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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Pharmacol.</journal-id>
<journal-title>Frontiers in Pharmacology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Pharmacol.</abbrev-journal-title>
<issn pub-type="epub">1663-9812</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">749786</article-id>
<article-id pub-id-type="doi">10.3389/fphar.2021.749786</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Pharmacology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Machine Learning for Prediction of Stable Warfarin Dose in US Latinos and Latin Americans</article-title>
<alt-title alt-title-type="left-running-head">Steiner et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Machine Learning: Warfarin Dose Prediction</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Steiner</surname>
<given-names>Heidi E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1369018/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Giles</surname>
<given-names>Jason B.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Patterson</surname>
<given-names>Hayley Knight</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Feng</surname>
<given-names>Jianglin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>El Rouby</surname>
<given-names>Nihal</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Claudio</surname>
<given-names>Karla</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Marcatto</surname>
<given-names>Leiliane Rodrigues</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tavares</surname>
<given-names>Leticia Camargo</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="https://loop.frontiersin.org/people/562211/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Galvez</surname>
<given-names>Jubby Marcela</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/960309/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Calderon-Ospina</surname>
<given-names>Carlos-Alberto</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/887831/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Xiaoxiao</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/183388/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hutz</surname>
<given-names>Mara H.</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/17242/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Scott</surname>
<given-names>Stuart A.</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/67022/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cavallari</surname>
<given-names>Larisa H.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/545250/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fonseca-Mendoza</surname>
<given-names>Dora Janeth</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/779765/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Duconge</surname>
<given-names>Jorge</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/422193/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Botton</surname>
<given-names>Mariana Rodrigues</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<xref ref-type="aff" rid="aff10">
<sup>10</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/812544/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Santos</surname>
<given-names>Paulo Caleb Junior Lima</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff11">
<sup>11</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/765720/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Karnes</surname>
<given-names>Jason H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff12">
<sup>12</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/361356/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Department of Pharmacy Practice and Science, University of Arizona College of Pharmacy, <addr-line>Tucson</addr-line>, <addr-line>AZ</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Department of Pharmacotherapy and Translational Research and Center for Pharmacogenomics and Precision Medicine, University of Florida College of Pharmacy, <addr-line>Gainesville</addr-line>, <addr-line>FL</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>Department of Pharmaceutical Sciences, University of Puerto Rico School of Pharmacy, Medical Sciences Campus, <addr-line>San Juan</addr-line>, <addr-line>PR</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff4">
<label>
<sup>4</sup>
</label>Instituto do Coracao do Hospital das Clinicas da Faculdade de Medicina, HCFMUSP, University of S&#xe3;o Paulo, <addr-line>S&#xe3;o Paulo</addr-line>, <country>Brazil</country>
</aff>
<aff id="aff5">
<label>
<sup>5</sup>
</label>Faculty of Science, School of Biological Sciences, Monash University, <addr-line>Melbourne</addr-line>, <addr-line>VIC</addr-line>, <country>Australia</country>
</aff>
<aff id="aff6">
<label>
<sup>6</sup>
</label>Center for Research in Genetics and Genomics&#x2013;CIGGUR, GENIUROS Research Group, School of Medicine and Health Sciences, Universidad Del Rosario, <addr-line>Bogot&#xe1;</addr-line>, <country>Colombia</country>
</aff>
<aff id="aff7">
<label>
<sup>7</sup>
</label>Department of Epidemiology Biostatistics, University of Arizona College of Public Health, <addr-line>Tucson</addr-line>, <addr-line>AZ</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff8">
<label>
<sup>8</sup>
</label>Departament of Genetics, Universidade Federal do Rio Grande do Sul, <addr-line>Porto Alegre</addr-line>, <country>Brazil</country>
</aff>
<aff id="aff9">
<label>
<sup>9</sup>
</label>Department of Pathology, Stanford University, Clinical Genomics Laboratory, Stanford Health Care, <addr-line>Palo Alto</addr-line>, <addr-line>CA</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff10">
<label>
<sup>10</sup>
</label>Cells, Tissues and Genes Laboratory, Hospital de Cl&#xed;nicas de Porto Alegre, <addr-line>Porto Alegre</addr-line>, <country>Brazil</country>
</aff>
<aff id="aff11">
<label>
<sup>11</sup>
</label>Department of Pharmacology, Escola Paulista de Medicina, Universidade Federal de S&#xe3;o Paulo, EPM-Unifesp, <addr-line>S&#xe3;o Paulo</addr-line>, <country>Brazil</country>
</aff>
<aff id="aff12">
<label>
<sup>12</sup>
</label>Department of Biomedical Informatics, Vanderbilt University Medical Center, <addr-line>Nashville</addr-line>, <addr-line>TN</addr-line>, <country>United&#x20;States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/30782/overview">Elena Garc&#xed;a-Mart&#xed;n</ext-link>, University of Extremadura, Spain</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/431725/overview">Volker Martin Lauschke</ext-link>, Karolinska Institutet (KI), Sweden</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/62487/overview">Benjamin D. Horne</ext-link>, Intermountain Healthcare, United&#x20;States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jason H. Karnes, <email>karnes@pharmacy.arizona.edu</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Pharmacogenetics and Pharmacogenomics, a section of the journal Frontiers in Pharmacology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>10</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>749786</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>09</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Steiner, Giles, Patterson, Feng, El Rouby, Claudio, Marcatto, Tavares, Galvez, Calderon-Ospina, Sun, Hutz, Scott, Cavallari, Fonseca-Mendoza, Duconge, Botton, Santos and Karnes.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Steiner, Giles, Patterson, Feng, El Rouby, Claudio, Marcatto, Tavares, Galvez, Calderon-Ospina, Sun, Hutz, Scott, Cavallari, Fonseca-Mendoza, Duconge, Botton, Santos and Karnes</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Populations used to create warfarin dose prediction algorithms largely lacked participants reporting Hispanic or Latino ethnicity. While previous research suggests nonlinear modeling improves warfarin dose prediction, this research has mainly focused on populations with primarily European ancestry. We compare the accuracy of stable warfarin dose prediction using linear and nonlinear machine learning models in a large cohort enriched for US Latinos and Latin Americans (ULLA). Each model was tested using the same variables as published by the International Warfarin Pharmacogenetics Consortium (IWPC) and using an expanded set of variables including ethnicity and warfarin indication. We utilized a multiple linear regression model and three nonlinear regression models: Bayesian Additive Regression Trees, Multivariate Adaptive Regression Splines, and Support Vector Regression. We compared each model&#x2019;s ability to predict stable warfarin dose within 20% of actual stable dose, confirming trained models in a 30% testing dataset with 100 rounds of resampling. In all patients (<italic>n</italic>&#x20;&#x3d; 7,030), inclusion of additional predictor variables led to a small but significant improvement in prediction of dose relative to the IWPC algorithm (47.8 versus 46.7% in IWPC, <italic>p</italic>&#x20;&#x3d; 1.43 &#xd7; 10<sup>&#x2212;15</sup>). Nonlinear models using IWPC variables did not significantly improve prediction of dose over the linear IWPC algorithm. In ULLA patients alone (<italic>n</italic>&#x20;&#x3d; 1,734), IWPC performed similarly to all other linear and nonlinear pharmacogenetic algorithms. Our results reinforce the validity of IWPC in a large, ethnically diverse population and suggest that additional variables that capture warfarin dose variability may improve warfarin dose prediction algorithms.</p>
</abstract>
<kwd-group>
<kwd>pharmacogenetics</kwd>
<kwd>machine learning</kwd>
<kwd>anticoagulant</kwd>
<kwd>warfarin</kwd>
<kwd>Latino</kwd>
<kwd>Hispanic</kwd>
</kwd-group>
<contract-num rid="cn001">K01HL143137</contract-num>
<contract-sponsor id="cn001">National Institutes of Health<named-content content-type="fundref-id">10.13039/100000002</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Despite the availability of direct oral anticoagulants (DOACs), warfarin remains a commonly prescribed drug in the United&#x20;States and Latin America. Although a highly effective anticoagulant, warfarin&#x2019;s small therapeutic window and high inter-patient dose variability make it a leading cause of adverse drug events. While warfarin use may decline due to the requirement for regular clinical monitoring, a significant proportion of the population is likely to continue warfarin use preferentially over use of DOACs. Clinical concerns with DOACs continue to limit their use, including fewer indications&#x20;than warfarin, concerns about bleeding risk and renal function, availability and cost of reversal agents, and contraindication in valvular heart disease (<xref ref-type="bibr" rid="B30">Nielsen et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B40">Verdecchia et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B27">Mendoza-Sanchez et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B41">Vinogradova et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B51">Zhu et&#x20;al., 2018</xref>). This is especially true&#x20;for medically underserved patients, including US Latino and Latin American (ULLA) patients, who may have access barriers&#x20;to newer agents because of high costs and copays(<xref ref-type="bibr" rid="B23">Kirley et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B36">Shahin and Giacomini, 2020</xref>). Given the long track record of warfarin use in clinical practice, its affordable cost, and limited clinical utility of DOACs in special populations, warfarin is likely to continue to be preferentially used over DOACs in a substantial proportion of the population(<xref ref-type="bibr" rid="B37">Shahin et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B4">Barnes et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B2">Arwood et&#x20;al., 2017</xref>).</p>
