<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Cardiovasc. Med.</journal-id>
<journal-title>Frontiers in Cardiovascular Medicine</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Cardiovasc. Med.</abbrev-journal-title>
<issn pub-type="epub">2297-055X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcvm.2021.733528</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Cardiovascular Medicine</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The Prognostic Value of Calcium in Post-Cardiovascular Surgery Patients in the Intensive Care Unit</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Bi</surname> <given-names>Siwei</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1236770/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Liu</surname> <given-names>Ruiqi</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1482602/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Jingyi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1482643/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Chen</surname> <given-names>Shanshan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1171960/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Gu</surname> <given-names>Jun</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1390986/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>West China School of Medicine, Sichuan University</institution>, <addr-line>Chengdu</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Burn and Plastic Surgery, West China Hospital, Sichuan University</institution>, <addr-line>Chengdu</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Cardiovascular Surgery, West China Hospital, Sichuan University</institution>, <addr-line>Chengdu</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Antonio Miceli, Istituto Clinico Sant&#x00027;Ambrogio, Italy</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Zhongheng Zhang, Sir Run Run Shaw Hospital, China; Antonino S. Rubino, University of Campania Luigi Vanvitelli, Italy</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Jun Gu <email>gujun&#x00040;wchscu.cn</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Heart Surgery, a section of the journal Frontiers in Cardiovascular Medicine</p></fn>
<fn fn-type="equal" id="fn002"><p>&#x02020;These authors have contributed equally to this work</p></fn></author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>10</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>733528</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>06</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>08</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2021 Bi, Liu, Li, Chen and Gu.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Bi, Liu, Li, Chen and Gu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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.</p></license> </permissions>
<abstract><p><bold>Background:</bold> Present researches exploring the prognostic value of calcium concentration are undermined by sample size and study design. Our study investigated the association of both total calcium (tCa) and ionized Ca (iCa) to short- and long-term mortality and other outcomes in post-cardiovascular surgery (PCS) patients admitted to intensive care unit (ICU) from two large public data sets.</p>
<p><bold>Methods:</bold> The Medical Information Mart for Intensive Care III (MIMIC-III) database and the eICU Collaborative Research Database (eICU) were inspected to identify PCS patients. The primary outcome was 28-day mortality. Multivariate regression was used to elucidate the relationship between calcium concentration and outcomes. The propensity score estimation was performed to validate our findings.</p>
<p><bold>Results:</bold> A total of 6122 and 914 patients were included from the MIMIC III and eICU data sets, respectively. The groups with the most patients were the mild hypo-iCa and hypo-tCa groups. The mild hypo-iCa group showed significant association with worse short-term and long-term prognosis, less use of ventilation, longer ICU and hospital stay, and more incidence of 7-day acute kidney injury.</p>
<p><bold>Conclusions:</bold> The mild hypo-iCa (0.9&#x02013;1.15 mmol/L) within the first day of admission to the ICU could serve as an independent prognosis factor for PCS patients.</p></abstract>
<kwd-group>
<kwd>cardiovascular surgery</kwd>
<kwd>prognosis</kwd>
<kwd>calcium</kwd>
<kwd>intensive care unit</kwd>
<kwd>kidney injury</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content></contract-sponsor>
<contract-sponsor id="cn002">Sichuan Province Science and Technology Support Program<named-content content-type="fundref-id">10.13039/100012542</named-content></contract-sponsor>
<counts>
<fig-count count="4"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="43"/>
<page-count count="8"/>
<word-count count="4633"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Cardiovascular surgery is widely applied for the treatment of cardiovascular disease (<xref ref-type="bibr" rid="B1">1</xref>). Post-cardiovascular surgical (PCS) patients have been observed to have unfavorable prognoses and multiple complications such as stroke (<xref ref-type="bibr" rid="B2">2</xref>) and acute respiratory distress syndrome (<xref ref-type="bibr" rid="B3">3</xref>) resulting from invasive cardiovascular procedures. Another frequently occurred complication, acute kidney injury (AKI), is also associated with increased mortality and morbidity (<xref ref-type="bibr" rid="B4">4</xref>) among PCS patients. In severe AKI cases (<xref ref-type="bibr" rid="B5">5</xref>), patients would receive continuous renal replacement therapy (CRRT).</p>
<p>Serum calcium is commonly measured among patients in the intensive care unit (ICU) for its significant role in reflecting perturbation of essential physiological processes. Approximately half of serum total calcium (tCa) exists as ionized calcium (iCa), while the rest is combined with proteins or present in the diffusive form (<xref ref-type="bibr" rid="B6">6</xref>). The measurement of tCa is favored over iCa for its convenience. Nevertheless, the tCa measure relies highly on protein-bound calcium that is sensitive to the unstable protein level and blood pH among ICU patients. Although correction formulas have been used to adjust tCa with albumin level, their predicting capacity is diminished by various factors (<xref ref-type="bibr" rid="B7">7</xref>). Unlike tCa, iCa is unaffected by altered acid-base status or albumin level, thus making it a more reliable parameter in the assessment of patients&#x00027; calcium status (<xref ref-type="bibr" rid="B8">8</xref>) and health status.</p>
<p>There has been emerging evidence regarding the association between tCa, iCa, and the prognosis of ICU patients. Wang et al. (<xref ref-type="bibr" rid="B9">9</xref>) demonstrated that for critically ill patients, tCa showed no independent association with mortality, while low iCa levels were important prognosis predictors. In a systematic review investigating hypocalcemia in trauma patients, low iCa at admission was found to be related to elevated mortality (<xref ref-type="bibr" rid="B10">10</xref>). Moreover, a retrospective study including 357 pediatric patients established that high iCa level was independently associated with longer ICU stay in pediatric PCS patients (<xref ref-type="bibr" rid="B11">11</xref>). The reason for the association between calcium level and patient prognosis could be that calcium takes part in various physiological and biochemical processes such as heart electrophysiology and contraction, blood coagulation, neurotransmitter release, and enzyme activity regulation (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>). In severely ill cases, heart failure, and hyperadrenergic states are the most common disorders that are associated with calcium derangements (<xref ref-type="bibr" rid="B14">14</xref>). However, due to insufficient sample size and a lack of relevant research, the predictive value of iCa and tCa in the prognosis of ICU PCS patients has not yet been determined.</p>
