A Mathematical model for treatment of papillary thyroid cancer using the allee effect
Autor: | Paulo Fernando de Arruda Mancera, Izabel Cristina Rodrigues da Silva, Mostafa Adimy, Jairo Gomes da Silva, Rafael Martins de Morais |
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Přispěvatelé: | Universidade Estadual Paulista Júlio de Mesquita Filho = São Paulo State University (UNESP), Imagens Médicas de Brasília [Taguatinga] (IMEB), Universidade de Brasilia [Brasília] (UnB), Multi-scale modelling of cell dynamics : application to hematopoiesis (DRACULA), Centre de génétique et de physiologie moléculaire et cellulaire (CGPhiMC), Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan (ICJ), Modélisation mathématique, calcul scientifique (MMCS), Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Camille Jordan [Villeurbanne] (ICJ), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan [Villeurbanne] (ICJ), Universidade Estadual Paulista (Unesp), Imagens Médicas de Brasília (IMEB), Universidade de Brasília (UnB), Institute Camille Jordan |
Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
0301 basic medicine
Oncology medicine.medical_specialty endocrine system diseases [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Interleukin 6 Papillary thyroid cancer 03 medical and health sciences symbols.namesake 0302 clinical medicine Internal medicine hemic and lymphatic diseases medicine Thyroid cancer Thyroid tumors Thyroid Tumor Allee effect Ecology biology business.industry Applied Mathematics Incidence (epidemiology) General Medicine medicine.disease Agricultural and Biological Sciences (miscellaneous) 3. Good health 030104 developmental biology Ordinary Differential Equations 030220 oncology & carcinogenesis biology.protein symbols Radioiodine business Thyroid tumor Ordinary differential equations |
Zdroj: | Journal of Biological Systems Journal of Biological Systems, 2020, 28 (03), pp.701-718. ⟨10.1142/S0218339020500138⟩ Journal of Biological Systems, World Scientific Publishing, 2020, 28 (03), pp.701-718. ⟨10.1142/S0218339020500138⟩ Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP |
ISSN: | 0218-3390 |
Popis: | Made available in DSpace on 2021-06-25T10:11:28Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-09-01 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. Programa de Pós-Graduação em Biometria Universidade Estadual Paulista (UNESP) Instituto de Biociências Botucatu Sp Imagens Médicas de Brasília (IMEB) Universidade de Brasília (UnB) Faculdade de Ceilândia Inria Univ Lyon Université de Lyon 1 Institute Camille Jordan, 43 Bd. du 11 novembre 1918 Universidade Estadual Paulista (UNESP) Instituto de Biociências Programa de Pós-Graduação em Biometria Universidade Estadual Paulista (UNESP) Instituto de Biociências Botucatu Sp Universidade Estadual Paulista (UNESP) Instituto de Biociências |
Databáze: | OpenAIRE |
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