base excess; CHF, congestive heart failure; CKD, chronic kidney disease.</p></fn>
<fn id="t002fn002"><p>Model 1: Unadjusted.</p></fn>
<fn id="t002fn003"><p>Model 2: Adjusted for age and sex.</p></fn>
<fn id="t002fn004"><p>Model 3: Adjusted for sex, age, AG, Cr, BUN, Phos, BE, RDW, MCHC, GCS, SOFA, diabetes, hypertension, CHF, malignancy, CKD, and COPD.</p></fn>
<fn id="t002fn005"><p>Tertiles: Defined according to the distribution of the PaO2/RDW ratio; the highest tertile (T3) was used as the reference category. T1 (2.02–2.80), T2 (3.91–4.92), and T3 (6.13–8.16).</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec020">
<title>Association between PaO2/RDW ratio and risk of invasive mechanical ventilation</title>
<p>RCS analysis demonstrated a significant overall association between the PaO2/RDW ratio and the risk of invasive mechanical ventilation (P-overall = 0.0101), whereas the non-linear component was not statistically significant (P-nonlinear = 0.2291) (<xref ref-type="fig" rid="pone.0339390.g006">Fig 6</xref>). The HR curve indicated that the lowest estimated risk of invasive mechanical ventilation occurred at a PaO2/RDW ratio of 7.06. The 95% confidence intervals widened toward both extremes of the distribution, reflecting smaller sample sizes in those regions.</p>
<fig id="pone.0339390.g006" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g006</object-id><label>Fig 6</label><caption><title>Adjusted hazard ratios (blue line) and 95% confidence intervals (blue shaded area) for the risk of invasive mechanical ventilation across the continuous PaO2/RDW ratio.</title><p>The red dashed line denotes the reference level (HR = 1), and the vertical dotted line marks the point of lowest estimated risk (PaO2/RDW = 7.06). The gray histogram represents the distribution of the study sample. The overall and nonlinear P-values are displayed within the panel. The model was adjusted for sex, age, AG, Cr, BUN, Phos, BE, RDW, MCHC, GCS, SOFA, diabetes, hypertension, CHF, malignancy, CKD, and COPD. Abbreviation: PaO2/RDW, ratio of arterial partial pressure of oxygen to red cell distribution width.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g006" xlink:type="simple"/></fig>
<p>As shown in <xref ref-type="table" rid="pone.0339390.t003">Table 3</xref>, the PaO2/RDW ratio was significantly associated with the risk of invasive mechanical ventilation among patients with ARDS and delirium. In the unadjusted model, each one-unit increase in the PaO2/RDW ratio was associated with a lower risk of invasive mechanical ventilation (HR = 0.70, 95% CI 0.58–0.84, P &lt; 0.001). This association remained significant after adjustment for age and sex (Model 2: HR = 0.71, 95% CI 0.59–0.85, P &lt; 0.001) and persisted after further adjustment for multiple covariates (Model 3: HR = 0.80, 95% CI 0.67–0.97, P = 0.022). When stratified by tertiles, patients in the lowest tertile (T1) had a significantly higher risk of invasive mechanical ventilation compared with those in the highest tertile (T3) across all models (Model 1: HR = 4.13, 95% CI 1.85–9.21; Model 2: HR = 4.18, 95% CI 1.87–9.35; Model 3: HR = 2.68, 95% CI 1.16–6.22; all P &lt; 0.05). A significant linear trend was observed across tertiles (P for trend &lt; 0.05).</p>
<table-wrap id="pone.0339390.t003" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.t003</object-id><label>Table 3</label><caption><title>PaO2/RDW Ratio and ventilation in ARDS With Delirium: Cause-specific Cox Regression Analysis.</title></caption>
<alternatives><graphic id="pone.0339390.t003g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.t003" xlink:type="simple"/><table><colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="left">Variables</th>
<th align="left">Model 1 <break/><break/>HR (95% CI)</th>
<th align="left">P-value</th>
<th align="left">Model 2 <break/><break/>HR (95% CI)</th>
<th align="left">P-value</th>
<th align="left">Model 3 <break/><break/>HR (95% CI)</th>
<th align="left">P-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" colspan="7">7-day mortality</td>
</tr>
<tr>
<td align="left">Per 1 Unit increase</td>
<td align="left">0.7 (0.58–0.84)</td>
<td align="left">&lt; 0.001</td>
<td align="left">0.71 (0.59–0.85)</td>
<td align="left">&lt; 0.001</td>
<td align="left">0.8 (0.67–0.97)</td>
<td align="left">0.0221</td>
</tr>
<tr>
<td align="left">T3 (highest)</td>
<td align="left">1 (Reference)</td>
<td align="left"/>
<td align="left">1 (Reference)</td>
<td align="left"/>
<td align="left">1 (Reference)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">T2 (middle)</td>
<td align="left">1.73 (0.83–3.61)</td>
<td align="left">0.142</td>
<td align="left">1.83 (0.87–3.82)</td>
<td align="left">0.109</td>
<td align="left">1.49 (0.7–3.17)</td>
<td align="left">0.299</td>
</tr>
<tr>
<td align="left">T1 (lowest)</td>
<td align="left">4.13 (1.85–9.21)</td>
<td align="left">&lt; 0.001</td>
<td align="left">4.18 (1.87–9.35)</td>
<td align="left">&lt; 0.001</td>
<td align="left">2.68 (1.16–6.22)</td>
<td align="left">0.0213</td>
</tr>