<p>Therefore, we intended to investigate the association between the calcium concentration (both tCa and iCa) and the important outcomes (short-term and long-term mortality, length of ICU, hospital stay, mechanical ventilation assistance, and AKI in 7 days after the ICU admission) of PCS patients admitted to ICU in a large public clinical database.</p></sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and Methods</title>
<sec>
<title>Study Design and Data Source</title>
<p>The study is a retrospective cohort study with data collected from the Medical Information Mart for Intensive Care-III (MIMIC-III) database (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B16">16</xref>) and the electronic ICU (eICU) (<xref ref-type="bibr" rid="B17">17</xref>). Access to the database was approved by the institutional review boards of both Beth Israel Deaconess Medical Center and Massachusetts Institute of Technology Affiliates (authorization code: 40043439). We obtained the anonymous data from the database; therefore, the informed consent was waived. This study is reported following the Strengthening the Reporting of Observational studies in Epidemiology (STROBE) (<xref ref-type="bibr" rid="B18">18</xref>) statement.</p></sec>
<sec>
<title>Study Population and Outcome</title>
<p>The patients from MIMIC III data set with previous cardiac surgery were identified with current procedural terminology (CPT): the CPT number should be within 33010 and 37799. We included patients whose age was between 18 and 89 years old. If patients were admitted to hospital or ICU multiple times, only the first stay was analyzed. The patients with ICU stay &#x0003C;24 h were excluded. To further improve the credibility of our analysis and results, we also selected PCS patients in eICU database based on the documented treatment information.</p>
<p>Based on the concentration of ionized calcium, the study cohort was separated into four groups for further analysis: severe hypo-iCa group (iCa&#x02264; 0.9 mmol/L), mild hypo-iCa group (0.9 &#x0003C; iCa &#x02264;1.15 mmol/L), normal iCa group (1.15 &#x0003C; iCa &#x02264;1.25 mmol/L), and hyper iCa group (iCa &#x0003E; 1.25 mmol/L). We also divided the patients based on the total calcium concentration, which is illustrated in the <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Flow chart of patient selection in two databases.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-08-733528-g0001.tif"/>
</fig>
<p>In-hospital mortality was chosen as the primary endpoint. Follow-up mortalities, including 28-day mortality, 90-day mortality, and 1-year mortality; the incidence of AKI within 7 days after ICU admission; the length of ventilation, hospital stay, and ICU stay; the use of vasopressor drugs; and the intervention of CRRT within the first day of ICU were the secondary endpoints. The diagnosis of AKI was confirmed following the Kidney Disease: Improving Global Outcomes (KDIGO) guideline (<xref ref-type="bibr" rid="B19">19</xref>).</p></sec>
<sec>
<title>Data Collection</title>
<p>The data were extracted from the database using structure query language (SQL) with the code in MIMIC Code Repository (<ext-link ext-link-type="uri" xlink:href="https://github.com/MIT-LCP/mimic-website">https://github.com/MIT-LCP/mimic-website</ext-link>) using PostgreSQL (version 9.4.6, <ext-link ext-link-type="uri" xlink:href="http://www.postgresql.org">www.postgresql.org</ext-link>). The variables in this study included several parts: (1) demographics; (2) hospitalization and prognosis; (3) scoring systems on ICU admission; (4) vital signs; (5) comorbidities; (6) laboratory results; (7) treatment information including the use of calcium supplement; and (8) surgery type of patients (only obtainable in eICU database). For patients with multiple vital signs and laboratory tests, the mean values within the 24-h after ICU admission were included.</p>
<p>Variables with more than 30% missing values were excluded in the following analyses to avoid potential bias. We completed variables with &#x0003C;30% missing with the multiple imputation method (<xref ref-type="bibr" rid="B20">20</xref>).</p></sec>
<sec>
<title>Statistical Analysis</title>
<p>Demographics and clinical characteristics were reported using median and standard deviation (SD) for continuous variables and proportions for categorical variables. The Anderson&#x02013;Darling test was used to determine normality for each continuous variable. Comparisons between groups were made using <italic>t</italic>-tests or Mann&#x02013;Whitney <italic>U</italic>-test for continuous variables and chi-square or Fisher&#x00027;s exact tests for categorical variables.</p>
<p>Firstly, the LOWESS smooth technique was used to illustrate the relationship between calcium concentration and mortality. We chose the Cox proportional hazards model for the mortality outcomes while the logistics regression model was implemented for other outcomes. Specifically, we conducted the univariate analysis with all selected variables. The ones with significant association with outcomes (<italic>p</italic> &#x0003C; 0.05) and a change in the effect estimate exceeding 10% were adjusted in the following multivariate model.</p>
<p>Moreover, to ensure the robustness of our results, propensity score (PS) estimation (<xref ref-type="bibr" rid="B21">21</xref>) was performed to adjust the imbalances between the iCa groups with the TWANG package. The TWANG methods rely on tree-based regression models which are built in an iterative fashion, which were 10,000 in our case. The balance metric contained the max standardized differences between groups with the effect size (ES) and the Kolmogorov&#x02013;Smirnov (KS) statistic. We controlled the patients on the following variables: age, admission types, marital status, ethnicity, and the use of calcium supplement. Following this, each patient would be assigned a weight and the analysis processes were conducted on the non-matched cohort, and the weighted cohort, separately.</p>
<p>Subsequent subgroup analyses were also performed to further confirm our findings. Patients were divided based on the occurrence of hypertension, diabetes, pulmonary circulation diseases, obesity, AKD in 7 days after ICU admission, use of CRRT or vasopressor, median age, and severity scores. The multivariate cox analysis was performed to investigate the association between calcium groups and 28-day mortality and in-hospital mortality in the MIMIC III data set and eICU data set, respectively.</p>
