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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Med.</journal-id>
<journal-title>Frontiers in Medicine</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Med.</abbrev-journal-title>
<issn pub-type="epub">2296-858X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmed.2025.1625542</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Medicine</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Hemoglobin-to-red blood cell distribution width ratio: a new insight into cognitive protection for obese individuals</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Xu</surname> <given-names>Ruikai</given-names></name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Wu</surname> <given-names>Zelin</given-names></name>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Liu</surname> <given-names>Zhonghua</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/3060144/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff><institution>Department of Rehabilitation, Zhongshan People&#x2019;s Hospital, Zhongshan</institution>, <addr-line>Guangdong</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1661840/overview">Lei Qin</ext-link>, University of International Business and Economics, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2932929/overview">Azmi Eyiol</ext-link>, Konya Beyhekim State Hospital, T&#x00FC;rkiye</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2992202/overview">Natasha Anita</ext-link>, University of California, San Diego, United States</p></fn>
<corresp id="c001">&#x002A;Correspondence: Zhonghua Liu, <email>zhonghua_reha@163.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1625542</elocation-id>
<history>
<date date-type="received">
<day>09</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Xu, Wu and Liu.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Xu, Wu and Liu</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>
<sec>
<title>Background and Objective</title>
<p>Aging and obesity are recognized as risk factors for cognitive decline. Hemoglobin (Hb) reflects oxygen supply capacity, while red blood cell distribution width (RDW) reflects levels of inflammation and oxidative stress. The hemoglobin-to-red blood cell distribution width ratio (HRR), by integrating the core physiological functions of Hb and RDW, can more comprehensively reflect the common mechanisms affecting aging, obesity, and cognitive function. The objective of this research was to explore the link between the HRR and cognitive performance among the obese population.</p>
</sec>
<sec>
<title>Methods</title>
<p>This cross-sectional study used data from the National Health and Nutrition Examination Survey (NHANES) and employed multiple regression analysis, smooth curve fitting, and subgroup analysis to investigate the relationship between HRR and cognitive function.</p>
</sec>
<sec>
<title>Results</title>
<p>1,055 obese individuals aged &#x2265;60 years participated in the study. After adjusting for covariates, HRR was significantly positively correlated with DSST scores (&#x03B2; = 14.45; 95% CI, 7.55&#x2013;21.35) and total cognitive Z-scores (&#x03B2; = 1.53; 95% CI, 0.40&#x2013;2.67). HRR was significantly negatively correlated with low cognitive function as assessed by DSST (OR = 0.04; 95% CI, 0.01&#x2013;0.23). Compared to individuals with lower education levels, those with higher educational backgrounds showed a more pronounced positive correlation between HRR and DSST scores.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Maintaining a higher HRR may be an important strategy for protecting cognitive function in obese individuals aged &#x2265;60 years.</p>
</sec>
</abstract>
<kwd-group>
<kwd>hemoglobin</kwd>
<kwd>red blood cell distribution width ratio</kwd>
<kwd>cognitive function</kwd>
<kwd>obese</kwd>
<kwd>NHANES</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="65"/>
<page-count count="15"/>
<word-count count="8699"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Geriatric Medicine</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="S1">
<title>1 Background</title>
<p>As humans age, there is often a decline in cognitive function, which significantly increases the risk of developing mild cognitive impairment and eventually dementia (<xref ref-type="bibr" rid="B1">1</xref>). In patients with dementia, cognitive impairment severely impacts quality of life and the ability to live independently (<xref ref-type="bibr" rid="B2">2</xref>).</p>
<p>Cognitive impairment has become a major public health issue (<xref ref-type="bibr" rid="B3">3</xref>). By the middle of the 21st century, it is projected that the number of individuals with cognitive impairment in the United States will exceed 21 million, while the global number of dementia patients will surpass 150 million (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B4">4</xref>). This growing trend will impose substantial burdens on individuals, society, and the economy (<xref ref-type="bibr" rid="B5">5</xref>).</p>
<p>The relationship between obesity and cognitive impairment is particularly significant (<xref ref-type="bibr" rid="B6">6</xref>). Obesity increases the risk of developing Alzheimer&#x2019;s disease, stroke-related dementia (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>). Obesity increases cognitive impairment risk via multiple mechanisms: High-fat diets trigger brain inflammation in areas like the hypothalamus and hippocampus, releasing inflammatory factors that damage neural structures (<xref ref-type="bibr" rid="B8">8</xref>&#x2013;<xref ref-type="bibr" rid="B10">10</xref>). This process also causes lipid peroxidation, harming the blood-brain barrier (<xref ref-type="bibr" rid="B11">11</xref>). Insulin resistance in the brain impairs glucose use and synaptic function, while leptin resistance and ghrelin imbalance disrupt appetite control and reinforce rewards system sensitivity to fatty foods (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>). These mechanisms together reduce gray matter volume in key brain regions, degrade white matter integrity, decrease blood flow, and weaken network connectivity, ultimately worsening cognitive decline and dementia risk (<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>).</p>
<p>As a core factor maintaining the homeostasis of cerebral oxygen supply, hemoglobin (Hb) participates in the regulation of cognitive function by regulating oxygen metabolism (<xref ref-type="bibr" rid="B16">16</xref>). When Hb levels decrease, the oxygen delivery through cerebral blood flow fails to match metabolic demands, which can induce functional impairment of brain cells and accelerate the progression of cognitive decline (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>). Red blood cell distribution width (RDW) is significantly correlated with systemic inflammatory response and oxidative stress levels, and these mechanisms are the common core pathophysiological pathways driving aging, obesity, and cognitive decline (<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>). By integrating the oxygen supply regulatory function of Hb and the inflammation and oxidative stress signals reflected by RDW, hemoglobin-to-red blood cell distribution width ratio (HRR) constructs a multi-dimensional association mechanism with aging, obesity, and cognitive function. As a composite biomarker integrating the core physiological functions of Hb and RDW, HRR can more comprehensively reflect the common mechanisms affecting aging, obesity, and cognitive function including inflammation, oxidative stress, abnormal oxygen metabolism, and nerve damage, thereby overcoming the limitation that a single biomarker can only reflect local pathophysiological processes (<xref ref-type="bibr" rid="B14">14</xref>). The HRR has shown promise in predicting various diseases, including depression (<xref ref-type="bibr" rid="B20">20</xref>), coronary artery disease (<xref ref-type="bibr" rid="B21">21</xref>), stroke (<xref ref-type="bibr" rid="B22">22</xref>), osteoporosis (<xref ref-type="bibr" rid="B23">23</xref>), and metastatic kidney cancer (<xref ref-type="bibr" rid="B24">24</xref>) in recent years.</p>
<p>Notably, research on the HRR and cognitive function remains scarce, particularly among obese individuals aged &#x2265;60 years. We hypothesize that in obese populations, higher HRR correlates with better cognitive performance, independent of confounders like age and comorbidities, potentially mediated by improved cerebral oxygenation and reduced systemic inflammation. This study explores HRR&#x2019;s association with cognitive function in this group, examining whether elevated HRR acts as a cognitive protective factor&#x2013;offering new insights into cognitive protection for obese older adults.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>2 Materials and methods</title>
<sec id="S2.SS1">
<title>2.1 Study population</title>
<p>This study focused on the NHANES dataset from 2011 to 2014 (<xref ref-type="bibr" rid="B25">25</xref>), with an initial inclusion of 19,931 participants. The NCHS Research Ethics Review Board approved all NHANES protocols of the survey (<xref ref-type="bibr" rid="B26">26</xref>). According to the NHANES database criteria, only individuals aged 60 years and above met the basic requirements for cognitive function testing. As shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, the study excluded participants with incomplete cognitive function test data (<italic>n</italic> = 16,997) and those with missing hemoglobin and red blood cell distribution width (RDW) data (<italic>n</italic> = 101). The remaining participants were classified into an obese population [Body mass index (BMI) &#x2265; 30 kg/m<sup>2</sup>, <italic>n</italic> = 1,055] and non-obese individuals (BMI &#x003C; 30 kg/m<sup>2</sup>, <italic>n</italic> = 1,778).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Flow chart of participants selection.</p></caption>