<tr>
<td align="left">P for trend</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
<td align="left"/>
<td align="left">&lt; 0.001</td>
<td align="left"/>
<td align="left">0.0122</td>
</tr>
</tbody>
</table>
</alternatives><table-wrap-foot>
<fn id="t003fn001"><p>Abbreviations: HR, hazard ratio; CI, confidence interval; SOFA, Sequential Organ Failure Assessment; GCS, Glasgow Coma Scale; RDW, red cell distribution width; MCHC, mean corpuscular hemoglobin concentration; BUN, blood urea nitrogen; COPD, chronic obstructive pulmonary disease; AG, anion gap; Cr, creatinine; Phos, phosphate; BE, base excess; CHF, congestive heart failure; CKD, chronic kidney disease.</p></fn>
<fn id="t003fn002"><p>Model 1: Unadjusted.</p></fn>
<fn id="t003fn003"><p>Model 2: Adjusted for age and sex.</p></fn>
<fn id="t003fn004"><p>Model 3: Adjusted for sex, age, AG, Cr, BUN, Phos, BE, RDW, MCHC, GCS, SOFA, diabetes, hypertension, CHF, malignancy, CKD, and COPD.</p></fn>
<fn id="t003fn005"><p>Tertiles: Defined according to the distribution of the PaO2/RDW ratio; the highest tertile (T3) was used as the reference category. T1 (2.02–2.80), T2 (3.91–4.92), and T3 (6.13–8.16).</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec021">
<title>Subgroup analysis</title>
<p>As illustrated in <xref ref-type="fig" rid="pone.0339390.g007">Fig 7</xref>, the inverse association between the PaO2/RDW ratio and mortality was consistently observed across all predefined subgroups. When stratified by age, the association remained significant among patients aged &gt;65 years (HR = 0.76, 95% CI 0.70–0.83, P &lt; 0.001) but was not statistically significant among those aged ≤65 years (HR = 0.89, 95% CI 0.76–1.04, P = 0.148; P for interaction = 0.079). Similar patterns were observed across sex and comorbidity subgroups, including hypertension, diabetes, heart failure, malignancy, CKD, and COPD, with all interaction P-values &gt; 0.05. The association also remained consistent across disease severity categories stratified by SOFA score (≤5 vs. &gt; 5; P for interaction = 0.128). Collectively, no statistically significant effect modification was identified in any of the examined subgroups.</p>
<fig id="pone.0339390.g007" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0339390.g007</object-id><label>Fig 7</label><caption><title>Forest plot showing adjusted hazard ratios (HRs) and 95% confidence intervals across clinical subgroups.</title><p>No significant interactions were observed between the PaO2/RDW ratio and any subgroup variables (all P for interaction &gt; 0.05). Abbreviations: PaO2, partial pressure of oxygen; RDW, red cell distribution width; CKD, chronic kidney disease; COPD, chronic obstructive pulmonary disease; Cr, creatinine; AG, anion gap; BUN, blood urea nitrogen; Phos, phosphate; BE, base excess; MCHC, mean corpuscular hemoglobin concentration; SOFA, Sequential Organ Failure Assessment; GCS, Glasgow Coma Scale.</p></caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.g007" xlink:type="simple"/></fig>
</sec>
</sec>
<sec id="sec022" sec-type="conclusions">
<title>Discussion</title>
<p>In this large retrospective cohort of critically ill patients with ARDS complicated by delirium, we observed a significant association between the PaO2/RDW ratio and short-term clinical outcomes. Lower PaO2/RDW ratios were correlated with higher 7-day and 30-day mortality rates following delirium onset, as well as an increased likelihood of requiring invasive mechanical ventilation after ICU admission. Restricted cubic spline analysis revealed a U-shaped association between the PaO2/RDW ratio and mortality, with the lowest estimated risk observed at approximately 6.7. Subgroup analyses demonstrated that these associations remained consistent across different demographic and clinical subgroups, without significant effect modification. Collectively, these findings indicate that the PaO2/RDW ratio—an integrated indicator reflecting both oxygenation efficiency and erythrocyte heterogeneity—is closely associated with disease severity and may serve as a convenient and informative marker for early risk assessment in ICU patients with delirium associated with ARDS.</p>
<p>The observed relationship between the PaO2/RDW ratio and adverse outcomes may reflect the combined impact of impaired oxygenation and systemic inflammation. PaO2 serves as a direct indicator of pulmonary gas exchange efficiency [<xref ref-type="bibr" rid="pone.0339390.ref020">20</xref>], whereas RDW reflects red blood cell size heterogeneity and has been linked to oxidative stress, inflammation, and multiorgan dysfunction [<xref ref-type="bibr" rid="pone.0339390.ref021">21</xref>–<xref ref-type="bibr" rid="pone.0339390.ref023">23</xref>] in critically ill patients. A lower PaO2/RDW ratio therefore indicates concurrent hypoxemia and heightened inflammatory burden, both of which are key determinants of poor prognosis in ARDS. Previous studies have reported that elevated RDW is associated with increased mortality in sepsis [<xref ref-type="bibr" rid="pone.0339390.ref024">24</xref>], respiratory failure [<xref ref-type="bibr" rid="pone.0339390.ref025">25</xref>], and critical illness [<xref ref-type="bibr" rid="pone.0339390.ref026">26</xref>], consistent with our findings. The composite index integrating PaO2 and RDW may offer a more comprehensive value by capturing both pulmonary oxygenation impairment and systemic inflammatory or metabolic disturbances. This dual-dimensional assessment could not only explain its strong association with disease severity but also with the need for mechanical ventilation.</p>
