Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy

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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Main Authors: Marzena Dołbniak, Andrzej Świerniak
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2013/567213
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spelling doaj-17e022e4b7bd444f8cbc2f007db69f842020-11-24T23:52:42ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182013-01-01201310.1155/2013/567213567213Comparison of Simple Models of Periodic Protocols for Combined Anticancer TherapyMarzena Dołbniak0Andrzej Świerniak1Department of Automatic Control, Silesian University of Technology, ul. Akademicka 2A, 44-100 Gliwice, PolandDepartment of Automatic Control, Silesian University of Technology, ul. Akademicka 2A, 44-100 Gliwice, PolandSeveral 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.http://dx.doi.org/10.1155/2013/567213
collection DOAJ
language English
format Article
sources DOAJ
author Marzena Dołbniak
Andrzej Świerniak
spellingShingle Marzena Dołbniak
Andrzej Świerniak
Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy
Computational and Mathematical Methods in Medicine
author_facet Marzena Dołbniak
Andrzej Świerniak
author_sort Marzena Dołbniak
title 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_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_sort comparison of simple models of periodic protocols for combined anticancer therapy
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-670X
1748-6718
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/567213
work_keys_str_mv AT marzenadołbniak comparisonofsimplemodelsofperiodicprotocolsforcombinedanticancertherapy
AT andrzejswierniak comparisonofsimplemodelsofperiodicprotocolsforcombinedanticancertherapy
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