<p>All data cleaning, statistical analyses and illustration were performed in R software (version 4.0.3) with &#x0201C;tableone&#x0201D; (<xref ref-type="bibr" rid="B22">22</xref>), &#x0201C;ggplot2&#x0201D; (<xref ref-type="bibr" rid="B23">23</xref>), &#x0201C;survival&#x0201D; (<xref ref-type="bibr" rid="B24">24</xref>), &#x0201C;survminer&#x0201D; (<xref ref-type="bibr" rid="B25">25</xref>), &#x0201C;lubridate&#x0201D; (<xref ref-type="bibr" rid="B26">26</xref>), and &#x0201C;tidyverse&#x0201D; (<xref ref-type="bibr" rid="B27">27</xref>). A <italic>p</italic> &#x0003C; 0.05 was considered statistically significant.</p></sec></sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Baseline Characteristics</title>
<p>The patient selection process is illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref> and the clinical characteristics at baseline are presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary File S1</xref>. In the eICU database, a large number of PCS patients were excluded since the absence of free-calcium concentration. The proportion of calcium groups, despite tCa or iCa, was similar in two data sets, and the group with the most patients was the mild hypocalcemia group. The results generated for this group were chosen to be our focus. The in-hospital mortality rate was lower in the eICU (4.3%) data set than the MIMIC III (15.1%) data set.</p></sec>
<sec>
<title>The Prognostic Value of iCa and tCa Groups</title>
<p>The relationship between calcium concentration and mortality is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. Given the huge gap between the different numbers of patients, the trends in the two data sets were slightly similar. Moreover, there were some common patterns: the increased mortality rate around 1 mmol/L iCa concentration, and the decreased mortality around 7.5 mg/dl tCa level.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>The relationship between <bold>(A)</bold> iCa and mortality in hospital in MIMIC III; <bold>(B)</bold> tCa and mortality in hospital in MIMIC III; <bold>(C)</bold> iCa and mortality in hospital in eICU; <bold>(D)</bold> tCa and mortality in hospital in eICU.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-08-733528-g0002.tif"/>
</fig>
<p>Following the aforementioned methods, we calculated the maximum standardized differences between groups (<xref ref-type="supplementary-material" rid="SM2">Supplementary Files S2</xref>, <xref ref-type="supplementary-material" rid="SM7">S8</xref>). The results of univariate analysis are attached in <xref ref-type="supplementary-material" rid="SM3">Supplementary Files S3</xref>, <xref ref-type="supplementary-material" rid="SM5">S5</xref>, <xref ref-type="supplementary-material" rid="SM8">S9</xref>, and the multivariate analysis was conducted for both pre-matched and post-matched cohorts (<xref ref-type="supplementary-material" rid="SM1">Supplementary Files S4</xref>, <xref ref-type="supplementary-material" rid="SM6">S6</xref>, <xref ref-type="supplementary-material" rid="SM9">S10</xref>). In the multivariate analysis (<xref ref-type="fig" rid="F3">Figure 3</xref>), the mild hypo-iCa group was proven to be a strong prognosis factor for higher mortality in the pre-and the post-match MIMIC III data set. Patients in the mild hypo-iCa group were less likely to be associated with mechanical ventilation assistance, longer hospital and ICU length, and higher risk of AKD 7 days after discharge from hospital. Similarly, in the eICU data set, the mild hypo-iCa group was also significantly related to the longer hospitalization length (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>The association between mild hypocalcemia and outcomes. The forest plot represents the hazard ratios (HR) or odds ratios (OR) and 95% confidence intervals (error bars).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-08-733528-g0003.tif"/>
</fig>
<p>Although for the tCa groups there was no ample evidence that mild hypo-tCa group was a reliable prognosis factor for mortality, it was associated with less in-hospital mortality as shown in the post-match MIMIC III data set (<xref ref-type="fig" rid="F3">Figure 3</xref>). It had a significant association with shorter hospital interval in eICU data sets (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p></sec>
<sec>
<title>Subgroup Analysis</title>
<p>In the subgroup analysis, we adjusted the results with gender, age, admission types, marital status, ethnicity, comorbidities, and calcium supplementation in the MIMIC data set and the gender, ethnicity, body mass index (BMI), and calcium supplementation in the eICU data set. In the MIMIC III data set, the mild hypo-iCa group was more likely to be significantly associated with worse prognosis regardless of the disease severity, based on the severity score subgroups (SOFA, SPASii, Elixhauser scores, <xref ref-type="fig" rid="F4">Figure 4</xref>). This trend was not consistent when it came to the results in eICU database (<xref ref-type="supplementary-material" rid="SM10">Supplementary File S11</xref>).</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Subgroup analysis of the associations between mild hypocalcemia and 28-day all-cause mortality in MIMIC III database. The forest plot represents the hazard ratios (HR) and 95% confidence intervals (error bars).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-08-733528-g0004.tif"/>
</fig></sec></sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>In the present study, we explored the calcium concentration and the prognosis of PCS patients admitted to ICU. In the MMIC III data set, the mild hypo-iCa group showed significant association with worse short-term and long-term prognosis. The mild-hypo tCa group did not significantly relate with the mortality rate in both cohorts but tended to predict less short-term and long-term mortality. Interestingly, the mild hypo-iCa group was strongly related to less mechanical ventilation use, longer ICU, hospital stay, and more AKI incidence 7 days after discharge.</p>
<p>A previous (<xref ref-type="bibr" rid="B28">28</xref>) study focused on the association of iCa with mortality using the MIMIC II database. The moderate hypocalcemia at the ICU admission group (0.8&#x02013;0.9 mmol/L, 265 patients) was significantly associated with an increased risk of death, while the mild and severe hypocalcemia patients (9,193 and 105 patients, respectively) did not show significant associations. Similarly, various studies had demonstrated the predictive value of lower iCa levels to a worse prognosis (<xref ref-type="bibr" rid="B29">29</xref>&#x02013;<xref ref-type="bibr" rid="B31">31</xref>). However, some studies gave contrary results to our study. Steele et al. identified no significant differences between the severe hypocalcemia patients (&#x0003C;0.9 mmol/L) and the normal patients (<xref ref-type="bibr" rid="B32">32</xref>). Egi et al. (<xref ref-type="bibr" rid="B33">33</xref>) also found iCa concentration had no independent association with hospital or ICU mortality except for the extreme abnormalities. As for the calcium concentration for cardiovascular disease patients, three studies with China patients reported that lower baseline serum calcium levels were associated with a higher risk of in-hospital mortality in myocardial infarction patients (<xref ref-type="bibr" rid="B34">34</xref>&#x02013;<xref ref-type="bibr" rid="B36">36</xref>). In another German study, calcium was strongly associated with all-cause mortality but not with cardiovascular events among stable coronary disease patients (<xref ref-type="bibr" rid="B37">37</xref>).</p>