<p>Mechanistically, several factors may underlie this association. Hypoxia stimulates erythropoietin release [<xref ref-type="bibr" rid="pone.0339390.ref027">27</xref>] and disrupts erythropoiesis [<xref ref-type="bibr" rid="pone.0339390.ref028">28</xref>], resulting in a greater proportion of immature reticulocytes and elevated RDW [<xref ref-type="bibr" rid="pone.0339390.ref029">29</xref>]. Moreover, inflammatory cytokines and oxidative stress may impair red blood cell membrane stability and shorten erythrocyte lifespan, further increasing size variability [<xref ref-type="bibr" rid="pone.0339390.ref030">30</xref>,<xref ref-type="bibr" rid="pone.0339390.ref031">31</xref>]. Finally, hypoxia-induced inflammation can impair red blood cell maturation, causing a heterogeneous population of red blood cells and an increased RDW [<xref ref-type="bibr" rid="pone.0339390.ref032">32</xref>]. These processes collectively contribute to tissue hypoxia and organ dysfunction, such as increased susceptibility to brain dysfunction, leading to delirium and thereby explaining the higher mortality observed in patients with lower PaO2/RDW ratios. The U-shaped pattern observed in our spline analysis suggests that both inadequate and excessive oxygenation may be detrimental—a finding that aligns with prior evidence that hyperoxia can induce oxidative injury and worsen outcomes in ARDS [<xref ref-type="bibr" rid="pone.0339390.ref033">33</xref>,<xref ref-type="bibr" rid="pone.0339390.ref034">34</xref>].</p>
<p>Importantly, our findings extend beyond mortality, highlighting that the composite index is also associated with the initiation of invasive mechanical ventilation after ICU admission in patients with delirium. A lower PaO2/RDW ratio was associated with an increased need for early invasive mechanical ventilation, implying that this index may help identify patients at risk of respiratory deterioration. Given that RDW reflects systemic stress and PaO2 indicates oxygenation efficiency [<xref ref-type="bibr" rid="pone.0339390.ref035">35</xref>–<xref ref-type="bibr" rid="pone.0339390.ref037">37</xref>], their ratio may represent an integrated marker of respiratory resilience and overall physiological reserve. PaO2 alone overlooks other critical dimensions of respiratory physiology, including carbon dioxide clearance and respiratory muscle performance [<xref ref-type="bibr" rid="pone.0339390.ref038">38</xref>]. Integrating the PaO2/RDW ratio into routine assessment may thus support early identification of decompensation, guide individualized ventilatory management, and ultimately enhance patient outcomes.</p>
<p>Clinically, the PaO2/RDW ratio offers several advantages. Both parameters are routinely measured, inexpensive, and readily available [<xref ref-type="bibr" rid="pone.0339390.ref039">39</xref>,<xref ref-type="bibr" rid="pone.0339390.ref040">40</xref>] in the ICU setting. Compared with complex scoring systems, this ratio provides a simple yet physiologically meaningful tool for early risk stratification. If validated prospectively, it could complement established severity indices such as the SOFA score to guide treatment intensity and monitoring frequency in ICU patients with delirium associated with ARDS.</p>
<p>Nevertheless, several limitations should be acknowledged. First, this was a retrospective study based on the MIMIC-IV database, which may introduce potential selection bias and residual confounding. Although multiple covariates were adjusted for, unmeasured factors such as ventilator settings, sedation practices, and transfusion history might still have influenced the results. Second, the MIMIC-IV database represents a single-center cohort (Beth Israel Deaconess Medical Center), which may limit the generalizability of our findings to other institutions or healthcare systems. Third, variations in the timing of measurements and interventions could affect the accuracy of exposure and outcome assessments. Fourth, the observational nature of this study precludes causal inference, and the observed associations should be interpreted as hypothesis-generating rather than definitive. Finally, changes in ARDS management and critical care practices over the study period (2008–2022) may also have influenced patient outcomes. Future multicenter, prospective studies and external validations are warranted to confirm these findings and to elucidate the underlying biological mechanisms linking the PaO2/RDW ratio to outcomes in ARDS-associated delirium.</p>
