A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1142/S0218339020500138 http://hdl.handle.net/11449/205196 |
Resumo: | The incidence of thyroid cancer is rising all over the world, and the papillary subtype (PTC) is the primary factor for this increase. The presence of thyroid tumors is commonly associated with increased levels of cytokines, such as interleukin 6 (IL-6). Considering PTC patients treated with thyroidectomy and radioactive iodine 131I (RAI), we propose an ordinary differential system using four variables: the RAI activity, the number of cancer cells and the serum concentrations of IL-6 and thyroglobulin (Tg). Our objective is to study the efficacy of different therapeutic doses of RAI in the treatment of thyroid cancer. The Allee effect is taken into account when modeling cancer cells growth under the influence of IL-6. From the results obtained, the main factors and conditions correlated with successful treatment, such as the RAI activity used and the tumor response are addressed. The detection of minimal doses of RAI that can cause tumor extinction is performed, though this has also meant longer periods for tumor cell elimination. The critical number of tumor cells due to the Allee effect is analyzed and linked to the immune system or biological factors that can slow the progression of the tumor but are insufficient after thyroid resection surgery. |
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A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECTInterleukin 6Ordinary Differential EquationsRadioiodineThyroid TumorThe incidence of thyroid cancer is rising all over the world, and the papillary subtype (PTC) is the primary factor for this increase. The presence of thyroid tumors is commonly associated with increased levels of cytokines, such as interleukin 6 (IL-6). Considering PTC patients treated with thyroidectomy and radioactive iodine 131I (RAI), we propose an ordinary differential system using four variables: the RAI activity, the number of cancer cells and the serum concentrations of IL-6 and thyroglobulin (Tg). Our objective is to study the efficacy of different therapeutic doses of RAI in the treatment of thyroid cancer. The Allee effect is taken into account when modeling cancer cells growth under the influence of IL-6. From the results obtained, the main factors and conditions correlated with successful treatment, such as the RAI activity used and the tumor response are addressed. The detection of minimal doses of RAI that can cause tumor extinction is performed, though this has also meant longer periods for tumor cell elimination. The critical number of tumor cells due to the Allee effect is analyzed and linked to the immune system or biological factors that can slow the progression of the tumor but are insufficient after thyroid resection surgery.Programa de Pós-Graduação em Biometria Universidade Estadual Paulista (UNESP) Instituto de Biociências Botucatu SpImagens Médicas de Brasília (IMEB)Universidade de Brasília (UnB) Faculdade de CeilândiaInria Univ Lyon Université de Lyon 1 Institute Camille Jordan, 43 Bd. du 11 novembre 1918Universidade Estadual Paulista (UNESP) Instituto de BiociênciasPrograma de Pós-Graduação em Biometria Universidade Estadual Paulista (UNESP) Instituto de Biociências Botucatu SpUniversidade Estadual Paulista (UNESP) Instituto de BiociênciasUniversidade Estadual Paulista (Unesp)Imagens Médicas de Brasília (IMEB)Universidade de Brasília (UnB)Institute Camille JordanDa Silva, Jairo Gomes [UNESP]De Morais, Rafael MartinsDa Silva, Izabel Cristina RodriguesAdimy, MostafaDe Arruda Mancera, Paulo Fernando [UNESP]2021-06-25T10:11:28Z2021-06-25T10:11:28Z2020-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article701-718http://dx.doi.org/10.1142/S0218339020500138Journal of Biological Systems, v. 28, n. 3, p. 701-718, 2020.0218-3390http://hdl.handle.net/11449/20519610.1142/S02183390205001382-s2.0-85091312512Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Biological Systemsinfo:eu-repo/semantics/openAccess2021-10-23T11:55:37Zoai:repositorio.unesp.br:11449/205196Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:38:15.455396Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
title |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
spellingShingle |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT Da Silva, Jairo Gomes [UNESP] Interleukin 6 Ordinary Differential Equations Radioiodine Thyroid Tumor |
title_short |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
title_full |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
title_fullStr |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
title_full_unstemmed |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
title_sort |
A MATHEMATICAL MODEL for TREATMENT of PAPILLARY THYROID CANCER USING the ALLEE EFFECT |
author |
Da Silva, Jairo Gomes [UNESP] |
author_facet |
Da Silva, Jairo Gomes [UNESP] De Morais, Rafael Martins Da Silva, Izabel Cristina Rodrigues Adimy, Mostafa De Arruda Mancera, Paulo Fernando [UNESP] |
author_role |
author |
author2 |
De Morais, Rafael Martins Da Silva, Izabel Cristina Rodrigues Adimy, Mostafa De Arruda Mancera, Paulo Fernando [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Imagens Médicas de Brasília (IMEB) Universidade de Brasília (UnB) Institute Camille Jordan |
dc.contributor.author.fl_str_mv |
Da Silva, Jairo Gomes [UNESP] De Morais, Rafael Martins Da Silva, Izabel Cristina Rodrigues Adimy, Mostafa De Arruda Mancera, Paulo Fernando [UNESP] |
dc.subject.por.fl_str_mv |
Interleukin 6 Ordinary Differential Equations Radioiodine Thyroid Tumor |
topic |
Interleukin 6 Ordinary Differential Equations Radioiodine Thyroid Tumor |
description |
The incidence of thyroid cancer is rising all over the world, and the papillary subtype (PTC) is the primary factor for this increase. The presence of thyroid tumors is commonly associated with increased levels of cytokines, such as interleukin 6 (IL-6). Considering PTC patients treated with thyroidectomy and radioactive iodine 131I (RAI), we propose an ordinary differential system using four variables: the RAI activity, the number of cancer cells and the serum concentrations of IL-6 and thyroglobulin (Tg). Our objective is to study the efficacy of different therapeutic doses of RAI in the treatment of thyroid cancer. The Allee effect is taken into account when modeling cancer cells growth under the influence of IL-6. From the results obtained, the main factors and conditions correlated with successful treatment, such as the RAI activity used and the tumor response are addressed. The detection of minimal doses of RAI that can cause tumor extinction is performed, though this has also meant longer periods for tumor cell elimination. The critical number of tumor cells due to the Allee effect is analyzed and linked to the immune system or biological factors that can slow the progression of the tumor but are insufficient after thyroid resection surgery. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-09-01 2021-06-25T10:11:28Z 2021-06-25T10:11:28Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1142/S0218339020500138 Journal of Biological Systems, v. 28, n. 3, p. 701-718, 2020. 0218-3390 http://hdl.handle.net/11449/205196 10.1142/S0218339020500138 2-s2.0-85091312512 |
url |
http://dx.doi.org/10.1142/S0218339020500138 http://hdl.handle.net/11449/205196 |
identifier_str_mv |
Journal of Biological Systems, v. 28, n. 3, p. 701-718, 2020. 0218-3390 10.1142/S0218339020500138 2-s2.0-85091312512 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Biological Systems |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
701-718 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129539458465792 |