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

Roniotis, A; Marias, K; Sakkalis, V; Stamatakos, G; Zervakis, M

dc.contributor.author	Roniotis, A	en
dc.contributor.author	Marias, K	en
dc.contributor.author	Sakkalis, V	en
dc.contributor.author	Stamatakos, G	en
dc.contributor.author	Zervakis, M	en
dc.date.accessioned	2014-03-01T02:46:43Z
dc.date.available	2014-03-01T02:46:43Z
dc.date.issued	2010	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32807
dc.subject	Affective Computing	en
dc.subject	Brain Tumor	en
dc.subject	Finite Difference	en
dc.subject	Finite Element	en
dc.subject	Mathematical Model	en
dc.subject	Tumor Cells	en
dc.subject.other	Algebraic expression	en
dc.subject.other	Brain tumors	en
dc.subject.other	Common models	en
dc.subject.other	Diffusion-reaction equation	en
dc.subject.other	Diffusive model	en
dc.subject.other	Finite difference	en
dc.subject.other	Finite Element	en
dc.subject.other	Finite elements	en
dc.subject.other	Partial differential	en
dc.subject.other	Simulation time	en
dc.subject.other	Spatio-temporal variation	en
dc.subject.other	Test case	en
dc.subject.other	Tumor cells	en
dc.subject.other	Finite difference method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Tumors	en
dc.subject.other	Computer simulation	en
dc.title	Comparing finite elements and finite differences for developing diffusive models of glioma growth	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/IEMBS.2010.5625973	en
heal.identifier.secondary	http://dx.doi.org/10.1109/IEMBS.2010.5625973	en
heal.identifier.secondary	5625973	en
heal.publicationDate	2010	en
heal.abstract	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. © 2010 IEEE.	en
heal.journalName	2010 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC'10	en
dc.identifier.doi	10.1109/IEMBS.2010.5625973	en
dc.identifier.spage	6797	en
dc.identifier.epage	6800	en