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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Neurol.</journal-id>
<journal-title>Frontiers in Neurology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Neurol.</abbrev-journal-title>
<issn pub-type="epub">1664-2295</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fneur.2017.00501</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neuroscience</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Circulating Cholesterol Levels May Link to the Factors Influencing Parkinson&#x02019;s Risk</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Zhang</surname> <given-names>Lijun</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x0002A;</xref>
<uri xlink:href="http://frontiersin.org/people/u/68924"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Xue</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Ming</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Sterling</surname> <given-names>Nick W.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Du</surname> <given-names>Guangwei</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Lewis</surname> <given-names>Mechelle M.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/450136"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Yao</surname> <given-names>Tao</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Mailman</surname> <given-names>Richard B.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/260286"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Li</surname> <given-names>Runze</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Huang</surname> <given-names>Xuemei</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
<xref ref-type="aff" rid="aff9"><sup>9</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x0002A;</xref>
<uri xlink:href="http://frontiersin.org/people/u/134162"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Institute for Personalized Medicine, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Industrial and Manufacturing Engineering, Pennsylvania State University</institution>, <addr-line>University Park, PA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Public Health Sciences, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Neurology, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Pharmacology, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<aff id="aff6"><sup>6</sup><institution>Department of Statistics, Pennsylvania State University</institution>, <addr-line>University Park, PA</addr-line>, <country>United States</country></aff>
<aff id="aff7"><sup>7</sup><institution>Department of Radiology, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<aff id="aff8"><sup>8</sup><institution>Department of Neurosurgery, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<aff id="aff9"><sup>9</sup><institution>Department of Kinesiology, Pennsylvania State University College of Medicine-Milton S. Hershey Medical Center</institution>, <addr-line>Hershey, PA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Oscar Arias-Carri&#x000F3;n, Hospital General Dr. Manuel Gea Gonzalez, Mexico</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Paola V&#x000E1;zquez-C&#x000E1;rdenas, Hospital General Dr. Manuel Gea Gonzalez, Mexico; Graziella Madeo, National Institutes of Health (NIH), United States</p></fn>
<corresp content-type="corresp" id="cor1">&#x0002A;Correspondence: Lijun Zhang, <email>lzhang6&#x00040;pennstatehealth.psu.edu</email>; Xuemei Huang, <email>xuemei&#x00040;psu.edu</email></corresp>
<fn fn-type="other" id="fn001"><p>Specialty section: This article was submitted to Movement Disorders, a section of the journal Frontiers in Neurology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>09</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>8</volume>
<elocation-id>501</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>05</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>09</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Zhang, Wang, Wang, Sterling, Du, Lewis, Yao, Mailman, Li and Huang.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Zhang, Wang, Wang, Sterling, Du, Lewis, Yao, Mailman, Li and Huang</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) or licensor 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 abstract-type="executive-summary">
<sec id="ST1">
<title>Objectives</title>
<p>A growing literature suggests that circulating cholesterol levels have been associated with Parkinson&#x02019;s disease (PD). In this study, we investigated a possible causal basis for the cholesterol-PD link.</p>
</sec>
<sec id="ST2">
<title>Methods</title>
<p>Fasting plasma cholesterol levels were obtained from 91 PD and 70 age- and gender-matched controls from an NINDS PD Biomarkers Program cohort at the Pennsylvania State University College of Medicine. Based on the literature, genetic polymorphisms in selected cholesterol management genes (APOE, LDLR, LRP1, and LRPAP1) were chosen as confounding variables because they may influence both cholesterol levels and PD risk. First, the marginal structure model was applied, where the associations of total- and LDL-cholesterol levels with genetic polymorphisms, statin usage, and smoking history were estimated using linear regression. Then, potential causal influences of total- and LDL-cholesterol on PD occurrence were investigated using a generalized propensity score approach in the second step.</p>
</sec>
<sec id="ST3">
<title>Results</title>
<p>Both statins (<italic>p</italic>&#x02009;&#x0003C;&#x02009;0.001) and LRP1 (<italic>p</italic>&#x02009;&#x0003C;&#x02009;0.03) influenced total- and LDL-cholesterol levels. There also was a trend for APOE to affect total- and LDL-cholesterol (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.08 for both), and for LRPAR1 to affect LDL-cholesterol (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.05). Conversely, LDLR did not influence plasma cholesterol levels (<italic>p</italic>&#x02009;&#x0003E;&#x02009;0.19). Based on propensity score methods, lower total- and LDL-cholesterol were significantly linked to PD (<italic>p</italic>&#x02009;&#x0003C;&#x02009;0.001 and <italic>p</italic>&#x02009;&#x0003D;&#x02009;0.04, respectively).</p>
</sec>
<sec id="ST4">
<title>Conclusion</title>