<p>The reasons for differing results could be either the study patients (disease severity, number of patients, etc.), the single-center study design, the time point of sample collection, or the calcium supplementation intervention. It should also be noted that there was no consensus on the management of iCa disorder in ICU. The present study firstly implemented PS estimation method to adjust the imbalances between the iCa groups in PCS patients admitted to ICU. The results indicated that the mild hypo-iCa group significantly related to the worse prognosis outcomes (hospital, 28-day, 90-day, and 1-year mortality) in both pre-and post- matched MIMIC III data set but not significant in the eICU data set (in-hospital mortality). This was also a reflection of how results would vary since the heterogeneity of patients and institutions. Further novel-designed researches about the predictive effect of hypo-iCa are still required for more solid conclusions.</p>
<p>AKI is commonly caused by acute glomerular renal diseases, ischemia injury, and acute post-renal obstructive nephropathy (<xref ref-type="bibr" rid="B38">38</xref>). The association between calcium and kidney dysfunction could be explained by the vital role of calcium played in many biological processes, e.g., enzyme activity, vasodilatation, inflammation, thrombosis, and vascular smooth muscle movement (<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B40">40</xref>). Studies also suggested that hypocalcemia may alter the cardiac action potential and reduce renal sodium excretion, leading to fluid overload and decreased ventricular work index (<xref ref-type="bibr" rid="B35">35</xref>). In a recently published paper, Wang et al. (<xref ref-type="bibr" rid="B41">41</xref>) assessed the association of admission tCa and iCa with all-cause mortality in patients with AKI. They concluded low-iCa group (&#x0003C;1.06 mmol/L) was an independent predictor of all-cause mortality (30-, 90-, and 365-day) in critically ill patients with AKI. However, they did not stratify patients accurately enough and did not use the PS estimation method. Our findings suggested that the mild hypo-iCa group had an independent association with more AKI incidence 7 days after discharge for PCS patients, while tCa only significantly associated less incidence in the pre-match cohort. Moreover, for PCS patients with CRRT treatment, both iCa and tCa groups failed to related to the prognosis. The reason might be the disturbances or inaccurate measurement of calcium concentration caused by CRRT (<xref ref-type="bibr" rid="B42">42</xref>).</p>
<p>The strengths of our study are obvious. The present study is based on two well-established public databases and a comprehensive analysis process. A large number of patients and plenty of outcomes and results are available for further research and discussion. There are also several limitations in our study. Firstly, the detailed calcium measurement protocol is not clear in both MIMIC III and eICU databases, and the calcium level is actually a time-varying variable. Taking the mean value would cause the loss of certain information. Such time-varying variables can be analyzed with the Cox regression model to estimate its effect on survival time in future research (<xref ref-type="bibr" rid="B43">43</xref>). Secondly, the number of cases with extreme calcium values is relatively smaller compared with the mild group. Additionally, the PCS patients received different surgery types, which brings heterogeneity. Our study is a retrospective study, which means the causation cannot be established and only limited information about patients is available. There are several non-negligible contributors to the calcium level such as parathyroid hormone (PTH), calcitonin, and calcitriol, which were not included in the analysis.</p></sec>
<sec sec-type="conclusions" id="s5">
<title>Conclusions</title>
<p>To sum up, the mild hypo-iCa concentration (0.9&#x02013;1.15 mmol/L) within the first 24 h of ICU admission is associated with a higher risk of short- and long-term mortality, less use of mechanical ventilation, longer ICU and hospital stay, and the AKI 7 days after discharge in PCS patients admitted to ICU. Clinicians should be cautious if patients&#x00027; iCa concentration falls into this range. Further studies are still needed to determine the actual role of ionized and total calcium levels in disease states and the underlying mechanisms.</p></sec>
<sec sec-type="data-availability" id="s6">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://eicu-crd.mit.edu/">https://eicu-crd.mit.edu/</ext-link> and <ext-link ext-link-type="uri" xlink:href="https://mimic.mit.edu/">https://mimic.mit.edu/</ext-link>.</p></sec>
<sec id="s7">
<title>Author Contributions</title>
<p>SB, RL, and JL collected, analyzed, and interpreted the data. SB, RL, and SC contributed in writing the manuscript. JL and SC prepared the results. JG generated the idea, provided funding, and revised the manuscript. All authors read and approved the final manuscript.</p></sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>This current project was supported by the National Natural Science Foundation of China (Grant No. 81700410), the Sichuan Science and Technology Program, China (Grant Nos. 2019YFS0344, 2019YFS0251, and 2019YFS0352), and Post-Doctor Research Project, West China Hospital, Sichuan University (20HXBH171).</p></sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research 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="disclaimer" id="s9">
<title>Publisher&#x00027;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>
</body>
<back>
<sec sec-type="supplementary-material" id="s10">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fcvm.2021.733528/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fcvm.2021.733528/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.DOCX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_2.XLSX" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_3.XLSX" id="SM3" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_4.XLSX" id="SM4" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_5.XLSX" id="SM5" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_6.XLSX" id="SM6" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_7.XLSX" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_8.XLSX" id="SM7" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_9.XLSX" id="SM8" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_10.XLSX" id="SM9" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_11.XLSX" id="SM10" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<label>1.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Joseph</surname> <given-names>P</given-names></name> <name><surname>Leong</surname> <given-names>D</given-names></name> <name><surname>McKee</surname> <given-names>M</given-names></name> <name><surname>Anand</surname> <given-names>SS</given-names></name> <name><surname>Schwalm</surname> <given-names>J-D</given-names></name> <name><surname>Teo</surname> <given-names>K</given-names></name> <etal/></person-group>. <article-title>Reducing the global burden of cardiovascular disease, part 1: the epidemiology and risk factors</article-title>. <source>Circ Res.</source> (<year>2017</year>) <volume>121</volume>:<fpage>677</fpage>&#x02013;<lpage>94</lpage>. <pub-id pub-id-type="doi">10.1161/CIRCRESAHA.117.308903</pub-id><pub-id pub-id-type="pmid">28860318</pub-id></citation></ref>
