Chemotherapy for Cancer Treatment: An L1 Optimal Control Approach

Chemotherapy for Cancer Treatment: An L1 Optimal Control Approach | 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 Chemotherapy for Cancer Treatment: An L1 Optimal Control Approach Akansha Rautela, Neetish, Riddhi Mohan Bora, Bhabani Shankar Dey, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2746496/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 Chemotherapy as a cancer treatment has garnered much scientific interest in recent years. Chemotherapy is essential for the elimination of cancer cells to the greatest extent possible. Clinical studies demonstrate a predictable trajectory of tumor volume after chemotherapy. However, the standard dose regimens often utilized in chemotherapy have substantial toxicity and little therapeutic value. Consequently, optimum drug dosage is crucial for effectively reducing the tumor size to a defined level while tracking a predefined course. This work establishes optimum control theory with L1-norm based cost function to discover the inputs that decrease the difference between real tumor growth and goal size to improve treatment efficacy while minimizing the side effects. Because of the bang-off nature of the L1-norm control profile, intermittent drug dosing is possible. This study also compares and contrasts the findings with the cost function based on L2-norm. Simulation findings validate the performance of the proposed control scheme for chemotherapy. Further study is needed to confirm the procedures in clinical situations and optimize the regimens for individual patients. Chemotherapy cancer treatment optimal control L1 and L2 cost function intermittent strategy Full Text Additional Declarations 1. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. 2. All authors declare that they have no conflicts of interest. 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. 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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-2746496","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":187141237,"identity":"3da40c0d-d12d-487e-9d88-12ed2f8850aa","order_by":0,"name":"Akansha Rautela","email":"data:image/png;base64,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","orcid":"","institution":"Indian Institute of Technology Delhi","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Akansha","middleName":"","lastName":"Rautela","suffix":""},{"id":187141238,"identity":"4758e700-782b-4a43-b536-6ea30dcc46ed","order_by":1,"name":"Neetish","email":"","orcid":"","institution":"Indian Institute of Technology Delhi","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"","middleName":"","lastName":"Neetish","suffix":""},{"id":187141239,"identity":"fa90614d-4fc6-4cc3-99ef-5075e63c8f01","order_by":2,"name":"Riddhi Mohan Bora","email":"","orcid":"","institution":"Indian Institute of Technology Delhi","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Riddhi","middleName":"Mohan","lastName":"Bora","suffix":""},{"id":187141240,"identity":"6d9a9f7c-fc1f-4398-afe1-bcc4382a7c1f","order_by":3,"name":"Bhabani Shankar Dey","email":"","orcid":"","institution":"Indian Institute of Technology Delhi","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Bhabani","middleName":"Shankar","lastName":"Dey","suffix":""},{"id":187141241,"identity":"a97a7c83-97ab-4388-94e6-103ecf97b99f","order_by":4,"name":"Chayan Kumar Paul","email":"","orcid":"","institution":"Indian Institute of Technology Delhi","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Chayan","middleName":"Kumar","lastName":"Paul","suffix":""}],"badges":[],"createdAt":"2023-03-28 10:35:53","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":true,"conflictsOfInterestStatement":true,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":true,"coiExplicitlySet":false},"doi":"10.21203/rs.3.rs-2746496/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2746496/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":35419801,"identity":"7a7f3a81-7978-4a51-9464-5df1c8fd295b","added_by":"auto","created_at":"2023-04-06 22:08:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":208658,"visible":true,"origin":"","legend":"","description":"","filename":"IEEE2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2746496/v1_covered.pdf"}],"financialInterests":"\u003cp\u003e1. 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