<p>The current study suggests that circulating total- and LDL-cholesterol levels potentially may be linked to the factor(s) influencing PD risk. Further studies to validate these results would impact our understanding of the role of cholesterol as a risk factor in PD, and its relationship to recent public health controversies.</p>
</sec>
</abstract>
<kwd-group>
<kwd>Parkinson&#x02019;s disease</kwd>
<kwd>cholesterol</kwd>
<kwd>genetics</kwd>
<kwd>statins</kwd>
<kwd>propensity score</kwd>
</kwd-group>
<contract-num rid="cn01">R01 NS060722, U01 NS082151</contract-num>
<contract-num rid="cn02">P50 DA039838, P50 DA036107</contract-num>
<contract-num rid="cn03">DMS1512422</contract-num>
<contract-sponsor id="cn01">National Institute of Neurological Disorders and Stroke<named-content content-type="fundref-id">10.13039/100000065</named-content></contract-sponsor>
<contract-sponsor id="cn02">National Institute on Drug Abuse<named-content content-type="fundref-id">10.13039/100000026</named-content></contract-sponsor>
<contract-sponsor id="cn03">National Science Foundation<named-content content-type="fundref-id">10.13039/100000001</named-content></contract-sponsor>
<counts>
<fig-count count="1"/>
<table-count count="2"/>
<equation-count count="3"/>
<ref-count count="56"/>
<page-count count="8"/>
<word-count count="6279"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="introduction">
<title>Introduction</title>
<p>Although the exact cause for Parkinson&#x02019;s disease (PD) is unknown, behavioral and environmental factors have a strong effect on PD risk. A growing literature has provided evidence that circulating cholesterol is related to PD. First, case&#x02013;control studies have found that higher plasma cholesterol is associated with reduced PD prevalence (<xref ref-type="bibr" rid="B1">1</xref>&#x02013;<xref ref-type="bibr" rid="B4">4</xref>). Second, several prospective studies have indicated that low cholesterol predates the diagnosis of PD (<xref ref-type="bibr" rid="B5">5</xref>&#x02013;<xref ref-type="bibr" rid="B9">9</xref>). Third, higher baseline cholesterol may be linked to slower PD progression (<xref ref-type="bibr" rid="B10">10</xref>), better cognitive and motor performance (<xref ref-type="bibr" rid="B11">11</xref>), and delayed age of PD onset (<xref ref-type="bibr" rid="B12">12</xref>).</p>
<p>Although these studies show clear and consistent associations, the observed cholesterol&#x02013;PD relationship may not be causal. For example, PD diagnosis may prime for adoption of a &#x0201C;healthier&#x0201D; lifestyle, thereby leading to lower cholesterol, or indeed, there could be an unknown behavioral (e.g., smoking) or medical (e.g., use of statin) confounder. Alternatively, lower plasma cholesterol simply may reflect metabolic or non-motor changes that are associated with PD. Thus, the current study was designed to investigate a potential causal relationship between the cholesterol&#x02013;PD link by studying a number of factors that may affect both circulating cholesterol levels and PD risk.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2-1">
<title>Cohort Subjects</title>
<p>Parkinson&#x02019;s disease (<italic>n</italic>&#x02009;&#x0003D;&#x02009;91) and control (<italic>n</italic>&#x02009;&#x0003D;&#x02009;70) subjects (hereafter controls) with a Mini-Mental State Exam (MMSE) score &#x02265;26 were selected from an ongoing cohort study that is part of the NINDS PD Biomarkers Program (<xref ref-type="bibr" rid="B13">13</xref>) at the Penn State site. PD patients were recruited from the Penn State Hershey Medical Center movement disorders clinic, and Controls free of any major neurological disorders were recruited from the spouse population and local community. PD and Controls were age-, gender-, and education-matched based on overall distribution. PD diagnosis was confirmed using published criteria (<xref ref-type="bibr" rid="B14">14</xref>). Subjects with signs of dementia were excluded using the MMSE score cutoff described above. All PD and control subjects also were free of neurological disorders other than PD, and free of major and acute medical issues such as liver, kidney, or thyroid abnormalities, and deficiencies of B12 or folate. All brain images were deemed free of any major structural abnormalities. Blood was collected after an 8&#x02013;12&#x02009;h overnight fast at the baseline visit. Although many metabolic factors may influence cholesterol or PD, the role of diabetes in PD is still in debate. In the current study, we collected fasting lipid profiles and statin usage as main factors of interest for this study. We did not assess either diagnosis of diabetes or drugs to treat diabetes, nor did we measure blood glucose or hemoglobin A1c levels. Written informed consent was obtained for all subjects in accordance with the Declaration of Helsinki. The Penn State Hershey Institutional Review Board approved the research study protocol.</p>
</sec>
<sec id="S2-2">
<title>Plasma Cholesterol</title>
<p>Plasma triglyceride, total-, and HDL-cholesterol levels were measured by enzymatic methods as described previously (<xref ref-type="bibr" rid="B11">11</xref>). LDL-cholesterol was calculated using the Friedwald equation:
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:msub><mml:mtext>LDL</mml:mtext><mml:mi>C</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>Chol</mml:mtext><mml:mrow><mml:mtext>total</mml:mtext></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mtext>Triglycerides</mml:mtext></mml:mrow><mml:mn>5</mml:mn></mml:mfrac><mml:mo>+</mml:mo><mml:msub><mml:mtext>HDL</mml:mtext><mml:mi>C</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="S2-3">
<title>Behavioral and Medical Information</title>
<p>Age, gender, statin usage, and history of smoking were obtained as part of a comprehensive demographic survey. Subjects were considered smokers if they had smoked one cigarette per day for 6&#x02009;months or more at some point in the past (<xref ref-type="bibr" rid="B15">15</xref>). Subjects were considered statin users if they were using statins at the time of blood sampling.</p>
</sec>
<sec id="S2-4">
<title>NeuroX Genotyping Data Acquisition and Analysis</title>