<ref id="B2">
<label>2.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Devgun</surname> <given-names>JK</given-names></name> <name><surname>Gul</surname> <given-names>S</given-names></name> <name><surname>Mohananey</surname> <given-names>D</given-names></name> <name><surname>Jones</surname> <given-names>BM</given-names></name> <name><surname>Hussain</surname> <given-names>MS</given-names></name> <name><surname>Jobanputra</surname> <given-names>Y</given-names></name> <etal/></person-group>. <article-title>Cerebrovascular events after cardiovascular procedures: risk factors, recognition, and prevention strategies</article-title>. <source>J Am Coll Cardiol.</source> (<year>2018</year>) <volume>71</volume>:<fpage>1910</fpage>&#x02013;<lpage>20</lpage>. <pub-id pub-id-type="doi">10.1016/j.jacc.2018.02.065</pub-id><pub-id pub-id-type="pmid">29699618</pub-id></citation></ref>
<ref id="B3">
<label>3.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hoegl</surname> <given-names>S</given-names></name> <name><surname>Zwissler</surname> <given-names>B</given-names></name> <name><surname>Eltzschig</surname> <given-names>HK</given-names></name> <name><surname>Vohwinkel</surname> <given-names>C</given-names></name></person-group>. <article-title>Acute respiratory distress syndrome following cardiovascular surgery: current concepts and novel therapeutic approaches</article-title>. <source>Curr Opin Anaesthesiol.</source> (<year>2016</year>) <volume>29</volume>:<fpage>94</fpage>. <pub-id pub-id-type="doi">10.1097/ACO.0000000000000283</pub-id><pub-id pub-id-type="pmid">26598954</pub-id></citation></ref>
<ref id="B4">
<label>4.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>Y</given-names></name> <name><surname>Bellomo</surname> <given-names>R</given-names></name></person-group>. <article-title>Cardiac surgery-associated acute kidney injury: risk factors, pathophysiology and treatment</article-title>. <source>Nat Rev Nephrol.</source> (<year>2017</year>) <volume>13</volume>:<fpage>697</fpage>. <pub-id pub-id-type="doi">10.1038/nrneph.2017.119</pub-id><pub-id pub-id-type="pmid">28869251</pub-id></citation></ref>
<ref id="B5">
<label>5.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>H-J</given-names></name> <name><surname>Wang</surname> <given-names>P</given-names></name> <name><surname>Li</surname> <given-names>N</given-names></name> <name><surname>Wan</surname> <given-names>C</given-names></name> <name><surname>Jiang</surname> <given-names>C-M</given-names></name> <name><surname>He</surname> <given-names>J-S</given-names></name> <etal/></person-group>. <article-title>Effects of continuous renal replacement therapy on serum cytokines, neutrophil gelatinase-associated lipocalin, and prognosis in patients with severe acute kidney injury after cardiac surgery</article-title>. <source>Oncotarget.</source> (<year>2017</year>) <volume>8</volume>:<fpage>10628</fpage>. <pub-id pub-id-type="doi">10.18632/oncotarget.13254</pub-id><pub-id pub-id-type="pmid">27833089</pub-id></citation></ref>
<ref id="B6">
<label>6.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Aberegg</surname> <given-names>SK</given-names></name></person-group>. <article-title>Ionized calcium in the ICU: should it be measured and corrected?</article-title> <source>Chest.</source> (<year>2016</year>) <volume>149</volume>:<fpage>846</fpage>&#x02013;<lpage>55</lpage>. <pub-id pub-id-type="doi">10.1016/j.chest.2015.12.001</pub-id><pub-id pub-id-type="pmid">26836894</pub-id></citation></ref>
<ref id="B7">
<label>7.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mir</surname> <given-names>AA</given-names></name> <name><surname>Goyal</surname> <given-names>B</given-names></name> <name><surname>Datta</surname> <given-names>SK</given-names></name> <name><surname>Ikkurthi</surname> <given-names>S</given-names></name> <name><surname>Pal</surname> <given-names>A</given-names></name></person-group>. <article-title>Comparison between measured and calculated free calcium values at different serum albumin concentrations</article-title>. <source>J Lab Phys.</source> (<year>2016</year>) <volume>8</volume>:<fpage>71</fpage>. <pub-id pub-id-type="doi">10.4103/0974-2727.180785</pub-id><pub-id pub-id-type="pmid">27365914</pub-id></citation></ref>
<ref id="B8">
<label>8.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pekar</surname> <given-names>J-D</given-names></name> <name><surname>Grzych</surname> <given-names>G</given-names></name> <name><surname>Durand</surname> <given-names>G</given-names></name> <name><surname>Haas</surname> <given-names>J</given-names></name> <name><surname>Lionet</surname> <given-names>A</given-names></name> <name><surname>Brousseau</surname> <given-names>T</given-names></name> <etal/></person-group>. <article-title>Calcium state estimation by total calcium: the evidence to end the never-ending story</article-title>. <source>Clin Chem Lab Med.</source> (<year>2020</year>) <volume>58</volume>:<fpage>222</fpage>&#x02013;<lpage>31</lpage>. <pub-id pub-id-type="doi">10.1515/cclm-2019-0568</pub-id><pub-id pub-id-type="pmid">31473684</pub-id></citation></ref>
<ref id="B9">
<label>9.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>B</given-names></name> <name><surname>Gong</surname> <given-names>Y</given-names></name> <name><surname>Ying</surname> <given-names>B</given-names></name> <name><surname>Cheng</surname> <given-names>B</given-names></name></person-group>. <article-title>Association of initial serum total calcium concentration with mortality in critical illness</article-title>. <source>Biomed Res Int.</source> (<year>2018</year>) <volume>2018</volume>:<fpage>7648506</fpage>. <pub-id pub-id-type="doi">10.1155/2018/7648506</pub-id><pub-id pub-id-type="pmid">30046608</pub-id></citation></ref>
<ref id="B10">
<label>10.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vasudeva</surname> <given-names>M</given-names></name> <name><surname>Mathew</surname> <given-names>JK</given-names></name> <name><surname>Groombridge</surname> <given-names>C</given-names></name> <name><surname>Tee</surname> <given-names>JW</given-names></name> <name><surname>Johnny</surname> <given-names>CS</given-names></name> <name><surname>Maini</surname> <given-names>A</given-names></name> <etal/></person-group>. <article-title>Hypocalcemia in trauma patients: a systematic review</article-title>. <source>J Trauma Acute Care Surg.</source> (<year>2021</year>) <volume>90</volume>:<fpage>396</fpage>. <pub-id pub-id-type="doi">10.1097/TA.0000000000003027</pub-id><pub-id pub-id-type="pmid">33196630</pub-id></citation></ref>
<ref id="B11">
<label>11.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kimura</surname> <given-names>S</given-names></name> <name><surname>Iwasaki</surname> <given-names>T</given-names></name> <name><surname>Oe</surname> <given-names>K</given-names></name> <name><surname>Shimizu</surname> <given-names>K</given-names></name> <name><surname>Suemori</surname> <given-names>T</given-names></name> <name><surname>Kanazawa</surname> <given-names>T</given-names></name> <etal/></person-group>. <article-title>High ionized calcium concentration is associated with prolonged length of stay in the intensive care unit for postoperative pediatric cardiac patients</article-title>. <source>J Cardiothorac Vasc Anesth.</source> (<year>2018</year>) <volume>32</volume>:<fpage>1667</fpage>&#x02013;<lpage>75</lpage>. <pub-id pub-id-type="doi">10.1053/j.jvca.2017.11.006</pub-id><pub-id pub-id-type="pmid">29273480</pub-id></citation></ref>
