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Solving the PIHNA model while accounting for radiotherapy

Zervakis Michalis, Sakkalis, Vangelis, Roniotis Alexandros, Tzamali, Ekaterini, G.Tzetaki

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URI: http://purl.tuc.gr/dl/dias/9429F39D-00B6-40B5-8B5A-E746DED3D3E9
Year 2012
Type of Item Conference Full Paper
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Bibliographic Citation A. Roniotis, V. Sakkalis, E. Tzamali, G. Tzedakis, M. Zervakis, K.Marias .(2012).Solving the PIHNA model while accounting for radiotherapy.Presenta at 5th International Advanced Research Workshop in In Silico Oncology and Cancer Investigation.[online].Available: http://www.researchgate.net/profile/Georgios_Stamatakos/publication/234110079_Proceedings_of_the_2012_5th_International_Advanced_Research_Workshop_on_In_Silico_Oncology_and_Cancer_Investigation__The_TUMOR_Project_Workshop_(IARWISOCI)_OPEN_ACCESS_VER
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Summary

Glioblastoma is the most aggressive type of glioma. During the last decades, several models have been proposed for simulating the growth procedure of glioma. One of the latest proposed models builds upon the proliferation - diffusion model by incorporating the angiogenic net rates and different concentration of cell populations (normoxic, hypoxic and necrotic). This proliferation- invasion- hypoxia- necrosis-angiogenesis model (PIHNA) does not take into account radiotherapy. This work presents the mathematical foundation for solving PIHNA model in two dimensions with incorporated radiotherapy effect using the Linear Quadratic Model, which uses radiobiology parameters.

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