<p>Single-nucleotide polymorphism (SNP) genotyping was performed on whole blood DNA samples extracted by the NINDS PDBP using the Illumina NeuroX array. A total 269,476 variants were genotyped, and the Genotyping Analysis Module within Genome Studio version 1.9.4 was used to call participant genotypes. The threshold call rate for sample inclusion was 95%. Concordance between reported sex and determined sex estimated from X chromosome heterogeneity was required for enrollment in the current study. X chromosome heterogeneity calculations were based on common SNPs from the International HapMap Project that had genotypes with missingness &#x0003C;5% and Hardy&#x02013;Weinberg equilibrium <italic>p</italic> values&#x02009;&#x0003E;&#x02009;10<sup>&#x02013;5</sup>. Samples also were excluded if they were six SDs from the population mean rate of heterozygosity based on common polymorphisms (<xref ref-type="bibr" rid="B16">16</xref>).</p>
<p>The Klemann et al. (<xref ref-type="bibr" rid="B17">17</xref>) study of 13,094 PD and 47,148 controls showed that lipids and lipoproteins are involved functionally in, and affect, dopaminergic neuron-specific signaling cascades, providing insight into how lipids and lipoproteins may play a key role in PD. The APOE and amyloid-&#x003B2; (A&#x003B2;) pathways in the brain show APOE, LDLR, LRP1, and LRPAP1 are involved in the cycling of cholesterol and the delivery of lipids (<xref ref-type="bibr" rid="B18">18</xref>). Several other studies show that cholesterol recycling may be linked to PD (<xref ref-type="bibr" rid="B19">19</xref>&#x02013;<xref ref-type="bibr" rid="B21">21</xref>). APOE and LRPAP1 SNPs are associated significantly with increased PD risk (<xref ref-type="bibr" rid="B22">22</xref>), and both APOE and its receptors (LDLR and LRP1) have been shown to be increased in striatal and hippocampal tissue after MPTP lesions (<xref ref-type="bibr" rid="B23">23</xref>). Wilhelmus et al. (<xref ref-type="bibr" rid="B24">24</xref>) also observed increased APOE and LRP1 expression in PD and Lewy body disease. Together, the literature provided a strong biological rationale to choose these genes for this study.</p>
<p>We extracted the APOE, LDLR, LRP1, and LRPAP1 SNPs from the NINDS NeuroX genotyping data. Within the NeuroX genotyping data, there are 40 allele loci for the LDLR that contain two major mutation SNPs (rs6511720 and rs2228671), 72 allele loci for LRP1 with three mutation SNPs (rs11172113, rs1466535 and rs1800127), and 17 allele loci for LRPAP1 that contain one major mutation SNP (rs11549516). GWAS studies with these SNPs show they have an association with lipids at <italic>p</italic>&#x02009;&#x0003C;&#x02009;0.0001 (<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B26">26</xref>).</p>
</sec>
<sec id="S2-5">
<title>Statistical Analysis</title>
<p>For comparison of demographic data between PD and controls, Pearson chi-square tests or Fisher&#x02019;s exact tests were applied for categorical variables (e.g., gender) and two-sample <italic>t</italic>-tests or Wilcoxon rank-sum tests were used for continuous variables (e.g., age), as appropriate in Table <xref ref-type="table" rid="T1">1</xref>. The effects of genetic polymorphisms (LDLR, LRP1, LRPAP1, and APOE), age, gender, statin usage, and behavioral factors (smoking) on total- and LDL-cholesterol levels first were analyzed using linear regression analyses for estimating the propensity scores. To determine whether total- and LDL-cholesterol (exposures of interests) had a causal influence on PD occurrence, a marginal structure model with estimated propensity score (<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B28">28</xref>) was used next. Namely, the propensity score of being assigned to the exposure group given a set of observed potential confounders (e.g., genetic polymorphisms, age, gender, and behavioral factors) controls for differences in confounders between the exposure and non-exposure groups (<xref ref-type="bibr" rid="B29">29</xref>&#x02013;<xref ref-type="bibr" rid="B31">31</xref>). Recently, Zhu et al. (<xref ref-type="bibr" rid="B28">28</xref>) described a boosting algorithm for estimating generalized propensity scores. The generalized propensity score was assumed to depend on a linear combination of the confounders, and the ignorability assumption was imposed such that it was sufficient to condition on the generalized propensity scores in order to adjust for confounding instead of conditioning on the vector of covariates (<xref ref-type="bibr" rid="B28">28</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Characteristics of the study subjects.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center">Control (<italic>N</italic>&#x02009;&#x0003D;&#x02009;70)</th>
<th valign="top" align="center">PD (<italic>N</italic>&#x02009;&#x0003D;&#x02009;91)</th>
<th valign="top" align="center"><italic>p</italic>-Value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Gender (F:M)</td>
<td align="center" valign="top">32:38</td>
<td align="center" valign="top">42:49</td>
<td align="center" valign="top">0.96<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">Age (years)</td>
<td align="center" valign="top">63.5&#x02009;&#x000B1;&#x02009;11.6</td>
<td align="center" valign="top">65.8&#x02009;&#x000B1;&#x02009;11.2</td>
<td align="center" valign="top">0.20<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">Smoke (No:Yes)</td>
<td align="center" valign="top">49:21</td>
<td align="center" valign="top">63:28</td>
<td align="center" valign="top">0.92<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">Statin Usage (No:Yes)</td>
<td align="center" valign="top">44:26</td>
<td align="center" valign="top">62:29</td>
<td align="center" valign="top">0.48<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">Total-cholesterol (mg/dL)</td>
<td align="center" valign="top">195.2&#x02009;&#x000B1;&#x02009;37.1</td>
<td align="center" valign="top">183.0&#x02009;&#x000B1;&#x02009;33.5</td>
<td align="center" valign="top"><bold>0.03</bold><xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">LDL-cholesterol (mg/dL)</td>
<td align="center" valign="top">118.5&#x02009;&#x000B1;&#x02009;33.2</td>
<td align="center" valign="top">108.4&#x02009;&#x000B1;&#x02009;26.6</td>
<td align="center" valign="top"><bold>0.04</bold><xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">HDL-cholesterol (mg/dL)</td>
<td align="center" valign="top">52.1&#x02009;&#x000B1;&#x02009;15.7</td>
<td align="center" valign="top">53.0&#x02009;&#x000B1;&#x02009;15.6</td>
