Independence and Coherence in Temporal Sequence Computation across the Fronto-Parietal Network | 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 Independence and Coherence in Temporal Sequence Computation across the Fronto-Parietal Network Riichiro Hira, Hiroto Imamura, Fumiya Imamura, Reiko Hira, Yoshikazu Isomura This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7342159/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted You are reading this latest preprint version Abstract Time processing requires distributed and coordinated cortical dynamics. Flexible yet robust temporal representations can arise from two distinct computational modes: a coherence mode, where multiple cortical areas hold the same elapsed-time estimate, and an independence mode, where each area maintains its own local estimate. However, how the brain switches between these modes has remained unknown. Using mesoscale two-photon calcium imaging, we simultaneously recorded neuronal populations in the secondary motor cortex (M2) and posterior parietal cortex (PPC) of mice performing a novel alternating-interval timing task. Both areas encoded elapsed time through similar high-dimensional sequential activity. Decoding analyses revealed that the fronto-parietal network has both independent and coherent temporal codes. Communication-subspace analysis showed that temporal information was distributed across multiple low-variance subspaces, whereas the largest subspace preferentially encoded behaviour. A twin recurrent neural network (RNN) model with sparse inter-RNN connections and shared high-variance noise reproduced these experimental findings. Moreover, perturbations applied along the dominant shared subspace paradoxically enhanced independence between the two networks. Through a mathematical formalization based on the local Lyapunov exponents, we uncovered how perturbations along different subspaces selectively evoke either independent or coherent communication mode. Together, these results reveal a principle by which fronto-parietal circuits achieve robust yet flexible computation through the interplay of sparse coupling and shared global fluctuations. Biological sciences/Neuroscience/Neural circuits Biological sciences/Neuroscience/Cognitive neuroscience Corticocortical communication temporal representation secondary motor cortex posterior parietal cortex large FOV two-photon calcium imaging Twin-RNN attractor dynamics local Lyapunov exponent Full Text Additional Declarations There is NO Competing Interest. Supplementary Files suppleinfo20250729submit.pdf Supplementary information Cite Share Download PDF Status: Under Review 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. 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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-7342159","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":509216734,"identity":"c3889694-1e50-4cad-90d1-ac967583f83f","order_by":0,"name":"Riichiro Hira","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVRIiWNgGAWjYDACZsYGZgYDBgYDZiDnAxCzsZOihXEGSAszMRaBCAMQgwfOxQPM25kbPxcU3JMzZ+d9+Nnm1zZ5PmYGxg8fc3BrkTnM2Cw9w6DY2LKZ3Vg6t++2YRszA7PkzG24tUgwM7Yx8xgkJG44zMYgndtzG8gFeoeXSC3Mvy17btuTpIVNmuHH7URitDRLA7UYGwC1WPY23E5uA4rg9wv/8Yefef4kyBmcP8Z848ef27bz25sPfviIRwsqYGwDkw3EqgeBP6QoHgWjYBSMgpECAAszQze9XQbVAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-8719-4498","institution":"Institute of Science Tokyo","correspondingAuthor":true,"prefix":"","firstName":"Riichiro","middleName":"","lastName":"Hira","suffix":""},{"id":509216735,"identity":"448cecfc-4f53-434f-a0f2-8c055a66c0d5","order_by":1,"name":"Hiroto Imamura","email":"","orcid":"","institution":"Institute of Science Tokyo","correspondingAuthor":false,"prefix":"","firstName":"Hiroto","middleName":"","lastName":"Imamura","suffix":""},{"id":509216736,"identity":"eb6751e0-6533-42a4-9b37-575696da269e","order_by":2,"name":"Fumiya Imamura","email":"","orcid":"","institution":"Institute of Science Tokyo","correspondingAuthor":false,"prefix":"","firstName":"Fumiya","middleName":"","lastName":"Imamura","suffix":""},{"id":509216737,"identity":"dba6cad0-f7d9-4a83-9889-56eda8fca84a","order_by":3,"name":"Reiko Hira","email":"","orcid":"","institution":"Institute of Science Tokyo","correspondingAuthor":false,"prefix":"","firstName":"Reiko","middleName":"","lastName":"Hira","suffix":""},{"id":509216738,"identity":"53d03971-1ceb-4227-8de6-3bfbbdb8db41","order_by":4,"name":"Yoshikazu Isomura","email":"","orcid":"","institution":"Institute of Science Tokyo","correspondingAuthor":false,"prefix":"","firstName":"Yoshikazu","middleName":"","lastName":"Isomura","suffix":""}],"badges":[],"createdAt":"2025-08-11 04:20:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7342159/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7342159/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":91679221,"identity":"0d700bb8-26eb-4e07-8cf5-6d7e5c61ec08","added_by":"auto","created_at":"2025-09-19 06:13:37","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1967625,"visible":true,"origin":"","legend":"Article File","description":"","filename":"HImanuscriptNversion20250811submit.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7342159/v1_covered_4cfbc07b-eb2e-41ce-8cc2-27b11581cfab.pdf"},{"id":91677945,"identity":"8a7a06fb-0f73-4111-9ce1-7104f5b2f3d4","added_by":"auto","created_at":"2025-09-19 06:05:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":219178,"visible":true,"origin":"","legend":"Supplementary information","description":"","filename":"suppleinfo20250729submit.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7342159/v1/a38a3d3ddc449967623b7d01.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Independence and Coherence in Temporal Sequence Computation across the Fronto-Parietal Network","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"
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