<p>In summary, this study demonstrates that a lower PaO2/RDW ratio is independently associated with increased short-term mortality and a higher risk of early invasive mechanical ventilation among ICU patients with delirium associated with ARDS. As a simple and easily obtainable index that reflects both oxygenation and systemic response, the PaO2/RDW ratio may serve as a valuable adjunct for early risk assessment and clinical decision-making in critical care.</p>
</sec>
<sec id="sec023" sec-type="conclusions">
<title>Conclusion</title>
<p>In this retrospective cohort study of critically ill patients with ARDS complicated by delirium, a lower PaO2/RDW ratio was independently associated with higher short-term mortality and an increased risk of early invasive mechanical ventilation. These findings suggest that the PaO2/RDW ratio—an easily obtainable and physiologically integrated index reflecting both oxygenation efficiency and systemic response—may serve as a practical biomarker for early risk stratification and clinical management in ICU patients with delirium associated with ARDS.</p>
</sec>
<sec id="sec024" sec-type="supplementary-material">
<title>Supporting information</title>
<supplementary-material id="pone.0339390.s001" mimetype="text/csv" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.s001" xlink:type="simple">
<label>S1 Table</label>
<caption>
<title>Multicollinearity analysis and variance inflation factor (VIF) screening.</title>
<p>This table displays the iterative process of removing variables with high VIF values to reduce multicollinearity. Columns include the iteration number, variable name, and the calculated VIF value.</p>
<p>(CSV)</p>
</caption>
</supplementary-material>
<supplementary-material id="pone.0339390.s002" mimetype="image/tiff" position="float" xlink:href="info:doi/10.1371/journal.pone.0339390.s002" xlink:type="simple">
<label>S1 Fig</label>
<caption>
<title>Percentage of missing values for candidate variables.</title>
<p>This figure illustrates the proportion of missing data for each clinical variable in the initial dataset. Variables with missing values exceeding 5% were excluded from the final analysis.</p>
<p>(TIF)</p>
</caption>
</supplementary-material>
</sec>
</body>
<back>
<ack>
<p>The authors gratefully acknowledge the Massachusetts Institute of Technology and Beth Israel Deaconess Medical Center for maintaining the MIMIC-IV database and granting open access for research use. We also appreciate the efforts of all contributors to the PhysioNet platform for supporting data sharing and open science.</p>
</ack>
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<contrib contrib-type="author">
<name name-style="western"><surname>Al-Nimer</surname>
<given-names>Marwan Salih</given-names>
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<role>Academic Editor</role>
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<copyright-year>2025</copyright-year>
<copyright-holder>Marwan Salih Al-Nimer</copyright-holder>
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<p><named-content content-type="letter-date">6 Oct 2025</named-content></p>
<p>Dear Dr. deng,</p>
<p>Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.</p>
<p>==============================</p>
<p><bold>ACADEMIC EDITOR: Major revision</bold></p>
<p>Please submit your revised manuscript by Nov 20 2025 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at <email xlink:type="simple">plosone@plos.org</email> . When you're ready to submit your revision, log on to <ext-link ext-link-type="uri" xlink:href="https://www.editorialmanager.com/pone/" xlink:type="simple">https://www.editorialmanager.com/pone/</ext-link> and select the 'Submissions Needing Revision' folder to locate your manuscript file.</p>
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<p>Marwan Salih Al-Nimer, MD, PhD</p>
<p>Academic Editor</p>
<p>PLOS ONE</p>
<p>Journal Requirements:</p>
<p>When submitting your revision, we need you to address these additional requirements.</p>
<p>1. Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming. The PLOS ONE style templates can be found at</p>
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<p>3. When completing the data availability statement of the submission form, you indicated that you will make your data available on acceptance. We strongly recommend all authors decide on a data sharing plan before acceptance, as the process can be lengthy and hold up publication timelines. Please note that, though access restrictions are acceptable now, your entire data will need to be made freely accessible if your manuscript is accepted for publication. This policy applies to all data except where public deposition would breach compliance with the protocol approved by your research ethics board. If you are unable to adhere to our open data policy, please kindly revise your statement to explain your reasoning and we will seek the editor's input on an exemption. Please be assured that, once you have provided your new statement, the assessment of your exemption will not hold up the peer review process.</p>
