Statin Therapy Alters the Distribution of the LDL-C/HDL-C Ratio: A Weibull Modeling Study | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Statin Therapy Alters the Distribution of the LDL-C/HDL-C Ratio: A Weibull Modeling Study Natsuki Nakayama, Kuniharu Imai, Shiori Niwa, Yoshimi Moriwaki, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9044847/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Background Cardiovascular disease remains a major global health burden, and quantitative lipid indicators are essential for accurate risk stratification. Among these, the low-density lipoprotein to high-density lipoprotein (LDL/HDL) cholesterol ratio is a stronger predictor of atherosclerotic risk than LDL-C or HDL-C alone. Although statins effectively reduce LDL-C levels, adherence remains suboptimal in real-world settings. Because atherosclerosis reflects progressive vascular deterioration, Weibull modeling—commonly used to describe aging and failure processes—offers a quantitative framework for evaluating lipid dynamics beyond mean-based analyses. This study examined the relationship between the LDL/HDL ratio and atherosclerotic progression using Weibull analysis and assessed the influence of statin therapy on its statistical behavior. Methods Ninety-eight patients were classified into statin-treated (STG, n = 50) and non–statin-treated (no-STG, n = 48) groups. The LDL/HDL ratio was analyzed using Weibull modeling to estimate shape (α) and scale (β) parameters. Results In the no-STG group, the LDL/HDL ratio approximated a Gaussian distribution (r = 0.99, α = 3.56). In contrast, the STG group showed a Rayleigh-type distribution (r = 0.98, β = 0.76, α = 2.04). Conclusions These findings suggest that statin therapy alters the distributional structure of lipid ratios and support an LDL/HDL ratio of 2.5 as a clinically meaningful threshold for risk stratification. Dyslipidemia LDL/HDL ratio Statin Weibull analysis Gaussian model Rayleigh model Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9044847","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":605339984,"identity":"59001f7a-65e9-4a8f-99b8-42db7727895f","order_by":0,"name":"Natsuki Nakayama","email":"data:image/png;base64,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","orcid":"","institution":"Nagoya University","correspondingAuthor":true,"prefix":"","firstName":"Natsuki","middleName":"","lastName":"Nakayama","suffix":""},{"id":605339985,"identity":"d351c07d-f70d-4ce5-9739-b9c302e804bf","order_by":1,"name":"Kuniharu Imai","email":"","orcid":"","institution":"Nagoya University","correspondingAuthor":false,"prefix":"","firstName":"Kuniharu","middleName":"","lastName":"Imai","suffix":""},{"id":605339986,"identity":"07292515-f0bc-41e4-902a-a4412fbc466e","order_by":2,"name":"Shiori Niwa","email":"","orcid":"","institution":"Nagoya University","correspondingAuthor":false,"prefix":"","firstName":"Shiori","middleName":"","lastName":"Niwa","suffix":""},{"id":605339987,"identity":"c235eb77-07cf-4689-8128-0668dead62e2","order_by":3,"name":"Yoshimi Moriwaki","email":"","orcid":"","institution":"Nagoya University","correspondingAuthor":false,"prefix":"","firstName":"Yoshimi","middleName":"","lastName":"Moriwaki","suffix":""},{"id":605339988,"identity":"4c133b20-ba34-4893-b35e-a171311755b2","order_by":4,"name":"Nozomi Furukawa","email":"","orcid":"","institution":"Nagoya University","correspondingAuthor":false,"prefix":"","firstName":"Nozomi","middleName":"","lastName":"Furukawa","suffix":""},{"id":605339989,"identity":"51b96cfc-45c0-473c-a0fb-be5fc110bcaa","order_by":5,"name":"Makoto Hirai","email":"","orcid":"","institution":"Nagoya University","correspondingAuthor":false,"prefix":"","firstName":"Makoto","middleName":"","lastName":"Hirai","suffix":""}],"badges":[],"createdAt":"2026-03-06 01:23:10","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9044847/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9044847/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":104857704,"identity":"c78f4224-7290-40b7-9133-559cc8e9e8b9","added_by":"auto","created_at":"2026-03-18 04:10:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":463682,"visible":true,"origin":"","legend":"","description":"","filename":"Main0305.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9044847/v1_covered_a7902744-838d-4ff1-adb0-2c142a4dc57e.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Statin Therapy Alters the Distribution of the LDL-C/HDL-C Ratio: A Weibull Modeling Study","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Dyslipidemia, LDL/HDL ratio, Statin, Weibull analysis, Gaussian model, Rayleigh model","lastPublishedDoi":"10.21203/rs.3.rs-9044847/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9044847/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003e\u003cstrong\u003eBackground\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eCardiovascular disease remains a major global health burden, and quantitative lipid indicators are essential for accurate risk stratification. Among these, the low-density lipoprotein to high-density lipoprotein (LDL/HDL) cholesterol ratio is a stronger predictor of atherosclerotic risk than LDL-C or HDL-C alone. Although statins effectively reduce LDL-C levels, adherence remains suboptimal in real-world settings. Because atherosclerosis reflects progressive vascular deterioration, Weibull modeling—commonly used to describe aging and failure processes—offers a quantitative framework for evaluating lipid dynamics beyond mean-based analyses.\u003c/p\u003e\n\u003cp\u003eThis study examined the relationship between the LDL/HDL ratio and atherosclerotic progression using Weibull analysis and assessed the influence of statin therapy on its statistical behavior.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eMethods\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNinety-eight patients were classified into statin-treated (STG, n = 50) and non–statin-treated (no-STG, n = 48) groups. The LDL/HDL ratio was analyzed using Weibull modeling to estimate shape (α) and scale (β) parameters.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eResults\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eIn the no-STG group, the LDL/HDL ratio approximated a Gaussian distribution (r = 0.99, α = 3.56). In contrast, the STG group showed a Rayleigh-type distribution (r = 0.98, β = 0.76, α = 2.04).\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eConclusions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThese findings suggest that statin therapy alters the distributional structure of lipid ratios and support an LDL/HDL ratio of 2.5 as a clinically meaningful threshold for risk stratification.\u003c/p\u003e","manuscriptTitle":"Statin Therapy Alters the Distribution of the LDL-C/HDL-C Ratio: A Weibull Modeling Study","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-03-13 07:17:23","doi":"10.21203/rs.3.rs-9044847/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"51684c03-df32-488c-af59-23058d4b3880","owner":[],"postedDate":"March 13th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-03-18T04:09:38+00:00","versionOfRecord":[],"versionCreatedAt":"2026-03-13 07:17:23","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9044847","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9044847","identity":"rs-9044847","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.