A mathematical model for the estimation of treatment cost in cancer radiotherapy

Detalhes bibliográficos
Autor(a) principal: Wahl, Suzi Darli
Data de Publicação: 2010
Outros Autores: Feldmann, Gerson, Foletto, Tanísia de Carli
Tipo de documento: Artigo
Idioma: por
Título da fonte: Vetor (Online)
Texto Completo: https://periodicos.furg.br/vetor/article/view/1659
Resumo: In this work we present a methodology for the investigation of costs of cancer treatment by radiotherapy, aiming to reduce the undesired effects of radiation and to obtain better results of the treatment. The tumor growth is simulated by using a mathematical model composed of three ordinary diferential equations corresponding to the population of Normal, Tumoral and Imune cells. The effect of radiation over each type of cells is considered using the linear quadratic model applied for the various distinct treatment protocols investigated. Cost of treatment is obtained using a model based on the concept of tumor cure probability, cost per fraction and cost of failure. The concept of biological effective dose is used in order to compare differente treatment protocols. We investigated different protocols currently used for various tumor types. Our results show that with this approach it is possible to obtain more efficient protocols with lower cost that those used. It is also possible to investigate the effect of fractionation protocols on the tumor evolution in order to obtain less aggressive protocols that are effective for patient cure with lower total dose and in smaller treatment time.
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spelling A mathematical model for the estimation of treatment cost in cancer radiotherapyModelo matemático para estimação do custo do tratamento do câncer por radioterapiaCrescimento de tumoresRadioterapiaCusto de tratamentoModelagem matemáticaIn this work we present a methodology for the investigation of costs of cancer treatment by radiotherapy, aiming to reduce the undesired effects of radiation and to obtain better results of the treatment. The tumor growth is simulated by using a mathematical model composed of three ordinary diferential equations corresponding to the population of Normal, Tumoral and Imune cells. The effect of radiation over each type of cells is considered using the linear quadratic model applied for the various distinct treatment protocols investigated. Cost of treatment is obtained using a model based on the concept of tumor cure probability, cost per fraction and cost of failure. The concept of biological effective dose is used in order to compare differente treatment protocols. We investigated different protocols currently used for various tumor types. Our results show that with this approach it is possible to obtain more efficient protocols with lower cost that those used. It is also possible to investigate the effect of fractionation protocols on the tumor evolution in order to obtain less aggressive protocols that are effective for patient cure with lower total dose and in smaller treatment time.Uma metodologia alternativa para o estudo do custo do tratamento do câncer através da radioterapia é proposta nesse trabalho. Essa metodologia tem como objetivo diminuir os efeitos indesejados causados pela radiação e obter um melhor custo-benefício, a partir de resultados obtidos da modelagem matemática. O crescimento do tumor é simulado através do modelo matemático representado por um sistema de três equações diferenciais ordinárias no qual são consideradas células normais, imunológicas e tumorais. O efeito do tratamento por radioterapia é simulado pela aplicação do modelo linear quadrático. O custo do tratamento é calculado utilizando um modelo no qual se considera a probabilidade de cura do tumor, o custo por fração de aplicação e o custo de falha do tratamento. Para comparação entre os diferentes protocolos de tratamento é usado o conceito de dose biológica efetiva. Os resultados mostram que a metodologia proposta pode descrever protocolos mais eficientes e com um menor custo do que os protocolos padrões usados atualmente. Além disso, permite avaliar o efeito de diferentes protocolos de tratamento sobre a evolução do tumor, podendo obter um tratamento menos agressivo ao paciente e que permita a cura em menor tempo e com uma menor dose total de radiação.Universidade Federal do Rio Grande2010-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.furg.br/vetor/article/view/1659VETOR - Journal of Exact Sciences and Engineering; Vol. 17 No. 1 (2007); 47-62VETOR - Revista de Ciências Exatas e Engenharias; v. 17 n. 1 (2007); 47-622358-34520102-7352reponame:Vetor (Online)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGporhttps://periodicos.furg.br/vetor/article/view/1659/812Copyright (c) 2014 VETOR - Revista de Ciências Exatas e Engenhariasinfo:eu-repo/semantics/openAccessWahl, Suzi DarliFeldmann, GersonFoletto, Tanísia de Carli2023-03-22T15:42:39Zoai:periodicos.furg.br:article/1659Revistahttps://periodicos.furg.br/vetorPUBhttps://periodicos.furg.br/vetor/oaigmplatt@furg.br2358-34520102-7352opendoar:2023-03-22T15:42:39Vetor (Online) - Universidade Federal do Rio Grande (FURG)false