<p>4. Please amend the manuscript submission data (via Edit Submission) to include author Qing-Shan Zhou</p>
<p>5. Please amend your authorship list in your manuscript file to include author lop – deng</p>
<p>6. If the reviewer comments include a recommendation to cite specific previously published works, please review and evaluate these publications to determine whether they are relevant and should be cited. There is no requirement to cite these works unless the editor has indicated otherwise. </p>
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<p>Kindly adhere to the guidelines of the journal (references)</p>
<p>[Note: HTML markup is below. Please do not edit.]</p>
<p>Reviewers' comments:</p>
<p>Reviewer's Responses to Questions</p>
<p><bold>Comments to the Author</bold></p>
<p>1. Is the manuscript technically sound, and do the data support the conclusions?</p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Partly</p>
<p>**********</p>
<p>2. Has the statistical analysis been performed appropriately and rigorously? --&gt;?&gt;</p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: No</p>
<p>**********</p>
<p>3. Have the authors made all data underlying the findings in their manuscript fully available??&gt;</p>
<p>The <ext-link ext-link-type="uri" xlink:href="http://www.plosone.org/static/policies.action#sharing" xlink:type="simple">PLOS Data policy</ext-link></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>**********</p>
<p>4. Is the manuscript presented in an intelligible fashion and written in standard English??&gt;</p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>**********</p>
<p>Reviewer #1: Some vocabulary choices and phrasing throughout the manuscript could be revised to enhance clarity and improve readability. Refining the language and writing style would help make the content more accessible and better illustrated for the reader.</p>
<p>The manuscript would benefit from further improvements, as outlined in my comments to the authors below.</p>
<p>1. In the abstract, line 3, it is better to use ‘’Poorly defined’’ instead of ‘’lacking’’.</p>
<p>2. In the abstract, line 5, I recommend using “delirium associated with ARDS in ICU patients” instead of “ARDS patients with ICU-acquired delirium.” The current phrasing may be misleading, as it suggests the delirium is primarily associated with ICU admission rather than with ARDS itself. Based on the manuscript, it appears that the authors intend to highlight delirium in the context of ARDS within the ICU setting. To avoid confusion and better reflect the study’s focus, the authors should revise this wording accordingly.</p>
<p>3. While '’ICU'’ is widely recognized by clinicians, defining the term in the abstract is recommended to ensure clarity for all readers.</p>
<p>4. In the abstract, a definition of the MIMIC-IV database should be provided.</p>
<p>5. In the abstract, it is recommended to mention that a total of 4,116 patients were initially identified from the MIMIC-IV database, rather than only stating that the final cohort consisted of 1,508 patients. Including this information provides clearer context on the study population and the selection process.</p>
<p>6. In the abstract, conclusions, it's preferable to state that the PO2/RDW ratio may offer predictive insights, rather than claiming it is a reliable biomarker for predicting 7-day mortality and guiding mechanical ventilation in ARDS patients with delirium.</p>
<p>7. As previously mentioned, the study aims in the Introduction should be revised for clarity. I recommend using the phrase “delirium associated with ARDS in ICU patients” instead of “ARDS patients with ICU-acquired delirium.” The current wording may be misleading, as it implies that delirium is primarily linked to ICU admission rather than ARDS. Based on the manuscript, it seems the authors aim to emphasize delirium in the context of ARDS within the ICU setting. To better reflect this focus and avoid misinterpretation, the authors should adjust the phrasing accordingly.</p>
<p>8. There is still room to improve the Introduction. I recommend revising it to provide a more comprehensive overview of the topic, including citing additional relevant studies. Strengthening the background will help readers better understand the context and significance of the study, as well as clarify its specific aims. These enhancements can be effectively addressed within the Introduction.</p>
<p>9. The Methods section should be presented more clearly and in greater detail to help readers fully understand the study design, analysis process, and related procedures. For example, the statement “Eligibility criteria: Experienced clinical researchers defined the inclusion and exclusion criteria for this study” is too vague. Although some related points are included, there is still a good opportunity to further clarify and expand on the selection criteria. This would improve the overall clarity and quality of the manuscript.</p>