<alt-text>Flowchart showing the selection process from NHANES 2011-2014 participants (N=19931). Excluded: incomplete cognitive function data (N=16997) and incomplete hemoglobin or red blood cell distribution width data (N=101). Resulting groups: Obese individuals (N=1055), Non-obese individuals (N=1778).</alt-text>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-12-1625542-g001.tif"/>
</fig>
</sec>
<sec id="S2.SS2">
<title>2.2 HRR calculation</title>
<p>The HRR was calculated based on the ratio of hemoglobin to RDW (<xref ref-type="bibr" rid="B21">21</xref>).</p>
<sec id="S2.SS2.SSS1">
<title>2.2.1 Cognitive function assessment</title>
<p>Cognitive function was assessed using the following tests: the word learning and recall modules from the Consortium to Establish a Registry for Alzheimer&#x2019;s Disease (CERAD), the Animal Fluency Test (AFT), and the Digit Symbol Substitution Test (DSST) (<xref ref-type="bibr" rid="B27">27</xref>). Overall cognitive function was assessed using standardized total Z-scores [<italic>Z</italic> = (x&#x2212;&#x03BC;)/&#x03C3;], where x is the specific test score, &#x03BC; is the mean, and &#x03C3; is the standard deviation (<xref ref-type="bibr" rid="B28">28</xref>). Low cognitive function (LCF) was defined as the lowest quartile of the test scores (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B29">29</xref>), with Z-scores &#x2264; 2 indicating low risk of low cognitive function and Z-scores &#x003E; 2 indicating high risk (High Risk of LCF by Z) (<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B30">30</xref>).</p>
</sec>
<sec id="S2.SS2.SSS2">
<title>2.2.2 Covariates assessment</title>
<p>The covariates gathered for this study encompassed a range of demographic and health-related factors, including sex, age, race, education level, marital status, poverty-to-income ratio (PIR), BMI, smoking habits, alcohol use, and self-reported medical conditions such as diabetes, hypertension, cardiovascular diseases, and stroke.</p>
</sec>
</sec>
<sec id="S2.SS3">
<title>2.3 Statistical analysis</title>
<p>All analyses were performed using EmpowerStats and R software. Participants were grouped according to HRR quartiles, and <italic>t</italic>-tests and chi-square tests were used to assess continuous and categorical variables, respectively. Multiple regression models were used to evaluate the relationship between HRR, both as a continuous variable and by quartile, and cognitive function. A smooth curve fitting model was applied to explore the relationship between HRR and cognitive test scores, as well as low cognitive function. Additionally, subgroup analyses and interaction analyses were conducted based on stratified factors such as age and sex. A <italic>P</italic>-value of &#x003C;0.05 was considered statistically significant.</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>3 Results</title>
<sec id="S3.SS1">
<title>3.1 Baseline characteristics</title>
<p>1,055 obese individuals aged &#x2265;60 years were included, with a mean age of 68.65 &#x00B1; 6.45 years. Among them, 57.16% were females, and 47.01% were non-Hispanic White. The mean hemoglobin-to-red blood cell distribution width ratio (HRR) was 1.01 &#x00B1; 0.15. The mean scores for the CERAD, AFT, DSST tests, and the total Z-score were 26.06 &#x00B1; 6.22, 16.86 &#x00B1; 5.46, 46.11 &#x00B1; 17.03, and &#x2212;0.00 &#x00B1; 2.40, respectively.</p>
<p>According to the CERAD, AFT, and DSST test scores, the cutoff points for low cognitive function were 22, 13, and 34, respectively. Scores below these cutoff points were considered to indicate low cognitive function (LCF), categorized as LCF by CERAD, LCF by AFT, and LCF by DSST.</p>
<p>Baseline information based on HRR quartiles is presented in <xref ref-type="table" rid="T1">Table 1</xref>. <xref ref-type="table" rid="T1">Table 1</xref> presents the BMI characteristics of the obese population aged &#x2265;60 years stratified by HRR quartiles. The total obese population had a mean BMI of 35.38 &#x00B1; 5.33 kg/m<sup>2</sup>. Across HRR quartiles, BMI showed a decreasing trend: 36.63 &#x00B1; 6.63 kg/m<sup>2</sup> in Q1 (HRR range: 0.44&#x2013;0.92), 35.74 &#x00B1; 5.38 kg/m<sup>2</sup> in Q2 (HRR range: 0.92&#x2013;1.01), 34.84 &#x00B1; 4.29 kg/m<sup>2</sup> in Q3 (HRR range: 1.01&#x2013;1.10), and 34.32 &#x00B1; 4.44 kg/m<sup>2</sup> in Q4 (HRR range: 1.11&#x2013;1.43). A statistically significant difference in BMI among the HRR quartile groups was observed (<italic>P</italic> &#x003C; 0.001).</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Basic characteristics of participants by hemoglobin-to-red blood cell distribution width ratio among the obese population aged &#x2265;60 years.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left">Characteristics</td>
<td valign="top" align="center" colspan="5">Hemoglobin-to-red blood cell distribution width ratio (HRR)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center">Total</td>
<td valign="top" align="center">Q1 (0.44&#x2013;0.92)</td>
<td valign="top" align="center">Q2 (0.92&#x2013;1.01)</td>
<td valign="top" align="center">Q3 (1.01&#x2013;1.10)</td>
<td valign="top" align="center">Q4 (1.11&#x2013;1.43)</td>
<td valign="top" align="center"></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>N</bold></td>
<td valign="top" align="center">1055</td>
<td valign="top" align="center">264</td>
<td valign="top" align="center">261</td>
<td valign="top" align="center">266</td>
<td valign="top" align="center">264</td>
<td/>
</tr>
<tr>
<td valign="top" align="left"><bold>Age (years)</bold></td>
<td valign="top" align="center">68.65 &#x00B1; 6.45</td>
<td valign="top" align="center">69.30 &#x00B1; 6.34</td>
<td valign="top" align="center">68.47 &#x00B1; 6.47</td>
<td valign="top" align="center">68.45 &#x00B1; 6.78</td>
<td valign="top" align="center">68.38 &#x00B1; 6.16</td>
<td valign="top" align="center">0.307</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Sex, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Male</td>
<td valign="top" align="center">452 (42.84%)</td>
<td valign="top" align="center">69 (26.14%)</td>
<td valign="top" align="center">81 (31.03%)</td>
<td valign="top" align="center">119 (44.74%)</td>
<td valign="top" align="center">183 (69.32%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">Female</td>
<td valign="top" align="center">603 (57.16%)</td>
<td valign="top" align="center">195 (73.86%)</td>
<td valign="top" align="center">180 (68.97%)</td>
<td valign="top" align="center">147 (55.26%)</td>
<td valign="top" align="center">81 (30.68%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Race, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Mexican American</td>
<td valign="top" align="center">109 (10.33%)</td>
<td valign="top" align="center">22 (8.33%)</td>
<td valign="top" align="center">22 (8.43%)</td>
<td valign="top" align="center">31 (11.65%)</td>
<td valign="top" align="center">34 (12.88%)</td>
<td valign="top" align="center" rowspan="5"></td>
</tr>
<tr>
<td valign="top" align="left">Other Hispanic</td>
<td valign="top" align="center">104 (9.86%)</td>
<td valign="top" align="center">21 (7.95%)</td>
<td valign="top" align="center">34 (13.03%)</td>
<td valign="top" align="center">28 (10.53%)</td>
<td valign="top" align="center">21 (7.95%)</td>
</tr>
<tr>
<td valign="top" align="left">Non-Hispanic White</td>
<td valign="top" align="center">496 (47.01%)</td>
<td valign="top" align="center">86 (32.58%)</td>
<td valign="top" align="center">115 (44.06%)</td>
<td valign="top" align="center">135 (50.75%)</td>
<td valign="top" align="center">160 (60.61%)</td>
</tr>
<tr>
<td valign="top" align="left">Non-Hispanic Black</td>
<td valign="top" align="center">315 (29.86%)</td>
<td valign="top" align="center">128 (48.48%)</td>
<td valign="top" align="center">87 (33.33%)</td>
<td valign="top" align="center">61 (22.93%)</td>
<td valign="top" align="center">39 (14.77%)</td>
</tr>
<tr>
<td valign="top" align="left">Other races</td>
<td valign="top" align="center">31 (2.94%)</td>
<td valign="top" align="center">7 (2.65%)</td>
<td valign="top" align="center">3 (1.15%)</td>
<td valign="top" align="center">11 (4.14%)</td>
<td valign="top" align="center">10 (3.79%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Education level, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">0.007</td>
</tr>
<tr>
<td valign="top" align="left">Less than high school</td>
<td valign="top" align="center">277 (26.26%)</td>
<td valign="top" align="center">76 (28.79%)</td>
<td valign="top" align="center">71 (27.20%)</td>
<td valign="top" align="center">78 (29.32%)</td>
<td valign="top" align="center">52 (19.70%)</td>
<td valign="top" align="center" rowspan="3"></td>
</tr>
<tr>
<td valign="top" align="left">High school or GED</td>
<td valign="top" align="center">259 (24.55%)</td>
<td valign="top" align="center">74 (28.03%)</td>
<td valign="top" align="center">72 (27.59%)</td>
<td valign="top" align="center">53 (19.92%)</td>
<td valign="top" align="center">60 (22.73%)</td>
</tr>
<tr>
<td valign="top" align="left">Above high school</td>
<td valign="top" align="center">519 (49.19%)</td>
<td valign="top" align="center">114 (43.18%)</td>
<td valign="top" align="center">118 (45.21%)</td>
<td valign="top" align="center">135 (50.75%)</td>
<td valign="top" align="center">152 (57.58%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Marital status</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Married/living with a partner</td>
<td valign="top" align="center">576 (54.60%)</td>
<td valign="top" align="center">122 (46.21%)</td>
<td valign="top" align="center">133 (50.96%)</td>
<td valign="top" align="center">154 (57.89%)</td>
