Development and testing of a coupled biphasic numerical model of tumor growth

Παπάς, Χριστόφορος Ορέστης; Papas, Christoforos Orestis

dc.contributor.author	Παπάς, Χριστόφορος Ορέστης	el
dc.contributor.author	Papas, Christoforos Orestis	en
dc.date.accessioned	2024-07-24T11:11:33Z
dc.date.available	2024-07-24T11:11:33Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/59956
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.27652
dc.rights	Αναφορά Δημιουργού-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nd/3.0/gr/	*
dc.subject	Computational Biomechanincs	en
dc.subject	Implicit Time Integration	en
dc.subject	Coupled System of PDE	en
dc.subject	Finite Element Method	en
dc.subject	Μοντέλα Καρκίνου	el
dc.subject	Tumor Modeling	en
dc.subject	Υπολογιστική Εμβιομηχανική	el
dc.subject	Μέθοδος Πεπερασμένων Στοιχείων	el
dc.subject	Συζευγμένο Σύστημα ΜΔΕ	el
dc.subject	Άρρητα Σχήματα Ολοκλήρωσης	el
dc.title	Development and testing of a coupled biphasic numerical model of tumor growth	en
heal.type	masterThesis
heal.classification	Υπολογιστική Εμβιομηχανική	el
heal.classification	Computational Biomechanics	en
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2023-11-16
heal.abstract	This thesis focuses on the computational solution and validation of a sophisticated numerical model for simulating the tumor microenvironment (TME), emphasizing the interactions among cancer cell proliferation, oxygen transport phenomena, and the mechanical behavior of both tumor and host tissues. The primary objective is to develop and validate a reliable tool for understanding tumor dynamics, providing insights that can inform the design of more effective patient-specific treatments. The mathematical model accounts for the biphasic nature of tumor tissues and their complex interactions with surrounding healthy tissues. The mechanical behavior is modeled using both linear and hyperelastic constitutive laws, while the transport phenomena are governed by coupled convection-diffusion-reaction partial differential equations for oxygen concentration and cancer cell population. These formulations include detailed representations of interstitial fluid flow, solid stress states, and the influence of tumor growth on tissue deformation. Spatial discretization is achieved using the Finite Element Method, while temporal discretization is performed with methods such as Newmark and Generalized-$\alpha$. Coupling of the linear systems is accomplished with an advanced iterative solver. The methods developed are implemented in msolve and benchmarked against COMSOL to ensure accuracy and reliability. The results highlight significant differences in mechanical responses and transport phenomena between tumor and host tissues, influenced by their inherent heterogeneity. Detailed simulations provide valuable information on growth patterns, stress distributions, and oxygenation levels within the Tumor Micro Environment (TME), contributing to a deeper understanding of the mechanisms driving cancer progression. Overall, this thesis underscores the crucial role of computational modeling in medical research and serves as a foundation for refining clinical research parameters for patient-specific treatments. Future integration with stochastic and AI tools, along with the utilization of MRI data and advanced HPC platforms, will further improve the accuracy and applicability of these simulations in personalized cancer therapy.	el
heal.advisorName	Παπαδόπουλος, Βησσαρίων	el
heal.committeeMemberName	Καβουσανάκης, Μιχάλης	el
heal.committeeMemberName	Χαριτίδης, Κώστας	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Πολιτικών Μηχανικών	el
heal.academicPublisherID	ntua
heal.numberOfPages	65 σ.	el
heal.fullTextAvailability	false