<p>10. Although the authors have made an effort to present the results in a way that is understandable, the Results section would benefit from clearer and more structured writing, as it can be difficult at times for the reader to follow the flow of information. One key issue is the lack of detailed figure legends. Currently, only figure titles are provided, without sufficient explanation regarding the methods used, definitions applied, or interpretation of results. Including comprehensive figure legends is essential and would greatly aid reader comprehension. Overall, there is room for improvement in how the results are presented to ensure they are more straightforward and easier to follow.</p>
<p>11. The Discussion would benefit from revision to provide a more comprehensive overview of the relevance of the findings in the context of existing literature. It is recommended to improve the interpretation of the results by clearly linking them to prior research. Where possible, citing additional relevant studies could strengthen the discussion and enhance the overall impact of the manuscript.</p>
<p>12. I recommend that the Conclusion be rewritten to improve clarity and conciseness, which will enhance readability and more effectively convey the key messages to the reader.</p>
<p>Reviewer #2: This retrospective study of 1,508 ARDS patients with ICU-acquired delirium from MIMIC-IV explores the PO₂/RDW ratio (first 24-hour arterial PO₂ divided by RDW) as a predictor of 7-day all-cause mortality and as an indicator for mechanical ventilation. Higher PO₂/RDW was associated with lower 7-day mortality (linear trend on restricted cubic splines) and with lower odds of requiring mechanical ventilation (logistic model). The authors use Kaplan–Meier, Cox regression (with covariate selection using Boruta and SHAP), restricted cubic splines, and multivariable logistic regression.</p>
<p>A. Overall appraisal</p>
<p>Strengths</p>
<p>Novel, clinically intuitive composite marker combining oxygenation and a widely available hematologic parameter.</p>
<p>Large, well-known database (MIMIC-IV) and a plausible clinical question with potential bedside utility.</p>
<p>Multiple complementary analyses (KM, Cox, RCS, logistic regression, SHAP/Boruta) demonstrate depth.</p>
<p>However, there are important methodological, analytical, and interpretative issues that must be addressed before this is suitable for publication. Many relate to temporality/causality (timing of PO₂ vs ventilation), model specification (PH assumption, overfitting), handling of missing data, inconsistent reporting, and interpretation of effect measures. Below I list these as major and minor points with suggested remedies.</p>
<p>B. Major concerns</p>
<p>1. Inconsistent, and potentially incorrect, interpretation of hazard ratios in the Abstract / Results.</p>
<p>Example: the Abstract states “higher PO₂/RDW ratios were significantly associated with lower 7-day mortality, with patients in the highest quartile having a significantly reduced risk compared to those in the lowest quartile (HR: 1.90, 95% CI: 1.12–3.22; p = 0.017).” An HR of 1.90 implies higher risk in that comparison, not reduced risk. Later you report Model 3 HR for T1 = 1.90 (T4 reference) — i.e., lowest quartile has higher hazard than highest quartile.</p>
<p>Fix: Carefully check/reference each HR and explicitly state which group is reference. Correct wording throughout to remove this and any similar contradictions.</p>
<p>2. Ambiguity about timing of exposure and outcome (reverse causation / temporality).</p>
<p>You state PO₂/RDW was measured “within the first 24 hours” and ventilator use was assessed “after PO₂.” It is crucial to show that the PaO₂ and RDW values used as predictors were measured before the decision to intubate / initiate mechanical ventilation. If many arterial gases were obtained after ventilation or after major resuscitation, the association may reflect treatment effects, not prognosis.</p>
<p>Fix / analyses required:</p>
<p>i. Explicitly report the exact timestamp windows used for PO₂ and RDW measurement relative to ICU admission and to initiation of ventilation (median time difference and IQR).</p>
<p>ii. Restrict the main analysis to patients where PO₂/RDW is observed before intubation/ventilation; present a sensitivity analysis excluding measurements taken after ventilation initiation.</p>
<p>iii. If timing cannot be disentangled for a substantial portion, temper causal claims about ventilator guidance.</p>
<p>3. Confounding by indication and inappropriate adjustment for mediators.</p>
<p>Mechanical ventilation is likely part of the causal pathway between severity and mortality. Adjusting for ventilation when modeling mortality can induce bias (collider/mediator bias). Similarly, including variables that change after the exposure (e.g., interventions) can distort associations.</p>
<p>Fix / analyses required:</p>
<p>i. Re-run primary mortality models without adjusting for variables that plausibly lie on the causal path (e.g., ventilation), or present models both with and without ventilation and explain rationale.</p>
