The BROCODE model: A novel mathematical model for the Briggs-Rauscher reaction

The BROCODE model: A novel mathematical model for the Briggs-Rauscher reaction | 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 The BROCODE model: A novel mathematical model for the Briggs-Rauscher reaction Heath Dimsey, Lawrence K. Forbes, Andrew P. Bassom This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6765229/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 18 Jul, 2025 Read the published version in Journal of Mathematical Chemistry → Version 1 posted 8 You are reading this latest preprint version Abstract We propose a new mathematical model of the Briggs-Rauscher reaction. This is an oscillatory phenomenon which is characterised by fluctuations in the concentrations of the various chemicals involved. A well-regarded existing model involves a complex reaction mechanism described by 15 differential equations. We derive a novel approximate mathematical model that consists only of three equations, for the concentrations of iodous acid, ionic iodide, and molecular iodine. We demonstrate that this three-variable approximation is nevertheless in good agreement with the predictions of far more elaborate models, and it offers the possibility of yielding to detailed mathematical analysis not available with more complex models. We show that our novel three-variable description is in excellent accord with previously-reported experimental work. It is able to reproduce key details of the observed periodic oscillations, including their period and amplitude and precise features of their behaviour with time. Briggs-Rauscher reaction mathematical model numerical simulation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 18 Jul, 2025 Read the published version in Journal of Mathematical Chemistry → Version 1 posted Editorial decision: Revision requested 12 Jun, 2025 Reviews received at journal 12 Jun, 2025 Reviewers agreed at journal 03 Jun, 2025 Reviewers agreed at journal 02 Jun, 2025 Reviewers invited by journal 01 Jun, 2025 Editor assigned by journal 29 May, 2025 Submission checks completed at journal 29 May, 2025 First submitted to journal 28 May, 2025 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-6765229","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":470472785,"identity":"eb64f1d3-76bb-416d-a035-5b4ea753c25b","order_by":0,"name":"Heath Dimsey","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAElEQVRIiWNgGAWjYBACgwMMDMxAxAPmfYCKShDQwtgM08I4g8GAeC1gDlAjMVqONz9/XMBgLaPbf/iYtG3bH3n5BuaDt3kY7BIbcGixP3PMsHkGQzqP2Y20NOncNgPDDQfYkq15GJJxajG4kWDYzMNwGKiFxwykhXEDA5DBw8CMW8v95x8hWs6f/yZt2WZgP7+B/xtQSz0eW3igthzIYZNmbDNIbDjAwwbUchi3ljM5hbN5DMB+MbbsOWecvOEwm7HlHIPjxji1HD++4TNPhbW92fnDD2/8KJOznd/e/PDGm4pqWVxaoBrBJAskOpgRIgQB8wfCakbBKBgFo2AkAgAnm1Qk9pdzcwAAAABJRU5ErkJggg==","orcid":"","institution":"University of Tasmania","correspondingAuthor":true,"prefix":"","firstName":"Heath","middleName":"","lastName":"Dimsey","suffix":""},{"id":470472786,"identity":"00bef5fd-1ce6-4dc9-ad19-1eb3deed543f","order_by":1,"name":"Lawrence K. 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