Three dimensional simulation of avascular tumors with the open source finite element software elmer

Ιωάννου, Αμαλία; Ioannou, Amalia

dc.contributor.author	Ιωάννου, Αμαλία	el
dc.contributor.author	Ioannou, Amalia	en
dc.date.accessioned	2025-01-08T10:47:21Z
dc.date.available	2025-01-08T10:47:21Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/60647
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.28343
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Υπολογιστική Μηχανική”	el
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Ανάπτυξη όγκου	el
dc.subject	Μέθοδος πεπερασμένων στοιχείων	el
dc.subject	Ασθενής διατύπωση	el
dc.subject	Μέθοδος Galerkin	el
dc.subject	Λογισμικό Elmer	el
dc.subject	Tumor growth	en
dc.subject	Finite element method	en
dc.subject	Weak formulation	en
dc.subject	Galerkin method	en
dc.subject	Elmer Software	en
dc.title	Three dimensional simulation of avascular tumors with the open source finite element software elmer	en
dc.title	Τρισδιάστατη προσομοίωση μη αγγειακών όγκων με το λογισμικό πεπερασμένων στοιχείων ανοιχτού κώδικα elmer	el
heal.type	masterThesis
heal.classification	Ανάπτυξη καρκινικού όγκου	el
heal.classification	Μέθοδος πεπερασμένων στοιχείων, elmer	el
heal.classification	Cancer tumor growth	en
heal.classification	Finite element method, elmer	en
heal.language	en
heal.access	campus
heal.recordProvider	ntua	el
heal.publicationDate	2024-07-08
heal.abstract	Undeniably, cancer is a leading cause of death worldwide as a disease that is developed in human body. According to the World Health Organization, more deaths are recorded by cancer than by cardiovascular diseases. For the application of effective treatments in order to face cancer, it is important to understand the underlying mechanisms and the growth zones of cancer. When a malignant tumor is created, it starts to growth and forms three discrete regions; the proliferating, the quiescent and necrotic zones that are depended on nutrients and oxygen supply during the time. In the present work, we apply a continuum-level mathematical model that provides the prediction of tumor growth through Partial Differential Equations in three dimensional space. The PDEs of the model describe the reaction diffusion system of the cells and oxygen nutrient. The mechanisms of the cancer cells equation include cell’s birth and death and the diffusion of them into the tissue. The mechanisms of the oxygen equation include the oxygen consumption for the cells birth and survival and the oxygen diffusion into the cells. The discretization of the equations and sphere domain is carried out with the application of the Finite Element Method and the solution of the problem is computed using the Elmer FEM – open source multiphysical simulation software. We first validate our ELMER code by performing 1D model simulations, which compare well with the predictions of the COMSOL Package software. We then present 3D simulations performed with ELMER, where we study the growth of single, and multi-seeds.	en
heal.advisorName	Καβουσανάκης, Μιχάλης	el
heal.committeeMemberName	Καβουσανάκης, Μιχάλης	el
heal.committeeMemberName	Χαριτίδης, Κωνσταντίνος	el
heal.committeeMemberName	Κόκκορης, Γεώργιος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Χημικών Μηχανικών	el
heal.academicPublisherID	ntua
heal.numberOfPages	91 σ.	el
heal.fullTextAvailability	false