<td valign="top" align="center">167 (63.26%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">Living alone</td>
<td valign="top" align="center">479 (45.40%)</td>
<td valign="top" align="center">142 (53.79%)</td>
<td valign="top" align="center">128 (49.04%)</td>
<td valign="top" align="center">112 (42.11%)</td>
<td valign="top" align="center">97 (36.74%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Family PIR</bold></td>
<td valign="top" align="center">2.51 &#x00B1; 1.51</td>
<td valign="top" align="center">2.34 &#x00B1; 1.42</td>
<td valign="top" align="center">2.36 &#x00B1; 1.50</td>
<td valign="top" align="center">2.55 &#x00B1; 1.54</td>
<td valign="top" align="center">2.79 &#x00B1; 1.55</td>
<td valign="top" align="center">0.002</td>
</tr>
<tr>
<td valign="top" align="left"><bold>BMI (kg/m<sup>2</sup>)</bold></td>
<td valign="top" align="center">35.38 &#x00B1; 5.33</td>
<td valign="top" align="center">36.63 &#x00B1; 6.63</td>
<td valign="top" align="center">35.74 &#x00B1; 5.38</td>
<td valign="top" align="center">34.84 &#x00B1; 4.29</td>
<td valign="top" align="center">34.32 &#x00B1; 4.44</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Smoking habits, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">0.011</td>
</tr>
<tr>
<td valign="top" align="left">Ever</td>
<td valign="top" align="center">522 (49.48%)</td>
<td valign="top" align="center">121 (45.83%)</td>
<td valign="top" align="center">122 (46.74%)</td>
<td valign="top" align="center">125 (46.99%)</td>
<td valign="top" align="center">154 (58.33%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">Never</td>
<td valign="top" align="center">533 (50.52%)</td>
<td valign="top" align="center">143 (54.17%)</td>
<td valign="top" align="center">139 (53.26%)</td>
<td valign="top" align="center">141 (53.01%)</td>
<td valign="top" align="center">110 (41.67%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Alcohol use, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Yes</td>
<td valign="top" align="center">694 (65.78%)</td>
<td valign="top" align="center">149 (56.44%)</td>
<td valign="top" align="center">167 (63.98%)</td>
<td valign="top" align="center">180 (67.67%)</td>
<td valign="top" align="center">198 (75.00%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">No</td>
<td valign="top" align="center">361 (34.22%)</td>
<td valign="top" align="center">115 (43.56%)</td>
<td valign="top" align="center">94 (36.02%)</td>
<td valign="top" align="center">86 (32.33%)</td>
<td valign="top" align="center">66 (25.00%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Diabetes, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Yes</td>
<td valign="top" align="center">349 (33.08%)</td>
<td valign="top" align="center">117 (44.32%)</td>
<td valign="top" align="center">90 (34.48%)</td>
<td valign="top" align="center">86 (32.33%)</td>
<td valign="top" align="center">56 (21.21%)</td>
<td valign="top" align="center" rowspan="3"></td>
</tr>
<tr>
<td valign="top" align="left">No</td>
<td valign="top" align="center">647 (61.33%)</td>
<td valign="top" align="center">130 (49.24%)</td>
<td valign="top" align="center">157 (60.15%)</td>
<td valign="top" align="center">164 (61.65%)</td>
<td valign="top" align="center">196 (74.24%)</td>
</tr>
<tr>
<td valign="top" align="left">Borderline</td>
<td valign="top" align="center">59 (5.59%)</td>
<td valign="top" align="center">17 (6.44%)</td>
<td valign="top" align="center">14 (5.36%)</td>
<td valign="top" align="center">16 (6.02%)</td>
<td valign="top" align="center">12 (4.55%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Hypertension, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Yes</td>
<td valign="top" align="center">768 (72.80%)</td>
<td valign="top" align="center">217 (82.20%)</td>
<td valign="top" align="center">191 (73.18%)</td>
<td valign="top" align="center">188 (70.68%)</td>
<td valign="top" align="center">172 (65.15%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">No</td>
<td valign="top" align="center">287 (27.20%)</td>
<td valign="top" align="center">47 (17.80%)</td>
<td valign="top" align="center">70 (26.82%)</td>
<td valign="top" align="center">78 (29.32%)</td>
<td valign="top" align="center">92 (34.85%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Heart failure, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">0.002</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Yes</bold></td>
<td valign="top" align="center">102 (9.67%)</td>
<td valign="top" align="center">40 (15.15%)</td>
<td valign="top" align="center">26 (9.96%)</td>
<td valign="top" align="center">21 (7.89%)</td>
<td valign="top" align="center">15 (5.68%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left"><bold>No</bold></td>
<td valign="top" align="center">953 (90.33%)</td>
<td valign="top" align="center">224 (84.85%)</td>
<td valign="top" align="center">235 (90.04%)</td>
<td valign="top" align="center">245 (92.11%)</td>
<td valign="top" align="center">249 (94.32%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Coronary heart disease, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">0.883</td>
</tr>
<tr>
<td valign="top" align="left">Yes</td>
<td valign="top" align="center">100 (9.48%)</td>
<td valign="top" align="center">25 (9.47%)</td>
<td valign="top" align="center">27 (10.34%)</td>
<td valign="top" align="center">26 (9.77%)</td>
<td valign="top" align="center">22 (8.33%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">No</td>
<td valign="top" align="center">955 (90.52%)</td>
<td valign="top" align="center">239 (90.53%)</td>
<td valign="top" align="center">234 (89.66%)</td>
<td valign="top" align="center">240 (90.23%)</td>
<td valign="top" align="center">242 (91.67%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Stroke, (%)</bold></td>
<td valign="top" colspan="5"/>
<td valign="top" align="center">0.027</td>
</tr>
<tr>
<td valign="top" align="left">Yes</td>
<td valign="top" align="center">78 (7.39%)</td>
<td valign="top" align="center">30 (11.36%)</td>
<td valign="top" align="center">19 (7.28%)</td>
<td valign="top" align="center">16 (6.02%)</td>
<td valign="top" align="center">13 (4.92%)</td>
<td valign="top" align="center" rowspan="2"></td>
</tr>
<tr>
<td valign="top" align="left">No</td>
<td valign="top" align="center">977 (92.61%)</td>
<td valign="top" align="center">234 (88.64%)</td>
<td valign="top" align="center">242 (92.72%)</td>
<td valign="top" align="center">250 (93.98%)</td>
<td valign="top" align="center">251 (95.08%)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>HB</bold></td>
<td valign="top" align="center">13.72 &#x00B1; 1.46</td>
<td valign="top" align="center">12.11 &#x00B1; 0.99</td>
<td valign="top" align="center">13.34 &#x00B1; 0.83</td>
<td valign="top" align="center">14.11 &#x00B1; 0.76</td>
<td valign="top" align="center">15.31 &#x00B1; 0.91</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><bold>RDW</bold></td>
<td valign="top" align="center">13.74 &#x00B1; 1.18</td>
<td valign="top" align="center">14.94 &#x00B1; 1.30</td>
<td valign="top" align="center">13.76 &#x00B1; 0.83</td>
<td valign="top" align="center">13.36 &#x00B1; 0.68</td>
<td valign="top" align="center">12.92 &#x00B1; 0.68</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><bold>HRR</bold></td>
<td valign="top" align="center">1.01 &#x00B1; 0.15</td>
<td valign="top" align="center">0.82 &#x00B1; 0.08</td>
<td valign="top" align="center">0.97 &#x00B1; 0.03</td>
<td valign="top" align="center">1.06 &#x00B1; 0.03</td>
<td valign="top" align="center">1.19 &#x00B1; 0.06</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><bold>CERAD</bold></td>
<td valign="top" align="center">26.06 &#x00B1; 6.22</td>
<td valign="top" align="center">25.42 &#x00B1; 6.14</td>
<td valign="top" align="center">26.86 &#x00B1; 6.04</td>
<td valign="top" align="center">26.26 &#x00B1; 6.28</td>
<td valign="top" align="center">25.70 &#x00B1; 6.36</td>
<td valign="top" align="center">0.04</td>
</tr>
<tr>
<td valign="top" align="left"><bold>AFT</bold></td>
<td valign="top" align="center">16.86 &#x00B1; 5.46</td>
<td valign="top" align="center">14.89 &#x00B1; 4.90</td>
<td valign="top" align="center">17.35 &#x00B1; 5.56</td>
<td valign="top" align="center">17.38 &#x00B1; 5.42</td>
<td valign="top" align="center">17.84 &#x00B1; 5.47</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><bold>DSST</bold></td>
<td valign="top" align="center">46.11 &#x00B1; 17.03</td>
<td valign="top" align="center">41.32 &#x00B1; 16.94</td>
<td valign="top" align="center">46.37 &#x00B1; 15.64</td>
<td valign="top" align="center">47.01 &#x00B1; 17.10</td>
<td valign="top" align="center">49.73 &#x00B1; 17.35</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Total z score</bold></td>
<td valign="top" align="center">&#x2212;0.00 &#x00B1; 2.40</td>
<td valign="top" align="center">&#x2212;0.75 &#x00B1; 2.29</td>
<td valign="top" align="center">0.23 &#x00B1; 2.35</td>
<td valign="top" align="center">0.18 &#x00B1; 2.38</td>
<td valign="top" align="center">0.33 &#x00B1; 2.43</td>
<td valign="top" align="center">&#x003C;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Mean &#x00B1; SD for continuous variables: the <italic>P</italic>-value was calculated by the weighted linear regression model; (%) for categorical variables: the <italic>P</italic>-value was calculated by the weighted chi-square test. N, number; PIR, the ratio of income to poverty, BMI, body mass index; Q, quartile; HRR, hemoglobin-to-red blood cell distribution width ratio; CERAD, the Consortium to Establish a Registry for Alzheimer&#x2019;s Disease test; AFT, the Animal Fluency Test; DSST, the Digit Symbol Substitution Test.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S3.SS2">
<title>3.2 Association between HRR and cognitive function</title>
