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Optimal control of variable-order fractional model for delay cancer treatments

2021Journal article Embargoed access
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dc.contributor.authorSweilam, N.H.
dc.contributor.authorAL-Mekhlafi, S.M.
dc.contributor.authorAlbalawi, A.O.
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2021-09-29T11:28:05Z
dc.date.embargo2031-12
dc.date.issued2021
dc.description.abstractThis article presents a fractional-order mathematical model of the biological phenomena that occur in cancer therapy. The formulation generalizes the one proposed by Soto-Ortiza and Finley that consists of eighteen integer order differential equations and intends to serve as a platform for cancer treatment design. The fractional model is used to test the hypothesis that a combination of anti-Vascular Endothelial Growth Factor (VEGF) treatment with immunotherapy, involving injections of unlicensed dendritic cells (DC), can lead to the tumor eradication by concealing the suppressor VEGF. The new approach adopts derivatives defined in the Caputo sense and implements an optimal control strategy. Two control variables, one for immunotherapy and another for anti-angiogenic therapy, are considered for reducing the number of the cancer cells. Moreover, two numerical methods are introduced and their stability analysis is studied. Numerical simulations illustrate the proposed concepts.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.apm.2020.08.012pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/18618
dc.language.isoengpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0307904X20304418pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectVariable-order fractional delay differential equationspt_PT
dc.subjectCancer treatmentpt_PT
dc.subjectImmunotherapypt_PT
dc.subjectAnti-Angiogenic therapypt_PT
dc.subjectGeneralized euler methodpt_PT
dc.subjectNonstandard finite difference methodpt_PT
dc.titleOptimal control of variable-order fractional model for delay cancer treatmentspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1574pt_PT
oaire.citation.startPage1557pt_PT
oaire.citation.titleApplied Mathematical Modellingpt_PT
oaire.citation.volume89pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsembargoedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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