A QSP PDE Model of Adc Transport and Kinetics in Agrowing or Shrinking Tumor

A QSP PDE Model of Adc Transport and Kinetics in Agrowing or Shrinking Tumor | 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 A QSP PDE Model of Adc Transport and Kinetics in Agrowing or Shrinking Tumor David Ross, Antonio Cabal This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6414876/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 19 Oct, 2025 Read the published version in Journal of Pharmacokinetics and Pharmacodynamics → Version 1 posted 9 You are reading this latest preprint version Abstract When a tumor is treated with an antibody-drug conjugate (ADC) complex biochemistry occurs in a domain--the tumor--whose size and structure are changing. Some parts of the tumor may be growing because tumor cells proliferate. Other parts may be stagnant, or nearly so, because the cells there have been damaged by the cytotoxin. Still others may be shrinking because the cells there have been killed by the cytotoxin and are being cleared. Chemical concentrations within the tumor, which influence kinetics and transport, change as the tumor grows or shrinks. Cell surface antigen, to which ADCs are designed to bind, is lost when cells are cleared and is freshly introduced when cells proliferate. For these reasons, and because shrinking the tumor by killing its cells is the purpose of ADC treatment, it is important in a quantitative systems pharmacology (QSP) approach to the problem to model the evolution of tumor size and structure over the course of ADC treatment. In this paper we present a partial differential equation (PDE) model of ADC transport and kinetics in a growing and shrinking Krogh cylinder tumor. Quantitative systems pharmacology (QSP) partial differential equations ordinary differential equations antibody-drug conjugates (ADC) Full Text Additional Declarations Competing interest reported. The authors are employees of Eisai, Inc. Supplementary Files RossandCabalADCQSPSupplement.zip Cite Share Download PDF Status: Published Journal Publication published 19 Oct, 2025 Read the published version in Journal of Pharmacokinetics and Pharmacodynamics → Version 1 posted Editorial decision: Revision requested 21 Jun, 2025 Reviews received at journal 20 Jun, 2025 Reviews received at journal 09 Jun, 2025 Reviewers agreed at journal 27 May, 2025 Reviewers agreed at journal 24 May, 2025 Reviewers invited by journal 24 Apr, 2025 Editor assigned by journal 11 Apr, 2025 Submission checks completed at journal 11 Apr, 2025 First submitted to journal 09 Apr, 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. 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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-6414876","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":447277207,"identity":"11cda371-bdfb-43cd-8d40-efc31534ae8e","order_by":0,"name":"David Ross","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIie2QsQrCMBCGT4R0OenaQfQVUgRH+yoJQid9AgcLgqurg+ArFATnSLAuAdeOiqCLg906lGKqi1PT0SEfHLmD++D+AFgsf0igSyCU+mkLYABoVPzoo0jdEtZMoQKqtUpB2uwwelK+eILs9Vcqu1yKURcceYxrFTWhhw2UA5pOd5QvxwgYhmn9YSGTCDmPvc7e41EbwcNhvXK+V4ri25V65KyYN1DSsdBKwiMxIcCINCv++iZ0FqmzhAOPL09ITFkCly9e3x+T1ywvZoHryKRW+dAqfwZiXLdYLBaLkTcSKFBf3NkMxQAAAABJRU5ErkJggg==","orcid":"","institution":"Eisai (United States)","correspondingAuthor":true,"prefix":"","firstName":"David","middleName":"","lastName":"Ross","suffix":""},{"id":447277209,"identity":"6a8c422b-8b2f-4181-b2c0-16d581e6ec57","order_by":1,"name":"Antonio Cabal","email":"","orcid":"","institution":"Eisai (United States)","correspondingAuthor":false,"prefix":"","firstName":"Antonio","middleName":"","lastName":"Cabal","suffix":""}],"badges":[],"createdAt":"2025-04-09 21:53:04","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6414876/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6414876/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10928-025-10001-y","type":"published","date":"2025-10-19T15:57:27+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":93956672,"identity":"298b5238-0c31-4656-adba-17e3c17ccb1b","added_by":"auto","created_at":"2025-10-20 16:11:53","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":998146,"visible":true,"origin":"","legend":"","description":"","filename":"RossandCabalADCQSPPaper.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6414876/v1_covered_917dd40a-8bdf-48f8-9c21-f23cceeec9e7.pdf"},{"id":82162458,"identity":"a44ff928-b2a5-4bfb-8742-148a4922e21a","added_by":"auto","created_at":"2025-05-07 08:45:54","extension":"zip","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":231859,"visible":true,"origin":"","legend":"","description":"","filename":"RossandCabalADCQSPSupplement.zip","url":"https://assets-eu.researchsquare.com/files/rs-6414876/v1/f2fb6887e8a67ce7f37f5dd4.zip"}],"financialInterests":"Competing interest reported. 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