<p>In order to reduce warfarin-associated adverse drug events, warfarin stable dose prediction algorithms have been developed that incorporate clinical and genetic factors(<xref ref-type="bibr" rid="B11">Gage et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B5">Botton et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B14">Grossi et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B1">Alzubiedi and Saleh, 2016</xref>). Variables used in dose prediction algorithms account for&#x20;approximately 50% of the variability in warfarin dose. However, these models, such as the International Warfarin Pharmacogenetics Consortium model (IWPC), were derived from populations with largely white participants and very small ULLA populations, including less than 1% ULLA in the IWPC cohort (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). Thus, it is possible that variability in warfarin stable dose requirements in ULLA patients may not be accurately modelled in commonly-used dose prediction algorithms, making these models potentially less effective for these patients(<xref ref-type="bibr" rid="B22">Kimmel et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B10">French et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B18">Johnson et&#x20;al., 2017</xref>). This is particularly concerning since medically underserved patients, including disproportionately high ULLA patients, are at high risk for poor outcomes during warfarin treatment (<xref ref-type="bibr" rid="B45">White et&#x20;al., 2006</xref>; <xref ref-type="bibr" rid="B38">Shen et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B48">Writing Group Members et&#x20;al., 2016</xref>). Warfarin dosing in ULLA populations, which can have a mosaic-like ancestry that is admixed with the genomes of European, African, and Native American ancestors, (<xref ref-type="bibr" rid="B44">Wang et&#x20;al., 2008</xref>) may be improved by developing algorithms trained with data from ULLA patients (<xref ref-type="bibr" rid="B21">Kaye et&#x20;al., 2017</xref>). Recommended warfarin stable dose algorithms are based on multiple linear regression models(<xref ref-type="bibr" rid="B18">Johnson et&#x20;al., 2017</xref>). Given that the relationship between warfarin dose and predictor variables is complex, nonlinear modeling strategies have been tested in warfarin dose prediction(<xref ref-type="bibr" rid="B14">Grossi et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B25">Liu et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B33">Roche-Lima et&#x20;al., 2020</xref>). Non-parametric machine learning models are potentially powerful alternatives to linear parametric models in that they lack many of the assumptions of linear regression and they are flexible enough to fit virtually any curve in the data. However, the term machine learning technically applies to all models used in this analysis. The main aims of this study were to determine the validity of IWPC in ULLA patients and to apply machine learning to assess the accuracy of warfarin dose prediction with the published IWPC algorithm, a novel linear model, and three types of nonlinear models.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>Methods</title>
<sec id="s2-1">
<title>Study Populations</title>
<p>We analyzed publicly available data from IWPC combined with&#x20;multiple cohorts of ULLA patients treated with stable doses of warfarin, creating a large ethnically diverse population. First, we&#x20;obtained IWPC open access data from The Pharmacogenomics Knowledgebase (PharmGKB) website (<ext-link ext-link-type="uri" xlink:href="https://www.pharmgkb.org/downloads">https://www.pharmgkb.org/downloads</ext-link>, accessed December 2020), which contains data&#x20;on 5,700 warfarin users recruited through 22 collaborative research groups from four continents (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). The IWPC cohort has been previously described in detail&#x20;(<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). The dataset contains detailed de-identified, curated&#x20;data on demographics, clinical features, and genotypes for single nucleotide polymorphisms (SNPs) in <italic>CYP2C9</italic> and <italic>VKORC1</italic>.</p>
<p>In this study, all ULLA patients self-reported Hispanic or Latino ethnicity or were recruited in a Latin American country. Herein, Hispanic ethnicity is used to refer to an individual with Spanish-speaking culture or origin and Latino ethnicity is used to refer to an individual with culture or origin from a Latin American country. Hispanic and Latino ethnicities are not mutually exclusive and are self-reported regardless of race. We chose the term ULLA to be inclusive of study participants who are not currently residing in Latin America (i.e.,&#x20;may not identify as Latin American), who are not Spanish speaking (i.e.,&#x20;do not identify as Hispanic), and who do not follow U.S. social constructs (i.e.,&#x20;may not identify as ethnically Hispanic/Latino). In addition to patients self-reporting as ULLA, patients also self-reported Black or White race. Given the incredible diversity within ULLA patients, statistical methods described below also included evaluation of the influence of self-reported race, as well as country of enrollment, within the ULLA cohort.</p>
<p>The cohort of ULLA patients comprised 1,757&#x20;warfarin-treated patients with Hispanic or Latino ethnicity recruited through research groups in North and South America. Each of the cohorts have been previously described (<xref ref-type="bibr" rid="B31">Perini et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B26">Lubitz et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B5">Botton et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B6">Bress et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B35">Santos et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B8">Duconge et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B12">Galvez et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B9">El Rouby et&#x20;al., 2020</xref>). Data for a total of 411&#x20;self-reported Latinos were collected in North America, consisting of participant data from the University of Arizona (<italic>n</italic>&#x20;&#x3d; 76), University of Illinois at Chicago (<italic>n</italic>&#x20;&#x3d; 54), University of Puerto Rico (<italic>n</italic>&#x20;&#x3d; 260), and Icahn School of Medicine at Mount Sinai (<italic>n</italic>&#x20;&#x3d; 21). The South American cohorts were enrolled in Brazil from the University of S&#xe3;o Paulo (<italic>n</italic>&#x20;&#x3d; 663) and Federal University of Rio Grande do Sul (<italic>n</italic>&#x20;&#x3d; 533) and in Colombia from the Hospital Universitario Mayor in Bogot&#xe1; (<italic>n</italic>&#x20;&#x3d; 150). All participants were recruited while taking a stable dose of warfarin, defined as taking a consistent warfarin dose for two or more visits and achieving in target International Normalized Ratio (INR) range at both visits. DNA isolation and genotyping, which included <italic>VKORC1</italic> c.-1639G&#x3e;A (rs9923231), <italic>CYP2C9&#x2a;2</italic> (p.R144C, rs1799853), and <italic>CYP2C9&#x2a;3</italic> (p.I359L, rs1057910), were performed for each cohort individually as previously described (<xref ref-type="bibr" rid="B12">Galvez et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B9">El Rouby et&#x20;al., 2020</xref>). Patients were &#x2265;18&#xa0;years of age and provided written informed consent for collection of their clinical data and either a venous blood or mouthwash sample&#x20;for genetic analysis. The clinical studies associated with all sites for the ULLA cohort obtained Ethical and Human Subjects approvals from each organization&#x2019;s Institutional Review Board. For ULLA data, please contact <email>karnes@pharmacy.arizona.edu</email>.</p>
</sec>
<sec id="s2-2">
<title>Statistical Analyses</title>
<p>Demographic characteristics were compared between IWPC and ULLA cohorts using the tableone R package version 0.12.0 (<xref ref-type="bibr" rid="B49">Yoshida and Bartel, 2020</xref>). Prior to analysis, we excluded participants: 1) who did not reach a stable dose, 2) with a weekly dose of over 175&#xa0;mg or under 7&#xa0;mg, 3) those with missing gender or age data, 4) with height above 200&#xa0;cm or under 130&#xa0;cm, and 5) with weight above 150&#xa0;kg or under 35&#xa0;kg, to account for biologically implausible or unlikely values. In the IWPC cohort, a target INR range of 2&#x2013;3 was implemented. We derived and imputed variables with missing data for each of the datasets using packages and functions available in tidyverse in R version 1.3.0 (<xref ref-type="bibr" rid="B46">Wickham et&#x20;al., 2019</xref>). Allele frequencies for the genetic locations were testing for Hardy-Weinberg Equilibrium using the HWChisq test in the HardyWeinberg package version 1.7.2 (<xref ref-type="bibr" rid="B13">Graffelman, 2015</xref>).</p>
<p>In order to address missing data, we imputed or derived missing values following the dataset curation steps described in the <xref ref-type="sec" rid="s11">Supplementary Materials</xref> (<xref ref-type="sec" rid="s12">Supplementary Methods</xref> and <xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). We curated two additional Merged datasets for sensitivity analyses to assess any impact of data curation/imputation on our results. First, we imputed missing values using Multivariate Imputation by Chained Equations with default parameters for diabetes status, statin use, smoking status and aspirin use implemented with the mice package version 3.13.0 (<xref ref-type="bibr" rid="B28">Mera-Gaona et&#x20;al., 2021</xref>). MICE imputes missing values with plausible data values drawn from a distribution specifically designed for each missing datapoint. Second, we performed a complete-case analysis, including only participants with all required data and without imputation. Detailed descriptions of data curation and imputation are available in the <xref ref-type="sec" rid="s11">Supplementary Materials</xref>.</p>
<sec id="s2-2-1">
