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Comparing finite elements and finite differences for developing diffusive models of glioma growth

Zervakis Michalis, Sakkalis, Vangelis, Stamatakos, Georgio S, Kostas Marias

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/2754681C-88EB-4AED-9DA3-1FA084738FBE-
Αναγνωριστικόhttps://doi.org/10.1109/IEMBS.2010.5625973-
Γλώσσαen-
Μέγεθος4 pagesen
ΤίτλοςComparing finite elements and finite differences for developing diffusive models of glioma growthen
ΔημιουργόςZervakis Michalisen
ΔημιουργόςΖερβακης Μιχαληςel
ΔημιουργόςSakkalis, Vangelisen
ΔημιουργόςStamatakos, Georgio Sen
ΔημιουργόςKostas Mariasen
ΕκδότηςInstitute of Electrical and Electronics Engineersen
ΠερίληψηGlioma is the most aggressive type of brain tumor. Several mathematical models have been developed during the last two decades, towards simulating the mechanisms that govern the development of glioma. The most common models use the diffusion-reaction equation (DRE) for simulating the spatiotemporal variation of tumor cell concentration. The proposed diffusive models have mainly used finite differences (FDs) or finite elements (FEs) for the approximation of the solution of the partial differential DRE. This paper presents experimental results on the comparison of the FEs and FDs, especially focused on the glioma model case. It is studied how the different meshes of brain can affect computational consistency, simulation time and efficiency of the model. The experiments have been studied on a test case, for which there is a known algebraic expression of the solution. Thus, it is possible to calculate the error that the different models yield.en
ΤύποςΠλήρης Δημοσίευση σε Συνέδριοel
ΤύποςConference Full Paperen
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-24-
Ημερομηνία Δημοσίευσης2010-
Θεματική ΚατηγορίαClinical laboratory techniciansen
Θεματική ΚατηγορίαMedical laboratory techniciansen
Θεματική Κατηγορίαmedical technologistsen
Θεματική Κατηγορίαclinical laboratory techniciansen
Θεματική Κατηγορίαmedical laboratory techniciansen
Βιβλιογραφική ΑναφοράA. Roniotis, K. Marias, V. Sakkalis, G. Stamatakos, M. Zervakis ,"Comparing finite elements and finite differences for developing diffusive models of glioma growth ,"in 2013 Annual Intern. Conf. of the IEEE Eng. in Medicine and Biol. Society (EMBC) ,pp.6797 - 6800.doi:10.1109/IEMBS.2010.5625973en

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