<td align="center" valign="top">0.72<xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">Triglycerides (mg/dL)</td>
<td align="center" valign="top">123.4&#x02009;&#x000B1;&#x02009;66.6</td>
<td align="center" valign="top">108.0&#x02009;&#x000B1;&#x02009;51.0</td>
<td align="center" valign="top">0.11<xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="4"><bold>APOE polymorphism</bold></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top">&#x003B5;3&#x003B5;3:&#x003B5;3&#x003B5;2:&#x003B5;2&#x003B5;2:&#x003B5;3&#x003B5;4:&#x003B5;4&#x003B5;4:&#x003B5;4&#x003B5;2</td>
<td align="center" valign="top">56:14:0:0:0:0</td>
<td align="center" valign="top">78:12:1:0:0:0</td>
<td align="center" valign="top" rowspan="2"/>
</tr>
<tr>
<td align="left" valign="top">Freq. of APOE genotypes (%)</td>
<td align="center" valign="top">80:20:0:0:0:0</td>
<td align="center" valign="top">86:13:1:0:0:0</td>
</tr>
<tr>
<td align="left" valign="top">No. of APOE &#x003B5;2 allele</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">No. of APOE &#x003B5;3 allele</td>
<td align="center" valign="top">126</td>
<td align="center" valign="top">168</td>
<td align="center" valign="top"/>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="4"><bold>LDLR single-nucleotide polymorphisms (SNPs)</bold></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top">rs6511720 (GG TG TT) (T%)</td>
<td align="center" valign="top">57:12:1 (10%)</td>
<td align="center" valign="top">66:22:3 (15.4%)</td>
<td align="center" valign="top">0.45<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">rs2228671 (CC TC TT) (T%)</td>
<td align="center" valign="top">60:10:0 (7.1%)</td>
<td align="center" valign="top">67:21:3 (14.8%)</td>
<td align="center" valign="top">0.10<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="4"><bold>LRP1 SNPs</bold></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top">rs11172113 (CC CT TT) (T%)</td>
<td align="center" valign="top">19:23:28 (56.4%)</td>
<td align="center" valign="top">17:42:32 (58.2%)</td>
<td align="center" valign="top">0.19<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">rs1466535 (CC TC TT) (C%)</td>
<td align="center" valign="top">32:26:12 (64.3%)</td>
<td align="center" valign="top">38:43:10 (65.4%)</td>
<td align="center" valign="top">0.35<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">rs1800127 (CC TC TT) (T%)</td>
<td align="center" valign="top">66:3:1 (3.6%)</td>
<td align="center" valign="top">85:6:0 (3.3%)</td>
<td align="center" valign="top">0.49<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="4"><bold>LRPAP1 SNPs</bold></td>
</tr><tr><td align="left" valign="top" colspan="4"><hr/></td></tr>
<tr>
<td align="left" valign="top">rs11549516 (CC TC TT) (T%)</td>
<td align="center" valign="top">65:5:0 (3.6%)</td>
<td align="center" valign="top">89:2:0 (1.1%)</td>
<td align="center" valign="top">0.24<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn1"><p><italic><sup>a</sup>Chi-square tests</italic>.</p></fn>
<fn id="tfn2"><p><italic><sup>b</sup>Two-sample t-tests</italic>.</p></fn>
<fn id="tfn3"><p><italic><sup>c</sup>Wilcoxon rank-sum tests</italic>.</p></fn>
<fn id="tfn4"><p><italic><sup>d</sup>Fisher&#x02019;s exact tests</italic>.</p></fn></table-wrap-foot></table-wrap>
<p>If we let <italic>Y</italic> denote PD status (Yes&#x02009;&#x0003D;&#x02009;1; No&#x02009;&#x0003D;&#x02009;0), <italic>M</italic> be the continuous measurement (such as LDL- or total-cholesterol), and <italic>X</italic> be a <italic>p</italic>-dimensional vector of covariates (including genetic markers and environmental factors), then the observed data including <italic>n</italic> random samples can be represented as (<italic>Y<sub>i</sub>, M<sub>i</sub>, X<sub>i</sub></italic>), <italic>i</italic>&#x02009;&#x0003D;&#x02009;1, 2, &#x02026;, <italic>n</italic>. For any value of the <italic>M</italic> from a continuous domain noted by <italic>m</italic>, the corresponding outcome is defined as <italic>Y<sub>i</sub></italic>(<italic>m</italic>). Given the ignorability assumption described by Zhu et al. (<xref ref-type="bibr" rid="B28">28</xref>), the following marginal structural model (MSM) for the binary outcome is
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mrow><mml:mtext>logit</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mi>E</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo stretchy='false'>)</mml:mo><mml:mo stretchy='false'>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>m</mml:mi></mml:mrow></mml:math></disp-formula>
where the parameters with standard errors (SE) can be estimated by inverse probability weights (IPW). Thus, the estimates of odds ratios with 95% confidence intervals (CIs) can be calculated without conditioning on any covariates. Of note, the weights can be obtained by the generalized propensity score that is the conditional density of observing m given the covariates denoted by <italic>r</italic>(<italic>m, X</italic>)&#x02009;&#x0003D;&#x02009;<italic>f<sub>m</sub></italic><sub>&#x0007C;</sub><italic><sub>X</sub></italic>(<italic>m, X</italic>). Here, we consider a multiple regression model for the generalized propensity score, which is traditional and written by
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mrow><mml:mi>M</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:mi>&#x003B2;</mml:mi><mml:mo>+</mml:mo><mml:mi>&#x003B5;</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x000A0;&#x000A0;</mml:mtext><mml:mi>&#x003B5;</mml:mi><mml:mo>&#x0223C;</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi>&#x003C3;</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></disp-formula>
where the considered covariates include age, gender, statin usage, smoking, APOE, LDLR, LRP1, and LRPAP1 gene SNPs. Following the procedures of Ji et al. (<xref ref-type="bibr" rid="B32">32</xref>), the weight for the <italic>i</italic>th subject is calculated by <inline-formula><mml:math id="M4"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mover><mml:mi>r</mml:mi><mml:mo>&#x0005E;</mml:mo></mml:mover><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mover><mml:mi>r</mml:mi><mml:mo>&#x0005E;</mml:mo></mml:mover><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M5"><mml:mrow><mml:mover><mml:mi>r</mml:mi><mml:mo>&#x0005E;</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> is the estimation of the propensity score. The analyses were conducted using R software (version 3.3.3) and the &#x0201C;Survey&#x0201D; package was used for parameter estimation.</p>