<title>Dose Prediction Algorithm Development</title>
<p>Analyses presented in this study are based on the IWPC model, a novel multiple linear regression model termed the novel linear model (NLM), and three nonlinear regression models: Bayesian Additive Regression Trees (BART), Multivariate Adaptive Regression Splines (MARS), and Support Vector Regression (SVR). Model descriptions are available in <xref ref-type="sec" rid="s11">Supplementary Methods</xref>. First, we reproduced the IWPC analysis with a multiple linear regression model using estimated coefficients derived from the published IWPC model (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>). (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>) Second, we predicted dose using the same variables included in the IWPC model but newly trained in the respective cohorts (IWPCV). Thus, the only difference between the IWPC and IWPCV models are the estimated coefficients. We then predicted dose with IWPC variables using the nonlinear methods described above with SVR (IWPC SVR), MARS (IWPC MARS), and BART (IWPC BART). This set of nonlinear models tested the improvement of warfarin dose prediction over IWPC by nonlinear modeling alone. All IWPC models included the variables age, height, weight, genotypes at <italic>CYP2C9</italic> and <italic>VKORC1</italic>, race, amiodarone use, and enzyme inducer use. Next, we created the NLM, including additional predictor variables collected at all study sites (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). Finally, we fit another SVR, MARS, and BART using all available variables. The NLM and final three non-linear models (BART, MARS, SVR) included the IWPC variables and the additional variables gender, warfarin indication, statin use, aspirin use, smoking status, history of diabetes, and self-reported ethnicity. In analyses restricted to the ULLA cohort, country of enrollment was also included. All models were fit using the functions outlined below under default parameters using R version 4.0.2 (<xref ref-type="bibr" rid="B32">R Core Team, 2020</xref>). We used the <italic>lm</italic> function in the stats R package version 4.0.2 (<xref ref-type="bibr" rid="B32">R Core Team, 2020</xref>) to fit linear regression models and generate parameter estimates and standard errors, the <italic>bartMachine</italic> function in the bartMachine package version 1.2.5.1 (<xref ref-type="bibr" rid="B19">Kapelner and Bleich, 2016</xref>) for BART models, the <italic>train</italic> function in the caret package version 6.0-86 (<xref ref-type="bibr" rid="B24">Kuhn, 2020</xref>) using the &#x201c;earth&#x201d; method of the earth package version 5.2.0 (<xref ref-type="bibr" rid="B15">Hastie and wrapper, 2020</xref>) for MARS models, and the <italic>svm</italic> function in the e1071 package version 1.7-3 (<xref ref-type="bibr" rid="B29">Meyer et&#x20;al., 2019</xref>) for SVR models. Finally, we estimated variable importance with partial R<sup>2</sup> values of NLM variables with the <italic>rsq.partial</italic> function in the rsq package version 2.1(<xref ref-type="bibr" rid="B50">Zhang, 2020</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Dose Prediction Algorithm Creation and Testing. International Warfarin Pharmacogenetics Consortium (IWPC) data and data from US Latinos and Latin Americans (ULLA) were used for prediction independently and merged to test a combined sample. Linear and nonlinear models were fit with IWPC model variables and a set of extended variables in addition to IWPC predictors after a 70/30&#x20;training-testing split. All models were assessed for their ability to predict dose within 20% of actual. 100 replicates were performed from data splitting to model assessment.</p>
</caption>
<graphic xlink:href="fphar-12-749786-g001.tif"/>
</fig>
</sec>
<sec id="s2-2-2">
<title>Dose Prediction Algorithm Assessment</title>
<p>We applied a square root transformation on weekly warfarin dose when fitting all the models. The primary outcome used to assess model performance was the proportion of patients whose predicted dose was within 20% of their actual stable dose, which represents a clinically relevant difference of 1&#xa0;mg per day (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). Prior to fitting each replicate within each model, we assigned individuals in each cohort to training and testing datasets. We randomly selected, using a simple random sampling method, 70% among the patients as the training cohort to develop dose-prediction algorithms. The remaining 30% of the patients constituted the testing cohort. Models fit using the training dataset were used to predict values in the training and testing datasets. Estimates of mean absolute error (MAE) and the percentage of individuals predicted within 20% of their actual dose for each model were therefore based on both the training and the testing data. The MAE is the average of the absolute value of predicted dose minus the actual dose, and models with lower MAE tend to better predict the warfarin dose (<xref ref-type="bibr" rid="B47">Willmott and Matsuura, 2005</xref>). Uncertainty in model performance was derived from a total of 100 replicates including random resampling of training and testing datasets. Based on all 100 replicates analyzed within each of the models, we estimated the mean and corresponding 95% confidence intervals on MAE and the percentage within 20%. We fit a Friedman test to detect differences in median percentage within 20% across all models using the <italic>friedman_test</italic> function in the rstatix R package version 0.6.0 (<xref ref-type="bibr" rid="B20">Kassambara, 2020</xref>). Each linear model&#x2019;s estimates and standard errors were surveyed from the 50th replicate to maintain consistency in the training/testing data. Finally, we used pairwise Wilcoxon signed-rank tests for paired data to examine whether pairs of models differ in their median proportions within 20% of actual and MAE. We implemented Wilcoxon signed-rank tests using the <italic>wilcox_test</italic> function again in the rstatix R package. All pairwise <italic>p</italic>-values were Bonferroni adjusted to correct for multiple comparisons. The R code associated with the project can be found at <ext-link ext-link-type="uri" xlink:href="https://github.com/karneslab/warfarin-machinelearning">https://github.com/karneslab/warfarin-machinelearning</ext-link>.</p>
</sec>
<sec id="s2-2-3">
<title>Subgroup Dose Prediction</title>
<p>We explored differences in model performance between subgroups based on actual-dose group, race, and country of enrollment for the ULLA cohort. First, we calculated MAE and percentage within 20% by actual-dose groups: high (&#x3e;49&#xa0;mg/week), intermediate, and low (&#x2264;21&#xa0;mg/week). Next, we sought to investigate the validity of utilizing a clinical algorithm without pharmacogenetic variation as suggested by the Clinical Pharmacogenetics Implementation Consortium (CPIC) in patients with self-reported African ancestry who do not have genetic information available for <italic>CYP2C9&#x2a;5,&#x2a;6,&#x2a;8</italic>, and <italic>&#x2a;11</italic> (<xref ref-type="bibr" rid="B18">Johnson et&#x20;al., 2017</xref>). Thus, the IWPC clinical model, which does not include pharmacogenetic variation, was also used to predict dose in subgroup analyses by race and country of enrollment (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). Next, we evaluated percentage of participants predicted within 20% of actual by race groups. Patients self-reported Black or White race, or were imputed as &#x201c;Mixed/Missing&#x201d;. Finally, we examined differences in percentage within 20% and MAE by country/territory of enrollment (i.e. Brazil, Colombia, Puerto Rico, and continental United&#x20;States) for each of the models.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec id="s3-1">
<title>Characteristics of Study Populations</title>
<p>Participants were removed from the PharmGKB IWPC dataset (<italic>n</italic>&#x20;&#x3d; 651) when they were outside the target INR range, not on a stable dose of warfarin, missing age and gender data, or were outside the range of inclusion for warfarin stable dose, weight, or height, leaving a total of 5,049 participants. In the ULLA cohort, we excluded 23 patients for a total of 1,734 study participants. To form the merged cohort we removed target INR restrictions and thus fewer (<italic>n</italic>&#x20;&#x3d; 404) patients were excluded from IWPC due to missing data or outlying dose, for a total of 7,030 warfarin users in the Merged cohort.</p>
<p>The characteristics of the IWPC and ULLA cohorts are outlined in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. The median (interquartile range [IQR]) weekly warfarin dose (mg) was lower in the IWPC cohort (28.00 [95% Confidence Interval (95%CI) 19.25&#x2013;38.50] mg/week) than the ULLA cohort (30.00 [95%CI 22.50&#x2013;37.50] mg/week, <italic>p</italic>&#x20;&#x3c;0.001). A small minority (2.4%) of participants in IWPC were carriers of two variant <italic>CYP2C9</italic> alleles. The majority (73.6%) of the participants had no variation in <italic>CYP2C9&#x2a;2</italic> or <italic>CYP2C9&#x2a;3.</italic> In the ULLA cohort, 2.4% of the population carried two copies of variant <italic>CYP2C9</italic> alleles, while 79.8% had no variation in <italic>CYP2C9&#x2a;2</italic> or <italic>CYP2C9&#x2a;3</italic>. The <italic>VKORC1-</italic>1639G&#x3e;<italic>A</italic> A allele frequency was 51.4% (AA: 32.5%, GA: 35.8%) in the IWPC cohort and 35.2% (AA: 12.5%, GA: 44.9%) in the ULLA. The IWPC cohort included less than 1% participants reporting Hispanic or Latino ancestry. Alternatively, the ULLA cohort by design was composed of 100% Hispanic or Latino reporting individuals. Demographic and genotype characteristics for the Merged cohort can be found in <xref ref-type="sec" rid="s11">Supplementary Table&#x20;S2</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Subject Characteristics in IWPC and ULLA cohorts.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Characteristic</th>
<th align="center">IWPC (<italic>n</italic>&#x20;&#x3d; 5,049)</th>
<th align="center">ULLA (n&#x20;&#x3d;&#x20;1,734)</th>
<th align="center">
<italic>P</italic>-Value<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Age, years (mean (SD))</td>
<td align="char" char=".">59.8 (14.5)</td>
<td align="char" char=".">59.7 (13.8)</td>
<td align="char" char=".">0.917</td>
</tr>
<tr>
<td align="left">Height, cm (median [IQR])</td>
<td align="char" char=".">166.88 (160.02&#x2013;176.02)</td>
<td align="char" char=".">166.00 (160.00, 172.72)</td>
<td align="char" char=".">&#x3c;0.001</td>
</tr>
<tr>
<td align="left">Weight, kg (median [IQR])</td>
<td align="char" char=".">75.40 (62.27&#x2013;89.70)</td>
<td align="char" char=".">75.00 (65.00, 85.00)</td>
<td align="char" char=".">0.476</td>
</tr>
<tr>
<td align="left">Weekly Warfarin Dose, mg (median [IQR])</td>