<p><xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="table" rid="T3">Table 3</xref> collectively illustrate the association between the HRR and cognitive function, including cognitive test scores and low cognitive function, among obese individuals aged &#x2265;60 years across three regression models (Model 1: unadjusted; Model 2: adjusted for age, sex, and race; Model 3: fully adjusted for demographic, lifestyle, and comorbidity factors).</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Association between HRR and cognitive test scores among the obese population.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="center">HRR</td>
<td valign="top" align="center">CERAD</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">AFT</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">DSST</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">Total Z score</td>
<td valign="top" align="center"></td>
</tr>
<tr>
<td valign="top" align="center"></td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Model 1</bold></td>
</tr>
<tr>
<td valign="top" align="center">Continuous</td>
<td valign="top" align="center">2.55 (&#x2212;1.02, 6.12)</td>
<td valign="top" align="center">0.1713</td>
<td valign="top" align="center">6.85 (3.53, 10.17)</td>
<td valign="top" align="center">0.0003</td>
<td valign="top" align="center">26.54 (17.26, 35.81)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
<td valign="top" align="center">3.22 (2.02, 4.42)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Categories</bold></td>
</tr>
<tr>
<td valign="top" align="center">Quartile 1</td>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">Quartile 2</td>
<td valign="top" align="center">1.74 (0.01, 3.46)</td>
<td valign="top" align="center">0.0583</td>
<td valign="top" align="center">2.67 (1.21, 4.12)</td>
<td valign="top" align="center">0.0012</td>
<td valign="top" align="center">5.07 (1.17, 8.97)</td>
<td valign="top" align="center">0.0163</td>
<td valign="top" align="center">1.07 (0.41, 1.72)</td>
<td valign="top" align="center">0.0034</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 3</td>
<td valign="top" align="center">1.29 (&#x2212;0.17, 2.75)</td>
<td valign="top" align="center">0.0947</td>
<td valign="top" align="center">2.69 (1.38, 4.01)</td>
<td valign="top" align="center">0.0004</td>
<td valign="top" align="center">6.63 (2.90, 10.37)</td>
<td valign="top" align="center">0.0016</td>
<td valign="top" align="center">1.09 (0.55, 1.63)</td>
<td valign="top" align="center">0.0005</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 4</td>
<td valign="top" align="center">1.38 (&#x2212;0.32, 3.07)</td>
<td valign="top" align="center">0.1222</td>
<td valign="top" align="center">3.06 (1.80, 4.32)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
<td valign="top" align="center">10.08 (5.83, 14.33)</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">1.37 (0.80, 1.95)</td>
<td valign="top" align="center">0.0001</td>
</tr>
<tr>
<td valign="top" align="center">P for trend</td>
<td/>
<td valign="top" align="center">0.2412</td>
<td/>
<td valign="top" align="center">0.0002</td>
<td/>
<td valign="top" align="center">&#x003C;0.0001</td>
<td/>
<td valign="top" align="center">0.0001</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Model 2</bold></td>
</tr>
<tr>
<td valign="top" align="center">Continuous</td>
<td valign="top" align="center">3.28 (&#x2212;0.76, 7.31)</td>
<td valign="top" align="center">0.1244</td>
<td valign="top" align="center">3.54 (&#x2212;0.27, 7.35)</td>
<td valign="top" align="center">0.0806</td>
<td valign="top" align="center">21.75 (14.74, 28.76)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
<td valign="top" align="center">2.45 (1.19, 3.71)</td>
<td valign="top" align="center">0.0008</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Categories</bold></td>
</tr>
<tr>
<td valign="top" align="center">Quartile 1</td>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">Quartile 2</td>
<td valign="top" align="center">1.68 (0.06, 3.30)</td>
<td valign="top" align="center">0.0535</td>
<td valign="top" align="center">2.07 (0.70, 3.43)</td>
<td valign="top" align="center">0.0068</td>
<td valign="top" align="center">3.31 (&#x2212;0.18, 6.81)</td>
<td valign="top" align="center">0.0755</td>
<td valign="top" align="center">0.84 (0.26, 1.42)</td>
<td valign="top" align="center">0.0092</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 3</td>
<td valign="top" align="center">1.31 (&#x2212;0.17, 2.80)</td>
<td valign="top" align="center">0.0952</td>
<td valign="top" align="center">1.70 (0.47, 2.94)</td>
<td valign="top" align="center">0.0126</td>
<td valign="top" align="center">4.38 (0.94, 7.81)</td>
<td valign="top" align="center">0.0201</td>
<td valign="top" align="center">0.78 (0.26, 1.30)</td>
<td valign="top" align="center">0.0076</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 4</td>
<td valign="top" align="center">1.71 (0.00, 3.42)</td>
<td valign="top" align="center">0.0620</td>
<td valign="top" align="center">1.80 (0.34, 3.27)</td>
<td valign="top" align="center">0.0243</td>
<td valign="top" align="center">8.17 (4.88, 11.45)</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">1.08 (0.54, 1.63)</td>
<td valign="top" align="center">0.0007</td>
</tr>
<tr>
<td valign="top" align="center">P for trend</td>
<td/>
<td valign="top" align="center">0.1318</td>
<td/>
<td valign="top" align="center">0.0733</td>
<td/>
<td valign="top" align="center">&#x003C;0.0001</td>
<td/>
<td valign="top" align="center">0.0014</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Model 3</bold></td>
</tr>
<tr>
<td valign="top" align="center">Continuous</td>
<td valign="top" align="center">1.75 (&#x2212;2.53, 6.03)</td>
<td valign="top" align="center">0.4413</td>
<td valign="top" align="center">2.21 (&#x2212;0.69, 5.10)</td>
<td valign="top" align="center">0.1664</td>
<td valign="top" align="center">14.45 (7.55, 21.35)</td>
<td valign="top" align="center">0.0021</td>
<td valign="top" align="center">1.53 (0.40, 2.67)</td>
<td valign="top" align="center">0.0240</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Categories</bold></td>
</tr>
<tr>
<td valign="top" align="center">Quartile 1</td>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">Quartile 2</td>
<td valign="top" align="center">1.61 (0.11, 3.10)</td>
<td valign="top" align="center">0.0679</td>
<td valign="top" align="center">2.25 (1.00, 3.50)</td>
<td valign="top" align="center">0.0078</td>
<td valign="top" align="center">3.56 (0.71, 6.40)</td>
<td valign="top" align="center">0.0402</td>
<td valign="top" align="center">0.88 (0.35, 1.41)</td>
<td valign="top" align="center">0.0112</td>
</tr>
<tr>
<td valign="top" align="center">Quartile3</td>
<td valign="top" align="center">1.10 (&#x2212;0.29, 2.49)</td>
<td valign="top" align="center">0.1597</td>
<td valign="top" align="center">1.56 (0.48, 2.64)</td>
<td valign="top" align="center">0.0223</td>
<td valign="top" align="center">3.37 (0.56, 6.19)</td>
<td valign="top" align="center">0.0469</td>
<td valign="top" align="center">0.66 (0.22, 1.10)</td>
<td valign="top" align="center">0.0180</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 4</td>
<td valign="top" align="center">1.19 (&#x2212;0.43, 2.81)</td>
<td valign="top" align="center">0.1889</td>
<td valign="top" align="center">1.37 (0.27, 2.46)</td>
<td valign="top" align="center">0.0403</td>
<td valign="top" align="center">5.75 (2.69, 8.81)</td>
<td valign="top" align="center">0.0062</td>
<td valign="top" align="center">0.78 (0.32, 1.24)</td>
<td valign="top" align="center">0.0104</td>
</tr>
<tr>
<td valign="top" align="center">P for trend</td>
<td/>
<td valign="top" align="center">0.3671</td>
<td/>
<td valign="top" align="center">0.1625</td>
<td/>
<td valign="top" align="center">0.0055</td>
<td/>
<td valign="top" align="center">0.0215</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Model 1: no covariates were adjusted. Model 2: age, sex, and race were adjusted. Model 3: age, sex, race, education level, marital status, poverty-to-income ratio (PIR), body mass index (BMI), smoking habits, alcohol use, diabetes, hypertension, cardiovascular diseases, and stroke. Q, quartile; HRR, hemoglobin-to-red blood cell distribution width ratio; CERAD, the Consortium to Establish a Registry for Alzheimer&#x2019;s Disease test; AFT, the Animal Fluency Test; DSST, the Digit Symbol Substitution Test.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Association between HRR and low cognitive function among the obese population.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="center">HRR</td>
<td valign="top" align="center">LCF by CERAD</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">LCF by AFT</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">LCF by DSST</td>
<td valign="top" align="center"></td>
<td valign="top" align="left" colspan="2">High risk of LCF by Z</td>
</tr>
<tr>
<td valign="top" align="center"></td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Model 1</bold></td>
</tr>
<tr>
<td valign="top" align="center">Continuous</td>
<td valign="top" align="center">0.28 (0.11, 0.73)</td>
<td valign="top" align="center">0.0137</td>
<td valign="top" align="center">0.07 (0.01, 0.38)</td>
<td valign="top" align="center">0.0046</td>
<td valign="top" align="center">0.02 (0.01, 0.06)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
<td valign="top" align="center">5.26 (1.63, 16.97)</td>
<td valign="top" align="center">0.0093</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Categories</bold></td>
</tr>
<tr>
<td valign="top" align="center">Quartile 1</td>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">Quartile 2</td>
<td valign="top" align="center">0.68 (0.38, 1.23)</td>
<td valign="top" align="center">0.2153</td>
<td valign="top" align="center">0.44 (0.26, 0.74)</td>
<td valign="top" align="center">0.0048</td>
<td valign="top" align="center">0.48 (0.30, 0.78)</td>
<td valign="top" align="center">0.0057</td>