<ref id="B12">
<label>12.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Santulli</surname> <given-names>G</given-names></name> <name><surname>R Marks</surname> <given-names>A</given-names></name></person-group>. <article-title>Essential roles of intracellular calcium release channels in muscle, brain, metabolism, and aging</article-title>. <source>Curr Mol Pharmacol.</source> (<year>2015</year>) <volume>8</volume>:<fpage>206</fpage>&#x02013;<lpage>22</lpage>. <pub-id pub-id-type="doi">10.2174/1874467208666150507105105</pub-id><pub-id pub-id-type="pmid">25966694</pub-id></citation></ref>
<ref id="B13">
<label>13.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Eisner</surname> <given-names>D</given-names></name> <name><surname>Bode</surname> <given-names>E</given-names></name> <name><surname>Venetucci</surname> <given-names>L</given-names></name> <name><surname>Trafford</surname> <given-names>A</given-names></name></person-group>. <article-title>Calcium flux balance in the heart</article-title>. <source>J Mol Cell Cardiol.</source> (<year>2013</year>) <volume>58</volume>:<fpage>110</fpage>&#x02013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1016/j.yjmcc.2012.11.017</pub-id><pub-id pub-id-type="pmid">23220128</pub-id></citation></ref>
<ref id="B14">
<label>14.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gromadzi&#x00144;ski</surname> <given-names>L</given-names></name> <name><surname>Januszko-Giergielewicz</surname> <given-names>B</given-names></name> <name><surname>Pruszczyk</surname> <given-names>P</given-names></name></person-group>. <article-title>Hypocalcemia is related to left ventricular diastolic dysfunction in patients with chronic kidney disease</article-title>. <source>J Cardiol.</source> (<year>2014</year>) <volume>63</volume>:<fpage>198</fpage>&#x02013;<lpage>204</lpage>. <pub-id pub-id-type="doi">10.1016/j.jjcc.2013.08.003</pub-id><pub-id pub-id-type="pmid">24012332</pub-id></citation></ref>
<ref id="B15">
<label>15.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Goldberger</surname> <given-names>AL</given-names></name> <name><surname>Amaral</surname> <given-names>LAN</given-names></name> <name><surname>Glass</surname> <given-names>L</given-names></name> <name><surname>Hausdorff</surname> <given-names>JM</given-names></name> <name><surname>Ivanov</surname> <given-names>PC</given-names></name> <name><surname>Mark</surname> <given-names>RG</given-names></name> <etal/></person-group>. <article-title>PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals</article-title>. <source>Circulation.</source> (<year>2000</year>) <volume>101</volume>:<fpage>e215</fpage>&#x02013;<lpage>20</lpage>. <pub-id pub-id-type="doi">10.1161/01.CIR.101.23.e215</pub-id><pub-id pub-id-type="pmid">10851218</pub-id></citation></ref>
<ref id="B16">
<label>16.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Johnson</surname> <given-names>AEW</given-names></name> <name><surname>Pollard</surname> <given-names>TJ</given-names></name> <name><surname>Shen</surname> <given-names>L</given-names></name> <name><surname>Li-Wei</surname> <given-names>HL</given-names></name> <name><surname>Feng</surname> <given-names>M</given-names></name> <name><surname>Ghassemi</surname> <given-names>M</given-names></name> <etal/></person-group>. <article-title>MIMIC-III, a freely accessible critical care database</article-title>. <source>Sci Data.</source> (<year>2016</year>) <volume>3</volume>:<fpage>160035</fpage>. <pub-id pub-id-type="doi">10.1038/sdata.2016.35</pub-id><pub-id pub-id-type="pmid">27219127</pub-id></citation></ref>
<ref id="B17">
<label>17.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pollard</surname> <given-names>TJ</given-names></name> <name><surname>Johnson</surname> <given-names>AEW</given-names></name> <name><surname>Raffa</surname> <given-names>JD</given-names></name> <name><surname>Celi</surname> <given-names>LA</given-names></name> <name><surname>Mark</surname> <given-names>RG</given-names></name> <name><surname>Badawi</surname> <given-names>O</given-names></name></person-group>. <article-title>The eICU collaborative research database, a freely available multi-center database for critical care research</article-title>. <source>Sci Data.</source> (<year>2018</year>) <volume>5</volume>:<fpage>180178</fpage>. <pub-id pub-id-type="doi">10.1038/sdata.2018.178</pub-id><pub-id pub-id-type="pmid">30204154</pub-id></citation></ref>
<ref id="B18">
<label>18.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vandenbroucke</surname> <given-names>JP</given-names></name> <name><surname>Von Elm</surname> <given-names>E</given-names></name> <name><surname>Altman</surname> <given-names>DG</given-names></name> <name><surname>G&#x000F8;tzsche</surname> <given-names>PC</given-names></name> <name><surname>Mulrow</surname> <given-names>CD</given-names></name> <name><surname>Pocock</surname> <given-names>SJ</given-names></name> <etal/></person-group>. <article-title>Strengthening the Reporting of Observational Studies in Epidemiology (STROBE): explanation and elaboration</article-title>. <source>PLoS Med.</source> (<year>2007</year>) <volume>4</volume>:<fpage>e297</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pmed.0040297</pub-id><pub-id pub-id-type="pmid">25046751</pub-id></citation></ref>
<ref id="B19">
<label>19.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kidney</surname> <given-names>Disease: Improving Global Outcomes (KDIGO) CKD Work Group</given-names></name></person-group>. <article-title>KDIGO 2012 clinical practice guideline for the evaluation and management of chronic kidney disease</article-title>. <source>Kidney Int Suppl.</source> (<year>2013</year>) <volume>3</volume>:<fpage>1</fpage>&#x02013;<lpage>150</lpage>.<pub-id pub-id-type="pmid">23989362</pub-id></citation></ref>
<ref id="B20">
<label>20.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Buuren</surname> <given-names>S</given-names></name> <name><surname>Groothuis-Oudshoorn</surname> <given-names>K</given-names></name></person-group>. <article-title>mice: Multivariate imputation by chained equations in R</article-title>. <source>J Statist Softw.</source> (<year>2010</year>) <volume>45</volume>:<fpage>1</fpage>&#x02013;<lpage>68</lpage>. <pub-id pub-id-type="doi">10.18637/jss.v045.i03</pub-id></citation>
</ref>
<ref id="B21">
<label>21.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>McCaffrey</surname> <given-names>DF</given-names></name> <name><surname>Griffin</surname> <given-names>BA</given-names></name> <name><surname>Almirall</surname> <given-names>D</given-names></name> <name><surname>Slaughter</surname> <given-names>ME</given-names></name> <name><surname>Ramchand</surname> <given-names>R</given-names></name> <name><surname>Burgette</surname> <given-names>LF</given-names></name></person-group>. <article-title>A tutorial on propensity score estimation for multiple treatments using generalized boosted models</article-title>. <source>Statist Med.</source> (<year>2013</year>) <volume>32</volume>:<fpage>3388</fpage>&#x02013;<lpage>414</lpage>. <pub-id pub-id-type="doi">10.1002/sim.5753</pub-id><pub-id pub-id-type="pmid">23508673</pub-id></citation></ref>
<ref id="B22">