<td align="char" char=".">28.00 (19.25&#x2013;38.50)</td>
<td align="char" char=".">30.00 (22.50, 37.50)</td>
<td align="char" char=".">&#x3c;0.001</td>
</tr>
<tr>
<td align="left">
<italic>CYP2C9</italic> Diplotype (<italic>n</italic>, [%])<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">&#x3c;0.001</td>
</tr>
<tr>
<td align="left">&#x2003;&#x2a;1/&#x2a;1</td>
<td align="char" char=".">3717 (73.6)</td>
<td align="char" char=".">1384 (79.8)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;&#x2a;1/&#x2a;2</td>
<td align="char" char=".">650 (12.9)</td>
<td align="char" char=".">198 (11.4)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;&#x2a;1/&#x2a;3</td>
<td align="char" char=".">450 (8.9)</td>
<td align="char" char=".">83 (4.8)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;&#x2a;2/&#x2a;2</td>
<td align="char" char=".">46 (0.9)</td>
<td align="char" char=".">24 (1.4)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;&#x2a;2/&#x2a;3</td>
<td align="char" char=".">62 (1.2)</td>
<td align="char" char=".">13 (0.7)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;&#x2a;3/&#x2a;3</td>
<td align="char" char=".">16 (0.3)</td>
<td align="char" char=".">4 (0.2)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Missing</td>
<td align="char" char=".">108 (2.1)</td>
<td align="char" char=".">28 (1.6)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<italic>VKORC1</italic> -1639&#xa0;G&#x3e;A Genotype (<italic>n</italic> [%])<xref ref-type="table-fn" rid="Tfn3">
<sup>c</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">&#x3c;0.001</td>
</tr>
<tr>
<td align="left">&#x2003;GG</td>
<td align="char" char=".">1503 (29.8)</td>
<td align="char" char=".">729 (42.0)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;AG</td>
<td align="char" char=".">1806 (35.8)</td>
<td align="char" char=".">778 (44.9)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;AA</td>
<td align="char" char=".">1639 (32.5)</td>
<td align="char" char=".">217 (12.5)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Missing</td>
<td align="char" char=".">101 (2.0)</td>
<td align="char" char=".">10 (0.6)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Race (n [%])<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">&#x3c;0.001</td>
</tr>
<tr>
<td align="left">&#x2003;White</td>
<td align="char" char=".">2794 (55.3)</td>
<td align="char" char=".">1153 (66.5)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Asian</td>
<td align="char" char=".">1527 (30.2)</td>
<td align="char" char=".">0 (0.0)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Black or African American</td>
<td align="char" char=".">451 (8.9)</td>
<td align="char" char=".">292 (16.8)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Mixed or Missing<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</td>
<td align="char" char=".">277 (5.5)</td>
<td align="char" char=".">289 (16.7)</td>
<td align="left"/>
</tr>
<tr>
<td colspan="2" align="left">Ethnicity (<italic>n</italic> [%])</td>
<td align="left"/>
<td align="char" char=".">&#x3c;0.001</td>
</tr>
<tr>
<td align="left">&#x2003;Hispanic or Latino</td>
<td align="char" char=".">35 (0.7)</td>
<td align="char" char=".">1734 (100.0)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;not Hispanic or Latino</td>
<td align="char" char=".">4139 (82.0)</td>
<td align="char" char=".">0 (0.0)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Unknown</td>
<td align="char" char=".">875 (17.3)</td>
<td align="char" char=".">0 (0.0)</td>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>IWPC indicates International Warfarin Pharmacogenetics Consortium cohort; ULLA, US Latino and Latin American cohort; SD, standard deviation; IQR, interquartile range; cm, centimeters; kg, kilograms; mg, milligrams.</p>
</fn>
<fn id="Tfn1">
<label>a</label>
<p>
<italic>p</italic> values were calculated using a chi Square test for categorical variables, ANOVA for continuous variables and Wilcoxon rank sum test for non-normal continuous variables.</p>
</fn>
<fn id="Tfn2">
<label>b</label>
<p>
<italic>CYP2C9</italic> alleles &#x2a;5, &#x2a;6, &#x2a;13, &#x2a;14 were collapsed into &#x2a;3 and &#x2a;11 to &#x2a;2, consistent with Klein et&#x20;al.</p>
</fn>
<fn id="Tfn3">
<label>c</label>
<p>
<italic>VKORC1</italic> 1639&#xa0;G&#x3e;A (rs9923231) rs2359612, rs9934438, rs8050894 were used as tagSNPs where rs9923231 was missing.</p>
</fn>
<fn id="Tfn4">
<label>d</label>
<p>Native American race was collapsed into &#x201c;Mixed or Missing.&#x201d;</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>Comparison of Predictive Algorithms</title>
<p>In the IWPC cohort (<italic>n</italic>&#x20;&#x3d; 5,049), the most accurate model in terms of patients predicted within 20% of actual stable dose in the testing data was the novel NLM (47.4%) and the least accurate model was IWPC MARS (45.6%) (<xref ref-type="table" rid="T2">Table&#x20;2</xref> and <xref ref-type="sec" rid="s11">Supplementary Table S3</xref>, <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref> in <xref ref-type="sec" rid="s11">Supplementary Materials</xref>). All models with additional variables not contained in the IWPC model increased accurate dosing prediction by approximately one percent over the IWPC model (all <italic>p</italic>&#x20;&#x3c; 4.2 &#xd7; 10<sup>&#x2212;12</sup>; <xref ref-type="sec" rid="s11">Supplementary Tables S3, S6</xref>). MAEs were similar for all nine models and ranged from 8.25 to 8.45&#xa0;mg/week.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Comparison of Warfarin Dose Prediction Algorithms by Median Percentage Predicted within 20% of Actual and Mean Absolute Error (MAE) in the IWPC, ULLA, and Merged cohorts.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">IWPC (<italic>n</italic>&#x20;&#x3d; 5,049)</th>
<th colspan="2" align="center">ULLA (<italic>n</italic>&#x20;&#x3d; 1,734)</th>
<th colspan="2" align="center">Merged (<italic>n</italic>&#x20;&#x3d; 7,030)</th>
</tr>
<tr>
<th align="left">Model</th>
<th align="center">Within 20%<xref ref-type="table-fn" rid="Tfn5">
<sup>a</sup>
</xref>
</th>
<th align="center">MAE (95%CI)<xref ref-type="table-fn" rid="Tfn5">
<sup>a</sup>
</xref>
</th>
<th align="center">Within 20%<xref ref-type="table-fn" rid="Tfn5">
<sup>a</sup>
</xref>
</th>
<th align="center">MAE (95%CI)<xref ref-type="table-fn" rid="Tfn5">
<sup>a</sup>
</xref>
</th>
<th align="center">Within 20%<xref ref-type="table-fn" rid="Tfn5">
<sup>a</sup>
</xref>
</th>
<th align="center">MAE (95%CI)<xref ref-type="table-fn" rid="Tfn5">
<sup>a</sup>
</xref>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">IWPC<xref ref-type="table-fn" rid="Tfn6">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">45.84</td>
<td align="char" char=".">8.36 (7.89&#x2013;8.85)</td>
<td align="char" char=".">47.88</td>
<td align="char" char=".">8.12 (7.44&#x2013;8.82)</td>
<td align="char" char=".">46.66</td>
<td align="char" char=".">8.24 (7.89&#x2013;8.58)</td>
</tr>
<tr>
<td align="left">IWPCV<xref ref-type="table-fn" rid="Tfn6">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">45.87</td>
<td align="char" char=".">8.41 (7.91&#x2013;8.87)</td>
<td align="char" char=".">47.02</td>
<td align="char" char=".">8.20 (7.52&#x2013;8.90)</td>
<td align="char" char=".">46.61</td>
<td align="char" char=".">8.24 (7.90&#x2013;8.59)</td>
</tr>
<tr>
<td align="left">IWPC SVR<xref ref-type="table-fn" rid="Tfn6">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">45.81</td>
<td align="char" char=".">8.43 (7.93&#x2013;8.90)</td>
<td align="char" char=".">46.54</td>
<td align="char" char=".">8.25 (7.55&#x2013;8.94)</td>
<td align="char" char=".">46.80</td>
<td align="char" char=".">8.21 (7.86&#x2013;8.56)</td>
</tr>
<tr>
<td align="left">IWPC MARS<xref ref-type="table-fn" rid="Tfn6">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">45.575</td>
<td align="char" char=".">8.44 (7.95&#x2013;8.91)</td>
<td align="char" char=".">47.50</td>
<td align="char" char=".">8.17 (7.49&#x2013;8.88)</td>
<td align="char" char=".">46.56</td>
<td align="char" char=".">8.27 (7.92&#x2013;8.61)</td>
</tr>
<tr>
<td align="left">IWPC BART<xref ref-type="table-fn" rid="Tfn6">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">45.45</td>
<td align="char" char=".">8.45 (7.95&#x2013;8.93)</td>
<td align="char" char=".">47.31</td>
<td align="char" char=".">8.15 (7.46&#x2013;8.84)</td>
<td align="char" char=".">46.28</td>
<td align="char" char=".">8.25 (7.90&#x2013;8.60)</td>
</tr>
<tr>
<td align="left">NLM<xref ref-type="table-fn" rid="Tfn7">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">47.43</td>
<td align="char" char=".">8.25 (7.77&#x2013;8.74)</td>
<td align="char" char=".">47.79</td>
<td align="char" char=".">8.11 (7.45&#x2013;8.79)</td>
<td align="char" char=".">47.78</td>
<td align="char" char=".">8.13 (7.78&#x2013;8.47)</td>
</tr>
<tr>
<td align="left">SVR<xref ref-type="table-fn" rid="Tfn7">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">47.33</td>
<td align="char" char=".">8.29 (7.8&#x2013;8.785)</td>
<td align="char" char=".">47.41</td>
<td align="char" char=".">8.22 (7.52&#x2013;8.93)</td>
<td align="char" char=".">47.61</td>
<td align="char" char=".">8.11 (7.77&#x2013;8.46)</td>
</tr>
<tr>
<td align="left">MARS<xref ref-type="table-fn" rid="Tfn7">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">46.70</td>
<td align="char" char=".">8.33 (7.85&#x2013;8.81)</td>
<td align="char" char=".">47.31</td>
<td align="char" char=".">8.20 (7.52&#x2013;8.88)</td>
<td align="char" char=".">47.18</td>
<td align="char" char=".">8.18 (7.84&#x2013;8.53)</td>
</tr>
<tr>
<td align="left">BART<xref ref-type="table-fn" rid="Tfn7">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">46.90</td>
<td align="char" char=".">8.31 (7.84&#x2013;8.79)</td>
<td align="char" char=".">46.92</td>
<td align="char" char=".">8.16 (7.47&#x2013;8.87)</td>
<td align="char" char=".">47.46</td>
<td align="char" char=".">8.14 (7.79&#x2013;8.48)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>IWPC indicates International Warfarin Pharmacogenetics Consortium cohort, ULLA, US Latino and Latin American cohort, Merged, ULLA plus IWPC, CI, Confidence Interval, IWPCV, IWPC variables, IWPC MARS, IWPC variables in a Multivariate Adaptive Regression Splines, IWPC SVR, IWPC variables in a Support Vector Regression, IWPC BART, IWPC variables in a Bayesian Additive Regression Trees, NLM, Novel Linear Model.</p>
</fn>
<fn id="Tfn5">
<label>a</label>
<p>Estimates of mean absolute error (MAE) and the percentage of individuals predicted within 20% of their actual dose for each model were based on 100 replicates of resampling testing&#x20;data.</p>
</fn>
<fn id="Tfn6">
<label>b</label>
<p>Models feature the variables age, height, weight, <italic>CYP2C9</italic> diplotype, <italic>VKORC1</italic> genotype, race, amiodarone use, and enzyme inducer&#x20;use.</p>
</fn>
<fn id="Tfn7">
<label>c</label>