</sec>
</sec>
<sec id="S3">
<title>Results</title>
<sec id="S3-1">
<title>Demographic Characteristics of Study Subjects</title>
<p>Parkinson&#x02019;s disease and controls were similar in age, gender, history of smoking, and statin usage (Table <xref ref-type="table" rid="T1">1</xref>). Total- and LDL-cholesterol levels were significantly lower in the PD group (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.03 and 0.04, respectively), whereas HDL and triglycerides were similar in the two groups. The majority of both control (80%) and PD (86%) subjects had the &#x003B5;3&#x003B5;3 phenotype, with the remaining control and PD subjects having the &#x003B5;3&#x003B5;2 phenotype. One PD subject had the &#x003B5;2&#x003B5;2 phenotype, and no subjects had an &#x003B5;4 allele. PD and controls had similar proportions of the two LDLR SNPs investigated in our study (<italic>p</italic>&#x02009;&#x0003E;&#x02009;0.10). In addition, there was no difference in the proportion of the three LRP1 SNPs between PDs and controls (<italic>p</italic>&#x02009;&#x0003E;&#x02009;0.19), or the LRPAP1 SNP (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.24).</p>
</sec>
<sec id="S3-2">
<title>The Effects of Age, Gender, Smoking, Statin Usage, and Genes on Blood Cholesterol Levels</title>
<p>Age and history of smoking did not influence significantly cholesterol levels in our cohort, whereas PD subjects had lower total- and LDL-cholesterol (Table <xref ref-type="table" rid="T1">1</xref>). The histogram in Figure <xref ref-type="fig" rid="F1">1</xref>A and the QQ plot in Figure <xref ref-type="fig" rid="F1">1</xref>B show that LDL is approximately normally distributed (total-cholesterol also has an approximately normal distribution, not shown). We conducted multiple regression using our initial model (Table <xref ref-type="table" rid="T2">2</xref>, Model I) that included APOE and six SNPs in the LDLR, LRPI, and LRPAP1 genes, and adjusted for several potential confounding variables, including smoking history, statin use, age, and gender. We also performed model selection based on the Akaike information criterion (AIC, stepAIC function in R) for total- and LDL-cholesterol, referred to as Model II in Table <xref ref-type="table" rid="T2">2</xref>. Figure <xref ref-type="fig" rid="F1">1</xref>C shows that the residuals from fitted values for LDL in Model II from Eq. <xref ref-type="disp-formula" rid="E3">3</xref> have approximately constant variance and are normally distributed (Shapiro&#x02013;Wilk test has <italic>p</italic>&#x02009;&#x0003D;&#x02009;0.1).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Model diagnostic for fitted model in the causal link of LDL-cholesterol to PD risk. <bold>(A)</bold> Histogram of LDL. <bold>(B)</bold> QQ plot of residuals. <bold>(C)</bold> Residuals vs. fitted values. <bold>(D)</bold> Inverse probability weights.</p></caption>
<graphic xlink:href="fneur-08-00501-g001.tif"/>
</fig>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Confounder effects on cholesterol levels.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center" colspan="4">Total-cholesterol<hr/></th>
<th valign="top" align="center" colspan="4">LDL&#x02013;cholesterol<hr/></th>
</tr><tr>
<th valign="top" align="left"/>
<th valign="top" align="center" colspan="2">Model I<xref ref-type="table-fn" rid="tfn5"><sup>a</sup></xref><hr/></th>
<th valign="top" align="center" colspan="2">Model II<xref ref-type="table-fn" rid="tfn6"><sup>b</sup></xref><hr/></th>
<th valign="top" align="center" colspan="2">Model I<xref ref-type="table-fn" rid="tfn7"><sup>c</sup></xref><hr/></th>
<th valign="top" align="center" colspan="2">Model II<xref ref-type="table-fn" rid="tfn8"><sup>d</sup></xref><hr/></th>
</tr><tr>
<th valign="top" align="left">Cofounder</th>
<th valign="top" align="center">Estimation &#x003B2; (SD)</th>
<th valign="top" align="center"><italic>p</italic></th>
<th valign="top" align="center">Estimation &#x003B2; (SD)</th>
<th valign="top" align="center"><italic>p</italic></th>
<th valign="top" align="center">Estimation &#x003B2; (SD)</th>
<th valign="top" align="center"><italic>p</italic></th>
<th valign="top" align="center">Estimation &#x003B2; (SD)</th>
<th valign="top" align="center"><italic>p</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Age (years)</td>
<td align="center" valign="top">&#x02212;0.20 (0.24)</td>
<td align="center" valign="top">0.40</td>
<td align="center" valign="top">&#x02212;0.16</td>
<td align="center" valign="top">0.48</td>
<td align="center" valign="top">&#x02212;0.18 (0.2)</td>
<td align="center" valign="top">0.39</td>
<td align="center" valign="top">&#x02212;0.16 (0.2)</td>
<td align="center" valign="top">0.42</td>
</tr>
<tr>
<td align="left" valign="top">Gender (M)</td>
<td align="center" valign="top">&#x02212;16.44 (5.38)</td>
<td align="center" valign="top"><bold>0.003<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;17.27</td>
<td align="center" valign="top"><bold>0.001<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;4.83 (4.62)</td>
<td align="center" valign="top">0.30</td>
<td align="center" valign="top">&#x02212;5.71 (4.57)</td>
<td align="center" valign="top">0.21</td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="9"><bold>Statin and smoking effects on cholesterol levels</bold></td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top">Statin usage (Yes)</td>
<td align="center" valign="top">&#x02212;20.96 (5.31)</td>
<td align="center" valign="top"><bold>&#x0003C;0.001<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;20.49</td>
<td align="center" valign="top"><bold>&#x0003C;0.001<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;19.90 (4.75)</td>
<td align="center" valign="top"><bold>&#x0003C;0.001<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;19.31 (4.71)</td>
<td align="center" valign="top"><bold>&#x0003C;0.001<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
</tr>
<tr>
<td align="left" valign="top">Smoke (Yes)</td>
<td align="center" valign="top">&#x02212;9.64 (5.87)</td>
<td align="center" valign="top">0.10</td>
<td align="center" valign="top">&#x02212;8.97</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">&#x02212;6.30 (5.04)</td>
<td align="center" valign="top">0.21</td>
