Mathematical Modeling of Neural Impulse Signal Transmission and Biomechanical Dynamics

Mathematical Modeling of Neural Impulse Signal Transmission and Biomechanical Dynamics | 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 Mathematical Modeling of Neural Impulse Signal Transmission and Biomechanical Dynamics Jeongseop Park, Sehwan Yoo, Sungwook Yu, Taikyeong Jeong This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6232584/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 We present a mathematical model and algebraic equations for the dynamic structural analysis of the human musculoskeletal system, including the arms, muscles, and tendons. This analysis incorporates neural impulse signal transmission and other functions of the human musculoskeletal system. The intricate machinery of the human body, spanning from neurons to organs, provides a fundamental basis for the study of larger, complex systems such as human-like robotic systems. To examine the detailed movements of individual muscle groups, mathematical modeling of artificial arms is essential to understand the signal transmission system and the overall mechanism governing the arm bones in the musculoskeletal system. In this paper, we simulate the neural signal transmission system using algebraic equations and explore the model and significance of artificial arms that can be integrated into human-like robots. Our simulation results demonstrate that neural signals can be transmitted as computational values, specifically transitions between 0 and 1 , in the context of human-like robot modeling. Furthermore, this paper provides a mathematical framework to demonstrate that nerve transmission signals act as physical forces, manifesting as electric signals or energy forms akin to human nerve signals. Ultimately, this research represents foundational mathematical modeling that could contribute to the development of robots capable of mimicking human movement, driven by the completion of force or energy transmission via neural impulse pathways within the human musculoskeletal system. Nerve impulse signal Mathematical modeling Algebraic equation Musculoskeletal system Skeletal structure 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-6232584","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":439482576,"identity":"378e2054-7b94-404e-9ef4-0f4d0c6c249d","order_by":0,"name":"Jeongseop Park","email":"","orcid":"","institution":"University of Advancing Technology","correspondingAuthor":false,"prefix":"","firstName":"Jeongseop","middleName":"","lastName":"Park","suffix":""},{"id":439482577,"identity":"70caddd7-9f4d-4105-9758-6b1deca88056","order_by":1,"name":"Sehwan Yoo","email":"","orcid":"","institution":"State University of New York","correspondingAuthor":false,"prefix":"","firstName":"Sehwan","middleName":"","lastName":"Yoo","suffix":""},{"id":439482578,"identity":"b3c11371-7eed-4a51-88cf-5a8df9a9fd5e","order_by":2,"name":"Sungwook Yu","email":"","orcid":"","institution":"Chung-Ang University","correspondingAuthor":false,"prefix":"","firstName":"Sungwook","middleName":"","lastName":"Yu","suffix":""},{"id":439482579,"identity":"7c9c6206-b105-4e31-bfb5-328039db2ad5","order_by":3,"name":"Taikyeong Jeong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA50lEQVRIiWNgGAWjYHCCBBAhZ8DA3HgAIsCGXz0PG0SLsQEDYwPRWsAgcQPRWuzlGx4++LijNn07+8GGw7w5DPL8DWxpHwjYkmw488zx3J09iUAt2xgMZxxgOzyDgJY0ad62Y7kbDkC0MG5gYG8m5Jf030At6QbnH4K12BOjJY2Zt60mweAGxBZgOLAdxq/lWEKy5My2A4YbbjxsODh3m0TyjMNsyXi1sDefSfzwsa1O3uB88sEHb7fZ2Pa3txnj1QK0JwFIQJzCxMMgwcDATEAD0J4DQKIOzGT8QVD1KBgFo2AUjEQAAMM4TC8yPeVFAAAAAElFTkSuQmCC","orcid":"","institution":"Hallym University","correspondingAuthor":true,"prefix":"","firstName":"Taikyeong","middleName":"","lastName":"Jeong","suffix":""}],"badges":[],"createdAt":"2025-03-15 11:38:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6232584/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6232584/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":82514944,"identity":"2df39153-dd61-43d6-af8f-2b25589d3416","added_by":"auto","created_at":"2025-05-12 11:32:08","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1357763,"visible":true,"origin":"","legend":"","description":"","filename":"mathsignalmathresultBMCr3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6232584/v1_covered_d111b66f-a212-4a7a-9351-771e3bfc12ba.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Mathematical Modeling of Neural Impulse Signal Transmission and Biomechanical Dynamics","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":"Nerve impulse signal, Mathematical modeling, Algebraic equation, Musculoskeletal system, Skeletal structure","lastPublishedDoi":"10.21203/rs.3.rs-6232584/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6232584/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe present a mathematical model and algebraic equations for the dynamic structural analysis of the human musculoskeletal system, including the arms, muscles, and tendons. This analysis incorporates neural impulse signal transmission and other functions of the human musculoskeletal system. The intricate machinery of the human body, spanning from neurons to organs, provides a fundamental basis for the study of larger, complex systems such as human-like robotic systems. To examine the detailed movements of individual muscle groups, mathematical modeling of artificial arms is essential to understand the signal transmission system and the overall mechanism governing the arm bones in the musculoskeletal system. In this paper, we simulate the neural signal transmission system using algebraic equations and explore the model and significance of artificial arms that can be integrated into human-like robots. Our simulation results demonstrate that neural signals can be transmitted as computational values, specifically transitions between \u003cem\u003e0\u003c/em\u003e and \u003cem\u003e1\u003c/em\u003e, in the context of human-like robot modeling. Furthermore, this paper provides a mathematical framework to demonstrate that nerve transmission signals act as physical forces, manifesting as electric signals or energy forms akin to human nerve signals. Ultimately, this research represents foundational mathematical modeling that could contribute to the development of robots capable of mimicking human movement, driven by the completion of force or energy transmission via neural impulse pathways within the human musculoskeletal system.\u003c/p\u003e","manuscriptTitle":"Mathematical Modeling of Neural Impulse Signal Transmission and Biomechanical Dynamics","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-04-16 07:33:40","doi":"10.21203/rs.3.rs-6232584/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":"fe4d5f75-674b-4dc5-9cb3-f42169a9e1c7","owner":[],"postedDate":"April 16th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-05-12T11:23:43+00:00","versionOfRecord":[],"versionCreatedAt":"2025-04-16 07:33:40","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-6232584","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6232584","identity":"rs-6232584","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}