<p>Models feature the same variables as b in addition to warfarin indication, ethnicity, statin use, aspirin use, history of diabetes.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In the ULLA cohort (<italic>n</italic>&#x20;&#x3d; 1,734), all models performed similarly (<xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>, <xref ref-type="table" rid="T2">Table&#x20;2</xref> and <xref ref-type="sec" rid="s11">Supplementary Table S4</xref>). IWPC predicted 47.9% of the population within 20% of actual dose compared to 47.0% for IWPCV (<italic>p</italic>&#x20;&#x3c; 4.28 &#xd7; 10<sup>&#x2212;6</sup>, <xref ref-type="sec" rid="s11">Supplementary Tables S4, S6</xref>). While the NLM model had the lowest MAE 8.11 (7.45&#x2013;8.79), all model MAEs were similar ranging from 8.11 to 8.25&#xa0;mg/week. The median percentage of participants predicted within 20% in all models fit in the ULLA cohort differed by &#x223c;1%.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Comparison of Warfarin Dose Prediction Algorithms in the ULLA and Merged cohorts. Proportion of patients predicted within 20% of their actual dose is plotted in the <bold>(A)</bold> US Latinos and Latin Americans (ULLA) cohort and <bold>(B)</bold> Merged cohort containing both ULLA and IWPC cohorts. The boxplot visualizes five summary statistics (the median, 25 and 75% quartiles and two whiskers at 1.5&#x2a; Interquartile Range). The points indicate the proportion of patients predicted within 20% at each of the 100 rounds of resampling. Models feature IWPC variables or IWPC variables in addition to new predictors. IWPC indicates International Warfarin Pharmacogenetics Consortium model, Merged, IWPC cohort plus ULLA cohort, IWPCV, IWPC variables, IWPC MARS, IWPC variables in a Multivariate Adaptive Regression Splines, IWPC SVR, IWPC variables in a Support Vector Regression, IWPC BART, IWPC variables in a Bayesian Additive Regression Trees, NLM, Novel Linear Model. From left to right, the first five models, IWPC, IWPCV, IWPC_SVR, IWPC_MARS, and IWPC_BART feature the clinical variables age, height, weight, race, enzyme inducer user, amiodarone use and the genetic variables <italic>CYP2C9</italic> Diplotype and <italic>VKORC1</italic>-1639G&#x3e;A Genotype, the next four models, NLM, SVR, MARS and BART feature the additional variables gender, ethnicity, statin use, aspirin use, history of diabetes, warfarin indication, the last model features only the clinical variables from the first set. IWPC indicates International Warfarin Pharmacogenetics Consortium model, IWPCV, IWPC variables, IWPC MARS, IWPC variables in a Multivariate Adaptive Regression Splines, IWPC SVR, IWPC variables in a Support Vector Regression, IWPC BART, IWPC variables in a Bayesian Additive Regression Trees, NLM, Novel Linear Model, Clinical, the IWPC Clinical&#x20;model.</p>
</caption>
<graphic xlink:href="fphar-12-749786-g002.tif"/>
</fig>
<p>In the Merged cohort (<italic>n</italic>&#x20;&#x3d; 7,030), the NLM model was the most accurate in this population with 47.8% of the population predicted within 20% of actual dose. All models with additional variables not contained in the IWPC model increased accurate dosing prediction by &#x223c;1% (all <italic>p &#x3c;</italic> 2.2 &#xd7; 10<sup>&#x2212;10</sup>) in the testing data (<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>, <xref ref-type="table" rid="T2">Table&#x20;2</xref>, <xref ref-type="sec" rid="s11">Supplementary Tables S5, S6</xref>). MAEs were similar for all nine models and ranged from 8.11 to 8.27&#xa0;mg/week. In sensitivity analyses, our results were robust to alternative imputation methods and complete case analysis (<xref ref-type="sec" rid="s11">Supplementary Results</xref> and <xref ref-type="sec" rid="s11">Supplementary Tables S7,&#x20;S8</xref>).</p>
<sec id="s3-2-1">
<title>Comparison of Predictive Algorithms by Actual-Dose Groups</title>
<p>We assessed performance in the ULLA cohort by actual-dose groups using the nine previously tested models. In the high dose group (weekly warfarin dose &#x3e;49&#xa0;mg), both BART models, BART and IWPC_BART, outperformed IWPC (<italic>p &#x3c;</italic> 1.3 &#xd7; 10<sup>&#x2212;4</sup>, <xref ref-type="fig" rid="F3">Figure&#x20;3A</xref> and <xref ref-type="sec" rid="s11">Supplementary Tables S9, S10</xref>), while in the low dose group (&#x2264;21&#xa0;mg/week), the IWPC model outperformed all other models (<italic>p &#x3c;</italic> 1.5 &#xd7; 10<sup>&#x2212;15</sup>). In the intermediate group, all models perform similarly and systematically better than in other dose-groups.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Subgroup Comparisons of Warfarin Dose Prediction Algorithms in the ULLA cohort. Proportion of patients predicted within 20% of their actual dose in the US Latinos and Latin Americans (ULLA) cohort by <bold>(A)</bold> actual-dose group, <bold>(B)</bold> race group, and <bold>(C)</bold> country of enrollment. The boxplot visualizes five summary statistics (the median, 25 and 75% quartiles and two whiskers at 1.5&#x2a; Interquartile Range). The points indicate the proportion of patients predicted within 20% at each of the 100 rounds of resampling. The horizontal line indicates the median percentage predicted within 20% across all participants. From left to right, the first five models, IWPC, IWPCV, IWPC_SVR, IWPC_MARS, and IWPC_BART feature the clinical variables age, height, weight, race, enzyme inducer user, amiodarone use and the genetic variables <italic>CYP2C9</italic> Diplotype and <italic>VKORC1-</italic>1639G&#x3e;A Genotype, the next four models, NLM, SVR, MARS and BART feature the additional variables gender, ethnicity, statin use, aspirin use, history of diabetes, warfarin indication, the last model features only the clinical variables from the first set. IWPC indicates International Warfarin Pharmacogenetics Consortium model, IWPCV, IWPC variables, IWPC MARS, IWPC variables in a Multivariate Adaptive Regression Splines, IWPC SVR, IWPC variables in a Support Vector Regression, IWPC BART, IWPC variables in a Bayesian Additive Regression Trees, NLM, Novel Linear Model, Clinical, the IWPC Clinical&#x20;model.</p>
</caption>
<graphic xlink:href="fphar-12-749786-g003.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>Comparison of Predictive Algorithms by Race</title>
<p>We assessed performance in the ULLA cohort by self-reported race group using the nine previously tested models alongside the IWPC clinical model, which excludes pharmacogenetic variants(<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). In all three race groups, all models outperformed the clinical algorithm by at least 5% (all <italic>p</italic>&#x20;&#x3c; 0.001; <xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>, <xref ref-type="table" rid="T3">Table&#x20;3</xref>, and <xref ref-type="sec" rid="s11">Supplementary Table S11</xref>). Apart from the clinical model, all models performed similarly in ULLA White and Black race groups. The NLM model outperformed IWPC in the Mixed or Missing race group (<italic>p</italic>&#x20;&#x3d; 3.64 &#xd7; 10<sup>&#x2212;4</sup>, <xref ref-type="sec" rid="s11">Supplementary Table S11</xref>). The overall mean percentage of patients predicted within 20% of actual dose was highest in the White ULLA race group (49.1%) compared with the Mixed or Missing ULLA race group (45.4%) and the Black ULLA race group (40.0%).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Model comparisons by race data in the ULLA cohort (<italic>n</italic>&#x20;&#x3d; 1,734).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">White (<italic>n</italic>&#x20;&#x3d; 1,153)</th>
<th colspan="2" align="center">Black (<italic>n</italic>&#x20;&#x3d; 292)</th>
<th colspan="2" align="center">Mixed or Missing (<italic>n</italic>&#x20;&#x3d; 289)</th>
</tr>
<tr>
<th align="left">Model</th>
<th align="center">Within 20%<xref ref-type="table-fn" rid="Tfn8">
<sup>a</sup>
</xref>
</th>
<th align="center">MAE (95%CI)<xref ref-type="table-fn" rid="Tfn8">
<sup>a</sup>
</xref>
</th>
<th align="center">Within 20%<sup>a</sup>
</th>
<th align="center">MAE (95%CI)<xref ref-type="table-fn" rid="Tfn8">
<sup>a</sup>
</xref>
</th>
<th align="center">Within 20%<xref ref-type="table-fn" rid="Tfn8">
<sup>a</sup>
</xref>
</th>
<th align="center">MAE (95%CI)<xref ref-type="table-fn" rid="Tfn8">
<sup>a</sup>
</xref>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">IWPC<xref ref-type="table-fn" rid="Tfn9">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">50.26</td>
<td align="char" char=".">7.86 (7.05&#x2013;8.68)</td>
<td align="char" char=".">41.08</td>
<td align="char" char=".">8.89 (7.36&#x2013;10.42)</td>
<td align="char" char=".">45.85</td>
<td align="char" char=".">8.55 (6.52&#x2013;10.57)</td>
</tr>
<tr>
<td align="left">IWPCV<xref ref-type="table-fn" rid="Tfn9">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">49.09</td>
<td align="char" char=".">7.93 (7.1&#x2013;8.76)</td>
<td align="char" char=".">41.19</td>
<td align="char" char=".">8.86 (7.4&#x2013;10.32)</td>
<td align="char" char=".">46.11</td>
<td align="char" char=".">8.60 (6.56&#x2013;10.64)</td>
</tr>
<tr>
<td align="left">IWPC SVR<xref ref-type="table-fn" rid="Tfn9">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">48.78</td>
<td align="char" char=".">7.93 (7.09&#x2013;8.76)</td>
<td align="char" char=".">39.73</td>
<td align="char" char=".">9.07 (7.59&#x2013;10.55)</td>
<td align="char" char=".">45.19</td>
<td align="char" char=".">8.65 (6.60&#x2013;10.69)</td>
</tr>
<tr>
<td align="left">IWPC MARS<xref ref-type="table-fn" rid="Tfn9">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">49.64</td>
<td align="char" char=".">7.88 (7.05&#x2013;8.71)</td>
<td align="char" char=".">40.48</td>
<td align="char" char=".">8.99 (7.52&#x2013;10.46)</td>
<td align="char" char=".">45.54</td>
<td align="char" char=".">8.60 (6.56&#x2013;10.64)</td>
</tr>
<tr>
<td align="left">IWPC BART<xref ref-type="table-fn" rid="Tfn9">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">49.62</td>
<td align="char" char=".">7.80 (6.99&#x2013;8.62)</td>
<td align="char" char=".">39.04</td>
<td align="char" char=".">9.10 (7.60&#x2013;10.60)</td>
<td align="char" char=".">45.60</td>
<td align="char" char=".">8.67 (6.57&#x2013;10.77)</td>
</tr>
<tr>
<td align="left">NLM<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">49.21</td>
<td align="char" char=".">7.83 (7.01&#x2013;8.65)</td>
<td align="char" char=".">41.56</td>
<td align="char" char=".">8.89 (7.43&#x2013;10.35)</td>
<td align="char" char=".">47.50</td>
<td align="char" char=".">8.49 (6.41&#x2013;10.57)</td>
</tr>
<tr>
<td align="left">SVR<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">49.08</td>
<td align="char" char=".">7.92 (7.09&#x2013;8.75)</td>
<td align="char" char=".">41.37</td>
<td align="char" char=".">9.07 (7.62&#x2013;10.52)</td>
<td align="char" char=".">46.66</td>
<td align="char" char=".">8.55 (6.47&#x2013;10.63)</td>
</tr>
<tr>
<td align="left">MARS<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">49.48</td>