<p>ii. Consider causal diagrams (DAG) to demonstrate chosen covariates.</p>
<p>iii. For the mechanical ventilation outcome, use methods to control confounding (propensity score methods, inverse probability weighting) or clearly acknowledge limitations.</p>
<p>4. Proportional hazards (PH) assumption handling is inadequate.</p>
<p>You report Schoenfeld residuals showing PH violations for several covariates and state you “removed the covariates that did not meet the criteria.” Dropping covariates post-hoc because they violate PH is not an appropriate strategy and can bias results.</p>
<p>Fix / analyses required:</p>
<p>i. Use accepted methods: include time-dependent covariates for violating predictors, stratified Cox models, or alternative modelling (AFT model).</p>
<p>ii. Report Schoenfeld residual plots and give details of any time-dependent terms.</p>
<p>iii. If covariates were removed, justify and present sensitivity analyses with corrected models.</p>
<p>5. Events-per-variable (EPV) and risk of overfitting.</p>
<p>With ~1,508 patients and ~9.22% 7-day mortality (~139 events), the maximum reliable number of covariates in a Cox model is limited (~10–14 by old rule of thumb). Model 3 appears to include a long list of covariates (possibly exceeding EPV recommendations).</p>
<p>Fix / analyses required:</p>
<p>i. Report number of deaths and compute EPV.</p>
<p>ii. Consider penalized regression (ridge/LASSO) or reduce covariates via pre-specification (clinical importance) or dimension reduction.</p>
<p>iii. Provide internal validation with bootstrap or cross-validation and report optimism-corrected performance (c-index) and calibration.</p>
<p>6. Missing data handling is unclear.</p>
<p>You excluded patients with missing RDW or PO₂ but did not report how missingness for other covariates was handled (complete case? imputation?). Excluding those with other missing covariates can bias results if missing not at random.</p>
<p>Fix / analyses required:</p>
<p>i. Provide a missingness table (n and % missing per variable).</p>
<p>ii. If any imputation was done, describe method (multiple imputation, number of imputations, model used). If complete case analysis, justify and provide sensitivity analysis using multiple imputation.</p>
<p>7. Cutoff selection and clinical thresholds (Youden index) - risk of overfitting and lack of validation.</p>
<p>You present two different cutoffs (3.00 for mortality ref point, 4.22 for ventilation) chosen by Youden’s index. Data-driven cutpoints tend to be optimistic and need validation.</p>
<p>Fix / analyses required:</p>
<p>i. Report ROC curves, AUC (with 95% CI), sensitivity, specificity, PPV, NPV for chosen cutpoints.</p>
<p>ii. Use bootstrapping to estimate 95% CIs for cutpoints and performance metrics.</p>
<p>iii. Present decision-curve analysis to assess clinical utility. Emphasize that cutoffs require external validation.</p>
<p>8. Modelling of mechanical ventilation as a binary logistic outcome may be inappropriate.</p>
<p>Ventilation is a time-dependent event and may be censored by death; treating it as a simple binary outcome ignores timing and competing risks. Patients who die early may never be ventilated (competing risk).</p>
<p>Fix / analyses required:</p>
<p>i. Consider time-to-intubation (cause-specific hazard) using Cox models, or competing-risks methods (Fine-Gray) with death as a competing event.</p>
<p>ii. If keeping logistic model, carefully justify the time window (e.g., ventilation within 24–48h) and show timing distribution.</p>
<p>9. Feature selection and circularity concerns.</p>
<p>You removed PO₂ and RDW as individual features for multicollinearity, yet used PO₂/RDW as a predictor. Explain how and why these removals were done, and show correlation matrix and variance inflation factors (VIF).</p>
<p>Fix: Provide rationale; present models that include the ratio and also separate models using PaO₂ and RDW individually for comparison.</p>
<p>10. External validity, calibration, and clinical implementation not demonstrated.</p>
<p>A predictive marker needs discrimination and calibration assessment; you report HRs and ORs but not discrimination (c-index/AUC) or calibration plots. Also no external validation.</p>
<p>Fix / analyses required:</p>
<p>i. Provide discrimination metrics (c-index for Cox, AUC for logistic) with optimism correction.</p>
<p>ii. Provide calibration plots (observed vs predicted at 7 days).</p>
<p>iii. State plans/limitations regarding external validation; if possible, perform temporal or hospital-level split internal validation, or bootstrap validation.</p>
<p>C. Minor and editorial concerns</p>
<p>1. Terminology and consistency: Use PaO₂ or PO₂ consistently (PaO₂ is standard). Define RDW units (RDW-CV vs RDW-SD). Clarify if PO₂ is arterial (ABG) PaO₂ not SpO₂.</p>
<p>2. Statistical reporting: Use consistent formatting for p-values and CIs (e.g., p = 0.017, HR 0.86 [95% CI 0.78–0.95]). Avoid phrases like “P-overall” without explanation - define tests used.</p>
