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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2013
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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. |
format | Online Article Text |
id | pubmed-3638653 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT dołbniakmarzena comparisonofsimplemodelsofperiodicprotocolsforcombinedanticancertherapy AT swierniakandrzej comparisonofsimplemodelsofperiodicprotocolsforcombinedanticancertherapy |