<td align="char" char=".">7.87 (7.04&#x2013;8.71)</td>
<td align="char" char=".">40.51</td>
<td align="char" char=".">8.97 (7.50&#x2013;10.44)</td>
<td align="char" char=".">45.37</td>
<td align="char" char=".">8.66 (6.62&#x2013;10.70)</td>
</tr>
<tr>
<td align="left">BART<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">49.05</td>
<td align="char" char=".">7.81 (7.00&#x2013;8.62)</td>
<td align="char" char=".">39.30</td>
<td align="char" char=".">9.15 (7.67&#x2013;10.63)</td>
<td align="char" char=".">46.12</td>
<td align="char" char=".">8.67 (6.54&#x2013;10.79)</td>
</tr>
<tr>
<td align="left">CLINICAL<xref ref-type="table-fn" rid="Tfn10">
<sup>d</sup>
</xref>
</td>
<td align="char" char=".">39.30</td>
<td align="char" char=".">9.74 (8.79&#x2013;10.7)</td>
<td align="char" char=".">33.33</td>
<td align="char" char=".">10.00 (8.47&#x2013;11.52)</td>
<td align="char" char=".">35.77</td>
<td align="char" char=".">10.39 (8.19&#x2013;12.6)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>ULLA indicates US Latino and Latin American warfarin users cohort; CI, Confidence Interval; IWPC, International Warfarin Pharmacogenetics Consortium model; IWPCV, IWPC variables; IWPC MARS, IWPC variables in a Multivariate Adaptive Regression Splines; IWPC SVR, IWPC variables in a Support Vector Regression; IWPC BART, IWPC variables in a Bayesian Additive Regression Trees; NLM, Novel Linear Model.</p>
</fn>
<fn id="Tfn8">
<label>a</label>
<p>Estimates of mean absolute error (MAE) and the percentage of individuals predicted within 20% of their actual dose for each model were based on 100 replicates of resampling 30% testing&#x20;data.</p>
</fn>
<fn id="Tfn9">
<label>b</label>
<p>Models feature the variables age, height, weight, race, amiodarone use, and enzyme inducer use and genetic variables <italic>CYP2C9</italic> diplotype, <italic>VKORC1</italic> genotype.</p>
</fn>
<fn>
<p>
<sup>c</sup>Models feature the same variables as b in addition to warfarin indication, ethnicity, statin use, aspirin use, history of diabetes.</p>
</fn>
<fn id="Tfn10">
<label>d</label>
<p>Model features the clinical variables only from b.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2-3">
<title>Comparison of Predictive Algorithms by Country of Enrollment</title>
<p>We assessed performance in the ULLA cohort by country/territory of enrollment using the nine previously tested models alongside the IWPC clinical model, which excludes pharmacogenetic variants (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). In all four national groups, all models outperformed the clinical algorithm by at least 5%, in some cases up to 15% (all <italic>p</italic>&#x20;&#x3c; 0.001; <xref ref-type="fig" rid="F3">Figure&#x20;3C</xref> and <xref ref-type="sec" rid="s11">Supplementary Tables S11, S12</xref>). The overall mean percentage predicted within 20% of actual dose was highest in the Colombian cohort (51.9%) compared with the continental United&#x20;States (48.5%), Puerto Rico (47.4%), and Brazil (46.0%).</p>
</sec>
</sec>
<sec id="s3-3">
<title>Assessment of Linear Models in the Merged Cohort</title>
<p>Parameter estimates, standard errors, and R<sup>2</sup> values were similar across IWPC, IWPCV, and NLM models (<xref ref-type="table" rid="T4">Table&#x20;4</xref>). For the IWPCV and NLM models that included ULLA patients in their training datasets, we observed similar parameter estimates for pharmacogenetic variable effects relative to the IWPC model. For example, the estimates for the <italic>CYP2C9 &#x2a;1/&#x2a;2</italic> diplotype ranged from &#x2212;0.52&#x20;&#xb1; 0.04 in IWPC to &#x2212;0.41&#x20;&#xb1; 0.04 (IWPCV) and to &#x2212;0.42&#x20;&#xb1; 0.04 (NLM). In all instances, differences in betas were not outside the confidence intervals of each model. Among the additional variables not contained in the IWPC model, valve replacement indication (<inline-formula id="inf1">
<mml:math id="m1">
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</inline-formula> &#x3d; 0.34&#x20;&#xb1; 0.04, <italic>p</italic>&#x20;&#x3d; 7.67 &#xd7; 10<sup>&#x2212;16</sup>), deep vein thrombosis indication (<inline-formula id="inf2">
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</inline-formula> &#x3d; 0.18&#x20;&#xb1; 0.04, <italic>p</italic>&#x20;&#x3d; 0.001), smoking status (<inline-formula id="inf4">
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<mml:mover accent="true">
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</inline-formula> &#x3d; 0.27&#x20;&#xb1; 0.04, <italic>p</italic>&#x20;&#x3d; 3.28 &#xd7; 10<sup>&#x2212;5</sup>), gender (<inline-formula id="inf5">
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<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.11&#x20;&#xb1; 0.03, <italic>p</italic>&#x20;&#x3d; 0.0007), unknown ethnicity (<inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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</inline-formula> &#x3d; &#x2212;0.18&#x20;&#xb1; 0.05, <italic>p</italic>&#x20;&#x3d; 0.0001), and statin use (<inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula> &#x3d; &#x2212;0.1&#x20;&#xb1; 0.04, <italic>p</italic>&#x20;&#x3d; 0.007) were associated with warfarin stable dose in the NLM. Hispanic/Latino ethnicity was not significantly associated with warfarin dose (<inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; &#x2212;0.07&#x20;&#xb1; 0.04, <italic>p</italic>&#x20;&#x3d; 0.1). Partial R<sup>2</sup> values were consistent for all variables that were included in all three models. Among the additional variables not contained in the IWPC model, we observed that warfarin indication (R<sup>2</sup> &#x3d; 0.03) had the highest partial R<sup>2</sup> value of the additional variables.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Partial R<sup>2</sup> values, parameter estimates with standard errors, and <italic>p</italic>-values of the 50th replicate of models trained in the Merged cohort (<italic>n</italic>&#x20;&#x3d; 7,030).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="3" align="center">IWPC</th>
<th colspan="3" align="center">IWPCV</th>
<th colspan="3" align="center">NLM</th>
</tr>
<tr>
<th align="left">Model Variable</th>
<th align="center">R<sup>2</sup>
</th>
<th align="center">
<bold>
<italic>&#x3b2;</italic>
</bold>&#x5e; &#xb1; SE</th>
<th align="center">
<italic>p</italic>
<xref ref-type="table-fn" rid="Tfn11">
<sup>a</sup>
</xref>
</th>
<th align="center">R<sup>2</sup>
</th>
<th align="center">
<bold>
<italic>&#x3b2;</italic>
</bold>&#x5e; &#xb1; SE</th>
<th align="center">
<italic>p</italic>
<xref ref-type="table-fn" rid="Tfn11">
<sup>a</sup>
</xref>
</th>
<th align="center">R<sup>2</sup>
</th>
<th align="center">
<bold>
<italic>&#x3b2;</italic>
</bold>&#x5e; &#xb1; SE</th>
<th align="center">
<italic>p</italic>
<xref ref-type="table-fn" rid="Tfn11">
<sup>a</sup>
</xref>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Intercept</td>
<td align="char" char=".">-</td>
<td align="char" char=".">5.6&#x20;&#xb1; 0.27</td>
<td align="char" char=".">1.11 &#xd7; 10<sup>&#x2212;93</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">5.02&#x20;&#xb1; 0.27</td>
<td align="char" char=".">2.87 &#xd7; 10<sup>&#x2212;76</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">4.12&#x20;&#xb1; 0.33</td>
<td align="char" char=".">4.92 &#xd7; 10<sup>&#x2212;35</sup>
</td>
</tr>
<tr>
<td align="left">Age</td>
<td align="char" char=".">0.12</td>
<td align="char" char=".">&#x2212;0.26&#x20;&#xb1; 0.01</td>
<td align="char" char=".">8.82 &#xd7; 10<sup>&#x2212;151</sup>
</td>
<td align="char" char=".">0.12</td>
<td align="char" char=".">&#x2212;0.24&#x20;&#xb1; 0.01</td>
<td align="char" char=".">3.24 &#xd7; 10<sup>&#x2212;133</sup>
</td>
<td align="char" char=".">0.09</td>
<td align="char" char=".">&#x2212;0.21&#x20;&#xb1; 0.01</td>
<td align="char" char=".">6.65 &#xd7; 10<sup>&#x2212;88</sup>
</td>
</tr>
<tr>
<td align="left">Height</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.01&#x20;&#xb1; 0</td>
<td align="char" char=".">1.73 &#xd7; 10<sup>&#x2212;07</sup>
</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.01&#x20;&#xb1; 0</td>
<td align="char" char=".">5.17 &#xd7; 10<sup>&#x2212;12</sup>
</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.01&#x20;&#xb1; 0</td>
<td align="char" char=".">1.42 &#xd7; 10<sup>&#x2212;14</sup>
</td>
</tr>
<tr>
<td align="left">Weight</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.01&#x20;&#xb1; 0</td>
<td align="char" char=".">1.14 &#xd7; 10<sup>&#x2212;41</sup>
</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.01&#x20;&#xb1; 0</td>
<td align="char" char=".">3.27 &#xd7; 10<sup>&#x2212;37</sup>
</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">0.01&#x20;&#xb1; 0</td>
<td align="char" char=".">1.71 &#xd7; 10<sup>&#x2212;38</sup>
</td>
</tr>
<tr>
<td align="left">
<italic>CYP2C9</italic>
<xref ref-type="table-fn" rid="Tfn12">
<sup>b</sup>
</xref>
</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
</tr>
<tr>
<td align="left">&#x2a;1/&#x2a;2</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.52&#x20;&#xb1; 0.04</td>
<td align="char" char=".">4.75 &#xd7; 10<sup>&#x2212;33</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.41&#x20;&#xb1; 0.04</td>
<td align="char" char=".">2.5 &#xd7; 10<sup>&#x2212;21</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.42&#x20;&#xb1; 0.04</td>
<td align="char" char=".">9.25 &#xd7; 10<sup>&#x2212;23</sup>
</td>
</tr>
<tr>
<td align="left">&#x2a;1/&#x2a;3</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.94&#x20;&#xb1; 0.05</td>
<td align="char" char=".">9.18 &#xd7; 10<sup>&#x2212;72</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.85&#x20;&#xb1; 0.05</td>
<td align="char" char=".">2.02 &#xd7; 10<sup>&#x2212;59</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.86&#x20;&#xb1; 0.05</td>
<td align="char" char=".">1.16 &#xd7; 10<sup>&#x2212;62</sup>
</td>
</tr>
<tr>
<td align="left">&#x2a;2/&#x2a;2</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;1.06&#x20;&#xb1; 0.14</td>
<td align="char" char=".">1.49 &#xd7; 10<sup>&#x2212;13</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.97&#x20;&#xb1; 0.14</td>
<td align="char" char=".">1.53 &#xd7; 10<sup>&#x2212;11</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.96&#x20;&#xb1; 0.14</td>
<td align="char" char=".">1.22 &#xd7; 10<sup>&#x2212;11</sup>
</td>
</tr>
<tr>
<td align="left">&#x2a;2/&#x2a;3</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;1.92&#x20;&#xb1; 0.13</td>
<td align="char" char=".">1.63 &#xd7; 10<sup>&#x2212;49</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;1.54&#x20;&#xb1; 0.13</td>
<td align="char" char=".">9.94 &#xd7; 10<sup>&#x2212;33</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;1.56&#x20;&#xb1; 0.13</td>
<td align="char" char=".">2.76 &#xd7; 10<sup>&#x2212;34</sup>
</td>
</tr>
<tr>
<td align="left">&#x2a;3/&#x2a;3</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;2.33&#x20;&#xb1; 0.29</td>
