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Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy

Several simple ordinary differential equation (ODE) models of tumor growth taking into account the development of its vascular network are discussed. Different biological aspects are considered from the simplest model of Hahnfeldt et al. proposed in 1999 to a model which includes drug resistance of...

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Detalles Bibliográficos
Autores principales: Dołbniak, Marzena, Świerniak, Andrzej
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3638653/
https://www.ncbi.nlm.nih.gov/pubmed/23653666
http://dx.doi.org/10.1155/2013/567213
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author Dołbniak, Marzena
Świerniak, Andrzej
author_facet Dołbniak, Marzena
Świerniak, Andrzej
author_sort Dołbniak, Marzena
collection PubMed
description Several simple ordinary differential equation (ODE) models of tumor growth taking into account the development of its vascular network are discussed. Different biological aspects are considered from the simplest model of Hahnfeldt et al. proposed in 1999 to a model which includes drug resistance of cancer cells to chemotherapy. Some of these models can be used in clinical oncology to optimize antiangiogenic and cytostatic drugs delivery so as to ensure maximum efficacy. Simple models of continuous and periodic protocols of combined therapy are implemented. Discussion on the dynamics of the models and their complexity is presented.
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spelling pubmed-36386532013-05-07 Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy Dołbniak, Marzena Świerniak, Andrzej Comput Math Methods Med Research Article Several simple ordinary differential equation (ODE) models of tumor growth taking into account the development of its vascular network are discussed. Different biological aspects are considered from the simplest model of Hahnfeldt et al. proposed in 1999 to a model which includes drug resistance of cancer cells to chemotherapy. Some of these models can be used in clinical oncology to optimize antiangiogenic and cytostatic drugs delivery so as to ensure maximum efficacy. Simple models of continuous and periodic protocols of combined therapy are implemented. Discussion on the dynamics of the models and their complexity is presented. Hindawi Publishing Corporation 2013 2013-04-07 /pmc/articles/PMC3638653/ /pubmed/23653666 http://dx.doi.org/10.1155/2013/567213 Text en Copyright © 2013 M. Dołbniak and A. Świerniak. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Dołbniak, Marzena
Świerniak, Andrzej
Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
title Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
title_full Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
title_fullStr Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
title_full_unstemmed Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
title_short Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
title_sort comparison of simple models of periodic protocols for combined anticancer therapy
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3638653/
https://www.ncbi.nlm.nih.gov/pubmed/23653666
http://dx.doi.org/10.1155/2013/567213
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