Numerical modelling of the growth of glioblastoma cells in microfluidic devices
Tipus de documentProjecte Final de Màster Oficial
Data2022-06
Condicions d'accésAccés obert
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Abstract
Glioblastoma Multiform tumour (GBM) is the most common and aggressive of the primary gliomas. Therefore, special efforts are focused on the development of new drugs and therapies that can lead to a better prognosis. To this end, in this work, a mathematical model for the growth of the glioblastoma cells in microfluidic devices is developed. It is based on a system of non-linear partial differential equations and ordinary differential equations. This model is solved using high-order continuous finite elements method and high-order Diagonally Implicit Runge-Kutta, DIRK, temporal discretization schemes. Hence, we end up with a non-linear system at each time stage which is solved applying the Newton-Raphson s method. Finally, we present several examples that illustrate the capabilities of the presented formulation.
MatèriesDifference equations, Partial--Numerical solutions, Equacions diferencials parcials--solucions numèriques
TitulacióMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)
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