Mathematical analysis and simulations involving chemotherapy and surgery on large human tumours under a suitable cell-kill functional response

Página do item simplificado
dc.contributor.authorRodrigues, Diego Samuel
dc.contributor.authorDe Arruda Mancera, Paulo Fernando [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:28:21Z
dc.date.available2014-05-27T11:28:21Z
dc.date.issued2013-02-01
dc.description.abstractDosage and frequency of treatment schedules are important for successful chemotherapy. However, in this work we argue that cell-kill response and tumoral growth should not be seen as separate and therefore are essential in a mathematical cancer model. This paper presents a mathematical model for sequencing of cancer chemotherapy and surgery. Our purpose is to investigate treatments for large human tumours considering a suitable cell-kill dynamics. We use some biological and pharmacological data in a numerical approach, where drug administration occurs in cycles (periodic infusion) and surgery is performed instantaneously. Moreover, we also present an analysis of stability for a chemotherapeutic model with continuous drug administration. According to Norton & Simon [22], our results indicate that chemotherapy is less eficient in treating tumours that have reached a plateau level of growing and that a combination with surgical treatment can provide better outcomes.en
dc.description.affiliationUniversidade de São Paulo Depto de Matemàtica Aplicada e Estatística USP, 13560-970, São Carlos
dc.description.affiliationUniversidade Estadual Paulista Depto de Bioestatística UNESP, 18618-970, Botucatu
dc.description.affiliationUnespUniversidade Estadual Paulista Depto de Bioestatística UNESP, 18618-970, Botucatu
dc.format.extent221-234
dc.identifierhttp://dx.doi.org/10.3934/mbe.2013.10.221
dc.identifier.citationMathematical Biosciences and Engineering, v. 10, n. 1, p. 221-234, 2013.
dc.identifier.doi10.3934/mbe.2013.10.221
dc.identifier.issn1547-1063
dc.identifier.issn1551-0018
dc.identifier.scopus2-s2.0-84874695009
dc.identifier.urihttp://hdl.handle.net/11449/74547
dc.identifier.wosWOS:000312484900013
dc.language.isoeng
dc.relation.ispartofMathematical Biosciences and Engineering
dc.relation.ispartofjcr1.230
dc.relation.ispartofsjr0,589
dc.relation.ispartofsjr0,589
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectChemotherapy
dc.subjectMathematical modelling
dc.subjectNorton-Simon hypothesis
dc.subjectTumour
dc.subjectantineoplastic agent
dc.subjectalgorithm
dc.subjectbiological model
dc.subjectconference paper
dc.subjectdrug therapy
dc.subjecthuman
dc.subjectkinetics
dc.subjectmethodology
dc.subjectneoplasm
dc.subjectoncology
dc.subjectpathology
dc.subjectstatistical model
dc.subjectAlgorithms
dc.subjectAntineoplastic Agents
dc.subjectDrug Therapy
dc.subjectHumans
dc.subjectKinetics
dc.subjectMedical Oncology
dc.subjectModels, Biological
dc.subjectModels, Statistical
dc.subjectNeoplasms
dc.titleMathematical analysis and simulations involving chemotherapy and surgery on large human tumours under a suitable cell-kill functional responseen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://aimsciences.org/journals/tex-sample/CopyRightAgreement.pdf
unesp.author.orcid0000-0002-2080-8053[2]
unesp.author.orcid0000-0002-0016-1715[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Botucatupt

Arquivos

Coleções

Artigos - Bioestatística - IBB