Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy | Zendy

Marzena Dołbniak | Zendy; Andrzej Świerniak | Zendy

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Comparison of Simple Models of Periodic Protocols for Combined Anticancer Therapy

Author(s) -

Marzena Dołbniak,

Andrzej Świerniak

Publication year - 2013

Publication title -

computational and mathematical methods in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.462

H-Index - 48

eISSN - 1748-6718

pISSN - 1748-670X

DOI - 10.1155/2013/567213

Subject(s) - ode , simple (philosophy) , ordinary differential equation , computer science , clinical oncology , differential (mechanical device) , anticancer drug , mathematics , differential equation , medicine , cancer , drug , pharmacology , physics , mathematical analysis , epistemology , thermodynamics , philosophy

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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