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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/95EC6A33-E648-49BC-9BDA-98E50AC0FCC9 | - |
| Identifier | https://doi.org/10.1109/IEMBS.2009.5333776 | - |
| Language | en | - |
| Extent | 4 pages | en |
| Title | A complete mathematical study of a 3D model of heterogeneous and anisotropic glioma evolution | en |
| Creator | Zervakis Michalis | en |
| Creator | Ζερβακης Μιχαλης | el |
| Creator | Roniotis Alexandros | en |
| Creator | Ρονιωτης Αλεξανδρος | el |
| Creator | Sakkalis, Vangelis | en |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Content Summary | Glioma is the most aggressive type of brain cancer. Several mathematical models have been developed towards identifying the mechanism of tumor growth. The most successful models have used variations of the diffusion-reaction equation, with the recent ones taking into account brain tissue heterogeneity and anisotropy. However, to the best of our knowledge, there hasn't been any work studying in detail the mathematical solution and implementation of the 3D diffusion model, addressing related heterogeneity and anisotropy issues. To this end, this paper introduces a complete mathematical framework on how to derive the solution of the equation using different numerical approximation of finite differences. It indicates how different proliferation rate schemes can be incorporated in this solution and presents a comparative study of different numerical approaches. | en |
| Type of Item | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Type of Item | Conference Full Paper | en |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-23 | - |
| Date of Publication | 2009 | - |
| Subject | Medical | en |
| Bibliographic Citation | A. Roniotis, K. Marias, V. Sakkalis, G.D. Tsibidis, M. Zervakis," A complete mathematical study of a 3D model of heterogeneous and anisotropic glioma evolution,"in 2009 Annual Inter. Conf. of the IEEE Eng. in Medicine and Biol. Society EMBC,pp.2807 - 2810.doi:10.1109/IEMBS.2009.5333776 | en |
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