<p>3. Subgroup analyses: State that subgroup analyses are exploratory, adjust for multiplicity (or state they are unadjusted), and present N in each subgroup. The stroke interaction (p = 0.028) needs cautious language and possible biological hypothesis.</p>
<p>4. Ethics / data access: You appropriately state MIMIC-IV access; also add a statement on data/code availability and R packages and versions used (you cite R 4.4.1 - also list packages e.g., survival, rms, Boruta, SHAP).</p>
<p>5. Limitations: Add explicit limitations section (single-center design proxy via MIMIC, residual confounding, measurement timing, no causal inference, need for external validation, changes in ARDS care across 2008–2022).</p>
<p>6. Causal claims: Avoid language implying that the ratio “guides” ventilator use or “improves outcomes” without prospective interventional evidence. Rephrase to “may help risk-stratify and identify patients who warrant closer monitoring; prospective validation is required before clinical implementation.”</p>
<p>**********</p>
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<front-stub>
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<article-title>Author response to Decision Letter 1</article-title>
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<p><named-content content-type="author-response-date">21 Oct 2025</named-content></p>
<p>Dear Academic Editor and Reviewers,</p>
<p>We sincerely thank you for your thoughtful and constructive comments, which have greatly improved the quality of our manuscript.</p>
<p>We have carefully addressed all comments and revised the manuscript accordingly. A detailed, point-by-point response is provided in the uploaded file titled “Response to Reviewers.docx.”</p>
<p>We hope that the revised version satisfactorily addresses all concerns and will be suitable for publication in PLOS ONE.</p>
<p>Sincerely,</p>
<p>The Authors</p>
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<article-title>Decision Letter 1</article-title>
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<contrib-group>
<contrib contrib-type="author">
<name name-style="western"><surname>Al-Nimer</surname>
<given-names>Marwan Salih</given-names>
</name>
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<permissions>
<copyright-year>2025</copyright-year>
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<p><named-content content-type="letter-date">26 Oct 2025</named-content></p>
<p>Dear Dr. deng,</p>
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<p>==============================</p>
<p><bold>ACADEMIC EDITOR: Minor revision</bold></p>
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<front-stub>
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<article-title>Author response to Decision Letter 2</article-title>
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<p><named-content content-type="author-response-date">28 Oct 2025</named-content></p>
<p>Dear Editorial Office,</p>
<p>As requested, we have uploaded the completed Authorship Change Request Form (including all author signatures) to correct the author order in our manuscript (PONE-D-25-24350R2).</p>
<p>All authors have reviewed and approved the correction.</p>
<p>Thank you very much for your kind guidance.</p>
<p>Best regards,</p>
<p>Jiang-Tao Deng</p>
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<sub-article article-type="editor-report" id="pone.0339390.r005" specific-use="decision-letter">
<front-stub>
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<title-group>
<article-title>Decision Letter 2</article-title>
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<contrib contrib-type="author">
<name name-style="western"><surname>Al-Nimer</surname>
<given-names>Marwan Salih</given-names>
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<role>Academic Editor</role>
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<copyright-year>2025</copyright-year>
<copyright-holder>Marwan Salih Al-Nimer</copyright-holder>
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<p><named-content content-type="letter-date">7 Dec 2025</named-content></p>
<p>Association of the PaO₂/RDW Ratio With 7-Day Mortality and Risk of Early Invasive Mechanical Ventilation in ICU Patients With Delirium Associated With ARDS: A Retrospective Cohort Study From the MIMIC-IV Database</p>
<p>PONE-D-25-24350R2</p>
<p>Dear Dr. lop - Deng,</p>
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<article-id pub-id-type="doi">10.1371/journal.pone.0339390.r006</article-id>
<title-group>
<article-title>Acceptance letter</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name name-style="western"><surname>Al-Nimer</surname>
<given-names>Marwan Salih</given-names>
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<copyright-holder>Marwan Salih Al-Nimer</copyright-holder>
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<p>PONE-D-25-24350R2</p>
<p>PLOS One</p>
<p>Dear Dr. Deng,</p>
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