Institutional Repository
Technical University of Crete
Technical University of Crete
EN
|
EL
| URI: | http://purl.tuc.gr/dl/dias/2754681C-88EB-4AED-9DA3-1FA084738FBE | ||
| Year | 2010 | ||
| Type of Item | Conference Full Paper | ||
| License |
|
||
| Bibliographic Citation | A. 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.2010.5625973 https://doi.org/10.1109/IEMBS.2010.5625973 | ||
| Appears in Collections |
Glioma 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.
Copyright © DIAS 2013
