Dynamics of the Aggregation of Cells with Internal Oscillators

Dynamics of the Aggregation of Cells with Internal Oscillators | 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 Dynamics of the Aggregation of Cells with Internal Oscillators Tilmann Glimm, Daniel Gruszka This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5046432/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 investigate two closely related Lattice-Gas Cellular Automata models of the interplay of aggregation of biological cells and synchronization of intracellular oscillations ('clocks'): Clock-Dependent Aggregation, where the adhesive forces between cells depend on their relative clock phases (akin to so-called 'swarmaltors'), and Simple Adhesive Aggregation, where they do not. Patterns of aggregation are similar for comparable ranges of parameters. However, while Simple Adhesive Aggregation is quite similar to perikinetic aggregation, we show that Clock-Dependent Aggregation differs in subtle ways. We found that it tends to inhibit coalescence of patterns and regularizes aggregate shapes, and, unintuitively, tends to enhance overall synchronization of clocks. Our results add to the growing literature on swarmalator models and give additional theoretical backing to the previously proposed idea that intracellular oscillatory processes may serve to regularize pattern formation e.g. in chondrogenic condensation in embryonic chicken limbs. Physical sciences/Physics/Biological physics Physical sciences/Mathematics and computing/Computational science Biological sciences/Computational biology and bioinformatics/Computational models Biological sciences/Developmental biology/Pattern formation 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-5046432","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":445981236,"identity":"f0e203ec-dbc1-4df8-8823-fec622693213","order_by":0,"name":"Tilmann Glimm","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAn0lEQVRIiWNgGAWjYDACdsYGIGkD4fAQpYUZpCUhjSQtICLhMAla5J2ZWzfd/HE+ccONBMYHb9uI0GJ4mLHtdk7CbZAWZsO5RGlphmjJ3XYjgU2alwQt50Ba2H8TpUWeGazlANgWZqK0GIC1pCXX7z/zsFlyzjlibGlvf3Y7x8bOWLI9+eCHN2XE2HIAzgQnA2JsIVLdKBgFo2AUjGQAACPlOiragvjYAAAAAElFTkSuQmCC","orcid":"","institution":"Western Washington University","correspondingAuthor":true,"prefix":"","firstName":"Tilmann","middleName":"","lastName":"Glimm","suffix":""},{"id":445981237,"identity":"4e5abf8a-734e-4b72-8fbd-8e63aa965434","order_by":1,"name":"Daniel Gruszka","email":"","orcid":"","institution":"Western Washington University","correspondingAuthor":false,"prefix":"","firstName":"Daniel","middleName":"","lastName":"Gruszka","suffix":""}],"badges":[],"createdAt":"2024-09-06 23:53:24","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5046432/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5046432/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":90670042,"identity":"b08e805a-0dd6-4b55-a349-f8f00fe7ccd6","added_by":"auto","created_at":"2025-09-05 13:23:56","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1070631,"visible":true,"origin":"","legend":"","description":"","filename":"glimmgruszkarevisionCLEANVERSION.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5046432/v1_covered_5c5fa7d5-5e4e-4def-9631-07edffa7d750.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamics of the Aggregation of Cells with Internal Oscillators","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":"","lastPublishedDoi":"10.21203/rs.3.rs-5046432/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5046432/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We investigate two closely related Lattice-Gas Cellular Automata models of the interplay of aggregation of biological cells and synchronization of intracellular oscillations ('clocks'): Clock-Dependent Aggregation, where the adhesive forces between cells depend on their relative clock phases (akin to so-called 'swarmaltors'), and Simple Adhesive Aggregation, where they do not. 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