<td valign="top" align="center">2.18 (0.99, 4.78)</td>
<td valign="top" align="center">0.0616</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 3</td>
<td valign="top" align="center">0.58 (0.37, 0.91)</td>
<td valign="top" align="center">0.0236</td>
<td valign="top" align="center">0.44 (0.29, 0.67)</td>
<td valign="top" align="center">0.0007</td>
<td valign="top" align="center">0.43 (0.25, 0.73)</td>
<td valign="top" align="center">0.0047</td>
<td valign="top" align="center">2.08 (1.00, 4.33)</td>
<td valign="top" align="center">0.0595</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 4</td>
<td valign="top" align="center">0.55 (0.35, 0.89)</td>
<td valign="top" align="center">0.0210</td>
<td valign="top" align="center">0.34 (0.18, 0.63)</td>
<td valign="top" align="center">0.0018</td>
<td valign="top" align="center">0.23 (0.16, 0.35)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
<td valign="top" align="center">2.11 (1.10, 4.06)</td>
<td valign="top" align="center">0.0335</td>
</tr>
<tr>
<td valign="top" align="center">P for trend</td>
<td/>
<td valign="top" align="center">0.0289</td>
<td/>
<td valign="top" align="center">0.0037</td>
<td/>
<td valign="top" align="center">&#x003C;0.0001</td>
<td/>
<td valign="top" align="center">0.0342</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Model 2</bold></td>
</tr>
<tr>
<td valign="top" align="center">Continuous</td>
<td valign="top" align="center">0.22 (0.08, 0.66)</td>
<td valign="top" align="center">0.0115</td>
<td valign="top" align="center">0.17 (0.03, 1.03)</td>
<td valign="top" align="center">0.0654</td>
<td valign="top" align="center">0.03 (0.01, 0.13)</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">3.15 (0.68, 14.71)</td>
<td valign="top" align="center">0.1563</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Categories</bold></td>
</tr>
<tr>
<td valign="top" align="center">Quartile 1</td>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">Quartile 2</td>
<td valign="top" align="center">0.66 (0.34, 1.28)</td>
<td valign="top" align="center">0.2310</td>
<td valign="top" align="center">0.51 (0.27, 0.95)</td>
<td valign="top" align="center">0.0458</td>
<td valign="top" align="center">0.53 (0.28, 1.00)</td>
<td valign="top" align="center">0.0628</td>
<td valign="top" align="center">2.02 (0.88, 4.61)</td>
<td valign="top" align="center">0.1099</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 3</td>
<td valign="top" align="center">0.55 (0.34, 0.89)</td>
<td valign="top" align="center">0.0243</td>
<td valign="top" align="center">0.57 (0.37, 0.89)</td>
<td valign="top" align="center">0.0215</td>
<td valign="top" align="center">0.50 (0.26, 0.96)</td>
<td valign="top" align="center">0.0485</td>
<td valign="top" align="center">1.72 (0.77, 3.82)</td>
<td valign="top" align="center">0.1986</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 4</td>
<td valign="top" align="center">0.47 (0.27, 0.82)</td>
<td valign="top" align="center">0.0134</td>
<td valign="top" align="center">0.48 (0.24, 0.96)</td>
<td valign="top" align="center">0.0508</td>
<td valign="top" align="center">0.26 (0.14, 0.46)</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">1.72 (0.84, 3.52)</td>
<td valign="top" align="center">0.1509</td>
</tr>
<tr>
<td valign="top" align="center">P for trend</td>
<td/>
<td valign="top" align="center">0.0202</td>
<td/>
<td valign="top" align="center">0.0704</td>
<td/>
<td valign="top" align="center">0.0007</td>
<td/>
<td valign="top" align="center">0.2708</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Model 3</bold></td>
</tr>
<tr>
<td valign="top" align="center">Continuous</td>
<td valign="top" align="center">0.43 (0.13, 1.39)</td>
<td valign="top" align="center">0.1887</td>
<td valign="top" align="center">0.22 (0.04, 1.22)</td>
<td valign="top" align="center">0.1148</td>
<td valign="top" align="center">0.04 (0.01, 0.23)</td>
<td valign="top" align="center">0.0043</td>
<td valign="top" align="center">1.48 (0.28, 7.75)</td>
<td valign="top" align="center">0.6540</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Categories</bold></td>
</tr>
<tr>
<td valign="top" align="center">Quartile 1</td>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
<td valign="top" align="center">Reference</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">Quartile 2</td>
<td valign="top" align="center">0.66 (0.34, 1.29)</td>
<td valign="top" align="center">0.2592</td>
<td valign="top" align="center">0.48 (0.26, 0.91)</td>
<td valign="top" align="center">0.0531</td>
<td valign="top" align="center">0.48 (0.22, 1.06)</td>
<td valign="top" align="center">0.1057</td>
<td valign="top" align="center">2.22 (0.95, 5.20)</td>
<td valign="top" align="center">0.1028</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 3</td>
<td valign="top" align="center">0.56 (0.33, 0.94)</td>
<td valign="top" align="center">0.0600</td>
<td valign="top" align="center">0.59 (0.39, 0.88)</td>
<td valign="top" align="center">0.0323</td>
<td valign="top" align="center">0.45 (0.22, 0.89)</td>
<td valign="top" align="center">0.0520</td>
<td valign="top" align="center">1.54 (0.71, 3.35)</td>
<td valign="top" align="center">0.3092</td>
</tr>
<tr>
<td valign="top" align="center">Quartile 4</td>
<td valign="top" align="center">0.57 (0.33, 0.98)</td>
<td valign="top" align="center">0.0761</td>
<td valign="top" align="center">0.52 (0.28, 0.98)</td>
<td valign="top" align="center">0.0766</td>
<td valign="top" align="center">0.29 (0.14, 0.58)</td>
<td valign="top" align="center">0.0081</td>
<td valign="top" align="center">1.35 (0.63, 2.87)</td>
<td valign="top" align="center">0.4579</td>
</tr>
<tr>
<td valign="top" align="center">P for trend</td>
<td/>
<td valign="top" align="center">0.0813</td>
<td/>
<td valign="top" align="center">0.1162</td>
<td/>
<td valign="top" align="center">0.0107</td>
<td/>
<td valign="top" align="center">0.9736</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Model 1: no covariates were adjusted. Model 2: age, sex, and race were adjusted. Model 3: age, sex, race, education level, marital status, poverty-to-income ratio (PIR), body mass index (BMI), smoking habits, alcohol use, diabetes, hypertension, cardiovascular diseases, and stroke. Q, quartile; HRR, hemoglobin-to-red blood cell distribution width ratio; CERAD, the Consortium to Establish a Registry for Alzheimer&#x2019;s Disease test; AFT, the Animal Fluency Test; DSST, the Digit Symbol Substitution Test. LCF, low cognitive function.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>For the CERAD test, <xref ref-type="table" rid="T2">Table 2</xref> showed no significant association between HRR and CERAD scores in any model (all <italic>P</italic> &#x003E; 0.05). Consistently, <xref ref-type="table" rid="T3">Table 3</xref> revealed that the initial inverse association between HRR and CERAD-defined LCF in Model 1 (continuous HRR: OR = 0.28, 95% CI, 0.11&#x2013;0.73, <italic>P</italic> = 0.0137) and Model 2 (continuous HRR: OR = 0.22, 95% CI, 0.08&#x2013;0.66, <italic>P</italic> = 0.0115) weakened in Model 3, with no significant correlation (continuous HRR: OR = 0.43, 95% CI, 0.13&#x2013;1.39, <italic>P</italic> = 0.1887; P for trend = 0.0813).</p>
<p>Regarding the AFT, <xref ref-type="table" rid="T2">Table 2</xref> indicated a significant positive correlation between HRR and AFT scores in Model 1 (continuous HRR: &#x03B2; = 6.85, 95% CI, 3.53&#x2013;10.17, <italic>P</italic> = 0.0003), which weakened after adjustment, becoming non-significant in Model 3 (&#x03B2; = 2.21, 95% CI, &#x2212;0.69 to 5.10, <italic>P</italic> = 0.1664). Parallelly, <xref ref-type="table" rid="T3">Table 3</xref> showed that the initial inverse association between HRR and AFT-defined LCF in Model 1 (continuous HRR: OR = 0.07, 95% CI, 0.01&#x2013;0.38, <italic>P</italic> = 0.0046) was attenuated in Model 3, with no significant association (continuous HRR: OR = 0.22, 95% CI, 0.04&#x2013;1.22, <italic>P</italic> = 0.1148; P for trend = 0.1162).</p>
<p>For the DSST, both tables demonstrated consistent and robust associations. <xref ref-type="table" rid="T2">Table 2</xref> showed a significant positive correlation between HRR and DSST scores in Model 3 (continuous HRR: &#x03B2; = 14.45, 95% CI, 7.55&#x2013;21.35, <italic>P</italic> = 0.0021; quartiles 2&#x2013;4 vs. quartile 1: all <italic>P</italic> &#x003C; 0.05; P for trend = 0.0055). Correspondingly, <xref ref-type="table" rid="T3">Table 3</xref> revealed a significant inverse association between HRR and DSST-defined LCF in Model 3 (continuous HRR: OR = 0.04, 95% CI, 0.01&#x2013;0.23, <italic>P</italic> = 0.0043; quartile 4 vs. quartile 1: OR = 0.29, 95% CI, 0.14&#x2013;0.58, <italic>P</italic> = 0.0081; P for trend = 0.0107).</p>
<p>With respect to total cognitive Z-scores, <xref ref-type="table" rid="T2">Table 2</xref> found a significant positive association with HRR in Model 3 (continuous HRR: &#x03B2; = 1.53, 95% CI, 0.40&#x2013;2.67, <italic>P</italic> = 0.0240; quartiles 2&#x2013;4 vs. quartile 1: all <italic>P</italic> &#x003C; 0.05; P for trend = 0.0215). In contrast, <xref ref-type="table" rid="T3">Table 3</xref> showed that the initial positive association between HRR and high risk of LCF by Z in Model 1 (continuous HRR: OR = 5.26, 95% CI, 1.63&#x2013;16.97, <italic>P</italic> = 0.0093) was attenuated in Model 3, with no significant correlation (continuous HRR: OR = 1.48, 95% CI, 0.28&#x2013;7.75, <italic>P</italic> = 0.6540; P for trend = 0.9736).</p>
<p>Overall, these results indicate that HRR is stably associated with DSST-related cognitive performance in obese population, showing a positive correlation with DSST scores and an inverse correlation with DSST-defined LCF in fully adjusted models, while its associations with CERAD, AFT, and high risk of LCF by total cognitive Z scores are not robust after comprehensive covariate adjustment.</p>