<td align="char" char=".">2.73 &#xd7; 10<sup>&#x2212;15</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-2.24&#x20;&#xb1; 0.29</td>
<td align="char" char=".">3.46 &#xd7; 10<sup>&#x2212;14</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-2.24&#x20;&#xb1; 0.29</td>
<td align="char" char=".">1.24 &#xd7; 10<sup>&#x2212;14</sup>
</td>
</tr>
<tr>
<td align="left">Missing</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.22&#x20;&#xb1; 0.1</td>
<td align="char" char=".">0.0293</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.2&#x20;&#xb1; 0.1</td>
<td align="char" char=".">0.047</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.23&#x20;&#xb1; 0.1</td>
<td align="char" char=".">0.0214</td>
</tr>
<tr>
<td align="left">
<italic>VKORC1</italic>
<xref ref-type="table-fn" rid="Tfn13">
<sup>c</sup>
</xref>
</td>
<td align="char" char=".">0.23</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.23</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.23</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
</tr>
<tr>
<td align="left">A/G</td>
<td align="left"/>
<td align="char" char=".">&#x2212;0.87&#x20;&#xb1; 0.03</td>
<td align="char" char=".">1.77 &#xd7; 10<sup>&#x2212;139</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.8&#x20;&#xb1; 0.03</td>
<td align="char" char=".">1.2 &#xd7; 10<sup>&#x2212;119</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.79&#x20;&#xb1; 0.03</td>
<td align="char" char=".">2.25 &#xd7; 10<sup>&#x2212;121</sup>
</td>
</tr>
<tr>
<td align="left">A/A</td>
<td align="left"/>
<td align="char" char=".">&#x2212;1.7&#x20;&#xb1; 0.04</td>
<td align="char" char=".">2.03 &#xd7; 10<sup>&#x2212;279</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;1.62&#x20;&#xb1; 0.04</td>
<td align="char" char=".">2.34 &#xd7; 10<sup>&#x2212;256</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;1.61&#x20;&#xb1; 0.04</td>
<td align="char" char=".">3.87 &#xd7; 10<sup>&#x2212;260</sup>
</td>
</tr>
<tr>
<td align="left">Missing</td>
<td align="left"/>
<td align="char" char=".">&#x2212;0.49&#x20;&#xb1; 0.12</td>
<td align="char" char=".">2.7 &#xd7; 10<sup>&#x2212;05</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.34&#x20;&#xb1; 0.12</td>
<td align="char" char=".">0.00299</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.38&#x20;&#xb1; 0.11</td>
<td align="char" char=".">0.00103</td>
</tr>
<tr>
<td align="left">Race</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
</tr>
<tr>
<td align="left">Asian</td>
<td align="left"/>
<td align="char" char=".">&#x2212;0.11&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.0231</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.1&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.0423</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.16&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.00263</td>
</tr>
<tr>
<td align="left">Black or African American</td>
<td align="left"/>
<td align="char" char=".">&#x2212;0.28&#x20;&#xb1; 0.05</td>
<td align="char" char=".">1.75 &#xd7; 10<sup>&#x2212;08</sup>
</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.16&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.000908</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.21&#x20;&#xb1; 0.05</td>
<td align="char" char=".">2.51 &#xd7; 10<sup>&#x2212;5</sup>
</td>
</tr>
<tr>
<td align="left">Mixed or Missing<xref ref-type="table-fn" rid="Tfn14">
<sup>d</sup>
</xref>
</td>
<td align="left"/>
<td align="char" char=".">&#x2212;0.1&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.0457</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.07&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.152</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.02&#x20;&#xb1; 0.06</td>
<td align="char" char=".">0.71</td>
</tr>
<tr>
<td align="left">Enzyme Inducer Use</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">1.18&#x20;&#xb1; 0.13</td>
<td align="char" char=".">8.37 &#xd7; 10<sup>&#x2212;21</sup>
</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.85&#x20;&#xb1; 0.13</td>
<td align="char" char=".">1.83 &#xd7; 10<sup>&#x2212;11</sup>
</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.78&#x20;&#xb1; 0.12</td>
<td align="char" char=".">2.99 &#xd7; 10<sup>&#x2212;10</sup>
</td>
</tr>
<tr>
<td align="left">Amiodarone Use</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">&#x2212;0.55&#x20;&#xb1; 0.04</td>
<td align="char" char=".">2.16 &#xd7; 10<sup>&#x2212;37</sup>
</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">&#x2212;0.54&#x20;&#xb1; 0.04</td>
<td align="char" char=".">1.42 &#xd7; 10<sup>&#x2212;36</sup>
</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2212;0.45&#x20;&#xb1; 0.05</td>
<td align="char" char=".">2.28 &#xd7; 10<sup>&#x2212;21</sup>
</td>
</tr>
<tr>
<td align="left">Ethnicity</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
</tr>
<tr>
<td align="left">Hispanic/Latino</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.07&#x20;&#xb1; 0.04</td>
<td align="char" char=".">0.117</td>
</tr>
<tr>
<td align="left">Unknown</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">&#x2212;0.18&#x20;&#xb1; 0.05</td>
<td align="char" char=".">0.000133</td>
</tr>
<tr>
<td align="left">Gender (female)</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.11&#x20;&#xb1; 0.03</td>
<td align="char" char=".">0.000701</td>
</tr>
<tr>
<td align="left">Statin Use</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;0.1&#x20;&#xb1; 0.04</td>
<td align="char" char=".">0.00794</td>
</tr>
<tr>
<td align="left">Aspirin Use</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">&#x2212;0.07&#x20;&#xb1; 0.04</td>
<td align="char" char=".">0.117</td>
</tr>
<tr>
<td align="left">Indication</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
</tr>
<tr>
<td align="left">DVT/PE</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="left"/>
<td align="char" char=".">0.24&#x20;&#xb1; 0.05</td>
<td align="char" char=".">1.5 &#xd7; 10<sup>&#x2212;7</sup>
</td>
</tr>
<tr>
<td align="left">TIA</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="left"/>
<td align="char" char=".">&#x2212;0.03&#x20;&#xb1; 0.08</td>
<td align="char" char=".">0.689</td>
</tr>
<tr>
<td align="left">Valve</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="left"/>
<td align="char" char=".">0.34&#x20;&#xb1; 0.04</td>
<td align="char" char=".">7.67 &#xd7; 10<sup>&#x2212;16</sup>
</td>
</tr>
<tr>
<td align="left">Other</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="left"/>
<td align="char" char=".">-0.01&#x20;&#xb1; 0.04</td>
<td align="char" char=".">0.873</td>
</tr>
<tr>
<td align="left">Diabetes</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.18&#x20;&#xb1; 0.04</td>
<td align="char" char=".">3.28 &#xd7; 10<sup>&#x2212;5</sup>
</td>
</tr>
<tr>
<td align="left">Smoking status</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">-</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.27&#x20;&#xb1; 0.05</td>
<td align="char" char=".">4.24 &#xd7; 10<sup>&#x2212;7</sup>
</td>
</tr>
<tr>
<td align="left">Total R<sup>2</sup>
</td>
<td align="center">47.03</td>
<td align="left"/>
<td align="left"/>
<td align="center">47.03</td>
<td align="left"/>
<td align="left"/>
<td align="center">48.55</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>IWPC indicates International Warfarin Pharmacogenetics Consortium model; IWPCV, the same variables as IWPC in a new model; NLM, Novel Linear Model including the additional predictors: statin use, aspirin use, warfarin indication, ethnicity, history of diabetes; SE, Standard Error; DVT, Deep Vein Thrombosis; PE, Pulmonary Embolism; TIA, Transient Attack; AFIB, Atrial Fibrillation</p>
</fn>
<fn id="Tfn11">
<label>a</label>
<p>
<italic>p</italic>-values determined by the lm function in R.</p>
</fn>
<fn id="Tfn12">
<label>b</label>
<p>
<italic>CYP2C9</italic> Diplotypes &#x2a;5, &#x2a;6, &#x2a;13, &#x2a;14 collapsed into &#x2a;1/&#x2a;3 and &#x2a;11 to &#x2a;1/&#x2a;2.</p>
</fn>
<fn id="Tfn13">
<label>c</label>
<p>VKORC1 1639&#xa0;G&#x3e;A (rs9923231) rs2359612, rs9934438, rs8050894 were used as proxies where rs9923231 was missing.</p>
</fn>
<fn id="Tfn14">
<label>d</label>
<p>Native American race was collapsed into &#x201c;Mixed or Missing&#x201d;.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>This study combined a large US Latino and Latin American cohort with IWPC data, constituting the largest available cohort for modelling stable warfarin dose in Hispanic and Latino patients. We found that IWPC models were accurate when applied to both our ULLA population and a combined cohort&#x20;of ethnically diverse patients. We found limited evidence that nonlinear models significantly improve prediction of warfarin dose compared to linear models in any cohort in this analysis. Inclusion of additional predictor variables resulted in a small but significant improvement of prediction of warfarin dose relative to the published IWPC model. Specifically, the inclusion of warfarin indication, smoking status, diabetes, statin use, and gender informed warfarin dose prediction above that of the IWPC and IWPCV models. These results suggest that several important variables are not currently being captured by commonly used warfarin dose prediction algorithms. In care settings where warfarin dose algorithms are implemented, these data, which&#x20;are routinely collected in electronic health record systems and in clinical assessments of warfarin users, should be accurate and readily available for improvement of algorithm&#x20;accuracy.</p>
<p>In our study, nonlinear models did not out-perform linear regression models in our Latino/Latin American cohort, an observation that is inconsistent with some previous literature in other populations. One study used the IWPC cohort to model warfarin dose using nonlinear models, finding increased prediction accuracy with nonlinear models in under 400 Italian warfarin users (<xref ref-type="bibr" rid="B25">Liu et&#x20;al., 2015</xref>). Another study investigated machine learning for predicting warfarin dose in a small Caribbean Hispanic population with similar results (<xref ref-type="bibr" rid="B33">Roche-Lima et&#x20;al., 2020</xref>). However, neither study compared new models to the IWPC model. Another study observed improved warfarin dose prediction over IWPC with a nonlinear model using seven additional variables as used in our analysis, but no comparisons were made between linear and nonlinear models in the same cohort(<xref ref-type="bibr" rid="B14">Grossi et&#x20;al., 2014</xref>). While some previous literature suggests nonlinear models may outperform multiple linear regression methods when used to predict warfarin dose, our observations suggest that linear models perform similarly to nonlinear models in diverse populations including a high number of ULLA participants.</p>
