Nonlinear Adaptive Optimal Controller Design for Anti-Angiogenic Tumor Treatment

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dc.contributor.authorNath, Nitendra
dc.contributor.authorKil, İrfan
dc.contributor.authorHasırcı, Uğur
dc.contributor.authorGroff, Richard E.
dc.contributor.authorBurg, Timothy C.
dc.date.accessioned2023-07-26T11:53:49Z
dc.date.available2023-07-26T11:53:49Z
dc.date.issued2023
dc.departmentDÜ, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.description.abstractAngiogenesis is an important process in tumor growth as it represents the regime when the tumor recruits blood vessels from the surrounding tissue to support further tumor growth. Anti-angiogenic treatments aim to shrink the tumor by interrupting the vascularization of the tumor; however, the anti-angiogenic agents are costly and the tumor response to these agents is nonlinear. Simple dosing schemes, e.g., a constant dose, may yield higher cost or lower efficacy than an approach that considers the tumor system dynamics. Hence, in this study, the administration of anti-angiogenic treatment is considered as a nonlinear control problem. The main aim of the controller design is to optimize the anti-angiogenic tumor therapy, specifically, to minimize the tumor volume and drug dose. Toward this aim, two nonlinear optimal controllers are presented. The first controller ensures exponential tracking of a desired, optimal tumor volume profile under the assumption that all parameters in the system model are known. The second controller, on the other hand, assumes all the parameters are unknown and provides asymptotic tracking. Both controllers take pharmacokinetics and pharmacodynamics into account, as well as the carrying capacity of the vascular network. Lyapunov based arguments are used to design the controllers, using stability arguments, and numerical simulation results are presented to demonstrate the effectiveness of the proposed method.en_US
dc.identifier.doi10.3390/biomedicines11020497
dc.identifier.issn2227-9059
dc.identifier.issue2en_US
dc.identifier.pmid36831033en_US
dc.identifier.scopus2-s2.0-85148878069en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.3390/biomedicines11020497
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12615
dc.identifier.volume11en_US
dc.identifier.wosWOS:000938321700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorHasırcı, Uğur
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofBiomedicinesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectAngiogenesis; Anti-Angiogenic Treatment; Control Systems; Optimal Controlen_US
dc.subjectAntiangiogenic Therapy; Mathematical-Models; Optimal Protocols; Growth; Canceren_US
dc.titleNonlinear Adaptive Optimal Controller Design for Anti-Angiogenic Tumor Treatmenten_US
dc.typeArticleen_US

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