<label>22.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yoshida</surname> <given-names>K</given-names></name> <name><surname>Bohn</surname> <given-names>J</given-names></name></person-group>. <source>tableone: Create &#x0201C;Table 1&#x0201D; to Describe Baseline Characteristics</source>. R package version 7 (<year>2015</year>).</citation>
</ref>
<ref id="B23">
<label>23.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ginestet</surname> <given-names>C</given-names></name></person-group>. <source>ggplot2: Elegant Graphics for Data Analysis</source>. Wiley Online Library (<year>2011</year>). <pub-id pub-id-type="doi">10.1111/j.1467-985X.2010.00676_9.x</pub-id></citation>
</ref>
<ref id="B24">
<label>24.</label>
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Therneau</surname> <given-names>T</given-names></name></person-group>. <source>A Package for Survival Analysis in R. R Package Version 3.2-3. [Computer software].</source> <publisher-loc>Rochester, MN</publisher-loc>: <publisher-name>Mayo Clinic</publisher-name> (<year>2020</year>).</citation>
</ref>
<ref id="B25">
<label>25.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kassambara</surname> <given-names>A</given-names></name> <name><surname>Kosinski</surname> <given-names>M</given-names></name> <name><surname>Biecek</surname> <given-names>P</given-names></name> <name><surname>Fabian</surname> <given-names>S</given-names></name></person-group>. <source>survminer: Drawing Survival Curves Using &#x00027;ggplot2&#x00027;</source>. R package version 0.3.1(<year>2017</year>).</citation>
</ref>
<ref id="B26">
<label>26.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Grolemund</surname> <given-names>G</given-names></name> <name><surname>Wickham</surname> <given-names>H</given-names></name></person-group>. <article-title>Dates and times made easy with lubridate</article-title>. <source>J Statist Softw.</source> (<year>2011</year>) <volume>40</volume>:<fpage>1</fpage>&#x02013;<lpage>25</lpage>. <pub-id pub-id-type="doi">10.18637/jss.v040.i03</pub-id></citation>
</ref>
<ref id="B27">
<label>27.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wickham</surname> <given-names>H</given-names></name> <name><surname>Averick</surname> <given-names>M</given-names></name> <name><surname>Bryan</surname> <given-names>J</given-names></name> <name><surname>Chang</surname> <given-names>W</given-names></name> <name><surname>McGowan</surname> <given-names>LDA</given-names></name> <name><surname>Fran&#x000E7;ois</surname> <given-names>R</given-names></name> <etal/></person-group>. <article-title>Welcome to the tidyverse</article-title>. <source>J Open Sour Softw.</source> (<year>2019</year>) <volume>4</volume>:<fpage>1686</fpage>. <pub-id pub-id-type="doi">10.21105/joss.01686</pub-id></citation>
</ref>
<ref id="B28">
<label>28.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>Z</given-names></name> <name><surname>Xu</surname> <given-names>X</given-names></name> <name><surname>Ni</surname> <given-names>H</given-names></name> <name><surname>Deng</surname> <given-names>H</given-names></name></person-group>. <article-title>Predictive value of ionized calcium in critically ill patients: an analysis of a large clinical database MIMIC II</article-title>. <source>PLoS ONE.</source> (<year>2014</year>) <volume>9</volume>:<fpage>e95204</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0095204</pub-id><pub-id pub-id-type="pmid">24736693</pub-id></citation></ref>
<ref id="B29">
<label>29.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Choi</surname> <given-names>YC</given-names></name> <name><surname>Hwang</surname> <given-names>SY</given-names></name></person-group>. <article-title>The value of initial ionized calcium as a predictor of mortality and triage tool in adult trauma patients</article-title>. <source>J Korean Med Sci.</source> (<year>2008</year>) <volume>23</volume>:<fpage>700</fpage>. <pub-id pub-id-type="doi">10.3346/jkms.2008.23.4.700</pub-id><pub-id pub-id-type="pmid">18756060</pub-id></citation></ref>
<ref id="B30">
<label>30.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cherry</surname> <given-names>RA</given-names></name> <name><surname>Bradburn</surname> <given-names>E</given-names></name> <name><surname>Carney</surname> <given-names>DE</given-names></name> <name><surname>Shaffer</surname> <given-names>ML</given-names></name> <name><surname>Gabbay</surname> <given-names>RA</given-names></name> <name><surname>Cooney</surname> <given-names>RN</given-names></name></person-group>. <article-title>Do early ionized calcium levels really matter in trauma patients?</article-title> <source>J Trauma Acute Care Surg.</source> (<year>2006</year>) <volume>61</volume>:<fpage>774</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1097/01.ta.0000239516.49799.63</pub-id><pub-id pub-id-type="pmid">17033540</pub-id></citation></ref>
<ref id="B31">
<label>31.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>H&#x000E4;stbacka</surname> <given-names>J</given-names></name> <name><surname>Pettil&#x000E4;</surname> <given-names>V</given-names></name></person-group>. <article-title>Prevalence and predictive value of ionized hypocalcemia among critically ill patients</article-title>. <source>Acta Anaesthesiol Scand.</source> (<year>2003</year>) <volume>47</volume>:<fpage>1264</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1046/j.1399-6576.2003.00236.x</pub-id><pub-id pub-id-type="pmid">14616325</pub-id></citation></ref>
<ref id="B32">
<label>32.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Steele</surname> <given-names>T</given-names></name> <name><surname>Kolamunnage-Dona</surname> <given-names>R</given-names></name> <name><surname>Downey</surname> <given-names>C</given-names></name> <name><surname>Toh</surname> <given-names>C-H</given-names></name> <name><surname>Welters</surname> <given-names>I</given-names></name></person-group>. <article-title>Assessment and clinical course of hypocalcemia in critical illness</article-title>. <source>Critical Care.</source> (<year>2013</year>) <volume>17</volume>:<fpage>1</fpage>&#x02013;<lpage>10</lpage>. <pub-id pub-id-type="doi">10.1186/cc12756</pub-id><pub-id pub-id-type="pmid">23734769</pub-id></citation></ref>
<ref id="B33">
<label>33.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Egi</surname> <given-names>M</given-names></name> <name><surname>Kim</surname> <given-names>I</given-names></name> <name><surname>Nichol</surname> <given-names>A</given-names></name> <name><surname>Stachowski</surname> <given-names>E</given-names></name> <name><surname>French</surname> <given-names>CJ</given-names></name> <name><surname>Hart</surname> <given-names>GK</given-names></name> <etal/></person-group>. <article-title>Ionized calcium concentration and outcome in critical illness</article-title>. <source>Critical Care Med.</source> (<year>2011</year>) <volume>39</volume>:<fpage>314</fpage>&#x02013;<lpage>321</lpage>. <pub-id pub-id-type="doi">10.1097/CCM.0b013e3181ffe23e</pub-id><pub-id pub-id-type="pmid">21099425</pub-id></citation></ref>
<ref id="B34">
<label>34.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gu</surname> <given-names>X</given-names></name> <name><surname>Ding</surname> <given-names>X</given-names></name> <name><surname>Sun</surname> <given-names>H</given-names></name> <name><surname>Chen</surname> <given-names>N</given-names></name> <name><surname>Liu</surname> <given-names>D</given-names></name> <name><surname>Sun</surname> <given-names>D</given-names></name> <etal/></person-group>. <article-title>Usefulness of serum calcium in the risk stratification of midterm mortality among patients with acute coronary syndrome</article-title>. <source>Biomed Res Int.</source> (<year>2019</year>) <volume>2019</volume>:<fpage>9542054</fpage>. <pub-id pub-id-type="doi">10.1155/2019/9542054</pub-id><pub-id pub-id-type="pmid">31781656</pub-id></citation></ref>