<td align="center" valign="top">&#x02212;5.55 (4.94)</td>
<td align="center" valign="top">0.26</td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="9"><bold>Genes related to cholesterol management</bold></td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top">APOE polymorphism</td>
<td align="center" valign="top">12.07 (7.14)</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">12.24</td>
<td align="center" valign="top">0.08</td>
<td align="center" valign="top">10.69 (6.13)</td>
<td align="center" valign="top">0.08</td>
<td align="center" valign="top">10.71 (6.06)</td>
<td align="center" valign="top">0.08</td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="9"><bold>LDLR single-nucleotide polymorphisms (SNPs)</bold></td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top">rs6511720 (GG TG TT)</td>
<td align="center" valign="top">&#x02212;21.45 (22.54)</td>
<td align="center" valign="top">0.34</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">&#x02212;25.22 (19.36)</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">NA</td>
</tr>
<tr>
<td align="left" valign="top">rs2228671 (CC TC TT)</td>
<td align="center" valign="top">10.35 (24.0)</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">16.88 (20.62)</td>
<td align="center" valign="top">0.41</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">NA</td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="9"><bold>LRP1 SNPs</bold></td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top">rs11172113 (CC CT TT)</td>
<td align="center" valign="top">&#x02212;22.83 (11.17)</td>
<td align="center" valign="top"><bold>0.04<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;24.6</td>
<td align="center" valign="top"><bold>0.027<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;19.83 (9.59)</td>
<td align="center" valign="top"><bold>0.04<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
<td align="center" valign="top">&#x02212;21.8 (9.46)</td>
<td align="center" valign="top"><bold>0.023<xref ref-type="table-fn" rid="tfn9">&#x0002A;</xref></bold></td>
</tr>
<tr>
<td align="left" valign="top">rs1466535 (CC TC TT)</td>
<td align="center" valign="top">&#x02212;17.91 (12.14)</td>
<td align="center" valign="top">0.14</td>
<td align="center" valign="top">&#x02212;18.76</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">&#x02212;17.22 (10.43)</td>
<td align="center" valign="top">0.10</td>
<td align="center" valign="top">&#x02212;18.26 (10.33)</td>
<td align="center" valign="top">0.08</td>
</tr>
<tr>
<td align="left" valign="top">rs1800127 (CC TC TT)</td>
<td align="center" valign="top">8.48 (19.20)</td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">6.27 (16.49)</td>
<td align="center" valign="top">0.70</td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">NA</td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top" colspan="9"><bold>LRPAP1 SNPs</bold></td>
</tr><tr><td align="left" valign="top" colspan="9"><hr/></td></tr>
<tr>
<td align="left" valign="top">rs11549516 (CC TC TT)</td>
<td align="center" valign="top">36.62 (25.40)</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">40.69</td>
<td align="center" valign="top">0.1</td>
<td align="center" valign="top">37.39 (21.82)</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">42.19 (21.39)</td>
<td align="center" valign="top">0.05</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn5"><p><italic><sup>a</sup>Total-cholesterol: Model I: AIC&#x02009;&#x0003D;&#x02009;1,586.1</italic>.</p></fn>
<fn id="tfn6"><p><italic><sup>b</sup>Total-cholesterol: Model II after model selection: AIC&#x02009;&#x0003D;&#x02009;1,582.1</italic>.</p></fn>
<fn id="tfn7"><p><italic><sup>c</sup>LDL-cholesterol: Model I: AIC&#x02009;&#x0003D;&#x02009;1,537.2</italic>.</p></fn>
<fn id="tfn8"><p><italic><sup>d</sup>LDL-cholesterol: Model II after model selection: AIC&#x02009;&#x0003D;&#x02009;1,533</italic>.</p></fn>
<fn id="tfn9"><p><italic>&#x0002A;Significant based on Wald tests</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>As expected, statin usage was associated significantly with lower total- and LDL-cholesterol levels (Table <xref ref-type="table" rid="T2">2</xref>). Among the genes we investigated, before model selection only LRP1 demonstrated a statistically significant influence on total- and LDL-cholesterol levels (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.04 for both in Model I, and <italic>p</italic>&#x02009;&#x0003D;&#x02009;0.0027 and <italic>p</italic>&#x02009;&#x0003D;&#x02009;0.024 separately in Model II). LDLR SNPs did not significantly impact cholesterol levels and were not selected in Model II after step-wise model selection. There was a trend for APOE polymorphisms to influence both total- and LDL-cholesterol (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.08 and <italic>p</italic>&#x02009;&#x0003D;&#x02009;0.08, respectively), and also a trend of LRPAP1 influencing LDL-cholesterol (<italic>p</italic>&#x02009;&#x0003D;&#x02009;0.05).</p>
</sec>
<sec id="S3-3">
<title>The Causal Effect Analyses of Total- and LDL-Cholesterol Levels on PD Using the Generalized Propensity Score Approach</title>
<p>To assess the causal relationship between cholesterol and PD, a marginal structure model with generalized propensity score approach was adopted. This model can be employed for more general settings than structural equation modeling (SEM) (<xref ref-type="bibr" rid="B33">33</xref>), and more importantly, it involves fewer assumptions than SEM because it targets a particular set of effects of interest, and only makes assumptions needed for those effects (<xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B34">34</xref>&#x02013;<xref ref-type="bibr" rid="B37">37</xref>).</p>
<p>Figure <xref ref-type="fig" rid="F1">1</xref>D shows the boxplot of the IPW for LDL-cholesterol, and there is one extreme weight with a value greater than 10. This extreme value can affect the variance of causal estimates (<xref ref-type="bibr" rid="B38">38</xref>), and thus we shrank it to the 95th quantile as an adjustment for the IPW. Total-cholesterol had two extreme weights greater than 10, and we shrank these two values to the 95th quantile as well.</p>