<p>Incidentally, We have conducted an analysis of the association between HRR and cognition in the non-obese (BMI &#x003C; 30 kg/m<sup>2</sup>) populations. In Model 3, adjusted for covariates, there was no significant association between HRR and cognition in the non-obese population. Specifically, no significant correlation was found between HRR and CERAD, AFT, DSST, or total Z score. The results were as follows: HRR and CERAD (&#x03B2; = &#x2212;1.95; 95% CI, &#x2212;4.46 to 0.55), HRR and AFT (&#x03B2; = 1.16; 95% CI, &#x2212;0.24 to 2.56), HRR and DSST (&#x03B2; = 3.30; 95% CI, &#x2212;2.22 to 8.83), HRR and total Z score (&#x03B2; = 0.10; 95% CI, &#x2212;0.57 to 0.76). Additionally, there was no significant association between HRR and LCF or high-risk groups. The specific results were: HRR and LCF by CERAD (OR = 1.69; 95% CI, 0.62&#x2013;4.59), HRR and LCF by AFT (OR = 0.83; 95% CI, 0.34&#x2013;2.03), HRR and LCF by DSST (OR = 0.40; 95% CI, 0.05&#x2013;3.08), HRR and High Risk by Z (OR = 0.71; 95% CI, 0.22&#x2013;2.32).</p>
<p>The smooth curve for HRR and CERAD scores showed a turning point at HRR = 0.94 (<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="table" rid="T4">Table 4</xref>). To the left of this point, HRR was positively correlated with CERAD scores (&#x03B2; = 6.43; 95% CI, 0.79&#x2013;12.06; <italic>P</italic> = 0.0256). The smooth curve for HRR and AFT scores showed a turning point at HRR = 1.01 (<xref ref-type="fig" rid="F2">Figure 2B</xref> and <xref ref-type="table" rid="T4">Table 4</xref>). To the left of this point, HRR was positively correlated with AFT scores (&#x03B2; = 6.11; 95% CI, 2.40&#x2013;9.82; <italic>P</italic> = 0.0013). The smooth curve for HRR and DSST scores showed a turning point at HRR = 0.75 (<xref ref-type="fig" rid="F2">Figure 2C</xref> and <xref ref-type="table" rid="T4">Table 4</xref>). To the right of this point, HRR was positively correlated with DSST scores (&#x03B2; = 13.22; 95% CI, 6.80&#x2013;19.63; <italic>P</italic> &#x003C; 0.0001). HRR showed a linear relationship with total Z-scores (LLR = 0.056) and was positively correlated with total Z-scores (&#x03B2; = 1.16; 95% CI, 0.28&#x2013;2.05; <italic>P</italic> = 0.0101) (<xref ref-type="fig" rid="F2">Figure 2D</xref> and <xref ref-type="table" rid="T4">Table 4</xref>). For low cognitive function: HRR did not show relationship with LCF by CERAD (<xref ref-type="fig" rid="F2">Figure 2E</xref> and <xref ref-type="table" rid="T4">Table 4</xref>). HRR showed a linear relationship with LCF by AFT (LLR = 0.5), and in the LCF by AFT group, HRR was negatively correlated with the occurrence of low cognitive function (OR = 0.18; 95% CI, 0.06&#x2013;0.57; <italic>P</italic> = 0.0035) (<xref ref-type="fig" rid="F2">Figure 2F</xref> and <xref ref-type="table" rid="T5">Table 5</xref>). HRR showed a linear relationship with LCF by DSST (LLR = 0.324), and in the LCF by DSST group, HRR was negatively correlated with the occurrence of low cognitive function (OR = 0.17; 95% CI, 0.05&#x2013;0.67; <italic>P</italic> = 0.0109) (<xref ref-type="fig" rid="F2">Figure 2G</xref> and <xref ref-type="table" rid="T5">Table 5</xref>). In the High Risk of LCF by Z group, the smooth curve showed a positive correlation between HRR and high-risk low cognitive function, with a turning point at HRR = 0.94 (OR = 55.53; 95% CI, 1.47&#x2013;2097.52; <italic>P</italic> = 0.0302) (<xref ref-type="fig" rid="F2">Figure 2H</xref> and <xref ref-type="table" rid="T5">Table 5</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>The non-linear associations between HRR and cognitive function. The solid red line represents the smooth curve fit between variables. Blue bands represent the 95% of confidence interval from the fit. <bold>(A)</bold> HRR and CERAD score; <bold>(B)</bold> HRR and AFT score; <bold>(C)</bold> HRR and DSST score; <bold>(D)</bold> HRR and total Z score; <bold>(E)</bold> HRR and LCF by CERAD; <bold>(F)</bold> HRR and LCF by AFT; <bold>(G)</bold> HRR and LCF by DSST; <bold>(H)</bold> HRR and High Risk of LCF by Z.</p></caption>
<alt-text>Four line graphs labeled A to D, each showing a relationship between HRR and different cognitive test scores: CERAD, AFT, DSST, and Total Z Score. Each graph includes a central red trend line with dotted lines indicating confidence intervals. HRR values on the x-axis range from 0.6 to 1.4, while the y-axes vary per graph according to the test score or Z Score. Four line graphs labeled E, F, G, and H showing the relationship between HRR and LCF. Graph E shows a slight upward trend. Graphs F and G show a downward trend. Graph H presents a curve with an upward trend after a dip. Each graph includes a red line for data and blue dotted lines for confidence intervals, with hash marks on the x-axis indicating data points.</alt-text>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-12-1625542-g002.tif"/>
</fig>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>Threshold effect analysis of HRR on cognitive test scores using a two-segment linear regression model among the obese population.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="center"></td>
<td valign="top" align="center" colspan="2">CERAD</td>
<td valign="top" align="center" colspan="2">AFT</td>
<td valign="top" align="center" colspan="2">DSST</td>
<td valign="top" align="center" colspan="2">Total Z score</td>
</tr>
<tr>
<td valign="top" align="center"></td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">&#x03B2; (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">Linear effect model</td>
<td valign="top" align="center">0.81 (&#x2212;1.86, 3.48)</td>
<td valign="top" align="center">0.5509</td>
<td valign="top" align="center">2.52 (0.20, 4.84)</td>
<td valign="top" align="center">0.0333</td>
<td valign="top" align="center">9.70 (3.91, 15.49)</td>
<td valign="top" align="center">0.0011</td>
<td valign="top" align="center">1.16 (0.28, 2.05)</td>
<td valign="top" align="center">0.0101</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Non-linear model</bold></td>
</tr>
<tr>
<td valign="top" align="center">Inflection point (K)</td>
<td valign="top" align="center">0.94</td>
<td/>
<td valign="top" align="center">1.01</td>
<td/>
<td valign="top" align="center">0.75</td>
<td/>
<td valign="top" align="center">1.00</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">&#x003C;K-segment effect</td>
<td valign="top" align="center">6.43 (0.79, 12.06)</td>
<td valign="top" align="center">0.0256</td>
<td valign="top" align="center">6.11 (2.40, 9.82)</td>
<td valign="top" align="center">0.0013</td>
<td valign="top" align="center">&#x2212;39.09 (&#x2212;78.29, 0.11)</td>
<td valign="top" align="center">0.0509</td>
<td valign="top" align="center">2.29 (0.82, 3.76)</td>
<td valign="top" align="center">0.0023</td>
</tr>
<tr>
<td valign="top" align="center">&#x003E;K-segment effect</td>
<td valign="top" align="center">&#x2212;2.73 (&#x2212;6.85, 1.38)</td>
<td valign="top" align="center">0.1934</td>
<td valign="top" align="center">&#x2212;2.14 (&#x2212;6.58, 2.29)</td>
<td valign="top" align="center">0.3433</td>
<td valign="top" align="center">13.22 (6.80, 19.63)</td>
<td valign="top" align="center">&#x003C;0.0001</td>
<td valign="top" align="center">&#x2212;0.16 (&#x2212;1.79, 1.47)</td>
<td valign="top" align="center">0.8500</td>
</tr>
<tr>
<td valign="top" align="center">Log likelihood ratio</td>
<td valign="top" align="center">0.025</td>
<td/>
<td valign="top" align="center">0.014</td>
<td/>
<td valign="top" align="center">0.013</td>
<td/>
<td valign="top" align="center">0.056</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>HRR, hemoglobin-to-red blood cell distribution width ratio; CERAD, the Consortium to Establish a Registry for Alzheimer&#x2019;s Disease test; AFT, the Animal Fluency Test; DSST, the Digit Symbol Substitution Test.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T5">
<label>TABLE 5</label>
<caption><p>Threshold effect analysis of HRR on low cognitive function using a two-segment linear regression model among the obese population.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="center"></td>
<td valign="top" align="center" colspan="2">LCF by CERAD</td>
<td valign="top" align="center" colspan="2">LCF by AFT</td>
<td valign="top" align="center" colspan="2">LCF by DSST</td>
<td valign="top" align="center" colspan="2">High risk of LCF by Z</td>
</tr>
<tr>
<td valign="top" align="center"></td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">OR (95% CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">Linear effect model</td>
<td valign="top" align="center">1.10 (0.34, 3.51)</td>
<td valign="top" align="center">0.8769</td>
<td valign="top" align="center">0.18 (0.06, 0.57)</td>
<td valign="top" align="center">0.0035</td>
<td valign="top" align="center">0.17 (0.05, 0.67)</td>
<td valign="top" align="center">0.0109</td>
<td valign="top" align="center">2.11 (0.53, 8.44)</td>
<td valign="top" align="center">0.2930</td>
</tr>
<tr>
<td valign="top" align="left" colspan="9"><bold>&#x00A0;&#x00A0;Non-linear model</bold></td>
</tr>
<tr>
<td valign="top" align="center">Inflection point (K)</td>
<td valign="top" align="center">0.75</td>
<td/>
<td valign="top" align="center">0.81</td>
<td/>
<td valign="top" align="center">0.75</td>
<td/>
<td valign="top" align="center">0.94</td>
<td/>
</tr>
<tr>
<td valign="top" align="center">&#x003C;K-segment effect</td>
<td valign="top" align="center">432.38 (0.15, 1218565.73)</td>
<td valign="top" align="center">0.1343</td>
<td valign="top" align="center">0.88 (0.01, 96.00)</td>
<td valign="top" align="center">0.9589</td>
<td valign="top" align="center">15.97 (0.00, 135904.47)</td>
<td valign="top" align="center">0.5484</td>
<td valign="top" align="center">55.53 (1.47, 2097.52)</td>
<td valign="top" align="center">0.0302</td>
</tr>
<tr>
