One of the basic aspects to understand the growth of a tumor such as Glioblastoma multiforme (GBM) is the development of models not only qualitative, but also quantitative of their behaviour. To do this, it is necessary to consider constitutive laws that include, on the one hand, the evolution of cell proliferation, death and migration by mechanotaxis and chemotaxis, and on the other hand, consider the dependence of state variables on aspects that have been shown to be highly relevant, such as concentration, gradient and temporal variation of oxygen, glucose and TMZ. Therefore, the fundamental objective of this subproject is the development and implementation of a 3D numerical model capable of quantifying the evolution of GBM in a human brain in vivo, including its location and its growth due to the oxygen surge and its possible decrease due to the supply of drugs and radiation treatments. The effects of this dependence will be described through a coupled system of transient partial differential equations and the development of constitutive laws (the identification of their parameters will be done jointly with the other two subprojects). To achieve this goal, a methodology will be developed based on: (1) the development of a mathematical model that considers the transient spreading of the GMB coupled through a non-linear term with a set of equations that takes into account the diffusing behaviour inside the heterogeneous and anisotropic brain tissue of the chemical species (oxygen, drugs, ) and the reaction in font of radiation treatment; (2) the development and implementation of the numerical model that accurately describes the non-linear coupling of the two transient set of equations, one corresponding to the tumour growth and another for each chemical specimen; (3) the development of a procedure to generate the tumour geometry from medical images and generate its discretization with unstructured meshes; (4) the adaptive numerical technology needed to numerically follow the large displacements of the tumour boundary due to the tumour growth; and (5) the comparison of the obtained results with real images. Finally, it should be noted that the methodology and technology proposed in this project represents a fundamental change in the knowledge and numerical simulation of tumor growth. Due to the impact and the social and economic consequences that the development of this knowledge has, we considered that it is not sufficient to have qualitative models and that it is essential to develop quantitative models based on both the mechanical behaviour of the tumour and its chemical species and received radiation. This is precisely the leitmotiv that drives the present project.
Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020
Programa Estatal de Generación de Conocimiento y Fortalecimiento Científico y Tecnológico del Sistema de I+D+i
Subprograma Estatal de Generación de Conocimiento
Proyectos de I+D de generación de conocimiento (antigues EXC)
Costa, A.; Ruiz Gironès , E.; Sarrate, J. International journal of computational fluid dynamics Vol. 33, num. 4, p. 137-148 DOI: 10.1080/10618562.2019.1617855 Date of publication: 2019-05-27 Journal article