<p>Both total- and LDL-cholesterol levels were significantly linked to PD occurrence through the generalized propensity score method. The estimates of effects are &#x02212;0.032 (SE: 0.009) with <italic>p</italic>&#x02009;&#x0003C;&#x02009;0.001 for total-cholesterol, and &#x02212;0.016 (SE: 0.008) with <italic>p</italic>&#x02009;&#x0003D;&#x02009;0.04 for LDL-cholesterol, respectively. The odds ratios are 0.97 [95% CI: 0.95, 0.99] and 0.98 [95% CI: 0.97, 0.99] for total- and LDL-cholesterol, respectively.</p>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>Discussion</title>
<p>Despite a growing literature implying that serum/plasma total- and LDL-cholesterol may be linked to PD (<xref ref-type="bibr" rid="B1">1</xref>&#x02013;<xref ref-type="bibr" rid="B12">12</xref>), the cause of the association is not known. In the current study, we applied the generalized propensity score approach to investigate a potential causal relationship between circulating cholesterol levels and PD. SEM is an alternative tool for causal inference, but generalized propensity score with inverse probability of weights is a new class of causal model that can handle more challenges (e.g., time-dependent confounding) with fewer assumptions than SEM. Following the convention in the literature of causal inference (<xref ref-type="bibr" rid="B28">28</xref>), the method accounts for confounding effects through a linear combination of genetic, biological, behavioral, and environmental factors. Due to the small set of genes for consideration, there is no need to conduct a boosting algorithm for propensity score estimation in our case, and we assumed a normal distribution for the multiple linear regressions shown in Figure <xref ref-type="fig" rid="F1">1</xref>A.</p>
<p>We took into consideration age; gender; APOE polymorphisms; LDLR, LRP1, and LRPAP1 SNPs; smoking history; and statin usage in our initial model (Model I) because they are suspected to influence both circulating cholesterol levels and the occurrence of PD. After step-wise model selection, SNPs from LDLR were removed in Model II. The results of these analyses suggest that circulating total- and LDL-cholesterol levels may be linked to the factors influencing PD risk.</p>
<sec id="S4-1">
<title>The Effect of Smoking, Statins, and Cholesterol-Related Genes on Cholesterol Levels</title>
<p>Our analyses, as expected, found that statins lower cholesterol and lower cholesterol (after controlling for statin use) could be a risk factor for PD, in agreement with the large majority of the literature (<xref ref-type="bibr" rid="B1">1</xref>&#x02013;<xref ref-type="bibr" rid="B12">12</xref>). Diabetes may affect lipid levels, and statins have been suggested to be of use in diabetes (<xref ref-type="bibr" rid="B39">39</xref>), but because this is not clearly established, diabetes was not included in our analyses. The literature related to the role of smoking on cholesterol levels has been mixed, with some studies reporting an association, but others not (<xref ref-type="bibr" rid="B40">40</xref>, <xref ref-type="bibr" rid="B41">41</xref>). In our current cohort, history of smoking did not influence cholesterol profiles significantly, although this may have been affected by our categorization of smokers as those who had smoked consistently for six months at any time in their life. The lack of an association of age and cholesterol levels probably resulted from the very narrow age range of the subjects in the study (i.e., PD is a disorder of later life and the controls were age-matched).</p>
<p>The most common allele in APOE, &#x003B5;3, is present in &#x0007E;77% of the population, whereas the least common &#x003B5;2 is represented in only 8%. Individuals with an &#x003B5;2 allele have been known to have a propensity for lower plasma LDL-cholesterol levels, whereas &#x003B5;4 is linked to higher LDL-cholesterol levels (<xref ref-type="bibr" rid="B42">42</xref>). Although &#x003B5;2 is linked to a number of beneficial outcomes in terms of cardiovascular disease and lower risk of AD, some studies (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B20">20</xref>), but not all in others (<xref ref-type="bibr" rid="B43">43</xref>), have associated it with higher risk of PD. Conversely, the &#x003B5;4 allele is associated with poorer cardiovascular disease outcomes and a significantly increased risk of AD (<xref ref-type="bibr" rid="B44">44</xref>, <xref ref-type="bibr" rid="B45">45</xref>), but may be protective and/or associated with lower PD risk (<xref ref-type="bibr" rid="B21">21</xref>). Although there was a trend for APOE to influence cholesterol levels in the current study, the analysis did not reach statistical significance, probably due to the small sample size and the lack of &#x003B5;4 alleles in this cohort. Since the &#x003B5;4 allele occurs in &#x0007E;14% of the general population (<xref ref-type="bibr" rid="B46">46</xref>), it is somewhat remarkable that no subject in the study had an &#x003B5;4 allele. This may be due to the lower occurrence of &#x003B5;4 in PD (<xref ref-type="bibr" rid="B21">21</xref>), and the fact that the Controls, by being &#x0201C;healthy&#x0201D; (i.e., no cardiovascular disease or AD), would tend not to be &#x003B5;4 carriers.</p>
</sec>
<sec id="S4-2">
<title>A Potential Causal Cholesterol&#x02013;PD Link</title>
<p>The current study suggests for the first time that circulating total- and LDL-cholesterol may be linked to the factors influencing PD risk, but it is not informative about the specific mechanism or factor(s) that mediate such a link. Statins have been suggested to be neuroprotective for PD (<xref ref-type="bibr" rid="B47">47</xref>&#x02013;<xref ref-type="bibr" rid="B49">49</xref>). The current study, however, suggested that statins, by lowering cholesterol, actually may be linked to PD risk. Consistent with this latter hypothesis, a prospective study in the Atherosclerosis Risk in Community cohort found that statin usage was associated with increased future risk of PD (<xref ref-type="bibr" rid="B9">9</xref>). Most recently, an analysis of the large MarketScan national claims database found that statins facilitated PD diagnosis (<xref ref-type="bibr" rid="B50">50</xref>). Together, these data suggest caution to proposing statins as being neuroprotective for PD.</p>