<p>Our results also demonstrate the robustness of the IWPC model in a diverse patient population and in ULLA populations. Overall, these results suggest the validity of utilizing IWPC algorithms in patients with Latino/Latin American ethnicity consistent with CPIC guideline recommendations (<xref ref-type="bibr" rid="B18">Johnson et&#x20;al., 2017</xref>). Consistent with this observation, Latino/Latin American ethnicity was not associated with stable warfarin dose in our novel linear model. The median weekly dose was higher in the ULLA cohort, which may have been due to differential allele frequencies in important pharmacogenes (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). The <italic>VKORC1</italic>-1639 A allele frequency was 51.4% in the&#x20;IWPC cohort and just 31.3% in the ULLA, and the percentage of patients carrying a <italic>CYP2C9&#x2a;2</italic> or <italic>&#x2a;3</italic> variant was lower in ULLA (20.4%) than IWPC (26.4%). These observations are consistent with previous literature reporting frequency of these variants in Hispanic and Latino populations (<xref ref-type="bibr" rid="B21">Kaye et&#x20;al., 2017</xref>).</p>
<p>Subgroup analysis of actual-dose groups in our ULLA cohort showed a similar story as the overall results: IWPC performs as well as newly developed and trained models. In the low dose group, there was a stark decline in model accuracy as compared to the IWPC model. This result suggests that initial estimation of dose-groups may facilitate model choice for dose prediction. Latino individuals requiring low doses may benefit the most from dose prediction with the IWPC&#x20;model.</p>
<p>In our ULLA cohort, the IWPC model performed as well numerous models trained in this cohort. This result may be due to a high rate of European admixture in our ULLA cohort, which we were not able to evaluate since sufficient genome-wide data was not available on all ULLA participants. In subgroup analysis of country/territory of enrollment, the Colombian cohort showed a marked advantage in prediction. This improved performance could be due to a larger proportion of European ancestry in this cohort relative to, for instance, our Brazilian cohort which had a higher proportion of self-reported Black participants (<xref ref-type="bibr" rid="B44">Wang et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B34">Salzano and Sans, 2014</xref>). It is also probable that more Latin American participants are included in the publicly available IWPC dataset than are indicated by the Hispanic/Latino ethnicity variable. Multiple data contributors in Latin America were listed in this effort, but only 1 percent of patients were considered Hispanic/Latino and this small number of participants were from multiple sites (<xref ref-type="bibr" rid="B17">International Warfarin Pharmacogenetics Consortium et&#x20;al., 2009</xref>). Our observation that all models had lower accuracy in ULLA participants who self-reported Black or African American race reinforces previous work indicating that IWPC models perform poorly in individuals with African ancestry, in part due to the disregard for <italic>CYP2C9&#x2a;5, &#x2a;6, &#x2a;8,</italic> and <italic>&#x2a;11</italic> alleles(<xref ref-type="bibr" rid="B22">Kimmel et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B7">Drozda et&#x20;al., 2015</xref>).</p>
<p>Current CPIC guidelines for pharmacogenetic-guided warfarin dosing recommend different approaches for patients reporting African ancestry(<xref ref-type="bibr" rid="B18">Johnson et&#x20;al., 2017</xref>). This is largely based on observations from the Clarification of Optimal Anticoagulation through Genetics (COAG) trial, which limited <italic>CYP2C9</italic> genotyping to the <italic>&#x2a;2</italic> and <italic>&#x2a;3</italic> alleles and showed that Black patients spent less time in the therapeutic range in the pharmacogenetics-guided group than in the clinically-guided group(<xref ref-type="bibr" rid="B22">Kimmel et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B10">French et&#x20;al., 2016</xref>). Subsequent analysis showed that not accounting for <italic>CYP2C9</italic> variants common in people with African ancestry lead to significant over-dosing in Black patients. While our analyses suggest that increasing African ancestry leads to poor algorithm performance, our results also suggests that the IWPC clinical model underperforms for ULLA patients with self-reported black race. ULLA patients who report black race might be at risk of overdosing by disregarding genetic information in warfarin dosing, regardless of the presence of <italic>CYP</italic> variants of high predictive value in individuals of African ancestry. This observation may be due to a lower proportion of African ancestry in Black ULLA participants relative to African Americans from the COAG trial. Our observations in specific race and country/territory groups should be interpreted with caution as sample sizes are small after implementing a 70/30&#x20;training-testing&#x20;split.</p>
<p>There are several limitations that are worthy of mention in this study. We were limited by the use of retrospective data to the variables that were included in the publicly available IWPC dataset. Since the publication of IWPC, a number of studies have reported additional warfarin dose predictor variables that might be included in future studies (<xref ref-type="bibr" rid="B3">Asiimwe et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B33">Roche-Lima et&#x20;al., 2020</xref>). While we chose to focus on IWPC, other algorithms such as the Gage et&#x20;al. algorithm might also have been tested. However, the dataset used to derive the Gage et&#x20;al. algorithm was included in the IWPC dataset and both IWPC and Gage et&#x20;al. algorithms have been shown to perform similarly across populations (<xref ref-type="bibr" rid="B39">Shin and Cao, 2011</xref>). Pharmacogenetic information used in this analysis was also limited to <italic>CYP2C9&#x2a;2,&#x2a;3</italic> and <italic>VKORC1-</italic>1639G&#x3e;A, which are variants identified in studies of primarily White populations. <italic>CYP2C9 &#x2a;5,&#x2a;6, &#x2a;8</italic>, and <italic>&#x2a;11</italic> are important in the prediction of warfarin dose in Black or African patients and additional variants in <italic>CALU,</italic> the CYP2C cluster (e.g. rs12777823), and <italic>GGCX</italic> have been shown to affect warfarin dose (<xref ref-type="bibr" rid="B43">Wadelius et&#x20;al., 2005</xref>; <xref ref-type="bibr" rid="B42">Voora et&#x20;al., 2010</xref>). Furthermore, studies have identified the <italic>NQ O 1&#x2a;2</italic> (p. P187S; rs1800566) variant as a contributor to warfarin dose variation in Hispanic and Latino patients, and this genotype information was not available in the IWPC dataset (<xref ref-type="bibr" rid="B6">Bress et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B9">El Rouby et&#x20;al., 2020</xref>). Data from a pharmacogenomic or genome-wide SNP platform would likely provide additional information useful in warfarin dose prediction, including additional CYP variants that are not biased by low MAFs in the discovery population and admixture proportions, both of which have been identified as important warfarin dose prediction variables(<xref ref-type="bibr" rid="B16">Hernandez et&#x20;al., 2020</xref>). Apart from genetic variation, other potential sources of warfarin dose variability, including medication adherence data and environmental exposures such as vitamin K intake, were not available for this analysis.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>In this systematic comparison of nine models, classic linear regression models remained advantageous compared to nonlinear models with respect to prediction accuracy of therapeutic warfarin dose in a large diverse cohort as well as a Hispanic/Latino cohort alone. Our results suggest that the inclusion of additional predictor variables, beyond those used in the IWPC model but often collected during warfarin treatment, may improve accuracy of warfarin stable dose algorithms. Our results also suggest that the IWPC model is accurate for stable dose prediction in populations with Hispanic/Latino ethnicity, with the possible exception of Afro-Latino warfarin users. This result warrants further exploration in additional Hispanic/Latino cohorts with careful consideration for race. Furthermore, our results indicate that the IWPC clinical model performs poorly relative to all other algorithms tested for US Latino and Latin American patients, regardless of whether they report African ancestry.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The datasets analyzed in this study are not publicly available due to privacy/ethical restrictions. Requests to access these datasets should be directed to <ext-link ext-link-type="uri" xlink:href="http://karnes@pharmacy.arizona.edu">karnes@pharmacy.arizona.edu</ext-link>.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by The University of Arizona Institutional Review Board found this study exempt from Human Subject&#x2019;s approvals. Written informed consent for participation was not required for this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>HS, HP, JG, and JK wrote the manuscript; HS, JF, XS and JK designed the research; HS performed the research; HS analyzed the data; NE, KC, LT, MB, LM, JG, CC, MH, SS, LC, DF, JD and PS revised the manuscript and contributed&#x20;data.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work is supported by an institutional career development award from the University of Arizona Health Science Center (JK) and a Seed Grant to Promote Translational Research in Precision Medicine from the Flinn Foundation (JK). JK is supported by the National Heart, Lung, and Blood Institute (NHLBI, K01HL143137, R01 HL158686), JG is supported by the National Institute of Environmental Health Sciences (T32 ES007091), LC is supported by the National Center for Advancing Translational Sciences (UL1TR001427), and JD is supported by the NHLBI (SC1HL123911) and the National Institute of Minority Health Disparities (U54 MD007600). LM is supported by the S&#xe3;o Paulo Research Foundation (FAPESP) (2016/23454-5). PCJLS is supported by FAPESP, the Coordena&#xe7;&#xe3;o de Aperfei&#xe7;oamento de Pessoal de N&#xed;vel Superior-Brazil (CAPES), Programa de Excel&#xea;ncia Acad&#xea;mica (PROEX) and Conselho Nacional de Desenvolvimento Cient&#xed;fico e Tecnol&#xf3;gico (CNPq) (2013/09295-3; 2019/08338-7).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>We would like to thank Cristian Rom&#xe1;n Palacios, PhD for comments on early versions of the manuscript. We would also like to thank Andrea Peralta, BS, Juanita Gonzalez, RN, Echo Fallon, PharmD, Kevin Yee, PharmD, and Amy Kennedy, PharmD for their assistance with this project.</p>
</ack>
<sec id="s12">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fphar.2021.749786/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fphar.2021.749786/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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