<ref id="B35">
<label>35.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yan</surname> <given-names>SD</given-names></name> <name><surname>Liu</surname> <given-names>XJ</given-names></name> <name><surname>Peng</surname> <given-names>Y</given-names></name> <name><surname>Xia</surname> <given-names>TL</given-names></name> <name><surname>Liu</surname> <given-names>W</given-names></name> <name><surname>Tsauo</surname> <given-names>JY</given-names></name> <etal/></person-group>. <article-title>Admission serum calcium levels improve the GRACE risk score prediction of hospital mortality in patients with acute coronary syndrome</article-title>. <source>Clin Cardiol.</source> (<year>2016</year>) <volume>39</volume>:<fpage>516</fpage>&#x02013;<lpage>23</lpage>. <pub-id pub-id-type="doi">10.1002/clc.22557</pub-id><pub-id pub-id-type="pmid">27279131</pub-id></citation></ref>
<ref id="B36">
<label>36.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lu</surname> <given-names>X</given-names></name> <name><surname>Wang</surname> <given-names>Y</given-names></name> <name><surname>Meng</surname> <given-names>H</given-names></name> <name><surname>Chen</surname> <given-names>P</given-names></name> <name><surname>Huang</surname> <given-names>Y</given-names></name> <name><surname>Wang</surname> <given-names>Z</given-names></name> <etal/></person-group>. <article-title>Association of admission serum calcium levels and in-hospital mortality in patients with acute ST-elevated myocardial infarction: an eight-year, single-center study in China</article-title>. <source>PLoS ONE.</source> (<year>2014</year>) <volume>9</volume>:<fpage>e99895</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0099895</pub-id><pub-id pub-id-type="pmid">24926660</pub-id></citation></ref>
<ref id="B37">
<label>37.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Grandi</surname> <given-names>NC</given-names></name> <name><surname>Brenner</surname> <given-names>H</given-names></name> <name><surname>Hahmann</surname> <given-names>H</given-names></name> <name><surname>W&#x000FC;sten</surname> <given-names>B</given-names></name> <name><surname>M&#x000E4;rz</surname> <given-names>W</given-names></name> <name><surname>Rothenbacher</surname> <given-names>D</given-names></name> <etal/></person-group>. <article-title>Calcium, phosphate and the risk of cardiovascular events and all-cause mortality in a population with stable coronary heart disease</article-title>. <source>Heart.</source> (<year>2012</year>) <volume>98</volume>:<fpage>926</fpage>&#x02013;<lpage>33</lpage>. <pub-id pub-id-type="doi">10.1136/heartjnl-2011-300806</pub-id><pub-id pub-id-type="pmid">22949485</pub-id></citation></ref>
<ref id="B38">
<label>38.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Khwaja</surname> <given-names>A</given-names></name></person-group>. <article-title>KDIGO clinical practice guidelines for acute kidney injury</article-title>. <source>Nephron Clin Pract.</source> (<year>2012</year>) <volume>120</volume>:<fpage>c179</fpage>&#x02013;<lpage>84</lpage>. <pub-id pub-id-type="doi">10.1159/000339789</pub-id><pub-id pub-id-type="pmid">24121762</pub-id></citation></ref>
<ref id="B39">
<label>39.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Akirov</surname> <given-names>A</given-names></name> <name><surname>Gorshtein</surname> <given-names>A</given-names></name> <name><surname>Shraga-Slutzky</surname> <given-names>I</given-names></name> <name><surname>Shimon</surname> <given-names>I</given-names></name></person-group>. <article-title>Calcium levels on admission and before discharge are associated with mortality risk in hospitalized patients</article-title>. <source>Endocrine.</source> (<year>2017</year>) <volume>57</volume>:<fpage>344</fpage>&#x02013;<lpage>51</lpage>. <pub-id pub-id-type="doi">10.1007/s12020-017-1353-y</pub-id><pub-id pub-id-type="pmid">28667379</pub-id></citation></ref>
<ref id="B40">
<label>40.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Micha&#x000EB;lsson</surname> <given-names>K</given-names></name> <name><surname>Melhus</surname> <given-names>H</given-names></name> <name><surname>Lemming</surname> <given-names>EW</given-names></name> <name><surname>Wolk</surname> <given-names>A</given-names></name> <name><surname>Byberg</surname> <given-names>L</given-names></name></person-group>. <article-title>Long term calcium intake and rates of all cause and cardiovascular mortality: community based prospective longitudinal cohort study</article-title>. <source>BMJ.</source> (<year>2013</year>) <volume>346</volume>:<fpage>f228</fpage>. <pub-id pub-id-type="doi">10.1136/bmj.f228</pub-id><pub-id pub-id-type="pmid">23403980</pub-id></citation></ref>
<ref id="B41">
<label>41.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>B</given-names></name> <name><surname>Li</surname> <given-names>D</given-names></name> <name><surname>Gong</surname> <given-names>Y</given-names></name> <name><surname>Ying</surname> <given-names>B</given-names></name> <name><surname>Cheng</surname> <given-names>B</given-names></name></person-group>. <article-title>Association of serum total and ionized calcium with all-cause mortality incritically ill patients with acute kidney injury</article-title>. <source>Clin Chim Acta.</source> (<year>2019</year>) <volume>494</volume>:<fpage>94</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1016/j.cca.2019.03.1616</pub-id><pub-id pub-id-type="pmid">30890398</pub-id></citation></ref>
<ref id="B42">
<label>42.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schwarzer</surname> <given-names>P</given-names></name> <name><surname>Kuhn</surname> <given-names>S-O</given-names></name> <name><surname>Stracke</surname> <given-names>S</given-names></name> <name><surname>Gr&#x000FC;ndling</surname> <given-names>M</given-names></name> <name><surname>Knigge</surname> <given-names>S</given-names></name> <name><surname>Selleng</surname> <given-names>S</given-names></name> <etal/></person-group>. <article-title>Discrepant post filter ionized calcium concentrations by common blood gas analyzers in CRRT using regional citrate anticoagulation</article-title>. <source>Crit Care.</source> (<year>2015</year>) <volume>19</volume>:<fpage>268</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1186/s13054-015-1027-1</pub-id><pub-id pub-id-type="pmid">26353802</pub-id></citation></ref>
<ref id="B43">
<label>43.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>Z</given-names></name> <name><surname>Reinikainen</surname> <given-names>J</given-names></name> <name><surname>Adeleke</surname> <given-names>KA</given-names></name> <name><surname>Pieterse</surname> <given-names>ME</given-names></name> <name><surname>Groothuis-Oudshoorn</surname> <given-names>CGM</given-names></name></person-group>. <article-title>Time-varying covariates and coefficients in Cox regression models</article-title>. <source>Ann Transl Med.</source> (<year>2018</year>) <volume>6</volume>:<fpage>121</fpage>. <pub-id pub-id-type="doi">10.21037/atm.2018.02.12</pub-id><pub-id pub-id-type="pmid">29955581</pub-id></citation></ref>
</ref-list> 
</back>
</article>