<td valign="top" align="center">&#x003E;K-segment effect</td>
<td valign="top" align="center">0.73 (0.20, 2.63)</td>
<td valign="top" align="center">0.6246</td>
<td valign="top" align="center">0.14 (0.03, 0.57)</td>
<td valign="top" align="center">0.0060</td>
<td valign="top" align="center">0.12 (0.03, 0.56)</td>
<td valign="top" align="center">0.0068</td>
<td valign="top" align="center">0.45 (0.06, 3.55)</td>
<td valign="top" align="center">0.4491</td>
</tr>
<tr>
<td valign="top" align="center">Log likelihood ratio</td>
<td valign="top" align="center">0.135</td>
<td/>
<td valign="top" align="center">0.5</td>
<td/>
<td valign="top" align="center">0.324</td>
<td/>
<td valign="top" align="center">0.042</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>HRR, hemoglobin-to-red blood cell distribution width ratio; CERAD, the Consortium to Establish a Registry for Alzheimer&#x2019;s Disease test; AFT, the Animal Fluency Test; DSST, the Digit Symbol Substitution Test. LCF, low cognitive function.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S3.SS3">
<title>3.3 Subgroup analyses</title>
<p>To further assess the effect of HRR in the obese population on cognitive test scores and low cognitive function, stratified analyses were performed based on age, sex, education level, smoking, alcohol consumption, family poverty-to-income ratio, diabetes, and cardiovascular diseases as covariates. The obese population consisted of 1,055 participants (452 men and 603 women), including 617 individuals aged &#x003C;70 years and 438 aged &#x2265;70 years. In terms of education level, 277 had less than high school education, 259 had high school or GED, and 519 had more than high school education. Regarding family poverty-to-income ratio, 176 had a ratio &#x2264;1, and 879 had a ratio &#x003E;1. Among them, 576 were married or living with parents, while 479 lived alone; additionally, 522 had a history of smoking, 533 had never smoked, 694 had a history of alcohol consumption, and 361 had no alcohol consumption. The population included 349 with diabetes, 647 without diabetes, and 59 with borderline glucose tolerance; 768 had hypertension, 287 did not; 102 had heart failure, 953 did not; 100 had coronary heart disease, 955 did not; and 78 had a history of stroke, 977 did not. In the stroke subgroup, HRR showed a stronger correlation with CERAD scores (<italic>P</italic> = 0.0119) (<xref ref-type="fig" rid="F3">Figure 3A</xref>), AFT scores (<italic>P</italic> = 0.0108) (<xref ref-type="fig" rid="F3">Figure 3B</xref>), and total Z-scores (<italic>P</italic> = 0.0033) (<xref ref-type="fig" rid="F3">Figure 3D</xref>). In the high-education group, HRR was more strongly correlated with DSST scores (<italic>P</italic> = 0.0205) (<xref ref-type="fig" rid="F3">Figure 3C</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Subgroup logistic regression analysis for the association between HRR and cognitive scores. <bold>(A)</bold> HRR and CERAD score; <bold>(B)</bold> HRR and AFT score; <bold>(C)</bold> HRR and DSST score; <bold>(D)</bold> HRR and total Z score.</p></caption>
<alt-text>Forest plot showing CERAD and AFT scores related to HRR across various variables. Graph A represents CERAD scores, while Graph B shows AFT scores. Each plot lists variables such as sex, age, education level, marital status, and health conditions with confidence intervals for HRR. Red dots indicate point estimates, and lines show confidence intervals. P-values for interaction are included on the right. Two forest plots showing DSST Score and HRR, and Total Z Score and HRR. Each plot lists variables like sex, age, education, and others on the y-axis with red dots indicating effect sizes and confidence intervals. P-values for interaction are displayed alongside each variable.</alt-text>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmed-12-1625542-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>4 Discussion</title>
<p>The study results show that in obese individuals, higher HRR is associated with better DSST performance and reduced likelihood of scoring below the cognitive impairment threshold. The results of the study suggest that HRR may have a positive effect on certain cognitive functions, particularly in areas like reaction time, attention, and working memory. This highlights the potential of HRR as a biomarker for cognitive function and a tool for identifying individuals at risk for cognitive decline.</p>
<p>With the increase of age, obvious declines occur in multiple specific cognitive domains: processing speed continues to decline, affecting the performance of language fluency and other aspects; complex attention tasks such as selective attention and divided attention decline significantly, and working memory is affected by the slowdown of information processing; episodic memory and semantic memory decline; visual naming and verbal fluency decrease; visual construction ability reduces; abilities such as concept formation, abstract reasoning, mental flexibility and response inhibition in executive function decline (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B32">32</xref>). The neurochemical properties and anatomical structure of the brain exhibit cumulative changes with age, with a significant decline in dopaminergic neuromodulation (<xref ref-type="bibr" rid="B32">32</xref>). The volume of gray and white matter gradually decreases, and the atrophy of polymodal cortical regions is particularly prominent, while the atrophy process of the hippocampus is accelerated by vascular factors (<xref ref-type="bibr" rid="B32">32</xref>). There are individual differences in the senescent changes of brain structure, especially the significant differences in the degree of age-related contraction in regions such as the lateral prefrontal cortex, prefrontal white matter, and hippocampus (<xref ref-type="bibr" rid="B32">32</xref>).</p>
<p>This study found that the protective effect of HRR on cognitive function was more pronounced in individuals with higher educational attainment, a result that can be theoretically explained by the mediating mechanism of cognitive reserve (<xref ref-type="bibr" rid="B33">33</xref>). In studies by Clare et al., educational level has been explicitly identified as a core component of cognitive reserve (<xref ref-type="bibr" rid="B33">33</xref>). Cognitive reserve buffers the impact of neuropathological changes on cognitive function by optimizing brain network recruitment strategies or activating alternative cognitive pathways (<xref ref-type="bibr" rid="B34">34</xref>). Higher educational attainment is often associated with greater cognitive reserve, which amplifies the protective effects of physiological processes reflected by HRR&#x2013;such as oxygen supply status and inflammation&#x2013;on cognition through enhancing neurovascular coupling efficiency or metabolic compensatory capacity (<xref ref-type="bibr" rid="B35">35</xref>).</p>
<p>In our study, a positive association between higher HRR and better cognitive performance was observed in obese individuals, but no such relationship was found in non-obese counterparts. This discrepancy may be attributed to the role of obesity in cognitive decline. Obesity is closely linked to various chronic diseases, and its negative impact on the brain is increasingly gaining attention (<xref ref-type="bibr" rid="B36">36</xref>). Obesity affects brain function and leads to cognitive decline through mechanisms such as neuroinflammation, oxidative stress, and alterations in the gut-brain axis (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B37">37</xref>). Anfal Al-Dalaeen et al. pointed out that neuroinflammation, oxidative stress, and reduced local blood flow induced by obesity jointly affect the brain (<xref ref-type="bibr" rid="B36">36</xref>). These factors disrupt the metabolic functions of the hypothalamus and the hippocampus, ultimately leading to cognitive impairment (<xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B38">38</xref>). Alyson A. Miller et al. further emphasized that systemic inflammation and increased free fatty acids caused by obesity can lead to local inflammation in the hypothalamus, which then affects cognitive-related brain regions, such as the hippocampus and amygdala, thereby exacerbating cognitive decline (<xref ref-type="bibr" rid="B38">38</xref>, <xref ref-type="bibr" rid="B39">39</xref>). Sarah-Jane Leigh et al. reviewed the relationship between obesity, high-fat diets, and cognitive impairment, finding that changes in the gut microbiome, systemic and central nervous system inflammation, and alterations in the blood-brain barrier are key mechanisms in this process (<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B37">37</xref>).</p>