<p>The brain is the most cholesterol-rich organ in the body (accounting for &#x0007E;25% of the total amount). In mature brain, cholesterol is synthesized primarily by astrocytes and then transported to neurons <italic>via</italic> endocytosis and interaction with the LDL receptor and apolipoprotein E (<xref ref-type="bibr" rid="B51">51</xref>). There is very limited ability for circulating cholesterol to traverse the blood&#x02013;brain barrier (BBB) (<xref ref-type="bibr" rid="B52">52</xref>). Thus, according to current thinking (<xref ref-type="bibr" rid="B53">53</xref>), brain cholesterol is made mainly de novo, and central nervous system (CNS) and plasma compartments generally do not communicate (<xref ref-type="bibr" rid="B54">54</xref>). There is, however, evidence for the uptake of LDL particles and other apolipoproteins across the BBB, possibly <italic>via</italic> the LDLR and/or LDLR-related proteins, and oxysterols also may mediate peripheral-central cholesterol communication (<xref ref-type="bibr" rid="B55">55</xref>).</p>
<p>Genetic defects in cholesterol metabolism (i.e., lipoprotein receptors, cholesterol biosynthesis, lipid transport and assembly, or signaling molecules) may lead to structural and functional CNS diseases (<xref ref-type="bibr" rid="B53">53</xref>), and many cholesterol metabolites are centrally active (<xref ref-type="bibr" rid="B56">56</xref>). Cholesterol synthesis in CNS can be regulated by the APOE-mediated uptake of lipoproteins via the LDLR family of proteins. After synthesized cholesterol is delivered to neurons, it is bound by cell surface lipoprotein receptors such as the LDLR receptor and the LDLR-related protein (LRP1) that recognize APOE prior to endocytosis.</p>
<p>It is also possible that LRP1 mediates a compensatory response to neural stress and elicits a parallel change in LDL particles and other apolipoproteins across the BBB <italic>via</italic> the LRP receptor. MPTP lesions increase both APOE and its receptors (LDLR and LRP) in brain (<xref ref-type="bibr" rid="B23">23</xref>). APOE and LRPAP1 SNPs are associated significantly with increased PD risk, and high levels of LDL-cholesterol appear to have a protective role against PD (<xref ref-type="bibr" rid="B22">22</xref>). Consistent with this notion, our results showed that the LDLR-related gene LRP1 had a significant influence on circulating total- and LDL-cholesterol levels. These lines of evidence may seem paradoxical, but can be reconciled. The synthesis of cholesterol, its oxidation products, and APOE are increased in response to neural cell injury, thus an increase in brain cholesterol and CSF levels of LRP1 could be compensatory responses to neural stress.</p>
</sec>
<sec id="S4-3">
<title>Limitations and Future Directions</title>
<p>There are 152 cholesterol-related genes and more than 3,000 SNPs covered in the NeuroX array based on plasma lipid studies in coronary artery disease (<xref ref-type="bibr" rid="B26">26</xref>). In the current study, we investigated only four genetic polymorphisms potentially linked to both cholesterol profiles and neurodegenerative processes (<xref ref-type="bibr" rid="B18">18</xref>). As such, further studies in larger samples are needed to investigate other potentially important cholesterol-related genes and SNPs that also may be involved in neurodegenerative processes. Although our study suggested a potential causal link between circulating cholesterol and PD, there are no clear mechanistic explanations for this finding. Future studies are needed to provide mechanistic understanding and shall include a revisit of the presumed segregation of peripheral and central cholesterol, especially in pathological states and/or aging.</p>
</sec>
</sec>
<sec id="S5">
<title>Ethics Statement</title>
<p>This study was carried out in accordance with the recommendations of XH&#x02019;s NIH PD Biomarkers Program at the Penn State site, with written informed consent from all subjects. All subjects gave written informed consent in accordance with the Declaration of Helsinki. The protocol was approved by the Penn State Hershey Institutional Review Board.</p>
</sec>
<sec id="S6" sec-type="author-contributor">
<title>Author Contributions</title>
<p>LZ: organization, execution of the project; statistical design and execution; writing of the first draft; and review and critique of the manuscript. XW: statistical design and execution, and review and critique of the manuscript; MW: review of statistical design and review and critique of the manuscript. NS: organization of the project and review and critique of the manuscript. GD: organization of the project; review and critique of the statistical design; and critique of the manuscript. ML: organization of the project and extensive review and critique of the manuscript. TY: execution of the project; statistical design and execution; and review and critique of the manuscript. RM: review of statistical design and extensive review and critique of the manuscript. RL: conception, statistical design and execution, and review and critique of the manuscript; XH: conception, organization, execution, obtaining funding of the project; review of the statistical design; writing of the first draft; and review and critique of the manuscript.</p>
</sec>
<sec id="S7">
<title>Conflict of Interest Statement</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. The reviewer PV-C and handling editor declared their shared affiliation.</p>
</sec>
</body>
<back>
<ack>
<p>We express gratitude to all of the participants who volunteered for this study and study personnel who contributed to its success. This work was supported in part by the National Institute of Neurological Disease and Stroke (NS060722 and NS082151 to XH), NIDA (P50 DA039838, and P50 DA036107 to RL), NSF (DMS1512422 to RL), the Hershey Medical Center General Clinical Research Center (C06 RR016499, UL1 TR000127 to XH), the PA Department of Health Tobacco CURE Funds, and the Penn State University CTSI Big Grant RFA (UL TR000127 to LZ). All analyses, interpretations, and conclusions are those of the authors and not the research sponsors.</p>
</ack>
<sec id="S8">
<title>Abbreviations</title>
<p>APOE, apolipoprotein E gene; CNS, central nervous system; LDLR, low-density lipoprotein receptor gene; LDLR1, low-density lipoprotein receptor related protein 1 gene; LRPAP1, low-density lipoprotein-related protein-associated protein 1 gene; BBB, blood&#x02013;brain barrier.</p>
</sec>
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