Robust optimization and stochastic simulation of a centrifugal blood pump under uncertain conditions

Robust optimization and stochastic simulation of a centrifugal blood pump under uncertain conditions | 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 Article Robust optimization and stochastic simulation of a centrifugal blood pump under uncertain conditions Mohamad Sadeq Karimi, Mohammad Alihosseini This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8817205/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 11 You are reading this latest preprint version Abstract The current paper aims to robustly optimize a blood pump by reducing its sensitivity to operational uncertainties. Moreover, the effects of physical and operational uncertainties on the hydrodynamic and hemocompatibility characteristics of the robust optimized centrifugal blood pump are investigated. The baseline design is a centrifugal blood pump inspired by a commercial pump used as a left ventricular assist device. The numerical analysis is performed using the SST k-omega turbulence model and a power-law model of hemolysis. The physical and operational conditions are considered to be uncertain with Beta probability distribution functions. For quantification of the uncertainties, the non-intrusive polynomial chaos method is used, and the assessment of each stochastic parameter’s influence on the quantities of interest, that is, the sensitivity analysis, the Sobol’ indices are utilized. The primary objective of the present study is to minimize the variation in the pump's efficiency and head coefficient while maintaining the pump's operating point, ensuring that the maximum hemolysis index of the robust optimum design does not exceed that of the baseline design. To this end, robust optimization is carried out via a hybrid evolutionary algorithm. The optimization results clearly show that the robust optimum design is less sensitive to the physical and operational uncertainties. Furthermore, sensitivity analysis is in accordance with theories of turbomachines. Pump efficiency and the maximum hemolysis index are primarily influenced by the variations in blood viscosity, while the head coefficient is mainly affected by rotational speed and flow rate. The pump’s velocity field is greatly affected by the mass flow rate in the diffuser regions and the rotational speed in other zones. Physical sciences/Energy science and technology Physical sciences/Engineering Physical sciences/Mathematics and computing Physical sciences/Physics Robust Optimization Uncertainty Quantification Stochastic Condition Centrifugal Blood Pump LVAD Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Revision requested 16 Apr, 2026 Reviews received at journal 15 Apr, 2026 Reviewers agreed at journal 23 Mar, 2026 Reviews received at journal 08 Mar, 2026 Reviewers agreed at journal 24 Feb, 2026 Reviewers agreed at journal 21 Feb, 2026 Reviewers invited by journal 20 Feb, 2026 Editor assigned by journal 19 Feb, 2026 Editor invited by journal 17 Feb, 2026 Submission checks completed at journal 15 Feb, 2026 First submitted to journal 15 Feb, 2026 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. 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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-8817205","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":595036144,"identity":"15390bdb-415c-4d4d-8244-b78f51135aa2","order_by":0,"name":"Mohamad Sadeq Karimi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/klEQVRIie3OMUsDMRjG8acc6HLgeiW030B44eA6XGm/isdBbknBsYNDJ7vUzvotbnWLBnS59tZApy6di4KLok1OXMQLHR3yH14SyI83gM/3LwvtCBCZKUFDkD1Mgc7sSMK/SXUsMamGwEXO5zcPL/oqRXe+2j7qy3o8OF1tpcSwV8q/SVKtcyaeCrCwICVok90vCjKEx61EC2LiRKEPDksuSJrDHipzkPhdfBpytrNkPaZ6B7Ply0USNrlWYFGzRXZKzS2R7aSqknSyLMLubbMlz0ptt1Ae37WR50W8EW9pP6p58Co+RuZjPNjL6ai3bCE/hb/u5H7u8/l8PncH/phm+59sU9cAAAAASUVORK5CYII=","orcid":"","institution":"Sharif University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Mohamad","middleName":"Sadeq","lastName":"Karimi","suffix":""},{"id":595036145,"identity":"fec5f9d8-f4fb-4bf9-828d-e881678f192e","order_by":1,"name":"Mohammad Alihosseini","email":"","orcid":"","institution":"Sharif University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Mohammad","middleName":"","lastName":"Alihosseini","suffix":""}],"badges":[],"createdAt":"2026-02-07 17:38:26","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8817205/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8817205/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":103507330,"identity":"22f2ab37-db60-4d7a-a181-3c7f2fd5380c","added_by":"auto","created_at":"2026-02-26 13:41:02","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":14850204,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8817205/v1_covered_e4b1f8eb-de5c-4521-9517-820af490798f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Robust optimization and stochastic simulation of a centrifugal blood pump under uncertain conditions","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Robust Optimization, Uncertainty Quantification, Stochastic Condition, Centrifugal Blood Pump, LVAD","lastPublishedDoi":"10.21203/rs.3.rs-8817205/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8817205/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The current paper aims to robustly optimize a blood pump by reducing its sensitivity to operational uncertainties. 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