Study of electrical conduction processes in blood vessels using cable theory

Study of electrical conduction processes in blood vessels using cable theory | 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 Study of electrical conduction processes in blood vessels using cable theory Natela Zirakashvili, Teona Zirakashvili This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5788233/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 Traditionally, the electrical conduction processes in blood vessels are explained using cable theory where locally generated signals (membrane potential ) passively spread along the arteriolar wall. As a rule, decomposition is quantified, with a constant of length derived from cable theory. Using cable theory on blood vessels depends on assumptions that may not be necessarily performed for small arteries and arterioles. It is known that arterioles are composed of at least two layers of cells: endothelial cells (EC) and one or more layers of smooth muscle cells (SMC), which are connected by myoendothelial gap junctions (MEGJ). In this study, arterioles composed of two cell layers are studied, focusing on changes in membrane potential within both EC and SMC layers. A suitable stationary problem is formulated and solved analytically using the method of separation of variables. Additionally, numerical modelling of membrane potential propagation is conducted using MATLAB software. Isopotential contours of the membrane, as well as two-dimensional and three-dimensional graphs depicting the numerical results, are presented in the study. Mathematics Subject Classification. 35Q92, 35J05, 74B99, 35F15 Cable equation membrane potential arteriole endothelial cell layers smooth muscle cell layers separation variables method 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-5788233","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":466617806,"identity":"194a6acc-6662-46c3-a9c1-bf55b856f7b0","order_by":0,"name":"Natela Zirakashvili","email":"data:image/png;base64,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","orcid":"","institution":"Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University","correspondingAuthor":true,"prefix":"","firstName":"Natela","middleName":"","lastName":"Zirakashvili","suffix":""},{"id":466617807,"identity":"2aea675c-d377-4cc5-abb9-ab12affbd3f5","order_by":1,"name":"Teona Zirakashvili","email":"","orcid":"","institution":"Tbilisi Heart and Vascular Clinic, LTD","correspondingAuthor":false,"prefix":"","firstName":"Teona","middleName":"","lastName":"Zirakashvili","suffix":""}],"badges":[],"createdAt":"2025-01-08 10:38:31","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5788233/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5788233/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":84036275,"identity":"6416b366-91f0-4478-9a02-66aefd420367","added_by":"auto","created_at":"2025-06-06 04:10:45","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":488959,"visible":true,"origin":"","legend":"","description":"","filename":"gazavnili2405.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5788233/v1_covered_837c5eca-164a-4fc4-a84b-3da36e8355ba.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Study of electrical conduction processes in blood vessels using cable theory","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"Cable equation, membrane potential, arteriole, endothelial cell layers, smooth muscle cell layers, separation variables method","lastPublishedDoi":"10.21203/rs.3.rs-5788233/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5788233/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTraditionally, the electrical conduction processes in blood vessels are explained using cable theory where locally generated signals (membrane potential ) passively spread along the arteriolar wall. 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