<p>In our study, Model 3&#x2013;adjusted for multiple covariates&#x2013;still showed that higher HRR was positively associated with better cognitive performance, including higher DSST scores and reduced low cognitive function assessed by DSST, suggesting HRR could act as a biomarker for cognitive function in obese individuals. An increasing number of studies have shown a significant association between hemoglobin levels and cognitive function (<xref ref-type="bibr" rid="B40">40</xref>&#x2013;<xref ref-type="bibr" rid="B44">44</xref>). Low hemoglobin levels have been identified as a potential risk factor for cognitive decline (<xref ref-type="bibr" rid="B42">42</xref>&#x2013;<xref ref-type="bibr" rid="B48">48</xref>). Yi-Xuan Qiang et al. revealed that anemia is connected to a risk increase of more than 50% for all-cause dementia, with brain structure changes being a potential contributing factor that affects cognitive abilities (<xref ref-type="bibr" rid="B49">49</xref>). Laura M. Winchester et al. pointed out that lower hemoglobin levels were significantly associated with cognitive decline, particularly in the domains of reaction time and reasoning abilities (<xref ref-type="bibr" rid="B48">48</xref>). Andrea L. C. Schneider et al. also found that lower hemoglobin levels were negatively correlated with cognitive domains such as processing speed, attention, and working memory, as assessed by the DSST (<xref ref-type="bibr" rid="B16">16</xref>). In patients suffering from stroke, lower hemoglobin levels have been correlated with a higher likelihood of post-stroke cognitive impairment (<xref ref-type="bibr" rid="B50">50</xref>). Some studies have also found that higher hemoglobin levels in stroke patients are positively correlated with the maintenance of cognitive function (<xref ref-type="bibr" rid="B51">51</xref>). However, Raj C. Shah et al. highlighted that both very low and very high hemoglobin levels were associated with lower cognitive function, particularly in areas such as semantic memory and perceptual speed (<xref ref-type="bibr" rid="B52">52</xref>, <xref ref-type="bibr" rid="B53">53</xref>). This suggests that hemoglobin may have a bidirectional effect on cognitive function. Despite these findings, some studies have not found a direct relationship between hemoglobin levels and cognitive function (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B54">54</xref>, <xref ref-type="bibr" rid="B55">55</xref>). Beydoun et al. found that in individuals with anemia, no significant association was observed between RDW and cognitive performance (<xref ref-type="bibr" rid="B54">54</xref>). By contrast, in non-anemic populations, the association between RDW and cognition was more consistent (<xref ref-type="bibr" rid="B54">54</xref>). This lack of association with anemia may be attributed to the elevated RDW in anemic individuals within the sample, which potentially masked the independent effect of hemoglobin (<xref ref-type="bibr" rid="B54">54</xref>). Chen et al.&#x2019;s study recruited healthy old men from Taiwan, China, and used the Cognitive Abilities Screening Instrument Chinese version and the Wechsler Digit Span Task test for cognitive assessment (<xref ref-type="bibr" rid="B55">55</xref>). The study&#x2019;s conclusions indicated that the association between hemoglobin levels and cognitive function was influenced by differences in study populations and cognitive assessment methods (<xref ref-type="bibr" rid="B55">55</xref>). Schneider et al. found in their study on different hemoglobin concentrations that the sample size of individuals with high hemoglobin was relatively small (21 men and 56 women), a limitation that compromised the statistical power of analyses examining associations between this group and cognitive function (<xref ref-type="bibr" rid="B16">16</xref>). In the prospective follow-up with a mean duration of 6 years, the study further revealed no significant associations between overall anemia or its subtypes and declines in cognitive function (<xref ref-type="bibr" rid="B16">16</xref>). This result may be attributed to multiple factors: the relatively young baseline age of the study participants (mean age 57 years), the relatively short follow-up period, and the presence of attrition bias&#x2013;those who were lost to follow-up were predominantly older individuals with lower educational attainment and multiple vascular risk factors (<xref ref-type="bibr" rid="B16">16</xref>).</p>
<p>The influence of hemoglobin on cognitive function may be related to several mechanisms, such as chronic hypoxia, &#x03B2;-amyloid deposition, and neuroinflammation (<xref ref-type="bibr" rid="B52">52</xref>, <xref ref-type="bibr" rid="B56">56</xref>). When hemoglobin levels are too low, cerebral blood flow cannot meet the oxygen demands, leading to impaired brain cell function and exacerbating cognitive decline (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>). Additionally, a reduction in erythropoietin receptor expression may worsen neural damage, further increasing the risk of cognitive decline (<xref ref-type="bibr" rid="B52">52</xref>). Different types of anemia may affect brain function through different mechanisms. For example, iron-deficiency anemia may impair cognitive function by interfering with key enzymes in brain cell metabolism (<xref ref-type="bibr" rid="B57">57</xref>), while vitamin B12 and folate deficiencies may exacerbate cognitive impairment by affecting the metabolism of homocysteine and acetylcholine (<xref ref-type="bibr" rid="B58">58</xref>).</p>
<p>As a core component of HRR, RDW serves as an indicator of red blood cell volume heterogeneity (<xref ref-type="bibr" rid="B18">18</xref>). Studies have demonstrated that RDW is associated with inflammation, oxidative stress, and other factors, which play critical roles in cognitive decline (<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>). Elevated RDW has been associated with various health conditions, and studies suggest it may also serve as a marker for cognitive dysfunction (<xref ref-type="bibr" rid="B54">54</xref>, <xref ref-type="bibr" rid="B59">59</xref>, <xref ref-type="bibr" rid="B60">60</xref>). Yi-Xuan Qiang et al. identified a link between RDW levels and the risk of developing Alzheimer&#x2019;s disease, suggesting that RDW could serve as a valuable biomarker for monitoring cognitive decline (<xref ref-type="bibr" rid="B49">49</xref>). Laura M. Winchester et al. found that lower RDW was associated with poorer language reasoning and memory abilities (<xref ref-type="bibr" rid="B48">48</xref>). Kyoung Min Kim et al. pointed out that individuals with higher RDW had worse cognitive function and slower gait (<xref ref-type="bibr" rid="B61">61</xref>).</p>
<p>The relationship between increased RDW and cognitive decline may be closely related to inflammatory responses (<xref ref-type="bibr" rid="B60">60</xref>). Chronic inflammation is one of the key mechanisms of cognitive decline. Systemic inflammation triggers amyloid deposition, activates microglia and astrocytes in the central nervous system, leading to neuroinflammation that damages neuronal structure and function, ultimately affecting cognitive function (<xref ref-type="bibr" rid="B62">62</xref>). Yuan Fang et al. found that peripheral inflammation, by disrupting the blood-brain barrier, activates inflammatory responses in the nervous system, further exacerbating cognitive impairment (<xref ref-type="bibr" rid="B59">59</xref>, <xref ref-type="bibr" rid="B63">63</xref>).</p>
<p>In summary, an increase in HRR reflects the body&#x2019;s ability to resist factors such as systemic inflammation and oxidative stress. These mechanisms, acting together, contribute to the protection of cognitive function.</p>
</sec>
<sec id="S5">
<title>5 Strengths and limitations</title>
<p>This study provides evidence of HRR as a potential biomarker for cognitive health in obese populations. However, due to the cross-sectional design, longitudinal clinical trials are needed to further clarify the causal relationship. While multi-ethnic groups were included, Southeast Asian and other Asian populations were underrepresented. Using BMI to classify obesity has inherent limitations: it relies solely on height and weight, failing to distinguish muscle from fat, and cannot reflect true fat distribution in metabolically obese but normal weight individuals. BMI obesity thresholds also vary by ethnicity. Moreover, the failure to comprehensively assess obesity by integrating multi-dimensional indicators such as body fat percentage, waist circumference, and visceral fat area weakens the accuracy and generalizability of the research conclusions (<xref ref-type="bibr" rid="B64">64</xref>, <xref ref-type="bibr" rid="B65">65</xref>).</p>
</sec>
<sec id="S6" sec-type="conclusion">
<title>6 Conclusion</title>
<p>This study suggest that HRR may serve as a potential biomarker for reflecting cognitive function status: individuals with higher HRR levels demonstrated better performance in cognitive assessments. This discovery indicates that maintaining a higher HRR could be a potential intervention strategy for protecting the cognitive abilities of obese populations. However, this conclusion still requires further validation through longitudinal studies with larger sample sizes, multicenter clinical trials, and exploration of action mechanisms to clarify the clinical application value of HRR as a target for cognitive protection.</p>
</sec>
</body>
<back>
<sec id="S7" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="S8" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were conducted in accordance with the Declaration of Helsinki and were approved by the NCHS Ethics Review Board. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="S9" sec-type="author-contributions">
<title>Author contributions</title>
<p>RX: Investigation, Writing &#x2013; original draft, Data curation, Software, Methodology, Writing &#x2013; review &#x0026; editing. ZW: Writing &#x2013; original draft. ZL: Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec id="S10" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<ack><p>We would like to thank all participants in this study.</p>
</ack>
<sec id="S11" sec-type="COI-statement">
<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 id="S12" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="S13" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<title>Abbreviations</title>
<fn fn-type="abbr">
<p>Hb, hemoglobin; RDW, red blood cell distribution width; HRR, hemoglobin-to-red blood cell distribution width ratio; NHANES, National Health and Nutrition Examination Survey; CERAD, Consortium to Establish a Registry for Alzheimer&#x2019;s Disease; AFT, Animal Fluency Test; DSST, Digit Symbol Substitution Test; LCF, low cognitive function; BMI, body mass index; PIR, poverty-to-income ratio.</p></fn>
</fn-group>
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