dc.title.none.fl_str_mv A mathematical model for the estimation of treatment cost in cancer radiotherapy
Modelo matemático para estimação do custo do tratamento do câncer por radioterapia
title A mathematical model for the estimation of treatment cost in cancer radiotherapy
spellingShingle A mathematical model for the estimation of treatment cost in cancer radiotherapy
Wahl, Suzi Darli
Crescimento de tumores
Radioterapia
Custo de tratamento
Modelagem matemática
title_short A mathematical model for the estimation of treatment cost in cancer radiotherapy
title_full A mathematical model for the estimation of treatment cost in cancer radiotherapy
title_fullStr A mathematical model for the estimation of treatment cost in cancer radiotherapy
title_full_unstemmed A mathematical model for the estimation of treatment cost in cancer radiotherapy
title_sort A mathematical model for the estimation of treatment cost in cancer radiotherapy
author Wahl, Suzi Darli
author_facet Wahl, Suzi Darli
Feldmann, Gerson
Foletto, Tanísia de Carli
author_role author
author2 Feldmann, Gerson
Foletto, Tanísia de Carli
author2_role author
author
dc.contributor.author.fl_str_mv Wahl, Suzi Darli
Feldmann, Gerson
Foletto, Tanísia de Carli
dc.subject.por.fl_str_mv Crescimento de tumores
Radioterapia
Custo de tratamento
Modelagem matemática
topic Crescimento de tumores
Radioterapia
Custo de tratamento
Modelagem matemática
description In this work we present a methodology for the investigation of costs of cancer treatment by radiotherapy, aiming to reduce the undesired effects of radiation and to obtain better results of the treatment. The tumor growth is simulated by using a mathematical model composed of three ordinary diferential equations corresponding to the population of Normal, Tumoral and Imune cells. The effect of radiation over each type of cells is considered using the linear quadratic model applied for the various distinct treatment protocols investigated. Cost of treatment is obtained using a model based on the concept of tumor cure probability, cost per fraction and cost of failure. The concept of biological effective dose is used in order to compare differente treatment protocols. We investigated different protocols currently used for various tumor types. Our results show that with this approach it is possible to obtain more efficient protocols with lower cost that those used. It is also possible to investigate the effect of fractionation protocols on the tumor evolution in order to obtain less aggressive protocols that are effective for patient cure with lower total dose and in smaller treatment time.
publishDate 2010
dc.date.none.fl_str_mv 2010-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.furg.br/vetor/article/view/1659
url https://periodicos.furg.br/vetor/article/view/1659
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.furg.br/vetor/article/view/1659/812
dc.rights.driver.fl_str_mv Copyright (c) 2014 VETOR - Revista de Ciências Exatas e Engenharias
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2014 VETOR - Revista de Ciências Exatas e Engenharias
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal do Rio Grande
publisher.none.fl_str_mv Universidade Federal do Rio Grande
dc.source.none.fl_str_mv VETOR - Journal of Exact Sciences and Engineering; Vol. 17 No. 1 (2007); 47-62
VETOR - Revista de Ciências Exatas e Engenharias; v. 17 n. 1 (2007); 47-62
2358-3452
0102-7352
reponame:Vetor (Online)
instname:Universidade Federal do Rio Grande (FURG)
instacron:FURG
instname_str Universidade Federal do Rio Grande (FURG)
instacron_str FURG
institution FURG
reponame_str Vetor (Online)
collection Vetor (Online)
repository.name.fl_str_mv Vetor (Online) - Universidade Federal do Rio Grande (FURG)
repository.mail.fl_str_mv gmplatt@furg.br
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